22.324 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.104 * * * [progress]: [2/2] Setting up program. 0.107 * [progress]: [Phase 2 of 3] Improving. 0.107 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.107 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.107 * * [simplify]: iteration 1: (6 enodes) 0.108 * * [simplify]: iteration 2: (9 enodes) 0.109 * * [simplify]: iteration 3: (11 enodes) 0.112 * * [simplify]: Extracting #0: cost 1 inf + 0 0.112 * * [simplify]: Extracting #1: cost 4 inf + 0 0.112 * * [simplify]: Extracting #2: cost 6 inf + 0 0.112 * * [simplify]: Extracting #3: cost 6 inf + 1 0.112 * * [simplify]: Extracting #4: cost 0 inf + 518 0.112 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.117 * * [progress]: iteration 1 / 4 0.117 * * * [progress]: picking best candidate 0.119 * * * * [pick]: Picked # 0.119 * * * [progress]: localizing error 0.133 * * * [progress]: generating rewritten candidates 0.134 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.146 * * * [progress]: generating series expansions 0.146 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.146 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.146 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.147 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.147 * [taylor]: Taking taylor expansion of (log1p N) in N 0.148 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.148 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of 1 in N 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (log 1) into 0 0.149 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0 0.150 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.150 * [taylor]: Taking taylor expansion of (log1p N) in N 0.150 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.150 * [taylor]: Taking taylor expansion of (+ 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 N in N 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.151 * [backup-simplify]: Simplify (log 1) into 0 0.151 * [taylor]: Taking taylor expansion of (log N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (log 1) into 0 0.152 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.152 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.152 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.152 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.153 * [backup-simplify]: Simplify (+ 0 1) into 1 0.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.163 * [backup-simplify]: Simplify -1/2 into -1/2 0.164 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.164 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.164 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.164 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.164 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.164 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.164 * [taylor]: Taking taylor expansion of 1 in N 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [backup-simplify]: Simplify (log 1) into 0 0.165 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (log 1) into 0 0.166 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.166 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.166 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.166 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.166 * [taylor]: Taking taylor expansion of 1 in N 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [backup-simplify]: Simplify (+ 0 1) into 1 0.168 * [backup-simplify]: Simplify (log 1) into 0 0.168 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (log 1) into 0 0.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.169 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.169 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.184 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.184 * [backup-simplify]: Simplify -1/2 into -1/2 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [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 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [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 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.197 * [backup-simplify]: Simplify 1/3 into 1/3 0.198 * [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)))) 0.198 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.198 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.198 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.198 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.198 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.198 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.198 * [taylor]: Taking taylor expansion of 1 in N 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.198 * [taylor]: Taking taylor expansion of -1 in N 0.198 * [backup-simplify]: Simplify -1 into -1 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ -1 1) into -1 0.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.200 * [backup-simplify]: Simplify (log -1) into (log -1) 0.200 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.200 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.200 * [taylor]: Taking taylor expansion of -1 in N 0.200 * [backup-simplify]: Simplify -1 into -1 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ -1 1) into -1 0.201 * [backup-simplify]: Simplify (log -1) into (log -1) 0.201 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.201 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.201 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.201 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.201 * [taylor]: Taking taylor expansion of 1 in N 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.201 * [taylor]: Taking taylor expansion of -1 in N 0.201 * [backup-simplify]: Simplify -1 into -1 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ -1 1) into -1 0.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.202 * [backup-simplify]: Simplify (log -1) into (log -1) 0.202 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.202 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.203 * [taylor]: Taking taylor expansion of -1 in N 0.203 * [backup-simplify]: Simplify -1 into -1 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ -1 1) into -1 0.203 * [backup-simplify]: Simplify (log -1) into (log -1) 0.204 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.205 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.206 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ -1 0) into -1 0.212 * [backup-simplify]: Simplify -1 into -1 0.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.222 * [backup-simplify]: Simplify -1/2 into -1/2 0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [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 0.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [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 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.242 * [backup-simplify]: Simplify -1/3 into -1/3 0.243 * [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)))) 0.243 * * * [progress]: simplifying candidates 0.243 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.243 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.243 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.243 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.243 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.243 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.243 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.243 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.243 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.244 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.245 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.245 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.246 * [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)))) 0.248 * * [simplify]: iteration 1: (83 enodes) 0.283 * * [simplify]: iteration 2: (184 enodes) 0.368 * * [simplify]: iteration 3: (372 enodes) 0.519 * * [simplify]: iteration 4: (962 enodes) 1.535 * * [simplify]: Extracting #0: cost 24 inf + 0 1.536 * * [simplify]: Extracting #1: cost 192 inf + 1 1.538 * * [simplify]: Extracting #2: cost 477 inf + 3698 1.546 * * [simplify]: Extracting #3: cost 347 inf + 51295 1.565 * * [simplify]: Extracting #4: cost 90 inf + 137947 1.593 * * [simplify]: Extracting #5: cost 3 inf + 179535 1.628 * * [simplify]: Extracting #6: cost 0 inf + 179870 1.657 * [simplify]: Simplified to: (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (/ (exp (log1p N)) N) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (* (* (log1p N) (log1p N)) (log1p N)) (* (* (log N) (log N)) (log N))) (fma (log N) (+ (log N) (log1p N)) (* (log1p 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))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) 1.661 * * * [progress]: adding candidates to table 1.983 * * [progress]: iteration 2 / 4 1.983 * * * [progress]: picking best candidate 1.989 * * * * [pick]: Picked # 1.989 * * * [progress]: localizing error 2.011 * * * [progress]: generating rewritten candidates 2.011 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.112 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.116 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.122 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.134 * * * [progress]: generating series expansions 2.134 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.135 * [backup-simplify]: Simplify (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 2.135 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 2.135 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 2.135 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 2.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.135 * [taylor]: Taking taylor expansion of N in N 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (/ 1 1) into 1 2.135 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.135 * [taylor]: Taking taylor expansion of 1/3 in N 2.135 * [backup-simplify]: Simplify 1/3 into 1/3 2.135 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.135 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.135 * [taylor]: Taking taylor expansion of N in N 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (* 1 1) into 1 2.136 * [backup-simplify]: Simplify (* 1 1) into 1 2.136 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.136 * [taylor]: Taking taylor expansion of 1/2 in N 2.136 * [backup-simplify]: Simplify 1/2 into 1/2 2.136 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.136 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.136 * [taylor]: Taking taylor expansion of N in N 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (* 1 1) into 1 2.137 * [backup-simplify]: Simplify (/ 1 1) into 1 2.137 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 2.137 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 2.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.137 * [taylor]: Taking taylor expansion of N in N 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (/ 1 1) into 1 2.137 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.137 * [taylor]: Taking taylor expansion of 1/3 in N 2.137 * [backup-simplify]: Simplify 1/3 into 1/3 2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.137 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.137 * [taylor]: Taking taylor expansion of N in N 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (* 1 1) into 1 2.138 * [backup-simplify]: Simplify (* 1 1) into 1 2.138 * [backup-simplify]: Simplify (/ 1 1) into 1 2.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.138 * [taylor]: Taking taylor expansion of 1/2 in N 2.138 * [backup-simplify]: Simplify 1/2 into 1/2 2.138 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.138 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.138 * [taylor]: Taking taylor expansion of N in N 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (* 1 1) into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.139 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.139 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.139 * [backup-simplify]: Simplify 1/3 into 1/3 2.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.142 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.142 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.142 * [backup-simplify]: Simplify -1/2 into -1/2 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.146 * [backup-simplify]: Simplify (+ 1 0) into 1 2.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.149 * [backup-simplify]: Simplify (- 0) into 0 2.149 * [backup-simplify]: Simplify (+ 1 0) into 1 2.149 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 2.150 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (+ (/ 1 (/ 1 N)) (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 2.150 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 2.150 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 2.150 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.150 * [taylor]: Taking taylor expansion of N in N 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.150 * [taylor]: Taking taylor expansion of 1/3 in N 2.150 * [backup-simplify]: Simplify 1/3 into 1/3 2.150 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.150 * [taylor]: Taking taylor expansion of N in N 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.150 * [taylor]: Taking taylor expansion of 1/2 in N 2.150 * [backup-simplify]: Simplify 1/2 into 1/2 2.151 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.151 * [taylor]: Taking taylor expansion of N in N 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.151 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 2.151 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.151 * [taylor]: Taking taylor expansion of N in N 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.151 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.151 * [taylor]: Taking taylor expansion of 1/3 in N 2.151 * [backup-simplify]: Simplify 1/3 into 1/3 2.151 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.151 * [taylor]: Taking taylor expansion of N in N 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.151 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.151 * [taylor]: Taking taylor expansion of 1/2 in N 2.151 * [backup-simplify]: Simplify 1/2 into 1/2 2.151 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.151 * [taylor]: Taking taylor expansion of N in N 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.152 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (+ 1 0) into 1 2.153 * [backup-simplify]: Simplify (+ 1 0) into 1 2.153 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.154 * [backup-simplify]: Simplify (* 1 1) into 1 2.154 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.155 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.155 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.155 * [backup-simplify]: Simplify -1/2 into -1/2 2.156 * [backup-simplify]: Simplify (* 1 1) into 1 2.156 * [backup-simplify]: Simplify (* 1 1) into 1 2.156 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.157 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.158 * [backup-simplify]: Simplify (- 0) into 0 2.159 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.159 * [backup-simplify]: Simplify 1/3 into 1/3 2.159 * [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)))) 2.160 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (+ (/ 1 (/ 1 (- N))) (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) 2.160 * [approximate]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in (N) around 0 2.160 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 2.160 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 2.160 * [taylor]: Taking taylor expansion of N in N 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 2.160 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.160 * [taylor]: Taking taylor expansion of 1/2 in N 2.160 * [backup-simplify]: Simplify 1/2 into 1/2 2.160 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.160 * [taylor]: Taking taylor expansion of N in N 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.160 * [taylor]: Taking taylor expansion of 1/3 in N 2.160 * [backup-simplify]: Simplify 1/3 into 1/3 2.160 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.160 * [taylor]: Taking taylor expansion of N in N 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 2.161 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 2.161 * [taylor]: Taking taylor expansion of N in N 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 2.161 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.161 * [taylor]: Taking taylor expansion of 1/2 in N 2.161 * [backup-simplify]: Simplify 1/2 into 1/2 2.161 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.161 * [taylor]: Taking taylor expansion of N in N 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.161 * [taylor]: Taking taylor expansion of 1/3 in N 2.161 * [backup-simplify]: Simplify 1/3 into 1/3 2.161 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.161 * [taylor]: Taking taylor expansion of N in N 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [backup-simplify]: Simplify (- 0) into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (+ 1 0) into 1 2.163 * [backup-simplify]: Simplify (- 1) into -1 2.163 * [backup-simplify]: Simplify -1 into -1 2.163 * [backup-simplify]: Simplify (* 1 1) into 1 2.163 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.164 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.164 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.165 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.165 * [backup-simplify]: Simplify -1/2 into -1/2 2.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.166 * [backup-simplify]: Simplify (* 1 1) into 1 2.167 * [backup-simplify]: Simplify (* 1 1) into 1 2.167 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.168 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.168 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.169 * [backup-simplify]: Simplify (- 1/3) into -1/3 2.169 * [backup-simplify]: Simplify -1/3 into -1/3 2.169 * [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 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.169 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 2.169 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 2.169 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 2.169 * [taylor]: Taking taylor expansion of 1/3 in N 2.169 * [backup-simplify]: Simplify 1/3 into 1/3 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 (/ 1/3 1) into 1/3 2.170 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 2.170 * [taylor]: Taking taylor expansion of 1/3 in N 2.170 * [backup-simplify]: Simplify 1/3 into 1/3 2.170 * [taylor]: Taking taylor expansion of N in N 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.170 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.170 * [backup-simplify]: Simplify 1/3 into 1/3 2.