0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.106 * * * [progress]: [2/2] Setting up program. 0.111 * [progress]: [Phase 2 of 3] Improving. 0.111 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.112 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.112 * * [simplify]: iteration 1: (6 enodes) 0.115 * * [simplify]: iteration 2: (23 enodes) 0.122 * * [simplify]: iteration 3: (29 enodes) 0.129 * * [simplify]: Extracting #0: cost 1 inf + 0 0.129 * * [simplify]: Extracting #1: cost 5 inf + 0 0.129 * * [simplify]: Extracting #2: cost 10 inf + 0 0.130 * * [simplify]: Extracting #3: cost 11 inf + 1 0.130 * * [simplify]: Extracting #4: cost 2 inf + 762 0.130 * * [simplify]: Extracting #5: cost 0 inf + 1034 0.130 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.142 * * [progress]: iteration 1 / 4 0.142 * * * [progress]: picking best candidate 0.146 * * * * [pick]: Picked # 0.146 * * * [progress]: localizing error 0.168 * * * [progress]: generating rewritten candidates 0.168 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.180 * * * [progress]: generating series expansions 0.180 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.180 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.180 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.180 * [taylor]: Taking taylor expansion of (log1p N) in N 0.180 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.180 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.180 * [taylor]: Taking taylor expansion of 1 in N 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify (log 1) into 0 0.182 * [taylor]: Taking taylor expansion of (log N) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (log 1) into 0 0.182 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.182 * [taylor]: Taking taylor expansion of (log1p N) in N 0.182 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.182 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.182 * [taylor]: Taking taylor expansion of 1 in N 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [backup-simplify]: Simplify (log 1) into 0 0.183 * [taylor]: Taking taylor expansion of (log N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (log 1) into 0 0.184 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.184 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.184 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.184 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.185 * [backup-simplify]: Simplify (+ 0 1) into 1 0.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.195 * [backup-simplify]: Simplify -1/2 into -1/2 0.195 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.195 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.195 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.195 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.195 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.195 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.195 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.195 * [taylor]: Taking taylor expansion of 1 in N 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify (+ 0 1) into 1 0.197 * [backup-simplify]: Simplify (log 1) into 0 0.197 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (log 1) into 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 N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [backup-simplify]: Simplify (+ 0 1) into 1 0.199 * [backup-simplify]: Simplify (log 1) into 0 0.199 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify (log 1) into 0 0.200 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.201 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.201 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.228 * [backup-simplify]: Simplify -1/2 into -1/2 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [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 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [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 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.241 * [backup-simplify]: Simplify 1/3 into 1/3 0.241 * [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)))) 0.241 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.241 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.241 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.241 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.241 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.241 * [taylor]: Taking taylor expansion of 1 in N 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.241 * [taylor]: Taking taylor expansion of -1 in N 0.242 * [backup-simplify]: Simplify -1 into -1 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ -1 1) into -1 0.242 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.243 * [backup-simplify]: Simplify (log -1) into (log -1) 0.243 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.243 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.243 * [taylor]: Taking taylor expansion of -1 in N 0.243 * [backup-simplify]: Simplify -1 into -1 0.243 * [taylor]: Taking taylor expansion of N in N 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ -1 1) into -1 0.244 * [backup-simplify]: Simplify (log -1) into (log -1) 0.244 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.244 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.244 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.244 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.244 * [taylor]: Taking taylor expansion of 1 in N 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.244 * [taylor]: Taking taylor expansion of -1 in N 0.244 * [backup-simplify]: Simplify -1 into -1 0.244 * [taylor]: Taking taylor expansion of N in N 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ -1 1) into -1 0.245 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.245 * [backup-simplify]: Simplify (log -1) into (log -1) 0.245 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.245 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.245 * [taylor]: Taking taylor expansion of -1 in N 0.245 * [backup-simplify]: Simplify -1 into -1 0.245 * [taylor]: Taking taylor expansion of N in N 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ -1 1) into -1 0.246 * [backup-simplify]: Simplify (log -1) into (log -1) 0.247 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.248 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.248 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.249 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ -1 0) into -1 0.255 * [backup-simplify]: Simplify -1 into -1 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.263 * [backup-simplify]: Simplify -1/2 into -1/2 0.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [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 0.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [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 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.277 * [backup-simplify]: Simplify -1/3 into -1/3 0.278 * [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)))) 0.278 * * * [progress]: simplifying candidates 0.278 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.278 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.278 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.279 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.280 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.280 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.281 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.281 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.281 * [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)))) 0.283 * * [simplify]: iteration 1: (83 enodes) 0.322 * * [simplify]: iteration 2: (332 enodes) 0.400 * * [simplify]: iteration 3: (574 enodes) 0.627 * * [simplify]: iteration 4: (1143 enodes) 1.243 * * [simplify]: Extracting #0: cost 24 inf + 0 1.244 * * [simplify]: Extracting #1: cost 180 inf + 0 1.246 * * [simplify]: Extracting #2: cost 554 inf + 312 1.252 * * [simplify]: Extracting #3: cost 567 inf + 27578 1.287 * * [simplify]: Extracting #4: cost 257 inf + 112211 1.317 * * [simplify]: Extracting #5: cost 48 inf + 202464 1.365 * * [simplify]: Extracting #6: cost 0 inf + 225321 1.406 * [simplify]: Simplified to: (- (log1p N) (log N)) (- (log N) (log N)) (- (log1p N) (log N)) (- (log N) (log N)) (- (log1p N) (log N)) (- (log N) (log N)) (- (log1p N) (log N)) (- (log N) (log N)) (- (log1p N) (log N)) (- (log N) (log N)) (- (log1p N) (log N)) (- (log N) (log N)) (- (log1p N) (log N)) (- (log N) (log N)) (- (log1p N) (log N)) (- (log N) (log N)) (- (log1p N) (log N)) (- (log N) (log N)) (- (log1p N) (log N)) (- (log N) (log N)) (- (log1p N) (log N)) (- (log N) (log N)) (- (log1p N) (log N)) (- (log N) (log N)) (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)) (* (+ (log N) (log1p N)) (- (log1p N) (log N))) (+ (log N) (log1p N)) (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (- (log1p N) (log (cbrt N))) (log (cbrt N))) (- (log1p N) (log (sqrt N))) (- (log1p N) (log 1)) (- (log N)) (real->posit16 (- (log1p N) (log N))) (- N (fma (* N N) 1/2 (log N))) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) 1.409 * * * [progress]: adding candidates to table 1.779 * * [progress]: iteration 2 / 4 1.779 * * * [progress]: picking best candidate 1.792 * * * * [pick]: Picked # 1.793 * * * [progress]: localizing error 1.815 * * * [progress]: generating rewritten candidates 1.815 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.822 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.840 * * * [progress]: generating series expansions 1.841 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.841 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1.841 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1.841 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1.841 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.841 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.841 * [taylor]: Taking taylor expansion of N in N 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [taylor]: Taking taylor expansion of 1 in N 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [taylor]: Taking taylor expansion of N in N 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (+ 0 1) into 1 1.842 * [backup-simplify]: Simplify (/ 1 1) into 1 1.842 * [backup-simplify]: Simplify (log 1) into 0 1.842 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1.842 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.842 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.842 * [taylor]: Taking taylor expansion of N in N 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of 1 in N 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of N in N 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (+ 0 1) into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [backup-simplify]: Simplify (log 1) into 0 1.844 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.844 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.844 * [backup-simplify]: Simplify (+ 1 0) into 1 1.844 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.848 * [backup-simplify]: Simplify -1/2 into -1/2 1.848 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1.848 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1.848 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1.848 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1.848 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.848 * [taylor]: Taking taylor expansion of N in N 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.848 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.848 * [taylor]: Taking taylor expansion of N in N 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (/ 1 1) into 1 1.848 * [taylor]: Taking taylor expansion of 1 in N 1.848 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (+ 1 0) into 1 1.849 * [backup-simplify]: Simplify (* 0 1) into 0 1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.850 * [backup-simplify]: Simplify (+ 0 1) into 1 1.850 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.850 * [backup-simplify]: Simplify (log 1) into 0 1.850 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1.850 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.850 * [taylor]: Taking taylor expansion of N in N 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.850 * [taylor]: Taking taylor expansion of N in N 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (/ 1 1) into 1 1.851 * [taylor]: Taking taylor expansion of 1 in N 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (+ 1 0) into 1 1.851 * [backup-simplify]: Simplify (* 0 1) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (+ 0 1) into 1 1.852 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.853 * [backup-simplify]: Simplify (log 1) into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.855 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.861 * [backup-simplify]: Simplify -1/2 into -1/2 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.868 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1.868 * [backup-simplify]: Simplify 1/3 into 1/3 1.869 * [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)))) 1.869 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1.869 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1.869 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1.869 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.869 * [taylor]: Taking taylor expansion of -1 in N 1.869 * [backup-simplify]: Simplify -1 into -1 1.869 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.869 * [taylor]: Taking taylor expansion of N in N 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 1 into 1 1.869 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.869 * [taylor]: Taking taylor expansion of 1 in N 1.869 * [backup-simplify]: Simplify 1 into 1 1.869 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.869 * [taylor]: Taking taylor expansion of N in N 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify (/ 1 1) into 1 1.870 * [backup-simplify]: Simplify (- 1) into -1 1.870 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.871 * [backup-simplify]: Simplify (* 0 -1) into 0 1.871 * [backup-simplify]: Simplify (* -1 0) into 0 1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify (- 0) into 0 1.873 * [backup-simplify]: Simplify (+ 1 0) into 1 1.873 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.874 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.874 * [backup-simplify]: Simplify (log 1) into 0 1.874 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1.874 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.874 * [taylor]: Taking taylor expansion of -1 in N 1.874 * [backup-simplify]: Simplify -1 into -1 1.875 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.875 * [taylor]: Taking taylor expansion of N in N 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.875 * [taylor]: Taking taylor expansion of 1 in N 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.875 * [taylor]: Taking taylor expansion of N in N 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (/ 1 1) into 1 1.875 * [backup-simplify]: Simplify (- 1) into -1 1.875 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.876 * [backup-simplify]: Simplify (* 0 -1) into 0 1.876 * [backup-simplify]: Simplify (* -1 0) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (- 0) into 0 1.877 * [backup-simplify]: Simplify (+ 1 0) into 1 1.877 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.878 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.878 * [backup-simplify]: Simplify (log 1) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (- 0) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1.880 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1.881 * [backup-simplify]: Simplify -1 into -1 1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.882 * [backup-simplify]: Simplify (- 0) into 0 1.882 * [backup-simplify]: Simplify (+ 0 0) into 0 1.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1.884 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1.885 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.885 * [backup-simplify]: Simplify -1/2 into -1/2 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (- 0) into 0 1.886 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.889 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1.892 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1.892 * [backup-simplify]: Simplify -1/3 into -1/3 1.892 * [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)))) 1.892 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.892 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1.892 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1.892 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.892 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.892 * [taylor]: Taking taylor expansion of N in N 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [taylor]: Taking taylor expansion of 1 in N 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [taylor]: Taking taylor expansion of N in N 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (+ 0 1) into 1 1.893 * [backup-simplify]: Simplify (/ 1 1) into 1 1.893 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.893 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.893 * [taylor]: Taking taylor expansion of N in N 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [taylor]: Taking taylor expansion of 1 in N 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [taylor]: Taking taylor expansion of N in N 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (+ 0 1) into 1 1.893 * [backup-simplify]: Simplify (/ 1 1) into 1 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (+ 1 0) into 1 1.894 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.894 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (+ 0 0) into 0 1.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.901 * [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 1.901 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.903 * [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 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1.903 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1.903 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1.903 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.903 * [taylor]: Taking taylor expansion of N in N 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.904 * [taylor]: Taking taylor expansion of N in N 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (/ 1 1) into 1 1.904 * [taylor]: Taking taylor expansion of 1 in N 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.904 * [taylor]: Taking taylor expansion of N in N 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.904 * [taylor]: Taking taylor expansion of N in N 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (/ 1 1) into 1 1.905 * [taylor]: Taking taylor expansion of 1 in N 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (+ 1 0) into 1 1.906 * [backup-simplify]: Simplify (* 0 1) into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (+ 0 1) into 1 1.908 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.908 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.910 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (+ 0 0) into 0 1.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ 0 0) into 0 1.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.922 * [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 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [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 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1.928 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1.928 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1.928 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.928 * [taylor]: Taking taylor expansion of -1 in N 1.928 * [backup-simplify]: Simplify -1 into -1 1.928 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.928 * [taylor]: Taking taylor expansion of 1 in N 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (/ 1 1) into 1 1.928 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.928 * [taylor]: Taking taylor expansion of -1 in N 1.928 * [backup-simplify]: Simplify -1 into -1 1.928 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.928 * [taylor]: Taking taylor expansion of 1 in N 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (/ 1 1) into 1 1.929 * [backup-simplify]: Simplify (- 1) into -1 1.929 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.929 * [backup-simplify]: Simplify (* 0 -1) into 0 1.930 * [backup-simplify]: Simplify (* -1 0) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ 1 0) into 1 1.931 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.931 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.931 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (- 0) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1.934 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1.934 * [backup-simplify]: Simplify -1 into -1 1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (- 0) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (- 0) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.939 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (- 0) into 0 1.940 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.942 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.947 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.948 * [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 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.952 * [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 1.952 * [backup-simplify]: Simplify (- 0) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1.955 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1.955 * * * [progress]: simplifying candidates 1.955 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 1.955 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 1.955 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 