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 2.177 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 2.177 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 2.177 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.177 * [taylor]: Taking taylor expansion of 1/3 in N 2.177 * [backup-simplify]: Simplify 1/3 into 1/3 2.177 * [taylor]: Taking taylor expansion of N in N 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.177 * [taylor]: Taking taylor expansion of 1/3 in N 2.177 * [backup-simplify]: Simplify 1/3 into 1/3 2.177 * [taylor]: Taking taylor expansion of N in N 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.178 * [backup-simplify]: Simplify 1/3 into 1/3 2.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.182 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.183 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 2.187 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 2.187 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 2.187 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 2.187 * [taylor]: Taking taylor expansion of -1/3 in N 2.187 * [backup-simplify]: Simplify -1/3 into -1/3 2.187 * [taylor]: Taking taylor expansion of N in N 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 2.187 * [taylor]: Taking taylor expansion of -1/3 in N 2.187 * [backup-simplify]: Simplify -1/3 into -1/3 2.187 * [taylor]: Taking taylor expansion of N in N 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (* -1/3 0) into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 2.189 * [backup-simplify]: Simplify -1/3 into -1/3 2.190 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.191 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 2.197 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.197 * [backup-simplify]: Simplify (/ -1/2 (* N N)) into (/ -1/2 (pow N 2)) 2.197 * [approximate]: Taking taylor expansion of (/ -1/2 (pow N 2)) in (N) around 0 2.197 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 2.197 * [taylor]: Taking taylor expansion of -1/2 in N 2.197 * [backup-simplify]: Simplify -1/2 into -1/2 2.197 * [taylor]: Taking taylor expansion of (pow N 2) in N 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 (/ -1/2 1) into -1/2 2.198 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 2.198 * [taylor]: Taking taylor expansion of -1/2 in N 2.198 * [backup-simplify]: Simplify -1/2 into -1/2 2.198 * [taylor]: Taking taylor expansion of (pow N 2) in N 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 2.199 * [backup-simplify]: Simplify (* 1 1) into 1 2.199 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.199 * [backup-simplify]: Simplify -1/2 into -1/2 2.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.201 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 2.215 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 N) (/ 1 N))) into (* -1/2 (pow N 2)) 2.215 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 2.215 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.215 * [taylor]: Taking taylor expansion of -1/2 in N 2.215 * [backup-simplify]: Simplify -1/2 into -1/2 2.215 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.215 * [taylor]: Taking taylor expansion of N in N 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.215 * [taylor]: Taking taylor expansion of -1/2 in N 2.215 * [backup-simplify]: Simplify -1/2 into -1/2 2.215 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.215 * [taylor]: Taking taylor expansion of N in N 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify (* 1 1) into 1 2.217 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 2.217 * [backup-simplify]: Simplify -1/2 into -1/2 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.218 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.220 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.225 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.225 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.227 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.231 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 2.231 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/2 (pow N 2)) 2.231 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 2.231 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.231 * [taylor]: Taking taylor expansion of -1/2 in N 2.231 * [backup-simplify]: Simplify -1/2 into -1/2 2.231 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.231 * [taylor]: Taking taylor expansion of -1/2 in N 2.231 * [backup-simplify]: Simplify -1/2 into -1/2 2.231 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (* 1 1) into 1 2.232 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 2.232 * [backup-simplify]: Simplify -1/2 into -1/2 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.234 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.236 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.241 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.244 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.247 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 (- N)) 2)) into (/ -1/2 (pow N 2)) 2.248 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.248 * [backup-simplify]: Simplify (/ (/ 1/3 N) (* N N)) into (/ 1/3 (pow N 3)) 2.248 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 2.248 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 2.248 * [taylor]: Taking taylor expansion of 1/3 in N 2.248 * [backup-simplify]: Simplify 1/3 into 1/3 2.248 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.248 * [taylor]: Taking taylor expansion of N in N 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (* 1 1) into 1 2.249 * [backup-simplify]: Simplify (* 1 1) into 1 2.249 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.249 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 2.249 * [taylor]: Taking taylor expansion of 1/3 in N 2.249 * [backup-simplify]: Simplify 1/3 into 1/3 2.249 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.249 * [taylor]: Taking taylor expansion of N in N 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (* 1 1) into 1 2.250 * [backup-simplify]: Simplify (* 1 1) into 1 2.251 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.251 * [backup-simplify]: Simplify 1/3 into 1/3 2.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.253 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.256 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.260 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 2.272 * [backup-simplify]: Simplify (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 3)) 2.272 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 2.272 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.272 * [taylor]: Taking taylor expansion of 1/3 in N 2.272 * [backup-simplify]: Simplify 1/3 into 1/3 2.272 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.272 * [taylor]: Taking taylor expansion of 1/3 in N 2.272 * [backup-simplify]: Simplify 1/3 into 1/3 2.272 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (* 1 1) into 1 2.273 * [backup-simplify]: Simplify (* 1 1) into 1 2.274 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.274 * [backup-simplify]: Simplify 1/3 into 1/3 2.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.276 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.276 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.286 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.290 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.295 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 2.296 * [backup-simplify]: Simplify (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/3 (pow N 3)) 2.296 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 2.296 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 2.296 * [taylor]: Taking taylor expansion of -1/3 in N 2.296 * [backup-simplify]: Simplify -1/3 into -1/3 2.296 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 2.296 * [taylor]: Taking taylor expansion of -1/3 in N 2.296 * [backup-simplify]: Simplify -1/3 into -1/3 2.296 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (* 1 1) into 1 2.297 * [backup-simplify]: Simplify (* 1 1) into 1 2.298 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 2.298 * [backup-simplify]: Simplify -1/3 into -1/3 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.300 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.303 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.303 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.310 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.310 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.314 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.319 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 2.320 * * * [progress]: simplifying candidates 2.320 * * * * [progress]: [ 1 / 144 ] simplifiying candidate # 2.320 * * * * [progress]: [ 2 / 144 ] simplifiying candidate # 2.320 * * * * [progress]: [ 3 / 144 ] simplifiying candidate # 2.320 * * * * [progress]: [ 4 / 144 ] simplifiying candidate # 2.320 * * * * [progress]: [ 5 / 144 ] simplifiying candidate # 2.320 * * * * [progress]: [ 6 / 144 ] simplifiying candidate # 2.320 * * * * [progress]: [ 7 / 144 ] simplifiying candidate # 2.320 * * * * [progress]: [ 8 / 144 ] simplifiying candidate # 2.320 * * * * [progress]: [ 9 / 144 ] simplifiying candidate # 2.320 * * * * [progress]: [ 10 / 144 ] simplifiying candidate # 2.320 * * * * [progress]: [ 11 / 144 ] simplifiying candidate # 2.320 * * * * [progress]: [ 12 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 13 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 14 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 15 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 16 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 17 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 18 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 19 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 20 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 21 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 22 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 23 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 24 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 25 / 144 ] simplifiying candidate # 2.321 * * * * [progress]: [ 26 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 27 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 28 / 144 ] simplifiying candidate #real (real->posit16 (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))))> 2.322 * * * * [progress]: [ 29 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 30 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 31 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 32 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 33 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 34 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 35 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 36 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 37 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 38 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 39 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 40 / 144 ] simplifiying candidate # 2.322 * * * * [progress]: [ 41 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 42 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 43 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 44 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 45 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 46 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 47 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 48 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 49 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 50 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 51 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 52 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 53 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 54 / 144 ] simplifiying candidate # 2.323 * * * * [progress]: [ 55 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 56 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 57 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 58 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 59 / 144 ] simplifiying candidate #real (real->posit16 (/ 1/3 N))) (* N N)))))> 2.324 * * * * [progress]: [ 60 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 61 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 62 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 63 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 64 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 65 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 66 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 67 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 68 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 69 / 144 ] simplifiying candidate # 2.324 * * * * [progress]: [ 70 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 71 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 72 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 73 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 74 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 75 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 76 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 77 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 78 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 79 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 80 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 81 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 82 / 144 ] simplifiying candidate # 2.325 * * * * [progress]: [ 83 / 144 ] simplifiying candidate #real (real->posit16 (/ -1/2 (* N N)))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))> 2.325 * * * * [progress]: [ 84 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 85 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 86 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 87 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 88 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 89 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 90 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 91 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 92 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 93 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 94 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 95 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 96 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 97 / 144 ] simplifiying candidate # 2.326 * * * * [progress]: [ 98 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 99 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 100 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 101 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 102 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 103 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 104 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 105 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 106 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 107 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 108 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 109 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 110 / 144 ] simplifiying candidate # 2.327 * * * * [progress]: [ 111 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 112 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 113 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 114 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 115 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 116 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 117 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 118 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 119 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 120 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 121 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 122 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 123 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 124 / 144 ] simplifiying candidate # 2.328 * * * * [progress]: [ 125 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 126 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 127 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 128 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 129 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 130 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 131 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 132 / 144 ] simplifiying candidate #real (real->posit16 (/ (/ 1/3 N) (* N N)))))))> 2.329 * * * * [progress]: [ 133 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 134 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 135 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 136 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 137 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 138 / 144 ] simplifiying candidate # 2.329 * * * * [progress]: [ 139 / 144 ] simplifiying candidate # 2.330 * * * * [progress]: [ 140 / 144 ] simplifiying candidate # 2.330 * * * * [progress]: [ 141 / 144 ] simplifiying candidate # 2.330 * * * * [progress]: [ 142 / 144 ] simplifiying candidate # 2.330 * * * * [progress]: [ 143 / 144 ] simplifiying candidate # 2.330 * * * * [progress]: [ 144 / 144 ] simplifiying candidate # 2.333 * [simplify]: Simplifying: (expm1 (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (log1p (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (* (exp (/ -1/2 (* N N))) (* (exp (/ 1 N)) (exp (/ (/ 1/3 N) (* N N))))) (* (exp (/ -1/2 (* N N))) (exp (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (log (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (exp (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (* (* (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (+ (* -1/2 (* N (* N N))) (* (* N N) (+ (* 1 (* N N)) (* N (/ 1/3 N))))) (* (* N N) (* N (* N N))) (+ (* -1/2 (+ (* (/ 1 N) (/ 1 N)) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (* (* N N) (+ (pow (/ 1 N) 3) (pow (/ (/ 1/3 N) (* N N)) 3)))) (* (* N N) (+ (* (/ 1 N) (/ 1 N)) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (+ (* -1/2 (- (/ 1 N) (/ (/ 1/3 N) (* N N)))) (* (* N N) (- (* (/ 1 N) (/ 1 N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))))) (* (* N N) (- (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (pow (/ -1/2 (* N N)) 3) (pow (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) 3)) (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (* (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (- (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (/ 1 N)) (real->posit16 (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (- (log 1/3) (log N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (expm1 (/ -1/2 (* N N))) (log1p (/ -1/2 (* N N))) (- (log -1/2) (+ (log N) (log N))) (- (log -1/2) (log (* N N))) (log (/ -1/2 (* N N))) (exp (/ -1/2 (* N N))) (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) N) (* (* N N) N))) (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))) (cbrt (/ -1/2 (* N N))) (* (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N))) (sqrt (/ -1/2 (* N N))) (sqrt (/ -1/2 (* N N))) (- -1/2) (- (* N N)) (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N) (/ (sqrt -1/2) N) (/ (sqrt -1/2) N) (/ 1 N) (/ -1/2 N) (/ 1 (* N N)) (/ (* N N) -1/2) (/ -1/2 N) (/ (* N N) (cbrt -1/2)) (/ (* N N) (sqrt -1/2)) (/ (* N N) -1/2) (real->posit16 (/ -1/2 (* N N))) (expm1 (/ (/ 1/3 N) (* N N))) (log1p (/ (/ 1/3 N) (* N N))) (- (- (log 1/3) (log N)) (+ (log N) (log N))) (- (- (log 1/3) (log N)) (log (* N N))) (- (log (/ 1/3 N)) (+ (log N) (log N))) (- (log (/ 1/3 N)) (log (* N N))) (log (/ (/ 1/3 N) (* N N))) (exp (/ (/ 1/3 N) (* N N))) (/ (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 1/3 N) (* N N))) (cbrt (/ (/ 1/3 N) (* N N)))) (cbrt (/ (/ 1/3 N) (* N N))) (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) (- (/ 1/3 N)) (- (* N N)) (/ (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) N) (/ (cbrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 1/3) (cbrt N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) N) (/ (/ (cbrt 1/3) (sqrt N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) 1) N) (/ (/ (cbrt 1/3) N) N) (/ (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 1/3) (cbrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) 1) N) (/ (/ (sqrt 1/3) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 1/3 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 1/3 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 1/3 N) N) (/ 1 N) (/ (/ 1/3 N) N) (/ 1/3 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 1/3 N)) (/ (/ 1/3 N) N) (/ (* N N) (cbrt (/ 1/3 N))) (/ (* N N) (sqrt (/ 1/3 N))) (/ (* N N) (/ (cbrt 1/3) (cbrt N))) (/ (* N N) (/ (cbrt 1/3) (sqrt N))) (/ (* N N) (/ (cbrt 1/3) N)) (/ (* N N) (/ (sqrt 1/3) (cbrt N))) (/ (* N N) (/ (sqrt 1/3) (sqrt N))) (/ (* N N) (/ (sqrt 1/3) N)) (/ (* N N) (/ 1/3 (cbrt N))) (/ (* N N) (/ 1/3 (sqrt N))) (/ (* N N) (/ 1/3 N)) (/ (* N N) (/ 1/3 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (real->posit16 (/ (/ 1/3 N) (* N N))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (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)))) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ -1/2 (pow N 2)) (/ -1/2 (pow N 2)) (/ -1/2 (pow N 2)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) 2.336 * * [simplify]: iteration 1: (209 enodes) 2.421 * * [simplify]: iteration 2: (576 enodes) 3.228 * * [simplify]: Extracting #0: cost 118 inf + 0 3.229 * * [simplify]: Extracting #1: cost 442 inf + 4 3.234 * * [simplify]: Extracting #2: cost 628 inf + 25813 3.253 * * [simplify]: Extracting #3: cost 287 inf + 109323 3.288 * * [simplify]: Extracting #4: cost 22 inf + 180900 3.324 * * [simplify]: Extracting #5: cost 0 inf + 187766 3.360 * [simplify]: Simplified to: (expm1 (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (log1p (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (exp (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (exp (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (log (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (exp (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (* (cbrt (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (cbrt (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (* (* (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (sqrt (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (sqrt (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (fma (* N N) (fma N (/ 1/3 N) (* N N)) (* (* (* N N) N) -1/2)) (* N (* (* N N) (* N N))) (fma -1/2 (fma (/ (/ 1/3 N) (* N N)) (- (/ (/ 1/3 N) (* N N)) (/ 1 N)) (/ 1 (* N N))) (* (fma (/ (/ 1/3 N) (* N N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1 (* N N)) N)) (* N N))) (* (fma (/ (/ 1/3 N) (* N N)) (- (/ (/ 1/3 N) (* N N)) (/ 1 N)) (/ 1 (* N N))) (* N N)) (fma -1/2 (- (/ 1 N) (/ (/ 1/3 N) (* N N))) (* (- (/ 1 (* N N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))) (* N N))) (* (- (/ 1 N) (/ (/ 1/3 N) (* N N))) (* N N)) (fma (* (/ (/ -1/2 N) N) (/ (/ -1/2 N) N)) (/ (/ -1/2 N) N) (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (fma (/ (/ -1/2 N) N) (/ (/ -1/2 N) N) (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (- (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (/ (/ -1/2 N) N)))) (- (* (/ (/ -1/2 N) N) (/ (/ -1/2 N) N)) (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (- (- (/ (/ -1/2 N) N) (/ (/ 1/3 N) (* N N))) (/ 1 N)) (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (/ (/ -1/2 N) N) (/ 1 N)) (real->posit16 (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ 1/27 (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (/ 1/27 (* (* N N) N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ (/ 1/3 (cbrt N)) (cbrt N)) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (expm1 (/ (/ -1/2 N) N)) (log1p (/ (/ -1/2 N) N)) (log (/ (/ -1/2 N) N)) (log (/ (/ -1/2 N) N)) (log (/ (/ -1/2 N) N)) (exp (/ (/ -1/2 N) N)) (* (/ (/ -1/2 N) N) (* (/ (/ -1/2 N) N) (/ (/ -1/2 N) N))) (* (/ (/ -1/2 N) N) (* (/ (/ -1/2 N) N) (/ (/ -1/2 N) N))) (* (cbrt (/ (/ -1/2 N) N)) (cbrt (/ (/ -1/2 N) N))) (cbrt (/ (/ -1/2 N) N)) (* (/ (/ -1/2 N) N) (* (/ (/ -1/2 N) N) (/ (/ -1/2 N) N))) (sqrt (/ (/ -1/2 N) N)) (sqrt (/ (/ -1/2 N) N)) 1/2 (- (* N N)) (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N) (/ (sqrt -1/2) N) (/ (sqrt -1/2) N) (/ 1 N) (/ -1/2 N) (/ 1 (* N N)) (/ N (/ -1/2 N)) (/ -1/2 N) (/ (* N N) (cbrt -1/2)) (/ (* N N) (sqrt -1/2)) (/ N (/ -1/2 N)) (real->posit16 (/ (/ -1/2 N) N)) (expm1 (/ (/ 1/3 N) (* N N))) (log1p (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (exp (/ (/ 1/3 N) (* N N))) (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (* (cbrt (/ (/ 1/3 N) (* N N))) (cbrt (/ (/ 1/3 N) (* N N)))) (cbrt (/ (/ 1/3 N) (* N N))) (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) (/ -1/3 N) (- (* N N)) (/ (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) N) (/ (cbrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) N) (/ (/ (cbrt 1/3) (cbrt N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) N) (sqrt N)) (/ (/ (cbrt 1/3) N) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (/ (cbrt 1/3) N) N) (/ (/ (sqrt 1/3) N) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1/3) N) (cbrt N)) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (sqrt 1/3) N) (/ (/ (sqrt 1/3) N) N) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1/3 N) (cbrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1/3 N) (sqrt N)) (/ 1 N) (/ 1/3 (* N N)) (/ 1 N) (/ 1/3 (* N N)) (/ 1/3 N) (/ 1 (* N N)) (/ 1 (* N N)) (/ (* N N) (/ 1/3 N)) (/ 1/3 (* N N)) (/ N (/ (cbrt (/ 1/3 N)) N)) (/ N (/ (sqrt (/ 1/3 N)) N)) (/ N (/ (/ (cbrt 1/3) (cbrt N)) N)) (* (/ N (/ (cbrt 1/3) N)) (sqrt N)) (/ (* (* N N) N) (cbrt 1/3)) (/ (* N N) (/ (sqrt 1/3) (cbrt N))) (/ (* N N) (/ (sqrt 1/3) (sqrt N))) (/ (* (* N N) N) (sqrt 1/3)) (/ (* N N) (/ 1/3 (cbrt N))) (/ (* (* N N) (sqrt N)) 1/3) (/ (* N N) (/ 1/3 N)) (/ (* N N) (/ 1/3 N)) (* (* N N) N) (* (* N N) N) (real->posit16 (/ (/ 1/3 N) (* N N))) (- (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N))) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ (/ -1/2 N) N) (/ (/ -1/2 N) N) (/ (/ -1/2 N) N) (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)) 3.370 * * * [progress]: adding candidates to table 4.521 * * [progress]: iteration 3 / 4 4.521 * * * [progress]: picking best candidate 4.530 * * * * [pick]: Picked # 4.530 * * * [progress]: localizing error 4.561 * * * [progress]: generating rewritten candidates 4.561 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.638 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.700 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.753 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.811 * * * [progress]: generating series expansions 4.811 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.812 * [backup-simplify]: Simplify (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) into (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) 4.812 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 4.812 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 4.812 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 4.812 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 4.812 * [taylor]: Taking taylor expansion of 1/3 in N 4.812 * [backup-simplify]: Simplify 1/3 into 1/3 4.812 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 4.812 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 4.812 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 4.812 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.812 * [taylor]: Taking taylor expansion of N in N 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.812 * [backup-simplify]: Simplify (/ 1 1) into 1 4.812 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 4.813 * [taylor]: Taking taylor expansion of 1/3 in N 4.813 * [backup-simplify]: Simplify 1/3 into 1/3 4.813 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.813 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.813 * [taylor]: Taking taylor expansion of N in N 4.813 * [backup-simplify]: Simplify 0 into 0 4.813 * [backup-simplify]: Simplify 1 into 1 4.813 * [backup-simplify]: Simplify (* 1 1) into 1 4.813 * [backup-simplify]: Simplify (* 1 1) into 1 4.813 * [backup-simplify]: Simplify (/ 1 1) into 1 4.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 4.813 * [taylor]: Taking taylor expansion of 1/2 in N 4.814 * [backup-simplify]: Simplify 1/2 into 1/2 4.814 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.814 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.814 * [taylor]: Taking taylor expansion of N in N 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify 1 into 1 4.814 * [backup-simplify]: Simplify (* 1 1) into 1 4.814 * [backup-simplify]: Simplify (/ 1 1) into 1 4.814 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.815 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.815 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.815 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 4.816 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 4.816 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 4.817 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 4.817 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 4.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 4.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 4.817 * [taylor]: Taking taylor expansion of 1/3 in N 4.817 * [backup-simplify]: Simplify 1/3 into 1/3 4.817 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 4.817 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 4.817 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 4.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.817 * [taylor]: Taking taylor expansion of N in N 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 1 into 1 4.817 * [backup-simplify]: Simplify (/ 1 1) into 1 4.817 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 4.817 * [taylor]: Taking taylor expansion of 1/3 in N 4.817 * [backup-simplify]: Simplify 1/3 into 1/3 4.817 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.817 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.817 * [taylor]: Taking taylor expansion of N in N 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 1 into 1 4.817 * [backup-simplify]: Simplify (* 1 1) into 1 4.818 * [backup-simplify]: Simplify (* 1 1) into 1 4.818 * [backup-simplify]: Simplify (/ 1 1) into 1 4.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 4.818 * [taylor]: Taking taylor expansion of 1/2 in N 4.818 * [backup-simplify]: Simplify 1/2 into 1/2 4.818 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.818 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.818 * [taylor]: Taking taylor expansion of N in N 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 1 into 1 4.819 * [backup-simplify]: Simplify (* 1 1) into 1 4.819 * [backup-simplify]: Simplify (/ 1 1) into 1 4.819 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.820 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.820 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.820 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 4.821 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 4.822 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 4.822 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 4.823 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.826 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.826 * [backup-simplify]: Simplify (+ 0 0) into 0 4.827 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.827 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.828 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 4.830 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 4.831 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 4.832 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 4.833 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 4.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.836 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.837 * [backup-simplify]: Simplify (+ 1 0) into 1 4.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.839 * [backup-simplify]: Simplify (- 0) into 0 4.840 * [backup-simplify]: Simplify (+ 1 0) into 1 4.843 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 4.844 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 4.845 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 4.846 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 4.847 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 4.848 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 4.848 * [backup-simplify]: Simplify (cbrt (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (+ (/ 1 (/ 1 N)) (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 4.848 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 4.848 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 4.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 4.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 4.848 * [taylor]: Taking taylor expansion of 1/3 in N 4.848 * [backup-simplify]: Simplify 1/3 into 1/3 4.848 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 4.848 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 4.848 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 4.848 * [taylor]: Taking taylor expansion of N in N 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.848 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.848 * [taylor]: Taking taylor expansion of 1/3 in N 4.848 * [backup-simplify]: Simplify 1/3 into 1/3 4.848 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.848 * [taylor]: Taking taylor expansion of N in N 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.848 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.848 * [taylor]: Taking taylor expansion of 1/2 in N 4.848 * [backup-simplify]: Simplify 1/2 into 1/2 4.848 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.849 * [taylor]: Taking taylor expansion of N in N 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.851 * [backup-simplify]: Simplify (+ 0 0) into 0 4.852 * [backup-simplify]: Simplify (+ 0 0) into 0 4.852 * [backup-simplify]: Simplify (+ 1 0) into 1 4.852 * [backup-simplify]: Simplify (+ 1 0) into 1 4.852 * [backup-simplify]: Simplify (log 1) into 0 4.853 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.853 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.853 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.853 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 4.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 4.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 4.853 * [taylor]: Taking taylor expansion of 1/3 in N 4.853 * [backup-simplify]: Simplify 1/3 into 1/3 4.853 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 4.853 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 4.853 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 4.853 * [taylor]: Taking taylor expansion of N in N 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 1 into 1 4.853 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.853 * [taylor]: Taking taylor expansion of 1/3 in N 4.853 * [backup-simplify]: Simplify 1/3 into 1/3 4.853 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.853 * [taylor]: Taking taylor expansion of N in N 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 1 into 1 4.853 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.853 * [taylor]: Taking taylor expansion of 1/2 in N 4.853 * [backup-simplify]: Simplify 1/2 into 1/2 4.853 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.853 * [taylor]: Taking taylor expansion of N in N 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 1 into 1 4.853 * [backup-simplify]: Simplify (+ 0 0) into 0 4.854 * [backup-simplify]: Simplify (+ 0 0) into 0 4.854 * [backup-simplify]: Simplify (+ 1 0) into 1 4.854 * [backup-simplify]: Simplify (+ 1 0) into 1 4.854 * [backup-simplify]: Simplify (log 1) into 0 4.855 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.855 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.855 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.855 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.855 * [backup-simplify]: Simplify (+ 0 0) into 0 4.855 * [backup-simplify]: Simplify (* 1 1) into 1 4.856 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.856 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.856 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 4.857 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.858 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 4.858 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 4.858 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 4.858 * [backup-simplify]: Simplify (* 1 1) into 1 4.859 * [backup-simplify]: Simplify (* 1 1) into 1 4.859 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.859 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.860 * [backup-simplify]: Simplify (- 0) into 0 4.861 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.862 * [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 4.863 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.863 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 4.864 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 4.864 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 4.864 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 4.865 * [backup-simplify]: Simplify (cbrt (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (+ (/ 1 (/ 1 (- N))) (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) 4.865 * [approximate]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in (N) around 0 4.865 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 4.865 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 4.