1.955 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 1.955 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 1.955 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 1.955 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 1.955 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 1.956 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 1.956 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 1.957 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 1.958 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 1.958 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 1.958 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 1.958 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 1.958 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 1.958 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 1.958 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 1.958 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 1.959 * [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) 1.960 * * [simplify]: iteration 1: (106 enodes) 1.991 * * [simplify]: iteration 2: (412 enodes) 2.095 * * [simplify]: iteration 3: (801 enodes) 2.393 * * [simplify]: iteration 4: (1788 enodes) 3.663 * * [simplify]: Extracting #0: cost 69 inf + 0 3.664 * * [simplify]: Extracting #1: cost 377 inf + 2 3.668 * * [simplify]: Extracting #2: cost 745 inf + 12840 3.690 * * [simplify]: Extracting #3: cost 453 inf + 82748 3.724 * * [simplify]: Extracting #4: cost 111 inf + 168348 3.797 * * [simplify]: Extracting #5: cost 10 inf + 214188 3.852 * * [simplify]: Extracting #6: cost 0 inf + 220338 3.915 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1) N))) (log1p (log (/ (+ N 1) N))) (+ (log (cbrt (/ (+ N 1) N))) (log (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (+ (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (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)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (expm1 (/ (+ N 1) N)) (log1p (/ (+ N 1) N)) (log (/ (+ N 1) N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- (+ N 1)) (- 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 (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (/ (+ N 1) (cbrt N)) (cbrt N)) (/ (+ N 1) (sqrt N)) (+ N 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (fma (- (* N N) N) N N) (- N (* N N)) (real->posit16 (/ (+ N 1) N)) (- N (fma 1/2 (* N N) (log N))) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 3.918 * * * [progress]: adding candidates to table 4.523 * * [progress]: iteration 3 / 4 4.523 * * * [progress]: picking best candidate 4.541 * * * * [pick]: Picked # 4.541 * * * [progress]: localizing error 4.577 * * * [progress]: generating rewritten candidates 4.577 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.633 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.648 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.677 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 4.709 * * * [progress]: generating series expansions 4.709 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.709 * [backup-simplify]: Simplify (+ (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N)))) into (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) 4.709 * [approximate]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in (N) around 0 4.709 * [taylor]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in N 4.709 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) in N 4.709 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in N 4.709 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 4.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 4.710 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 4.710 * [taylor]: Taking taylor expansion of 1/3 in N 4.710 * [backup-simplify]: Simplify 1/3 into 1/3 4.710 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 4.710 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.710 * [taylor]: Taking taylor expansion of N in N 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [taylor]: Taking taylor expansion of 1 in N 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (+ 0 1) into 1 4.710 * [backup-simplify]: Simplify (log 1) into 0 4.711 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.711 * [backup-simplify]: Simplify (+ 1 0) into 1 4.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.712 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.712 * [backup-simplify]: Simplify (exp 0) into 1 4.712 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.712 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.712 * [taylor]: Taking taylor expansion of N in N 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (/ 1 1) into 1 4.713 * [backup-simplify]: Simplify (sqrt 0) into 0 4.714 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.715 * [backup-simplify]: Simplify (* 1 0) into 0 4.716 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 4.718 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1/3 0)) into (- +nan.0) 4.718 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.718 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))) in N 4.718 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 4.719 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 4.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 4.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 4.719 * [taylor]: Taking taylor expansion of 1/3 in N 4.719 * [backup-simplify]: Simplify 1/3 into 1/3 4.719 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 4.719 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 4.719 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.719 * [taylor]: Taking taylor expansion of N in N 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [taylor]: Taking taylor expansion of 1 in N 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify (+ 0 1) into 1 4.720 * [backup-simplify]: Simplify (* 1 1) into 1 4.720 * [backup-simplify]: Simplify (log 1) into 0 4.721 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.721 * [backup-simplify]: Simplify (+ 1 0) into 1 4.722 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 4.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 4.724 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 4.724 * [backup-simplify]: Simplify (exp 0) into 1 4.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.724 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.724 * [taylor]: Taking taylor expansion of N in N 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 1 into 1 4.725 * [backup-simplify]: Simplify (/ 1 1) into 1 4.725 * [backup-simplify]: Simplify (sqrt 0) into 0 4.727 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.727 * [backup-simplify]: Simplify (* 1 0) into 0 4.728 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 4.730 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 4.731 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.731 * [taylor]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in N 4.731 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) in N 4.731 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in N 4.731 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 4.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 4.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 4.731 * [taylor]: Taking taylor expansion of 1/3 in N 4.731 * [backup-simplify]: Simplify 1/3 into 1/3 4.731 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 4.731 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.731 * [taylor]: Taking taylor expansion of N in N 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.731 * [taylor]: Taking taylor expansion of 1 in N 4.731 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (+ 0 1) into 1 4.732 * [backup-simplify]: Simplify (log 1) into 0 4.732 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.733 * [backup-simplify]: Simplify (+ 1 0) into 1 4.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.735 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.735 * [backup-simplify]: Simplify (exp 0) into 1 4.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.735 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.735 * [taylor]: Taking taylor expansion of N in N 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [backup-simplify]: Simplify (/ 1 1) into 1 4.736 * [backup-simplify]: Simplify (sqrt 0) into 0 4.737 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.738 * [backup-simplify]: Simplify (* 1 0) into 0 4.739 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 4.741 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1/3 0)) into (- +nan.0) 4.741 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.741 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))) in N 4.741 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 4.741 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 4.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 4.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 4.742 * [taylor]: Taking taylor expansion of 1/3 in N 4.742 * [backup-simplify]: Simplify 1/3 into 1/3 4.742 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 4.742 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 4.742 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.742 * [taylor]: Taking taylor expansion of N in N 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [taylor]: Taking taylor expansion of 1 in N 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (+ 0 1) into 1 4.743 * [backup-simplify]: Simplify (* 1 1) into 1 4.743 * [backup-simplify]: Simplify (log 1) into 0 4.743 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.744 * [backup-simplify]: Simplify (+ 1 0) into 1 4.744 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 4.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 4.747 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 4.747 * [backup-simplify]: Simplify (exp 0) into 1 4.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.747 * [taylor]: Taking taylor expansion of N in N 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [backup-simplify]: Simplify (/ 1 1) into 1 4.747 * [backup-simplify]: Simplify (sqrt 0) into 0 4.749 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.749 * [backup-simplify]: Simplify (* 1 0) into 0 4.750 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 4.752 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 4.753 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.755 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log (- +nan.0))) into (* 2 (log (- +nan.0))) 4.757 * [backup-simplify]: Simplify (* 2 (log (- +nan.0))) into (* 2 (log (- +nan.0))) 4.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.761 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.762 * [backup-simplify]: Simplify (+ 0 0) into 0 4.765 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.766 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 4.768 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 4.771 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1/3 +nan.0) (* -1/9 0))) into (- +nan.0) 4.780 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 4.