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 4.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 4.865 * [taylor]: Taking taylor expansion of 1/3 in N 4.865 * [backup-simplify]: Simplify 1/3 into 1/3 4.865 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 4.865 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 4.865 * [taylor]: Taking taylor expansion of N in N 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 1 into 1 4.865 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 4.865 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.865 * [taylor]: Taking taylor expansion of 1/2 in N 4.865 * [backup-simplify]: Simplify 1/2 into 1/2 4.865 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.865 * [taylor]: Taking taylor expansion of N in N 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 1 into 1 4.865 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.865 * [taylor]: Taking taylor expansion of 1/3 in N 4.865 * [backup-simplify]: Simplify 1/3 into 1/3 4.865 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.865 * [taylor]: Taking taylor expansion of N in N 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 1 into 1 4.866 * [backup-simplify]: Simplify (+ 0 0) into 0 4.866 * [backup-simplify]: Simplify (+ 1 0) into 1 4.866 * [backup-simplify]: Simplify (log 1) into 0 4.866 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.866 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.866 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.867 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.867 * [taylor]: Taking taylor expansion of -1 in N 4.867 * [backup-simplify]: Simplify -1 into -1 4.867 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.867 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.868 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 4.868 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 4.868 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 4.868 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 4.868 * [taylor]: Taking taylor expansion of 1/3 in N 4.868 * [backup-simplify]: Simplify 1/3 into 1/3 4.868 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 4.868 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 4.868 * [taylor]: Taking taylor expansion of N in N 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 4.868 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.868 * [taylor]: Taking taylor expansion of 1/2 in N 4.868 * [backup-simplify]: Simplify 1/2 into 1/2 4.868 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.868 * [taylor]: Taking taylor expansion of N in N 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.868 * [taylor]: Taking taylor expansion of 1/3 in N 4.868 * [backup-simplify]: Simplify 1/3 into 1/3 4.868 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.868 * [taylor]: Taking taylor expansion of N in N 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [backup-simplify]: Simplify (+ 0 0) into 0 4.868 * [backup-simplify]: Simplify (+ 1 0) into 1 4.869 * [backup-simplify]: Simplify (log 1) into 0 4.869 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.869 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.869 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.869 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.869 * [taylor]: Taking taylor expansion of -1 in N 4.869 * [backup-simplify]: Simplify -1 into -1 4.870 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.870 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.870 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 4.871 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 4.871 * [backup-simplify]: Simplify (* 1 1) into 1 4.871 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.872 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.872 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 4.873 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.873 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 4.874 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 4.874 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* (* 1/6 (pow N 1/3)) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 4.875 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 4.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.877 * [backup-simplify]: Simplify (* 1 1) into 1 4.877 * [backup-simplify]: Simplify (* 1 1) into 1 4.877 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.878 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.878 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.880 * [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 4.880 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.880 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 4.881 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 4.882 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* (* 1/6 (pow N 1/3)) 0) (* (* 1/12 (pow N 1/3)) (cbrt -1)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 4.882 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 4.884 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 4.884 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.884 * [backup-simplify]: Simplify (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) into (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) 4.884 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 4.884 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 4.884 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 4.884 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 4.884 * [taylor]: Taking taylor expansion of 1/3 in N 4.884 * [backup-simplify]: Simplify 1/3 into 1/3 4.884 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 4.884 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 4.884 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 4.884 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.884 * [taylor]: Taking taylor expansion of N in N 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify 1 into 1 4.885 * [backup-simplify]: Simplify (/ 1 1) into 1 4.885 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 4.885 * [taylor]: Taking taylor expansion of 1/3 in N 4.885 * [backup-simplify]: Simplify 1/3 into 1/3 4.885 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.885 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.885 * [taylor]: Taking taylor expansion of N in N 4.885 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify 1 into 1 4.885 * [backup-simplify]: Simplify (* 1 1) into 1 4.885 * [backup-simplify]: Simplify (* 1 1) into 1 4.885 * [backup-simplify]: Simplify (/ 1 1) into 1 4.885 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 4.885 * [taylor]: Taking taylor expansion of 1/2 in N 4.885 * [backup-simplify]: Simplify 1/2 into 1/2 4.885 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.885 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.886 * [taylor]: Taking taylor expansion of N in N 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.886 * [backup-simplify]: Simplify (* 1 1) into 1 4.886 * [backup-simplify]: Simplify (/ 1 1) into 1 4.886 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.887 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.887 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.887 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 4.888 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 4.888 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 4.888 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 4.888 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 4.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 4.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 4.888 * [taylor]: Taking taylor expansion of 1/3 in N 4.888 * [backup-simplify]: Simplify 1/3 into 1/3 4.888 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 4.888 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 4.888 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 4.888 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.888 * [taylor]: Taking taylor expansion of N in N 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 1 into 1 4.889 * [backup-simplify]: Simplify (/ 1 1) into 1 4.889 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 4.889 * [taylor]: Taking taylor expansion of 1/3 in N 4.889 * [backup-simplify]: Simplify 1/3 into 1/3 4.889 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.889 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.889 * [taylor]: Taking taylor expansion of N in N 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 1 into 1 4.889 * [backup-simplify]: Simplify (* 1 1) into 1 4.889 * [backup-simplify]: Simplify (* 1 1) into 1 4.890 * [backup-simplify]: Simplify (/ 1 1) into 1 4.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 4.890 * [taylor]: Taking taylor expansion of 1/2 in N 4.890 * [backup-simplify]: Simplify 1/2 into 1/2 4.890 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.890 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.890 * [taylor]: Taking taylor expansion of N in N 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 1 into 1 4.890 * [backup-simplify]: Simplify (* 1 1) into 1 4.890 * [backup-simplify]: Simplify (/ 1 1) into 1 4.891 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.891 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.892 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.892 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 4.893 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 4.893 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 4.894 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 4.894 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 4.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.897 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.898 * [backup-simplify]: Simplify (+ 0 0) into 0 4.898 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.899 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.899 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 4.901 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 4.902 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 4.904 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 4.904 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 4.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.908 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.908 * [backup-simplify]: Simplify (+ 1 0) into 1 4.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.911 * [backup-simplify]: Simplify (- 0) into 0 4.911 * [backup-simplify]: Simplify (+ 1 0) into 1 4.914 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 4.915 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 4.916 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 4.918 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 4.919 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 4.921 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 4.921 * [backup-simplify]: Simplify (cbrt (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (+ (/ 1 (/ 1 N)) (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 4.921 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 4.921 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 4.921 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 4.921 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 4.921 * [taylor]: Taking taylor expansion of 1/3 in N 4.921 * [backup-simplify]: Simplify 1/3 into 1/3 4.921 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 4.921 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 4.921 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 4.922 * [taylor]: Taking taylor expansion of N in N 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.922 * [taylor]: Taking taylor expansion of 1/3 in N 4.922 * [backup-simplify]: Simplify 1/3 into 1/3 4.922 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.922 * [taylor]: Taking taylor expansion of N in N 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.922 * [taylor]: Taking taylor expansion of 1/2 in N 4.922 * [backup-simplify]: Simplify 1/2 into 1/2 4.922 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.922 * [taylor]: Taking taylor expansion of N in N 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (+ 0 0) into 0 4.923 * [backup-simplify]: Simplify (+ 0 0) into 0 4.923 * [backup-simplify]: Simplify (+ 1 0) into 1 4.924 * [backup-simplify]: Simplify (+ 1 0) into 1 4.924 * [backup-simplify]: Simplify (log 1) into 0 4.924 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.925 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.925 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.925 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 4.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 4.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 4.925 * [taylor]: Taking taylor expansion of 1/3 in N 4.925 * [backup-simplify]: Simplify 1/3 into 1/3 4.925 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 4.925 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 4.925 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 4.925 * [taylor]: Taking taylor expansion of N in N 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 1 into 1 4.925 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.925 * [taylor]: Taking taylor expansion of 1/3 in N 4.925 * [backup-simplify]: Simplify 1/3 into 1/3 4.925 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.925 * [taylor]: Taking taylor expansion of N in N 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 1 into 1 4.925 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.925 * [taylor]: Taking taylor expansion of 1/2 in N 4.925 * [backup-simplify]: Simplify 1/2 into 1/2 4.925 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.925 * [taylor]: Taking taylor expansion of N in N 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 1 into 1 4.926 * [backup-simplify]: Simplify (+ 0 0) into 0 4.926 * [backup-simplify]: Simplify (+ 0 0) into 0 4.927 * [backup-simplify]: Simplify (+ 1 0) into 1 4.927 * [backup-simplify]: Simplify (+ 1 0) into 1 4.927 * [backup-simplify]: Simplify (log 1) into 0 4.928 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.928 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.928 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.928 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.928 * [backup-simplify]: Simplify (+ 0 0) into 0 4.929 * [backup-simplify]: Simplify (* 1 1) into 1 4.929 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.930 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.930 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 4.932 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.932 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 4.933 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 4.934 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 4.934 * [backup-simplify]: Simplify (* 1 1) into 1 4.934 * [backup-simplify]: Simplify (* 1 1) into 1 4.935 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.935 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.937 * [backup-simplify]: Simplify (- 0) into 0 4.938 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.941 * [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 4.942 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.943 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 4.944 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 4.944 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 4.945 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 4.946 * [backup-simplify]: Simplify (cbrt (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (+ (/ 1 (/ 1 (- N))) (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) 4.946 * [approximate]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in (N) around 0 4.946 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 4.946 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 4.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 4.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 4.946 * [taylor]: Taking taylor expansion of 1/3 in N 4.946 * [backup-simplify]: Simplify 1/3 into 1/3 4.946 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 4.946 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 4.946 * [taylor]: Taking taylor expansion of N in N 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 4.946 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.946 * [taylor]: Taking taylor expansion of 1/2 in N 4.946 * [backup-simplify]: Simplify 1/2 into 1/2 4.946 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.946 * [taylor]: Taking taylor expansion of N in N 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.946 * [taylor]: Taking taylor expansion of 1/3 in N 4.946 * [backup-simplify]: Simplify 1/3 into 1/3 4.946 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.946 * [taylor]: Taking taylor expansion of N in N 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.947 * [backup-simplify]: Simplify (+ 0 0) into 0 4.947 * [backup-simplify]: Simplify (+ 1 0) into 1 4.948 * [backup-simplify]: Simplify (log 1) into 0 4.948 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.948 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.948 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.948 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.948 * [taylor]: Taking taylor expansion of -1 in N 4.948 * [backup-simplify]: Simplify -1 into -1 4.949 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.949 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.950 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 4.950 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 4.