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.784 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.785 * [backup-simplify]: Simplify (+ 0 0) into 0 4.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 4.789 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 4.790 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 0))) into -1/3 4.792 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9 4.800 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (* -1/9 0))) into (- +nan.0) 4.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 4.809 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.809 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.815 * [backup-simplify]: Simplify (+ 0 0) into 0 4.820 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 4.822 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 4.825 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 1/9 1) 1)))) into 5/81 4.831 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1/3 +nan.0) (+ (* -1/9 +nan.0) (* 5/81 0)))) into (- +nan.0) 4.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 4.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.855 * [backup-simplify]: Simplify (+ 0 0) into 0 4.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.861 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 4.863 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 0)))) into 2/9 4.866 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 2/9 1) 1)))) into 4/81 4.872 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (+ (* -1/9 +nan.0) (* 4/81 0)))) into (- +nan.0) 4.890 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 4.891 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.891 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.894 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (* 2 (log (- +nan.0))))) into (- (* 2 (log (- +nan.0))) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 4.894 * [backup-simplify]: Simplify (+ (log (/ (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) (sqrt (/ 1 N)))) (log (/ (cbrt (+ 1 (/ 1 N))) (sqrt (/ 1 N))))) into (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) 4.895 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) in (N) around 0 4.895 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) in N 4.895 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) in N 4.895 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 4.895 * [taylor]: Taking taylor expansion of (sqrt N) in N 4.895 * [taylor]: Taking taylor expansion of N in N 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (sqrt 0) into 0 4.897 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.897 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 4.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 4.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 4.897 * [taylor]: Taking taylor expansion of 1/3 in N 4.897 * [backup-simplify]: Simplify 1/3 into 1/3 4.897 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 4.897 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 4.897 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.897 * [taylor]: Taking taylor expansion of N in N 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (/ 1 1) into 1 4.897 * [taylor]: Taking taylor expansion of 1 in N 4.897 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (+ 1 0) into 1 4.898 * [backup-simplify]: Simplify (* 1 1) into 1 4.899 * [backup-simplify]: Simplify (log 1) into 0 4.899 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.899 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.899 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.899 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 4.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.901 * [backup-simplify]: Simplify (+ 0 1) into 1 4.901 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 4.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 4.903 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.904 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 4.904 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 4.905 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 4.905 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 4.905 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3))) in N 4.905 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in N 4.905 * [taylor]: Taking taylor expansion of (sqrt N) in N 4.905 * [taylor]: Taking taylor expansion of N in N 4.905 * [backup-simplify]: Simplify 0 into 0 4.905 * [backup-simplify]: Simplify 1 into 1 4.906 * [backup-simplify]: Simplify (sqrt 0) into 0 4.907 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.907 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 4.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 4.907 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 4.907 * [taylor]: Taking taylor expansion of 1/3 in N 4.907 * [backup-simplify]: Simplify 1/3 into 1/3 4.907 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.907 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.907 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.907 * [taylor]: Taking taylor expansion of N in N 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (/ 1 1) into 1 4.908 * [taylor]: Taking taylor expansion of 1 in N 4.908 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (+ 1 0) into 1 4.908 * [backup-simplify]: Simplify (log 1) into 0 4.909 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.909 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.909 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.909 * [backup-simplify]: Simplify (* 0 (pow N -1/3)) into 0 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (+ 0 1) into 1 4.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.912 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.913 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 4.914 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 4.914 * [backup-simplify]: Simplify (+ (* 0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 4.914 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) 4.914 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) in N 4.914 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) in N 4.914 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 4.914 * [taylor]: Taking taylor expansion of (sqrt N) in N 4.914 * [taylor]: Taking taylor expansion of N in N 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 1 into 1 4.915 * [backup-simplify]: Simplify (sqrt 0) into 0 4.916 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.916 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 4.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 4.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 4.916 * [taylor]: Taking taylor expansion of 1/3 in N 4.916 * [backup-simplify]: Simplify 1/3 into 1/3 4.916 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 4.917 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 4.917 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.917 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.917 * [taylor]: Taking taylor expansion of N in N 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 1 into 1 4.917 * [backup-simplify]: Simplify (/ 1 1) into 1 4.917 * [taylor]: Taking taylor expansion of 1 in N 4.917 * [backup-simplify]: Simplify 1 into 1 4.918 * [backup-simplify]: Simplify (+ 1 0) into 1 4.918 * [backup-simplify]: Simplify (* 1 1) into 1 4.918 * [backup-simplify]: Simplify (log 1) into 0 4.919 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.919 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.919 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.919 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 4.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.921 * [backup-simplify]: Simplify (+ 0 1) into 1 4.921 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 4.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 4.923 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.924 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 4.924 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 4.925 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 4.925 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 4.925 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3))) in N 4.925 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in N 4.925 * [taylor]: Taking taylor expansion of (sqrt N) 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 (sqrt 0) into 0 4.927 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.927 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 4.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 4.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 4.927 * [taylor]: Taking taylor expansion of 1/3 in N 4.927 * [backup-simplify]: Simplify 1/3 into 1/3 4.927 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.927 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.927 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.927 * [taylor]: Taking taylor expansion of N in N 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (/ 1 1) into 1 4.928 * [taylor]: Taking taylor expansion of 1 in N 4.928 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (+ 1 0) into 1 4.928 * [backup-simplify]: Simplify (log 1) into 0 4.929 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.929 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.929 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.929 * [backup-simplify]: Simplify (* 0 (pow N -1/3)) into 0 4.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.931 * [backup-simplify]: Simplify (+ 0 1) into 1 4.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.932 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.933 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 4.934 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 4.934 * [backup-simplify]: Simplify (+ (* 0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 4.934 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) 4.935 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) into (+ (log N) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) 4.936 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- (* +nan.0 (pow (/ 1 N) 1/3))))) into (+ (log N) (log (- (* +nan.0 (pow (/ 1 N) 1/3))))) 4.936 * [backup-simplify]: Simplify (+ (+ (log N) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (+ (log N) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) into (+ (* 2 (log N)) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) 4.936 * [backup-simplify]: Simplify (+ (* 2 (log N)) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) into (+ (* 2 (log N)) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) 4.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (+ 0 0) into 0 4.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 4.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 4.942 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.943 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 4.945 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 4.951 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.951 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3)))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 4.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 1)))) 1) into +nan.0 4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.953 * [backup-simplify]: Simplify (+ 0 0) into 0 4.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.957 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.958 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 4.959 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 4.963 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.963 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3)))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 4.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 N) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 N) 1/3))) 1)))) 1) into +nan.0 4.964 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.964 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.965 * [backup-simplify]: Simplify (+ 0 0) into 0 4.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.968 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 4.968 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.969 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 (- (* 2 (log N))))))) into 2/9 4.971 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 2/9 1) 1)))) into (* 4/81 (pow (/ 1 (pow N 2)) 1/3)) 4.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.974 * [backup-simplify]: Simplify (+ (* 0 (* 4/81 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 4.974 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 1)))) 2) into +nan.0 4.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify (+ 0 0) into 0 4.978 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 4.978 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.979 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log N)))))) into 1/9 4.981 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/9 1) 1)))) into (* 5/81 (pow (/ 1 N) 1/3)) 4.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.984 * [backup-simplify]: Simplify (+ (* 0 (* 5/81 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 4.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 N) 1/3)))) 2)) (pow (- (* +nan.0 (pow (/ 1 N) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 N) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 N) 1/3))) 1)))) 2) into +nan.0 4.985 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.985 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.986 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (* 2 (log (/ 1 N))) (+ (log (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 (/ 1 N)) 1/3)))))))) into (- (+ (* 2 (log (/ 1 N))) (+ (log (- (* +nan.0 (pow N 1/3)))) (log (- (* +nan.0 (pow (pow N 2) 1/3)))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 4.986 * [backup-simplify]: Simplify (+ (log (/ (* (cbrt (+ 1 (/ 1 (- N)))) (cbrt (+ 1 (/ 1 (- N))))) (sqrt (/ 1 (- N))))) (log (/ (cbrt (+ 1 (/ 1 (- N)))) (sqrt (/ 1 (- N)))))) into (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) 4.986 * [approximate]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) in (N) around 0 4.986 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) in N 4.986 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 4.986 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 4.986 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 4.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 4.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 4.986 * [taylor]: Taking taylor expansion of 1/3 in N 4.986 * [backup-simplify]: Simplify 1/3 into 1/3 4.986 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 4.986 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 4.986 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.986 * [taylor]: Taking taylor expansion of 1 in N 4.986 * [backup-simplify]: Simplify 1 into 1 4.986 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.986 * [taylor]: Taking taylor expansion of N in N 4.986 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify 1 into 1 4.987 * [backup-simplify]: Simplify (/ 1 1) into 1 4.987 * [backup-simplify]: Simplify (- 1) into -1 4.987 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.987 * [backup-simplify]: Simplify (* -1 -1) into 1 4.988 * [backup-simplify]: Simplify (log 1) into 0 4.988 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.988 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.988 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.988 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 4.988 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.988 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.988 * [taylor]: Taking taylor expansion of -1 in N 4.988 * [backup-simplify]: Simplify -1 into -1 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 4.989 * [backup-simplify]: Simplify (sqrt 0) into 0 4.990 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.990 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 4.990 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 4.990 * [backup-simplify]: Simplify (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 4.990 * [taylor]: Taking taylor expansion of (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 4.990 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 4.990 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 4.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 4.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 4.990 * [taylor]: Taking taylor expansion of 1/3 in N 4.990 * [backup-simplify]: Simplify 1/3 into 1/3 4.990 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 4.990 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.990 * [taylor]: Taking taylor expansion of 1 in N 4.990 * [backup-simplify]: Simplify 1 into 1 4.990 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.990 * [taylor]: Taking taylor expansion of N in N 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (/ 1 1) into 1 4.991 * [backup-simplify]: Simplify (- 1) into -1 4.991 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.991 * [backup-simplify]: Simplify (log -1) into (log -1) 4.992 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.992 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 4.993 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 4.993 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 4.993 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.993 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.993 * [taylor]: Taking taylor expansion of -1 in N 4.993 * [backup-simplify]: Simplify -1 into -1 4.993 * [taylor]: Taking taylor expansion of N in N 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 1 into 1 4.993 * [backup-simplify]: Simplify (/ -1 1) into -1 4.993 * [backup-simplify]: Simplify (sqrt 0) into 0 4.994 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.994 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 4.995 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 4.995 * [backup-simplify]: Simplify (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) into (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 4.995 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) in N 4.995 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 4.995 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 4.995 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 4.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 4.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 4.995 * [taylor]: Taking taylor expansion of 1/3 in N 4.995 * [backup-simplify]: Simplify 1/3 into 1/3 4.995 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 4.995 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 4.995 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.995 * [taylor]: Taking taylor expansion of 1 in N 4.995 * [backup-simplify]: Simplify 1 into 1 4.995 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.995 * [taylor]: Taking taylor expansion of N in N 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify 1 into 1 4.995 * [backup-simplify]: Simplify (/ 1 1) into 1 4.996 * [backup-simplify]: Simplify (- 1) into -1 4.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.996 * [backup-simplify]: Simplify (* -1 -1) into 1 4.997 * [backup-simplify]: Simplify (log 1) into 0 4.997 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.997 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.997 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.997 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 4.997 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.997 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.997 * [taylor]: Taking taylor expansion of -1 in N 4.997 * [backup-simplify]: Simplify -1 into -1 4.997 * [taylor]: Taking taylor expansion of N in N 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify 1 into 1 4.997 * [backup-simplify]: Simplify (/ -1 1) into -1 4.998 * [backup-simplify]: Simplify (sqrt 0) into 0 4.998 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.999 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 4.999 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 4.999 * [backup-simplify]: Simplify (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 4.999 * [taylor]: Taking taylor expansion of (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 4.999 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 4.999 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 4.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 4.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 4.999 * [taylor]: Taking taylor expansion of 1/3 in N 4.999 * [backup-simplify]: Simplify 1/3 into 1/3 4.999 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 4.999 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.999 * [taylor]: Taking taylor expansion of 1 in N 4.999 * [backup-simplify]: Simplify 1 into 1 4.