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 4.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 4.950 * [taylor]: Taking taylor expansion of 1/3 in N 4.950 * [backup-simplify]: Simplify 1/3 into 1/3 4.950 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 4.950 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 4.950 * [taylor]: Taking taylor expansion of N in N 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 4.950 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.950 * [taylor]: Taking taylor expansion of 1/2 in N 4.950 * [backup-simplify]: Simplify 1/2 into 1/2 4.950 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.950 * [taylor]: Taking taylor expansion of N in N 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.950 * [taylor]: Taking taylor expansion of 1/3 in N 4.950 * [backup-simplify]: Simplify 1/3 into 1/3 4.950 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.950 * [taylor]: Taking taylor expansion of N in N 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.951 * [backup-simplify]: Simplify (+ 0 0) into 0 4.951 * [backup-simplify]: Simplify (+ 1 0) into 1 4.951 * [backup-simplify]: Simplify (log 1) into 0 4.952 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.952 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.952 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.952 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.952 * [taylor]: Taking taylor expansion of -1 in N 4.952 * [backup-simplify]: Simplify -1 into -1 4.953 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.953 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.954 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 4.954 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 4.955 * [backup-simplify]: Simplify (* 1 1) into 1 4.955 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.956 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.956 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 4.958 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.958 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 4.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 4.960 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* (* 1/6 (pow N 1/3)) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 4.961 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 4.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.964 * [backup-simplify]: Simplify (* 1 1) into 1 4.965 * [backup-simplify]: Simplify (* 1 1) into 1 4.965 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.966 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.966 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.969 * [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 4.970 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.971 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 4.978 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 4.979 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* (* 1/6 (pow N 1/3)) 0) (* (* 1/12 (pow N 1/3)) (cbrt -1)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 4.980 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 4.982 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 4.982 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.983 * [backup-simplify]: Simplify (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) into (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) 4.983 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 4.983 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 4.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 4.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 4.983 * [taylor]: Taking taylor expansion of 1/3 in N 4.983 * [backup-simplify]: Simplify 1/3 into 1/3 4.983 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 4.983 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 4.983 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 4.983 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.983 * [taylor]: Taking taylor expansion of N in N 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify 1 into 1 4.983 * [backup-simplify]: Simplify (/ 1 1) into 1 4.983 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 4.983 * [taylor]: Taking taylor expansion of 1/3 in N 4.984 * [backup-simplify]: Simplify 1/3 into 1/3 4.984 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.984 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.984 * [taylor]: Taking taylor expansion of N in N 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify 1 into 1 4.984 * [backup-simplify]: Simplify (* 1 1) into 1 4.984 * [backup-simplify]: Simplify (* 1 1) into 1 4.985 * [backup-simplify]: Simplify (/ 1 1) into 1 4.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 4.985 * [taylor]: Taking taylor expansion of 1/2 in N 4.985 * [backup-simplify]: Simplify 1/2 into 1/2 4.985 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.985 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.985 * [taylor]: Taking taylor expansion of N in N 4.985 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (* 1 1) into 1 4.986 * [backup-simplify]: Simplify (/ 1 1) into 1 4.986 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.986 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.987 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.987 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 4.987 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 4.988 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 4.988 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 4.988 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 4.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 4.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 4.988 * [taylor]: Taking taylor expansion of 1/3 in N 4.988 * [backup-simplify]: Simplify 1/3 into 1/3 4.988 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 4.988 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 4.988 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 4.988 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.988 * [taylor]: Taking taylor expansion of N in N 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify 1 into 1 4.988 * [backup-simplify]: Simplify (/ 1 1) into 1 4.988 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 4.988 * [taylor]: Taking taylor expansion of 1/3 in N 4.988 * [backup-simplify]: Simplify 1/3 into 1/3 4.988 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.989 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.989 * [taylor]: Taking taylor expansion of N in N 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 1 into 1 4.989 * [backup-simplify]: Simplify (* 1 1) into 1 4.989 * [backup-simplify]: Simplify (* 1 1) into 1 4.989 * [backup-simplify]: Simplify (/ 1 1) into 1 4.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 4.989 * [taylor]: Taking taylor expansion of 1/2 in N 4.989 * [backup-simplify]: Simplify 1/2 into 1/2 4.989 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.989 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.989 * [taylor]: Taking taylor expansion of N in N 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 1 into 1 4.990 * [backup-simplify]: Simplify (* 1 1) into 1 4.990 * [backup-simplify]: Simplify (/ 1 1) into 1 4.990 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.990 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.991 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.991 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 4.991 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 4.992 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 4.992 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 4.992 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 4.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.994 * [backup-simplify]: Simplify (+ 0 0) into 0 4.995 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.995 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.995 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 4.997 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 4.997 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 4.998 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 4.998 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 4.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.000 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.001 * [backup-simplify]: Simplify (+ 1 0) into 1 5.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.002 * [backup-simplify]: Simplify (- 0) into 0 5.003 * [backup-simplify]: Simplify (+ 1 0) into 1 5.004 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 5.005 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 5.006 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 5.007 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 5.007 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 5.008 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 5.008 * [backup-simplify]: Simplify (cbrt (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (+ (/ 1 (/ 1 N)) (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 5.009 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 5.009 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 5.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 5.009 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 5.009 * [taylor]: Taking taylor expansion of 1/3 in N 5.009 * [backup-simplify]: Simplify 1/3 into 1/3 5.009 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 5.009 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 5.009 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 5.009 * [taylor]: Taking taylor expansion of N in N 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.009 * [taylor]: Taking taylor expansion of 1/3 in N 5.009 * [backup-simplify]: Simplify 1/3 into 1/3 5.009 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.009 * [taylor]: Taking taylor expansion of N in N 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.009 * [taylor]: Taking taylor expansion of 1/2 in N 5.009 * [backup-simplify]: Simplify 1/2 into 1/2 5.009 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.009 * [taylor]: Taking taylor expansion of N in N 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.010 * [backup-simplify]: Simplify (+ 0 0) into 0 5.010 * [backup-simplify]: Simplify (+ 0 0) into 0 5.010 * [backup-simplify]: Simplify (+ 1 0) into 1 5.010 * [backup-simplify]: Simplify (+ 1 0) into 1 5.011 * [backup-simplify]: Simplify (log 1) into 0 5.011 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.011 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.011 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.011 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 5.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 5.011 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 5.011 * [taylor]: Taking taylor expansion of 1/3 in N 5.011 * [backup-simplify]: Simplify 1/3 into 1/3 5.011 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 5.011 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 5.011 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 5.011 * [taylor]: Taking taylor expansion of N in N 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 1 into 1 5.011 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.011 * [taylor]: Taking taylor expansion of 1/3 in N 5.011 * [backup-simplify]: Simplify 1/3 into 1/3 5.011 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.011 * [taylor]: Taking taylor expansion of N in N 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 1 into 1 5.011 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.011 * [taylor]: Taking taylor expansion of 1/2 in N 5.011 * [backup-simplify]: Simplify 1/2 into 1/2 5.011 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.012 * [taylor]: Taking taylor expansion of N in N 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (+ 0 0) into 0 5.012 * [backup-simplify]: Simplify (+ 0 0) into 0 5.012 * [backup-simplify]: Simplify (+ 1 0) into 1 5.013 * [backup-simplify]: Simplify (+ 1 0) into 1 5.013 * [backup-simplify]: Simplify (log 1) into 0 5.013 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.013 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.013 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.013 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.014 * [backup-simplify]: Simplify (+ 0 0) into 0 5.014 * [backup-simplify]: Simplify (* 1 1) into 1 5.014 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.014 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.015 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 5.016 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.016 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 5.017 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 5.017 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 5.017 * [backup-simplify]: Simplify (* 1 1) into 1 5.017 * [backup-simplify]: Simplify (* 1 1) into 1 5.017 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.018 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.019 * [backup-simplify]: Simplify (- 0) into 0 5.020 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.023 * [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 5.024 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.025 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 5.027 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 5.027 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 5.027 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 5.028 * [backup-simplify]: Simplify (cbrt (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (+ (/ 1 (/ 1 (- N))) (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) 5.028 * [approximate]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in (N) around 0 5.028 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 5.028 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 5.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 5.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 5.028 * [taylor]: Taking taylor expansion of 1/3 in N 5.028 * [backup-simplify]: Simplify 1/3 into 1/3 5.028 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 5.028 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 5.028 * [taylor]: Taking taylor expansion of N in N 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify 1 into 1 5.028 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 5.028 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.028 * [taylor]: Taking taylor expansion of 1/2 in N 5.028 * [backup-simplify]: Simplify 1/2 into 1/2 5.028 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.028 * [taylor]: Taking taylor expansion of N in N 5.028 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.029 * [taylor]: Taking taylor expansion of 1/3 in N 5.029 * [backup-simplify]: Simplify 1/3 into 1/3 5.029 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.029 * [taylor]: Taking taylor expansion of N in N 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [backup-simplify]: Simplify (+ 0 0) into 0 5.030 * [backup-simplify]: Simplify (+ 1 0) into 1 5.030 * [backup-simplify]: Simplify (log 1) into 0 5.030 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.031 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.031 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.031 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.031 * [taylor]: Taking taylor expansion of -1 in N 5.031 * [backup-simplify]: Simplify -1 into -1 5.031 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.032 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.032 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 5.032 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 5.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 5.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 5.032 * [taylor]: Taking taylor expansion of 1/3 in N 5.032 * [backup-simplify]: Simplify 1/3 into 1/3 5.032 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 5.032 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 5.032 * [taylor]: Taking taylor expansion of N in N 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 1 into 1 5.032 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 5.032 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.032 * [taylor]: Taking taylor expansion of 1/2 in N 5.032 * [backup-simplify]: Simplify 1/2 into 1/2 5.032 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.032 * [taylor]: Taking taylor expansion of N in N 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 1 into 1 5.033 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.033 * [taylor]: Taking taylor expansion of 1/3 in N 5.033 * [backup-simplify]: Simplify 1/3 into 1/3 5.033 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.033 * [taylor]: Taking taylor expansion of N in N 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify 1 into 1 5.033 * [backup-simplify]: Simplify (+ 0 0) into 0 5.034 * [backup-simplify]: Simplify (+ 1 0) into 1 5.034 * [backup-simplify]: Simplify (log 1) into 0 5.034 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.034 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.035 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.035 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.035 * [taylor]: Taking taylor expansion of -1 in N 5.035 * [backup-simplify]: Simplify -1 into -1 5.035 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.036 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.036 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 5.037 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 5.037 * [backup-simplify]: Simplify (* 1 1) into 1 5.038 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.038 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.039 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.041 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.041 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 5.042 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 5.043 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* (* 1/6 (pow N 1/3)) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 5.043 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 5.