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.999 * [taylor]: Taking taylor expansion of N in N 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify 1 into 1 4.999 * [backup-simplify]: Simplify (/ 1 1) into 1 5.000 * [backup-simplify]: Simplify (- 1) into -1 5.000 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.000 * [backup-simplify]: Simplify (log -1) into (log -1) 5.001 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.001 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.001 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.001 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.001 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.001 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.001 * [taylor]: Taking taylor expansion of -1 in N 5.001 * [backup-simplify]: Simplify -1 into -1 5.001 * [taylor]: Taking taylor expansion of N in N 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify 1 into 1 5.002 * [backup-simplify]: Simplify (/ -1 1) into -1 5.002 * [backup-simplify]: Simplify (sqrt 0) into 0 5.003 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.003 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.003 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 5.004 * [backup-simplify]: Simplify (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) into (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.004 * [backup-simplify]: Simplify (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) into (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 5.004 * [backup-simplify]: Simplify (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) into (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 5.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.007 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.008 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.009 * [backup-simplify]: Simplify (- 0) into 0 5.009 * [backup-simplify]: Simplify (+ 1 0) into 1 5.010 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 5.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 5.011 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.011 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log N))))) into (- 2/3) 5.012 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.012 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) +nan.0)) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 1)))) 1) into +nan.0 5.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.015 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.016 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.017 * [backup-simplify]: Simplify (- 0) into 0 5.017 * [backup-simplify]: Simplify (+ 1 0) into 1 5.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.018 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.019 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 5.020 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 5.021 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- +nan.0)) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) +nan.0)) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 1)) (pow (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 1)))) 1) into +nan.0 5.022 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.022 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.028 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (- 0) into 0 5.030 * [backup-simplify]: Simplify (+ 0 0) into 0 5.031 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 5.034 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.035 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.036 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.038 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.039 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (+ (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) (- +nan.0)) (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) +nan.0))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 1)))) 2) into +nan.0 5.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.051 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.053 * [backup-simplify]: Simplify (- 0) into 0 5.053 * [backup-simplify]: Simplify (+ 0 0) into 0 5.056 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.057 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.058 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 5.061 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 5.063 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- +nan.0)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (- +nan.0)) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) +nan.0))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.065 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 2)) (pow (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 1)) (pow (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 1)))) 2) into +nan.0 5.066 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.066 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.067 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))))))) into (- (+ (log (* +nan.0 (pow (pow N 2) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ -1 N)))))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.067 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.067 * [backup-simplify]: Simplify (/ (cbrt (+ 1 N)) (sqrt N)) into (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) 5.067 * [approximate]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in (N) around 0 5.067 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in N 5.068 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.068 * [taylor]: Taking taylor expansion of 1/3 in N 5.068 * [backup-simplify]: Simplify 1/3 into 1/3 5.068 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.068 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.068 * [taylor]: Taking taylor expansion of N in N 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.068 * [taylor]: Taking taylor expansion of 1 in N 5.068 * [backup-simplify]: Simplify 1 into 1 5.068 * [backup-simplify]: Simplify (+ 0 1) into 1 5.068 * [backup-simplify]: Simplify (log 1) into 0 5.068 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.069 * [backup-simplify]: Simplify (+ 1 0) into 1 5.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.070 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.070 * [backup-simplify]: Simplify (exp 0) into 1 5.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.070 * [taylor]: Taking taylor expansion of N in N 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [backup-simplify]: Simplify (/ 1 1) into 1 5.071 * [backup-simplify]: Simplify (sqrt 0) into 0 5.071 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.071 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in N 5.072 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.072 * [taylor]: Taking taylor expansion of 1/3 in N 5.072 * [backup-simplify]: Simplify 1/3 into 1/3 5.072 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.072 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.072 * [taylor]: Taking taylor expansion of N in N 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.072 * [taylor]: Taking taylor expansion of 1 in N 5.072 * [backup-simplify]: Simplify 1 into 1 5.072 * [backup-simplify]: Simplify (+ 0 1) into 1 5.072 * [backup-simplify]: Simplify (log 1) into 0 5.072 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.073 * [backup-simplify]: Simplify (+ 1 0) into 1 5.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.074 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.074 * [backup-simplify]: Simplify (exp 0) into 1 5.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.074 * [taylor]: Taking taylor expansion of N in N 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.074 * [backup-simplify]: Simplify (/ 1 1) into 1 5.074 * [backup-simplify]: Simplify (sqrt 0) into 0 5.075 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.076 * [backup-simplify]: Simplify (* 1 0) into 0 5.076 * [backup-simplify]: Simplify 0 into 0 5.076 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.077 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1/3 0)) into (- +nan.0) 5.078 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.080 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.080 * [backup-simplify]: Simplify (+ 0 0) into 0 5.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.082 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 5.083 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 5.085 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1/3 +nan.0) (* -1/9 0))) into (- +nan.0) 5.086 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.089 * [backup-simplify]: Simplify (+ 0 0) into 0 5.092 * [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 5.093 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 5.095 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 1/9 1) 1)))) into 5/81 5.098 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1/3 +nan.0) (+ (* -1/9 +nan.0) (* 5/81 0)))) into (- +nan.0) 5.098 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.099 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.100 * [backup-simplify]: Simplify (/ (cbrt (+ 1 (/ 1 N))) (sqrt (/ 1 N))) into (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) 5.100 * [approximate]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in (N) around 0 5.100 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in N 5.100 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.100 * [taylor]: Taking taylor expansion of N in N 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify (sqrt 0) into 0 5.102 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.102 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.102 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.102 * [taylor]: Taking taylor expansion of 1/3 in N 5.102 * [backup-simplify]: Simplify 1/3 into 1/3 5.102 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.102 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.102 * [taylor]: Taking taylor expansion of N in N 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [backup-simplify]: Simplify (/ 1 1) into 1 5.102 * [taylor]: Taking taylor expansion of 1 in N 5.102 * [backup-simplify]: Simplify 1 into 1 5.103 * [backup-simplify]: Simplify (+ 1 0) into 1 5.103 * [backup-simplify]: Simplify (log 1) into 0 5.104 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.104 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.104 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.104 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in N 5.104 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.104 * [taylor]: Taking taylor expansion of N in N 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [backup-simplify]: Simplify (sqrt 0) into 0 5.106 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.106 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.106 * [taylor]: Taking taylor expansion of 1/3 in N 5.106 * [backup-simplify]: Simplify 1/3 into 1/3 5.106 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.106 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.106 * [taylor]: Taking taylor expansion of N in N 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.106 * [backup-simplify]: Simplify (/ 1 1) into 1 5.106 * [taylor]: Taking taylor expansion of 1 in N 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (+ 1 0) into 1 5.107 * [backup-simplify]: Simplify (log 1) into 0 5.108 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.108 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.108 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.108 * [backup-simplify]: Simplify (* 0 (pow N -1/3)) into 0 5.108 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.109 * [backup-simplify]: Simplify (+ 0 1) into 1 5.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.111 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.112 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 5.113 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 5.113 * [backup-simplify]: Simplify (+ (* 0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.113 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 N) 1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.115 * [backup-simplify]: Simplify (+ 0 0) into 0 5.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.119 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.120 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 5.121 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 5.124 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.125 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3)))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.125 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 N) 1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.126 * [backup-simplify]: Simplify (+ 0 0) into 0 5.132 * [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 5.133 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.134 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log N)))))) into 1/9 5.137 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/9 1) 1)))) into (* 5/81 (pow (/ 1 N) 1/3)) 5.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.142 * [backup-simplify]: Simplify (+ (* 0 (* 5/81 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.142 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 N) 1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.143 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (/ 1 (/ 1 N)) 1/3))) (pow (/ 1 N) 3)) (+ (* (- (* +nan.0 (pow (/ 1 (/ 1 N)) 1/3))) (pow (/ 1 N) 2)) (* (- (* +nan.0 (pow (/ 1 (/ 1 N)) 1/3))) (/ 1 N)))) into (- (+ (* +nan.0 (pow (/ 1 (pow N 5)) 1/3)) (- (+ (* +nan.0 (pow (/ 1 (pow N 8)) 1/3)) (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))))) 5.143 * [backup-simplify]: Simplify (/ (cbrt (+ 1 (/ 1 (- N)))) (sqrt (/ 1 (- N)))) into (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) 5.143 * [approximate]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 5.143 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.143 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.143 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.143 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.143 * [taylor]: Taking taylor expansion of 1/3 in N 5.143 * [backup-simplify]: Simplify 1/3 into 1/3 5.143 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.143 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.143 * [taylor]: Taking taylor expansion of 1 in N 5.143 * [backup-simplify]: Simplify 1 into 1 5.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.144 * [taylor]: Taking taylor expansion of N in N 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [backup-simplify]: Simplify (/ 1 1) into 1 5.144 * [backup-simplify]: Simplify (- 1) into -1 5.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.145 * [backup-simplify]: Simplify (log -1) into (log -1) 5.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.147 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.147 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.147 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.147 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.147 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.147 * [taylor]: Taking taylor expansion of -1 in N 5.147 * [backup-simplify]: Simplify -1 into -1 5.147 * [taylor]: Taking taylor expansion of N in N 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 1 into 1 5.148 * [backup-simplify]: Simplify (/ -1 1) into -1 5.148 * [backup-simplify]: Simplify (sqrt 0) into 0 5.149 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.150 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.150 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.150 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.150 * [taylor]: Taking taylor expansion of 1/3 in N 5.150 * [backup-simplify]: Simplify 1/3 into 1/3 5.150 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.150 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.150 * [taylor]: Taking taylor expansion of 1 in N 5.150 * [backup-simplify]: Simplify 1 into 1 5.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.150 * [taylor]: Taking taylor expansion of N in N 5.150 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify 1 into 1 5.151 * [backup-simplify]: Simplify (/ 1 1) into 1 5.151 * [backup-simplify]: Simplify (- 1) into -1 5.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.152 * [backup-simplify]: Simplify (log -1) into (log -1) 5.153 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.153 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.154 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.154 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.154 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.154 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.154 * [taylor]: Taking taylor expansion of -1 in N 5.154 * [backup-simplify]: Simplify -1 into -1 5.154 * [taylor]: Taking taylor expansion of N in N 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify 1 into 1 5.154 * [backup-simplify]: Simplify (/ -1 1) into -1 5.155 * [backup-simplify]: Simplify (sqrt 0) into 0 5.156 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.157 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.157 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 5.158 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) into (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 5.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.164 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.165 * [backup-simplify]: Simplify (- 0) into 0 5.166 * [backup-simplify]: Simplify (+ 1 0) into 1 5.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.168 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.169 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 5.170 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 5.172 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- +nan.0)) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) +nan.0)) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.175 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.182 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.183 * [backup-simplify]: Simplify (- 0) into 0 5.183 * [backup-simplify]: Simplify (+ 0 0) into 0 5.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.186 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 5.188 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 5.189 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- +nan.0)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (- +nan.0)) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) +nan.0))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.189 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.190 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) (/ 1 (- N))) (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (- (+ (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (- (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))))))) 5.191 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.191 * [backup-simplify]: Simplify (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) into (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) 5.191 * [approximate]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in (N) around 0 5.191 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 5.191 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 5.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 5.191 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 5.191 * [taylor]: Taking taylor expansion of 1/3 in N 5.191 * [backup-simplify]: Simplify 1/3 into 1/3 5.191 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 5.191 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.191 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.191 * [taylor]: Taking taylor expansion of N in N 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.191 * [taylor]: Taking taylor expansion of 1 in N 5.191 * [backup-simplify]: Simplify 1 into 1 5.191 * [backup-simplify]: Simplify (+ 0 1) into 1 5.191 * [backup-simplify]: Simplify (* 1 1) into 1 5.192 * [backup-simplify]: Simplify (log 1) into 0 5.192 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.192 * [backup-simplify]: Simplify (+ 1 0) into 1 5.193 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.194 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 5.194 * [backup-simplify]: Simplify (exp 0) into 1 5.194 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.194 * [taylor]: Taking taylor expansion of N in N 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [backup-simplify]: Simplify (/ 1 1) into 1 5.194 * [backup-simplify]: Simplify (sqrt 0) into 0 5.195 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.195 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 5.195 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 5.195 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 5.195 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 5.195 * [taylor]: Taking taylor expansion of 1/3 in N 5.195 * [backup-simplify]: Simplify 1/3 into 1/3 5.195 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 5.195 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.195 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.195 * [taylor]: Taking taylor expansion of N in N 5.195 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify 1 into 1 5.196 * [taylor]: Taking taylor expansion of 1 in N 5.196 * [backup-simplify]: Simplify 1 into 1 5.196 * [backup-simplify]: Simplify (+ 0 1) into 1 5.196 * [backup-simplify]: Simplify (* 1 1) into 1 5.196 * [backup-simplify]: Simplify (log 1) into 0 5.197 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.197 * [backup-simplify]: Simplify (+ 1 0) into 1 5.197 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.198 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 5.198 * [backup-simplify]: Simplify (exp 0) into 1 5.198 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.198 * [taylor]: Taking taylor expansion of N in N 5.198 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (/ 1 1) into 1 5.199 * [backup-simplify]: Simplify (sqrt 0) into 0 5.200 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.200 * [backup-simplify]: Simplify (* 1 0) into 0 5.200 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 5.202 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 5.202 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.204 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.205 * [backup-simplify]: Simplify (+ 0 0) into 0 5.