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.047 * [backup-simplify]: Simplify (* 1 1) into 1 5.047 * [backup-simplify]: Simplify (* 1 1) into 1 5.047 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.048 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.048 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.051 * [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 5.052 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.053 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 5.055 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 5.055 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* (* 1/6 (pow N 1/3)) 0) (* (* 1/12 (pow N 1/3)) (cbrt -1)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 5.056 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 5.059 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 5.059 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.060 * [backup-simplify]: Simplify (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 5.060 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 5.060 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 5.060 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 5.060 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.060 * [taylor]: Taking taylor expansion of N in N 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (/ 1 1) into 1 5.060 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 5.060 * [taylor]: Taking taylor expansion of 1/3 in N 5.060 * [backup-simplify]: Simplify 1/3 into 1/3 5.060 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.061 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.061 * [taylor]: Taking taylor expansion of N in N 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 1 into 1 5.061 * [backup-simplify]: Simplify (* 1 1) into 1 5.061 * [backup-simplify]: Simplify (* 1 1) into 1 5.062 * [backup-simplify]: Simplify (/ 1 1) into 1 5.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 5.062 * [taylor]: Taking taylor expansion of 1/2 in N 5.062 * [backup-simplify]: Simplify 1/2 into 1/2 5.062 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.062 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.062 * [taylor]: Taking taylor expansion of N in N 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify 1 into 1 5.062 * [backup-simplify]: Simplify (* 1 1) into 1 5.063 * [backup-simplify]: Simplify (/ 1 1) into 1 5.063 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 5.063 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 5.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.063 * [taylor]: Taking taylor expansion of N in N 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify 1 into 1 5.063 * [backup-simplify]: Simplify (/ 1 1) into 1 5.063 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 5.063 * [taylor]: Taking taylor expansion of 1/3 in N 5.063 * [backup-simplify]: Simplify 1/3 into 1/3 5.063 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.063 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.063 * [taylor]: Taking taylor expansion of N in N 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify 1 into 1 5.064 * [backup-simplify]: Simplify (* 1 1) into 1 5.064 * [backup-simplify]: Simplify (* 1 1) into 1 5.065 * [backup-simplify]: Simplify (/ 1 1) into 1 5.065 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 5.065 * [taylor]: Taking taylor expansion of 1/2 in N 5.065 * [backup-simplify]: Simplify 1/2 into 1/2 5.065 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.065 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.065 * [taylor]: Taking taylor expansion of N in N 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify (* 1 1) into 1 5.066 * [backup-simplify]: Simplify (/ 1 1) into 1 5.066 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.067 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.067 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.067 * [backup-simplify]: Simplify 1/3 into 1/3 5.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.070 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.070 * [backup-simplify]: Simplify (+ 0 0) into 0 5.071 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.071 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.072 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.072 * [backup-simplify]: Simplify -1/2 into -1/2 5.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.076 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.076 * [backup-simplify]: Simplify (+ 1 0) into 1 5.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.079 * [backup-simplify]: Simplify (- 0) into 0 5.079 * [backup-simplify]: Simplify (+ 1 0) into 1 5.080 * [backup-simplify]: Simplify 1 into 1 5.080 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 5.080 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (+ (/ 1 (/ 1 N)) (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 5.080 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 5.081 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 5.081 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 5.081 * [taylor]: Taking taylor expansion of N in N 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 1 into 1 5.081 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.081 * [taylor]: Taking taylor expansion of 1/3 in N 5.081 * [backup-simplify]: Simplify 1/3 into 1/3 5.081 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.081 * [taylor]: Taking taylor expansion of N in N 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 1 into 1 5.081 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.081 * [taylor]: Taking taylor expansion of 1/2 in N 5.081 * [backup-simplify]: Simplify 1/2 into 1/2 5.081 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.081 * [taylor]: Taking taylor expansion of N in N 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 1 into 1 5.081 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 5.081 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 5.081 * [taylor]: Taking taylor expansion of N in N 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 1 into 1 5.081 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.081 * [taylor]: Taking taylor expansion of 1/3 in N 5.081 * [backup-simplify]: Simplify 1/3 into 1/3 5.081 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.081 * [taylor]: Taking taylor expansion of N in N 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 1 into 1 5.081 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.081 * [taylor]: Taking taylor expansion of 1/2 in N 5.081 * [backup-simplify]: Simplify 1/2 into 1/2 5.081 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.081 * [taylor]: Taking taylor expansion of N in N 5.081 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify 1 into 1 5.082 * [backup-simplify]: Simplify (+ 0 0) into 0 5.083 * [backup-simplify]: Simplify (+ 0 0) into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify (+ 1 0) into 1 5.084 * [backup-simplify]: Simplify (+ 1 0) into 1 5.084 * [backup-simplify]: Simplify 1 into 1 5.084 * [backup-simplify]: Simplify (+ 0 0) into 0 5.085 * [backup-simplify]: Simplify (* 1 1) into 1 5.085 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.086 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.086 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.086 * [backup-simplify]: Simplify -1/2 into -1/2 5.087 * [backup-simplify]: Simplify (* 1 1) into 1 5.087 * [backup-simplify]: Simplify (* 1 1) into 1 5.087 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.088 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.090 * [backup-simplify]: Simplify (- 0) into 0 5.090 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.090 * [backup-simplify]: Simplify 1/3 into 1/3 5.091 * [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)))) 5.091 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (+ (/ 1 (/ 1 (- N))) (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) 5.091 * [approximate]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in (N) around 0 5.092 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 5.092 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 5.092 * [taylor]: Taking taylor expansion of N in N 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 5.092 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.092 * [taylor]: Taking taylor expansion of 1/2 in N 5.092 * [backup-simplify]: Simplify 1/2 into 1/2 5.092 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.092 * [taylor]: Taking taylor expansion of N in N 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.092 * [taylor]: Taking taylor expansion of 1/3 in N 5.092 * [backup-simplify]: Simplify 1/3 into 1/3 5.092 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.092 * [taylor]: Taking taylor expansion of N in N 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 5.092 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 5.092 * [taylor]: Taking taylor expansion of N in N 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 5.092 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.093 * [taylor]: Taking taylor expansion of 1/2 in N 5.093 * [backup-simplify]: Simplify 1/2 into 1/2 5.093 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.093 * [taylor]: Taking taylor expansion of N in N 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 1 into 1 5.093 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.093 * [taylor]: Taking taylor expansion of 1/3 in N 5.093 * [backup-simplify]: Simplify 1/3 into 1/3 5.093 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.093 * [taylor]: Taking taylor expansion of N in N 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 1 into 1 5.094 * [backup-simplify]: Simplify (+ 0 0) into 0 5.094 * [backup-simplify]: Simplify (- 0) into 0 5.094 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify (+ 1 0) into 1 5.095 * [backup-simplify]: Simplify (- 1) into -1 5.095 * [backup-simplify]: Simplify -1 into -1 5.096 * [backup-simplify]: Simplify (* 1 1) into 1 5.096 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.097 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.097 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.097 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.097 * [backup-simplify]: Simplify -1/2 into -1/2 5.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.099 * [backup-simplify]: Simplify (* 1 1) into 1 5.100 * [backup-simplify]: Simplify (* 1 1) into 1 5.100 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.100 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.101 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.101 * [backup-simplify]: Simplify (- 1/3) into -1/3 5.101 * [backup-simplify]: Simplify -1/3 into -1/3 5.102 * [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)))) 5.102 * * * [progress]: simplifying candidates 5.102 * * * * [progress]: [ 1 / 107 ] simplifiying candidate # 5.102 * * * * [progress]: [ 2 / 107 ] simplifiying candidate # 5.102 * * * * [progress]: [ 3 / 107 ] simplifiying candidate # 5.102 * * * * [progress]: [ 4 / 107 ] simplifiying candidate # 5.102 * * * * [progress]: [ 5 / 107 ] simplifiying candidate # 5.102 * * * * [progress]: [ 6 / 107 ] simplifiying candidate # 5.102 * * * * [progress]: [ 7 / 107 ] simplifiying candidate # 5.102 * * * * [progress]: [ 8 / 107 ] simplifiying candidate # 5.103 * * * * [progress]: [ 9 / 107 ] simplifiying candidate # 5.103 * * * * [progress]: [ 10 / 107 ] simplifiying candidate # 5.103 * * * * [progress]: [ 11 / 107 ] simplifiying candidate # 5.103 * * * * [progress]: [ 12 / 107 ] simplifiying candidate # 5.103 * * * * [progress]: [ 13 / 107 ] simplifiying candidate # 5.103 * * * * [progress]: [ 14 / 107 ] simplifiying candidate # 5.103 * * * * [progress]: [ 15 / 107 ] simplifiying candidate # 5.103 * * * * [progress]: [ 16 / 107 ] simplifiying candidate # 5.103 * * * * [progress]: [ 17 / 107 ] simplifiying candidate # 5.103 * * * * [progress]: [ 18 / 107 ] simplifiying candidate # 5.103 * * * * [progress]: [ 19 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 20 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 21 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 22 / 107 ] simplifiying candidate #real (real->posit16 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))))))> 5.104 * * * * [progress]: [ 23 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 24 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 25 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 26 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 27 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 28 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 29 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 30 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 31 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 32 / 107 ] simplifiying candidate # 5.104 * * * * [progress]: [ 33 / 107 ] simplifiying candidate # 5.105 * * * * [progress]: [ 34 / 107 ] simplifiying candidate # 5.105 * * * * [progress]: [ 35 / 107 ] simplifiying candidate # 5.105 * * * * [progress]: [ 36 / 107 ] simplifiying candidate # 5.105 * * * * [progress]: [ 37 / 107 ] simplifiying candidate # 5.105 * * * * [progress]: [ 38 / 107 ] simplifiying candidate # 5.105 * * * * [progress]: [ 39 / 107 ] simplifiying candidate # 5.105 * * * * [progress]: [ 40 / 107 ] simplifiying candidate # 5.105 * * * * [progress]: [ 41 / 107 ] simplifiying candidate # 5.105 * * * * [progress]: [ 42 / 107 ] simplifiying candidate # 5.105 * * * * [progress]: [ 43 / 107 ] simplifiying candidate # 5.105 * * * * [progress]: [ 44 / 107 ] simplifiying candidate #real (real->posit16 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))))> 5.106 * * * * [progress]: [ 45 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 46 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 47 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 48 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 49 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 50 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 51 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 52 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 53 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 54 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 55 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 56 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 57 / 107 ] simplifiying candidate # 5.106 * * * * [progress]: [ 58 / 107 ] simplifiying candidate # 5.107 * * * * [progress]: [ 59 / 107 ] simplifiying candidate # 5.107 * * * * [progress]: [ 60 / 107 ] simplifiying candidate # 5.107 * * * * [progress]: [ 61 / 107 ] simplifiying candidate # 5.107 * * * * [progress]: [ 62 / 107 ] simplifiying candidate # 5.107 * * * * [progress]: [ 63 / 107 ] simplifiying candidate # 5.107 * * * * [progress]: [ 64 / 107 ] simplifiying candidate # 5.107 * * * * [progress]: [ 65 / 107 ] simplifiying candidate # 5.107 * * * * [progress]: [ 66 / 107 ] simplifiying candidate #real (real->posit16 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))))> 5.107 * * * * [progress]: [ 67 / 107 ] simplifiying candidate # 5.107 * * * * [progress]: [ 68 / 107 ] simplifiying candidate # 5.107 * * * * [progress]: [ 69 / 107 ] simplifiying candidate # 5.107 * * * * [progress]: [ 70 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 71 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 72 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 73 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 74 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 75 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 76 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 77 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 78 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 79 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 80 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 81 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 82 / 107 ] simplifiying candidate # 5.108 * * * * [progress]: [ 83 / 107 ] simplifiying candidate # 5.109 * * * * [progress]: [ 84 / 107 ] simplifiying candidate # 5.109 * * * * [progress]: [ 85 / 107 ] simplifiying candidate # 5.109 * * * * [progress]: [ 86 / 107 ] simplifiying candidate # 5.109 * * * * [progress]: [ 87 / 107 ] simplifiying candidate # 5.109 * * * * [progress]: [ 88 / 107 ] simplifiying candidate # 5.109 * * * * [progress]: [ 89 / 107 ] simplifiying candidate # 5.109 * * * * [progress]: [ 90 / 107 ] simplifiying candidate # 5.109 * * * * [progress]: [ 91 / 107 ] simplifiying candidate # 5.109 * * * * [progress]: [ 92 / 107 ] simplifiying candidate # 5.109 * * * * [progress]: [ 93 / 107 ] simplifiying candidate # 5.109 * * * * [progress]: [ 94 / 107 ] simplifiying candidate #real (real->posit16 (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))))))> 5.109 * * * * [progress]: [ 95 / 107 ] simplifiying candidate # 5.110 * * * * [progress]: [ 96 / 107 ] simplifiying candidate # 5.110 * * * * [progress]: [ 97 / 107 ] simplifiying candidate # 5.110 * * * * [progress]: [ 98 / 107 ] simplifiying candidate # 5.110 * * * * [progress]: [ 99 / 107 ] simplifiying candidate # 5.110 * * * * [progress]: [ 100 / 107 ] simplifiying candidate # 5.110 * * * * [progress]: [ 101 / 107 ] simplifiying candidate # 5.111 * * * * [progress]: [ 102 / 107 ] simplifiying candidate # 5.111 * * * * [progress]: [ 103 / 107 ] simplifiying candidate # 5.111 * * * * [progress]: [ 104 / 107 ] simplifiying candidate # 5.111 * * * * [progress]: [ 105 / 107 ] simplifiying candidate # 5.111 * * * * [progress]: [ 106 / 107 ] simplifiying candidate # 5.111 * * * * [progress]: [ 107 / 107 ] simplifiying candidate # 5.119 * [simplify]: Simplifying: (expm1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (log1p (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (log (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (exp (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (* -1/2 (* N (* N N))) (* (* N N) (+ (* 1 (* N N)) (* N (/ 1/3 N)))))) (cbrt (* (* N N) (* N (* N N)))) (cbrt (+ (* -1/2 (+ (* (/ 1 N) (/ 1 N)) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (* (* N N) (+ (pow (/ 1 N) 3) (pow (/ (/ 1/3 N) (* N N)) 3))))) (cbrt (* (* N N) (+ (* (/ 1 N) (/ 1 N)) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (+ (* -1/2 (- (/ 1 N) (/ (/ 1/3 N) (* N N)))) (* (* N N) (- (* (/ 1 N) (/ 1 N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))))))) (cbrt (* (* N N) (- (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (pow (/ -1/2 (* N N)) 3) (pow (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) 3))) (cbrt (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (* (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (- (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (* (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (* (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (real->posit16 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (expm1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (log1p (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (log (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (exp (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (* -1/2 (* N (* N N))) (* (* N N) (+ (* 1 (* N N)) (* N (/ 1/3 N)))))) (cbrt (* (* N N) (* N (* N N)))) (cbrt (+ (* -1/2 (+ (* (/ 1 N) (/ 1 N)) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (* (* N N) (+ (pow (/ 1 N) 3) (pow (/ (/ 1/3 N) (* N N)) 3))))) (cbrt (* (* N N) (+ (* (/ 1 N) (/ 1 N)) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (+ (* -1/2 (- (/ 1 N) (/ (/ 1/3 N) (* N N)))) (* (* N N) (- (* (/ 1 N) (/ 1 N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))))))) (cbrt (* (* N N) (- (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (pow (/ -1/2 (* N N)) 3) (pow (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) 3))) (cbrt (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (* (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (- (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (* (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (* (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (real->posit16 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (expm1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (log1p (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (log (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (exp (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt 1) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (* -1/2 (* N (* N N))) (* (* N N) (+ (* 1 (* N N)) (* N (/ 1/3 N)))))) (cbrt (* (* N N) (* N (* N N)))) (cbrt (+ (* -1/2 (+ (* (/ 1 N) (/ 1 N)) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (* (* N N) (+ (pow (/ 1 N) 3) (pow (/ (/ 1/3 N) (* N N)) 3))))) (cbrt (* (* N N) (+ (* (/ 1 N) (/ 1 N)) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (+ (* -1/2 (- (/ 1 N) (/ (/ 1/3 N) (* N N)))) (* (* N N) (- (* (/ 1 N) (/ 1 N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))))))) (cbrt (* (* N N) (- (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (pow (/ -1/2 (* N N)) 3) (pow (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) 3))) (cbrt (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (* (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (- (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (* (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (* (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (real->posit16 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (expm1 (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (log1p (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (* (exp (/ -1/2 (* N N))) (* (exp (/ 1 N)) (exp (/ (/ 1/3 N) (* N N))))) (* (exp (/ -1/2 (* N N))) (exp (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (log (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (exp (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (* (* (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (+ (* -1/2 (* N (* N N))) (* (* N N) (+ (* 1 (* N N)) (* N (/ 1/3 N))))) (* (* N N) (* N (* N N))) (+ (* -1/2 (+ (* (/ 1 N) (/ 1 N)) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (* (* N N) (+ (pow (/ 1 N) 3) (pow (/ (/ 1/3 N) (* N N)) 3)))) (* (* N N) (+ (* (/ 1 N) (/ 1 N)) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (+ (* -1/2 (- (/ 1 N) (/ (/ 1/3 N) (* N N)))) (* (* N N) (- (* (/ 1 N) (/ 1 N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))))) (* (* N N) (- (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (pow (/ -1/2 (* N N)) 3) (pow (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) 3)) (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (* (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))))) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (- (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (/ 1 N)) (real->posit16 (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (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)))) 5.124 * * [simplify]: iteration 1: (143 enodes) 5.170 * * [simplify]: iteration 2: (410 enodes) 5.686 * * [simplify]: iteration 3: (1604 enodes) 12.553 * * [simplify]: Extracting #0: cost 45 inf + 0 12.555 * * [simplify]: Extracting #1: cost 378 inf + 1 12.566 * * [simplify]: Extracting #2: cost 1661 inf + 2283 12.617 * * [simplify]: Extracting #3: cost 1707 inf + 99586 12.732 * * [simplify]: Extracting #4: cost 463 inf + 445818 12.929 * * [simplify]: Extracting #5: cost 102 inf + 547219 13.127 * * [simplify]: Extracting #6: cost 51 inf + 568269 13.330 * * [simplify]: Extracting #7: cost 13 inf + 586679 13.527 * * [simplify]: Extracting #8: cost 0 inf + 594427 13.736 * [simplify]: Simplified to: (expm1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (log1p (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (log (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (exp (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (* (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))))) (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (sqrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (sqrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (cbrt (* (* N N) (+ (* -1/2 N) (* (+ (/ 1/3 N) N) N)))) (cbrt (* (* (* N N) N) (* N N))) (cbrt (+ (fma (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (* (* 1/3 (/ 1 N)) 1) (/ 1 N)) (fma -1/2 (- (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (/ (/ 1/3 (* N N)) (* N N))) (/ -1/2 (* N N))))) (cbrt (fma (* N N) (- (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (/ (/ 1/3 (* N N)) (* N N))) 1)) (cbrt (* (- (/ 1 N) (/ 1/3 (* (* N N) N))) (+ -1/2 (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (* N N))))) (cbrt (* (- (/ 1 N) (/ 1/3 (* (* N N) N))) (* N N))) (cbrt (fma (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N)) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)))))) (cbrt (fma (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (- (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (/ -1/2 (* N N))) (* (/ -1/2 (* N N)) (/ -1/2 (* N N))))) (cbrt (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N))))) (cbrt (- (/ -1/2 (* N N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)))) (* (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))))) (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (sqrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (sqrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (real->posit16 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (expm1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (log1p (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (log (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (exp (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (* (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))))) (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (sqrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (sqrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (cbrt (* (* N N) (+ (* -1/2 N) (* (+ (/ 1/3 N) N) N)))) (cbrt (* (* (* N N) N) (* N N))) (cbrt (+ (fma (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (* (* 1/3 (/ 1 N)) 1) (/ 1 N)) (fma -1/2 (- (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (/ (/ 1/3 (* N N)) (* N N))) (/ -1/2 (* N N))))) (cbrt (fma (* N N) (- (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (/ (/ 1/3 (* N N)) (* N N))) 1)) (cbrt (* (- (/ 1 N) (/ 1/3 (* (* N N) N))) (+ -1/2 (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (* N N))))) (cbrt (* (- (/ 1 N) (/ 1/3 (* (* N N) N))) (* N N))) (cbrt (fma (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N)) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)))))) (cbrt (fma (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (- (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (/ -1/2 (* N N))) (* (/ -1/2 (* N N)) (/ -1/2 (* N N))))) (cbrt (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N))))) (cbrt (- (/ -1/2 (* N N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)))) (* (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))))) (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (sqrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (sqrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (real->posit16 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (expm1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (log1p (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (log (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (exp (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (* (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))))) (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (sqrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (sqrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) 1 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (cbrt (* (* N N) (+ (* -1/2 N) (* (+ (/ 1/3 N) N) N)))) (cbrt (* (* (* N N) N) (* N N))) (cbrt (+ (fma (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (* (* 1/3 (/ 1 N)) 1) (/ 1 N)) (fma -1/2 (- (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (/ (/ 1/3 (* N N)) (* N N))) (/ -1/2 (* N N))))) (cbrt (fma (* N N) (- (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (/ (/ 1/3 (* N N)) (* N N))) 1)) (cbrt (* (- (/ 1 N) (/ 1/3 (* (* N N) N))) (+ -1/2 (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (* N N))))) (cbrt (* (- (/ 1 N) (/ 1/3 (* (* N N) N))) (* N N))) (cbrt (fma (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N)) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)))))) (cbrt (fma (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (- (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (/ -1/2 (* N N))) (* (/ -1/2 (* N N)) (/ -1/2 (* N N))))) (cbrt (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N))))) (cbrt (- (/ -1/2 (* N N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)))) (* (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))))) (cbrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (sqrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (sqrt (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (real->posit16 (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (expm1 (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (log1p (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (exp (+ (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (/ -1/2 (* N N)))) (exp (+ (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (/ -1/2 (* N N)))) (log (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (exp (+ (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (/ -1/2 (* N N)))) (* (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (* (* (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (sqrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (sqrt (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (* (* N N) (+ (* -1/2 N) (* (+ (/ 1/3 N) N) N))) (* (* (* N N) N) (* N N)) (+ (fma (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (* (* 1/3 (/ 1 N)) 1) (/ 1 N)) (fma -1/2 (- (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (/ (/ 1/3 (* N N)) (* N N))) (/ -1/2 (* N N)))) (fma (* N N) (- (* (/ 1/3 (* N N)) (/ (/ 1/3 (* N N)) (* N N))) (/ (/ 1/3 (* N N)) (* N N))) 1) (* (- (/ 1 N) (/ 1/3 (* (* N N) N))) (+ -1/2 (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (* N N)))) (* (- (/ 1 N) (/ 1/3 (* (* N N) N))) (* N N)) (fma (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N)) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N))))) (fma (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (- (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (/ -1/2 (* N N))) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)))) (- (/ -1/2 (* N N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N))) (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ -1/2 (* N N))) (real->posit16 (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N))))) (* (exp (* (fma -3 (log N) (log 1/3)) 1/3)) (- (fma (* N N) 3/4 1) (* N 1/2))) (fma (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) -1/6 (fma (cbrt (/ 1 (pow N 7))) 1/12 (cbrt (/ 1 N)))) (* (cbrt -1) (- (fma 1/12 (cbrt (/ -1 (pow N 7))) (cbrt (/ -1 N))) (* (cbrt (/ -1 (* (* N N) (* N N)))) 1/6))) (* (exp (* (fma -3 (log N) (log 1/3)) 1/3)) (- (fma (* N N) 3/4 1) (* N 1/2))) (fma (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) -1/6 (fma (cbrt (/ 1 (pow N 7))) 1/12 (cbrt (/ 1 N)))) (* (cbrt -1) (- (fma 1/12 (cbrt (/ -1 (pow N 7))) (cbrt (/ -1 N))) (* (cbrt (/ -1 (* (* N N) (* N N)))) 1/6))) (* (exp (* (fma -3 (log N) (log 1/3)) 1/3)) (- (fma (* N N) 3/4 1) (* N 1/2))) (fma (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) -1/6 (fma (cbrt (/ 1 (pow N 7))) 1/12 (cbrt (/ 1 N)))) (* (cbrt -1) (- (fma 1/12 (cbrt (/ -1 (pow N 7))) (cbrt (/ -1 N))) (* (cbrt (/ -1 (* (* N N) (* N N)))) 1/6))) (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) 13.753 * * * [progress]: adding candidates to table 14.934 * * [progress]: iteration 4 / 4 14.934 * * * [progress]: picking best candidate 14.946 * * * * [pick]: Picked # 14.946 * * * [progress]: localizing error 14.964 * * * [progress]: generating rewritten candidates 14.964 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 14.972 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 15.001 * * * [progress]: generating series expansions 15.001 * * * * [progress]: [ 1 / 2 ] generating series at (2) 15.001 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 15.001 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 15.001 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 15.001 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 15.001 * [taylor]: Taking taylor expansion of (+ N 1) in N 15.001 * [taylor]: Taking taylor expansion of N in N 15.001 * [backup-simplify]: Simplify 0 into 0 15.001 * [backup-simplify]: Simplify 1 into 1 15.001 * [taylor]: Taking taylor expansion of 1 in N 15.001 * [backup-simplify]: Simplify 1 into 1 15.001 * [taylor]: Taking taylor expansion of N in N 15.001 * [backup-simplify]: Simplify 0 into 0 15.001 * [backup-simplify]: Simplify 1 into 1 15.002 * [backup-simplify]: Simplify (+ 0 1) into 1 15.002 * [backup-simplify]: Simplify (/ 1 1) into 1 15.003 * [backup-simplify]: Simplify (log 1) into 0 15.003 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 15.003 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 15.003 * [taylor]: Taking taylor expansion of (+ N 1) in N 15.003 * [taylor]: Taking taylor expansion of N in N 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [backup-simplify]: Simplify 1 into 1 15.003 * [taylor]: Taking taylor expansion of 1 in N 15.003 * [backup-simplify]: Simplify 1 into 1 15.003 * [taylor]: Taking taylor expansion of N in N 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [backup-simplify]: Simplify 1 into 1 15.003 * [backup-simplify]: Simplify (+ 0 1) into 1 15.004 * [backup-simplify]: Simplify (/ 1 1) into 1 15.004 * [backup-simplify]: Simplify (log 1) into 0 15.005 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 15.005 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 15.005 * [backup-simplify]: Simplify (+ 1 0) into 1 15.006 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 15.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 15.007 * [backup-simplify]: Simplify 1 into 1 15.007 * [backup-simplify]: Simplify (+ 0 0) into 0 15.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 15.009 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 15.009 * [backup-simplify]: Simplify -1/2 into -1/2 15.009 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 15.009 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 15.009 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 15.009 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 15.009 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 15.009 * [taylor]: Taking taylor expansion of N in N 15.009 * [backup-simplify]: Simplify 0 into 0 15.009 * [backup-simplify]: Simplify 1 into 1 15.009 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 15.009 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.009 * [taylor]: Taking taylor expansion of N in N 15.009 * [backup-simplify]: Simplify 0 into 0 15.009 * [backup-simplify]: Simplify 1 into 1 15.010 * [backup-simplify]: Simplify (/ 1 1) into 1 15.010 * [taylor]: Taking taylor expansion of 1 in N 15.010 * [backup-simplify]: Simplify 1 into 1 15.010 * [backup-simplify]: Simplify (+ 1 0) into 1 15.010 * [backup-simplify]: Simplify (* 0 1) into 0 15.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.011 * [backup-simplify]: Simplify (+ 0 1) into 1 15.011 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 15.012 * [backup-simplify]: Simplify (log 1) into 0 15.012 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 15.012 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 15.012 * [taylor]: Taking taylor expansion of N in N 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 1 into 1 15.012 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 15.012 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.012 * [taylor]: Taking taylor expansion of N in N 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 1 into 1 15.012 * [backup-simplify]: Simplify (/ 1 1) into 1 15.012 * [taylor]: Taking taylor expansion of 1 in N 15.012 * [backup-simplify]: Simplify 1 into 1 15.012 * [backup-simplify]: Simplify (+ 1 0) into 1 15.013 * [backup-simplify]: Simplify (* 0 1) into 0 15.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.013 * [backup-simplify]: Simplify (+ 0 1) into 1 15.014 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 15.014 * [backup-simplify]: Simplify (log 1) into 0 15.014 * [backup-simplify]: Simplify 0 into 0 15.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.015 * [backup-simplify]: Simplify (+ 0 0) into 0 15.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 15.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 15.016 * [backup-simplify]: Simplify 1 into 1 15.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.017 * [backup-simplify]: Simplify (+ 0 0) into 0 15.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 15.019 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 15.019 * [backup-simplify]: Simplify -1/2 into -1/2 15.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.020 * [backup-simplify]: Simplify (+ 0 0) into 0 15.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 15.024 * [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 15.024 * [backup-simplify]: Simplify 1/3 into 1/3 15.024 * [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)))) 15.024 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 15.025 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 15.025 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 15.025 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 15.025 * [taylor]: Taking taylor expansion of -1 in N 15.025 * [backup-simplify]: Simplify -1 into -1 15.025 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 15.025 * [taylor]: Taking taylor expansion of N in N 15.025 * [backup-simplify]: Simplify 0 into 0 15.025 * [backup-simplify]: Simplify 1 into 1 15.025 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 15.025 * [taylor]: Taking taylor expansion of 1 in N 15.025 * [backup-simplify]: Simplify 1 into 1 15.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.025 * [taylor]: Taking taylor expansion of N in N 15.025 * [backup-simplify]: Simplify 0 into 0 15.025 * [backup-simplify]: Simplify 1 into 1 15.025 * [backup-simplify]: Simplify (/ 1 1) into 1 15.025 * [backup-simplify]: Simplify (- 1) into -1 15.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.026 * [backup-simplify]: Simplify (* 0 -1) into 0 15.026 * [backup-simplify]: Simplify (* -1 0) into 0 15.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.027 * [backup-simplify]: Simplify (- 0) into 0 15.027 * [backup-simplify]: Simplify (+ 1 0) into 1 15.028 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 15.028 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 15.028 * [backup-simplify]: Simplify (log 1) into 0 15.028 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 15.028 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 15.028 * [taylor]: Taking taylor expansion of -1 in N 15.028 * [backup-simplify]: Simplify -1 into -1 15.028 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 15.028 * [taylor]: Taking taylor expansion of N in N 15.029 * [backup-simplify]: Simplify 0 into 0 15.029 * [backup-simplify]: Simplify 1 into 1 15.029 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 15.029 * [taylor]: Taking taylor expansion of 1 in N 15.029 * [backup-simplify]: Simplify 1 into 1 15.029 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.029 * [taylor]: Taking taylor expansion of N in N 15.029 * [backup-simplify]: Simplify 0 into 0 15.029 * [backup-simplify]: Simplify 1 into 1 15.029 * [backup-simplify]: Simplify (/ 1 1) into 1 15.029 * [backup-simplify]: Simplify (- 1) into -1 15.030 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.030 * [backup-simplify]: Simplify (* 0 -1) into 0 15.030 * [backup-simplify]: Simplify (* -1 0) into 0 15.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.031 * [backup-simplify]: Simplify (- 0) into 0 15.031 * [backup-simplify]: Simplify (+ 1 0) into 1 15.032 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 15.032 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 15.032 * [backup-simplify]: Simplify (log 1) into 0 15.032 * [backup-simplify]: Simplify 0 into 0 15.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.033 * [backup-simplify]: Simplify (- 0) into 0 15.033 * [backup-simplify]: Simplify (+ 0 0) into 0 15.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 15.034 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 15.035 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 15.035 * [backup-simplify]: Simplify -1 into -1 15.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.036 * [backup-simplify]: Simplify (- 0) into 0 15.036 * [backup-simplify]: Simplify (+ 0 0) into 0 15.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 15.038 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 15.039 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 15.039 * [backup-simplify]: Simplify -1/2 into -1/2 15.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.040 * [backup-simplify]: Simplify (- 0) into 0 15.040 * [backup-simplify]: Simplify (+ 0 0) into 0 15.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 15.042 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 15.045 * [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 15.045 * [backup-simplify]: Simplify -1/3 into -1/3 15.045 * [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)))) 15.045 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 15.046 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 15.046 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 15.046 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 15.046 * [taylor]: Taking taylor expansion of (+ N 1) in N 15.046 * [taylor]: Taking taylor expansion of N in N 15.046 * [backup-simplify]: Simplify 0 into 0 15.046 * [backup-simplify]: Simplify 1 into 1 15.046 * [taylor]: Taking taylor expansion of 1 in N 15.046 * [backup-simplify]: Simplify 1 into 1 15.046 * [taylor]: Taking taylor expansion of N in N 15.046 * [backup-simplify]: Simplify 0 into 0 15.046 * [backup-simplify]: Simplify 1 into 1 15.046 * [backup-simplify]: Simplify (+ 0 1) into 1 15.046 * [backup-simplify]: Simplify (/ 1 1) into 1 15.046 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 15.046 * [taylor]: Taking taylor expansion of (+ N 1) in N 15.046 * [taylor]: Taking taylor expansion of N in N 15.046 * [backup-simplify]: Simplify 0 into 0 15.046 * [backup-simplify]: Simplify 1 into 1 15.046 * [taylor]: Taking taylor expansion of 1 in N 15.046 * [backup-simplify]: Simplify 1 into 1 15.046 * [taylor]: Taking taylor expansion of N in N 15.047 * [backup-simplify]: Simplify 0 into 0 15.047 * [backup-simplify]: Simplify 1 into 1 15.047 * [backup-simplify]: Simplify (+ 0 1) into 1 15.047 * [backup-simplify]: Simplify (/ 1 1) into 1 15.047 * [backup-simplify]: Simplify 1 into 1 15.047 * [backup-simplify]: Simplify (+ 1 0) into 1 15.048 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 15.048 * [backup-simplify]: Simplify 1 into 1 15.048 * [backup-simplify]: Simplify (+ 0 0) into 0 15.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 15.049 * [backup-simplify]: Simplify 0 into 0 15.049 * [backup-simplify]: Simplify (+ 0 0) into 0 15.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.050 * [backup-simplify]: Simplify 0 into 0 15.050 * [backup-simplify]: Simplify (+ 0 0) into 0 15.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.055 * [backup-simplify]: Simplify 0 into 0 15.055 * [backup-simplify]: Simplify (+ 0 0) into 0 15.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.056 * [backup-simplify]: Simplify 0 into 0 15.056 * [backup-simplify]: Simplify (+ 0 0) into 0 15.057 * [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 15.057 * [backup-simplify]: Simplify 0 into 0 15.057 * [backup-simplify]: Simplify (+ 0 0) into 0 15.058 * [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 15.058 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 15.058 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 15.058 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 15.058 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 15.058 * [taylor]: Taking taylor expansion of N in N 15.058 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify 1 into 1 15.058 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 15.058 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.058 * [taylor]: Taking taylor expansion of N in N 15.058 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify 1 into 1 15.058 * [backup-simplify]: Simplify (/ 1 1) into 1 15.058 * [taylor]: Taking taylor expansion of 1 in N 15.058 * [backup-simplify]: Simplify 1 into 1 15.058 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 15.058 * [taylor]: Taking taylor expansion of N in N 15.058 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify 1 into 1 15.058 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 15.058 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.058 * [taylor]: Taking taylor expansion of N in N 15.058 * [backup-simplify]: Simplify 0 into 0 15.059 * [backup-simplify]: Simplify 1 into 1 15.059 * [backup-simplify]: Simplify (/ 1 1) into 1 15.059 * [taylor]: Taking taylor expansion of 1 in N 15.059 * [backup-simplify]: Simplify 1 into 1 15.059 * [backup-simplify]: Simplify (+ 1 0) into 1 15.059 * [backup-simplify]: Simplify (* 0 1) into 0 15.059 * [backup-simplify]: Simplify 0 into 0 15.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.060 * [backup-simplify]: Simplify (+ 0 1) into 1 15.060 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 15.061 * [backup-simplify]: Simplify 1 into 1 15.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.061 * [backup-simplify]: Simplify (+ 0 0) into 0 15.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 15.062 * [backup-simplify]: Simplify 1 into 1 15.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.063 * [backup-simplify]: Simplify (+ 0 0) into 0 15.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 15.064 * [backup-simplify]: Simplify 0 into 0 15.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.066 * [backup-simplify]: Simplify (+ 0 0) into 0 15.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 15.067 * [backup-simplify]: Simplify 0 into 0 15.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.068 * [backup-simplify]: Simplify (+ 0 0) into 0 15.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 15.070 * [backup-simplify]: Simplify 0 into 0 15.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.071 * [backup-simplify]: Simplify (+ 0 0) into 0 15.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 15.073 * [backup-simplify]: Simplify 0 into 0 15.074 * [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 15.075 * [backup-simplify]: Simplify (+ 0 0) into 0 15.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 15.076 * [backup-simplify]: Simplify 0 into 0 15.077 * [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 15.078 * [backup-simplify]: Simplify (+ 0 0) into 0 15.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 15.080 * [backup-simplify]: Simplify 0 into 0 15.080 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 15.080 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 15.080 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 15.080 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 15.080 * [taylor]: Taking taylor expansion of -1 in N 15.080 * [backup-simplify]: Simplify -1 into -1 15.080 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 15.080 * [taylor]: Taking taylor expansion of N in N 15.080 * [backup-simplify]: Simplify 0 into 0 15.080 * [backup-simplify]: Simplify 1 into 1 15.080 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 15.080 * [taylor]: Taking taylor expansion of 1 in N 15.080 * [backup-simplify]: Simplify 1 into 1 15.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.080 * [taylor]: Taking taylor expansion of N in N 15.080 * [backup-simplify]: Simplify 0 into 0 15.080 * [backup-simplify]: Simplify 1 into 1 15.081 * [backup-simplify]: Simplify (/ 1 1) into 1 15.081 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 15.081 * [taylor]: Taking taylor expansion of -1 in N 15.081 * [backup-simplify]: Simplify -1 into -1 15.081 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 15.081 * [taylor]: Taking taylor expansion of N in N 15.081 * [backup-simplify]: Simplify 0 into 0 15.081 * [backup-simplify]: Simplify 1 into 1 15.081 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 15.081 * [taylor]: Taking taylor expansion of 1 in N 15.081 * [backup-simplify]: Simplify 1 into 1 15.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.081 * [taylor]: Taking taylor expansion of N in N 15.081 * [backup-simplify]: Simplify 0 into 0 15.081 * [backup-simplify]: Simplify 1 into 1 15.082 * [backup-simplify]: Simplify (/ 1 1) into 1 15.082 * [backup-simplify]: Simplify (- 1) into -1 15.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.083 * [backup-simplify]: Simplify (* 0 -1) into 0 15.083 * [backup-simplify]: Simplify (* -1 0) into 0 15.083 * [backup-simplify]: Simplify 0 into 0 15.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.084 * [backup-simplify]: Simplify (- 0) into 0 15.085 * [backup-simplify]: Simplify (+ 1 0) into 1 15.085 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 15.086 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 15.086 * [backup-simplify]: Simplify 1 into 1 15.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.087 * [backup-simplify]: Simplify (- 0) into 0 15.088 * [backup-simplify]: Simplify (+ 0 0) into 0 15.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 15.089 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 15.090 * [backup-simplify]: Simplify -1 into -1 15.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.091 * [backup-simplify]: Simplify (- 0) into 0 15.091 * [backup-simplify]: Simplify (+ 0 0) into 0 15.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 15.094 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 15.094 * [backup-simplify]: Simplify 0 into 0 15.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.095 * [backup-simplify]: Simplify (- 0) into 0 15.095 * [backup-simplify]: Simplify (+ 0 0) into 0 15.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 15.098 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 15.098 * [backup-simplify]: Simplify 0 into 0 15.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.099 * [backup-simplify]: Simplify (- 0) into 0 15.099 * [backup-simplify]: Simplify (+ 0 0) into 0 15.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 15.101 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 15.101 * [backup-simplify]: Simplify 0 into 0 15.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.102 * [backup-simplify]: Simplify (- 0) into 0 15.102 * [backup-simplify]: Simplify (+ 0 0) into 0 15.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 15.104 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 15.105 * [backup-simplify]: Simplify 0 into 0 15.105 * [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 15.105 * [backup-simplify]: Simplify (- 0) into 0 15.106 * [backup-simplify]: Simplify (+ 0 0) into 0 15.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 15.108 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 15.108 * [backup-simplify]: Simplify 0 into 0 15.109 * [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 15.109 * [backup-simplify]: Simplify (- 0) into 0 15.109 * [backup-simplify]: Simplify (+ 0 0) into 0 15.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 15.112 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 15.112 * [backup-simplify]: Simplify 0 into 0 15.112 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 15.112 * * * [progress]: simplifying candidates 15.112 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 15.112 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 15.112 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 15.112 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 15.112 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 15.112 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 15.112 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 15.112 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 15.112 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 15.112 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 15.113 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 15.113 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 15.114 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 15.115 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 15.115 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 15.115 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 15.115 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 15.115 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 15.115 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 15.115 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 15.115 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 15.115 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 15.115 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 15.116 * [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) 15.116 * * [simplify]: iteration 1: (106 enodes) 15.149 * * [simplify]: iteration 2: (231 enodes) 15.287 * * [simplify]: iteration 3: (510 enodes) 15.656 * * [simplify]: iteration 4: (1564 enodes) 18.774 * * [simplify]: Extracting #0: cost 68 inf + 0 18.776 * * [simplify]: Extracting #1: cost 593 inf + 2 18.785 * * [simplify]: Extracting #2: cost 1425 inf + 12955 18.840 * * [simplify]: Extracting #3: cost 649 inf + 161663 18.910 * * [simplify]: Extracting #4: cost 124 inf + 323720 19.027 * * [simplify]: Extracting #5: cost 0 inf + 362501 19.103 * * [simplify]: Extracting #6: cost 0 inf + 357079 19.174 * [simplify]: Simplified to: (expm1 (log (+ 1 (/ 1 N)))) (log1p (log (+ 1 (/ 1 N)))) (log (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N))))) (log (cbrt (+ 1 (/ 1 N)))) (log (sqrt (+ 1 (/ 1 N)))) (log (sqrt (+ 1 (/ 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)) (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)) (* -2 (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (+ 1 (/ 1 N))) (* -2 (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (+ 1 (/ 1 N))) 0 (log (+ 1 (/ 1 N))) (log1p N) (- (log N)) (log1p N) (log N) (log (+ 1 (/ 1 N))) (log (log (+ 1 (/ 1 N)))) (+ 1 (/ 1 N)) (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (log (+ 1 (/ 1 N))))) (cbrt (log (+ 1 (/ 1 N)))) (* (* (log (+ 1 (/ 1 N))) (log (+ 1 (/ 1 N)))) (log (+ 1 (/ 1 N)))) (sqrt (log (+ 1 (/ 1 N)))) (sqrt (log (+ 1 (/ 1 N)))) (real->posit16 (log (+ 1 (/ 1 N)))) (expm1 (+ 1 (/ 1 N))) (log1p (+ 1 (/ 1 N))) (log (+ 1 (/ 1 N))) (log (+ 1 (/ 1 N))) (exp (+ 1 (/ 1 N))) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (+ 1 (/ 1 N))) (sqrt (+ 1 (/ 1 N))) (- -1 N) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) (/ (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 (+ 1 (/ 1 N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (+ 1 (/ 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))) (- N (* N N)) (real->posit16 (+ 1 (/ 1 N))) (fma (* N N) -1/2 (- N (log N))) (fma (/ (/ 1 N) N) -1/2 (fma (* (/ 1 N) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 N))) (fma (/ (/ 1 N) N) -1/2 (fma (* (/ 1 N) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 N))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 19.179 * * * [progress]: adding candidates to table 19.803 * [progress]: [Phase 3 of 3] Extracting. 19.803 * * [regime]: Finding splitpoints for: (# # # #) 19.804 * * * [regime-changes]: Trying 1 branch expressions: (N) 19.804 * * * * [regimes]: Trying to branch on N from (# # # #) 19.846 * * * [regime]: Found split indices: #