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.207 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.207 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 0))) into -1/3 5.208 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9 5.210 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (* -1/9 0))) into (- +nan.0) 5.211 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.216 * [backup-simplify]: Simplify (+ 0 0) into 0 5.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.221 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 5.222 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 0)))) into 2/9 5.224 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 2/9 1) 1)))) into 4/81 5.227 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (+ (* -1/9 +nan.0) (* 4/81 0)))) into (- +nan.0) 5.227 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.228 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.228 * [backup-simplify]: Simplify (/ (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) (sqrt (/ 1 N))) into (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) 5.228 * [approximate]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in (N) around 0 5.229 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 5.229 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.229 * [taylor]: Taking taylor expansion of N in N 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 1 into 1 5.229 * [backup-simplify]: Simplify (sqrt 0) into 0 5.230 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.230 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 5.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 5.230 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 5.230 * [taylor]: Taking taylor expansion of 1/3 in N 5.230 * [backup-simplify]: Simplify 1/3 into 1/3 5.230 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 5.230 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.230 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.230 * [taylor]: Taking taylor expansion of N in N 5.230 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [backup-simplify]: Simplify (/ 1 1) into 1 5.230 * [taylor]: Taking taylor expansion of 1 in N 5.230 * [backup-simplify]: Simplify 1 into 1 5.231 * [backup-simplify]: Simplify (+ 1 0) into 1 5.231 * [backup-simplify]: Simplify (* 1 1) into 1 5.231 * [backup-simplify]: Simplify (log 1) into 0 5.231 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.231 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.232 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.232 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 5.232 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.232 * [taylor]: Taking taylor expansion of N in N 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 1 into 1 5.232 * [backup-simplify]: Simplify (sqrt 0) into 0 5.233 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.233 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 5.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 5.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 5.233 * [taylor]: Taking taylor expansion of 1/3 in N 5.233 * [backup-simplify]: Simplify 1/3 into 1/3 5.233 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 5.233 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.233 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.233 * [taylor]: Taking taylor expansion of N in N 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [backup-simplify]: Simplify (/ 1 1) into 1 5.233 * [taylor]: Taking taylor expansion of 1 in N 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [backup-simplify]: Simplify (+ 1 0) into 1 5.234 * [backup-simplify]: Simplify (* 1 1) into 1 5.234 * [backup-simplify]: Simplify (log 1) into 0 5.234 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.234 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.234 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.234 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.235 * [backup-simplify]: Simplify (+ 0 1) into 1 5.236 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.237 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.237 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 5.238 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.238 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.238 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.239 * [backup-simplify]: Simplify (+ 0 0) into 0 5.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.241 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.241 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.242 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.243 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.245 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.245 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3)))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.245 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.246 * [backup-simplify]: Simplify (+ 0 0) into 0 5.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.249 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 5.249 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.250 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 (- (* 2 (log N))))))) into 2/9 5.252 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 2/9 1) 1)))) into (* 4/81 (pow (/ 1 (pow N 2)) 1/3)) 5.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.255 * [backup-simplify]: Simplify (+ (* 0 (* 4/81 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.255 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.256 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3))) (pow (/ 1 N) 3)) (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3))) (pow (/ 1 N) 2)) (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3))) (/ 1 N)))) into (- (+ (* +nan.0 (pow (/ 1 N) 1/3)) (- (+ (* +nan.0 (pow (/ 1 (pow N 7)) 1/3)) (- (* +nan.0 (pow (/ 1 (pow N 4)) 1/3))))))) 5.256 * [backup-simplify]: Simplify (/ (* (cbrt (+ 1 (/ 1 (- N)))) (cbrt (+ 1 (/ 1 (- N))))) (sqrt (/ 1 (- N)))) into (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) 5.256 * [approximate]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 5.256 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.256 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 5.256 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 5.256 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 5.256 * [taylor]: Taking taylor expansion of 1/3 in N 5.256 * [backup-simplify]: Simplify 1/3 into 1/3 5.256 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 5.256 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.256 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.256 * [taylor]: Taking taylor expansion of 1 in N 5.256 * [backup-simplify]: Simplify 1 into 1 5.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.256 * [taylor]: Taking taylor expansion of N in N 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 1 into 1 5.256 * [backup-simplify]: Simplify (/ 1 1) into 1 5.257 * [backup-simplify]: Simplify (- 1) into -1 5.257 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.257 * [backup-simplify]: Simplify (* -1 -1) into 1 5.257 * [backup-simplify]: Simplify (log 1) into 0 5.258 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.258 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.258 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.258 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.258 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.258 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.258 * [taylor]: Taking taylor expansion of -1 in N 5.258 * [backup-simplify]: Simplify -1 into -1 5.258 * [taylor]: Taking taylor expansion of N in N 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (/ -1 1) into -1 5.259 * [backup-simplify]: Simplify (sqrt 0) into 0 5.259 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.260 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.260 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.260 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 5.260 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 5.260 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 5.260 * [taylor]: Taking taylor expansion of 1/3 in N 5.260 * [backup-simplify]: Simplify 1/3 into 1/3 5.260 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 5.260 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.260 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.260 * [taylor]: Taking taylor expansion of 1 in N 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.260 * [taylor]: Taking taylor expansion of N in N 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify (/ 1 1) into 1 5.260 * [backup-simplify]: Simplify (- 1) into -1 5.261 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.261 * [backup-simplify]: Simplify (* -1 -1) into 1 5.261 * [backup-simplify]: Simplify (log 1) into 0 5.261 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.262 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.262 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.262 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.262 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.262 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.262 * [taylor]: Taking taylor expansion of -1 in N 5.262 * [backup-simplify]: Simplify -1 into -1 5.262 * [taylor]: Taking taylor expansion of N in N 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify 1 into 1 5.262 * [backup-simplify]: Simplify (/ -1 1) into -1 5.262 * [backup-simplify]: Simplify (sqrt 0) into 0 5.263 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.263 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.264 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 5.264 * [backup-simplify]: Simplify (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 5.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.266 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.269 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.270 * [backup-simplify]: Simplify (- 0) into 0 5.270 * [backup-simplify]: Simplify (+ 1 0) into 1 5.270 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 5.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 5.272 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.272 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log N))))) into (- 2/3) 5.273 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.273 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) +nan.0)) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.273 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.280 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.280 * [backup-simplify]: Simplify (- 0) into 0 5.281 * [backup-simplify]: Simplify (+ 0 0) into 0 5.281 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 5.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.283 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.284 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.285 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.286 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (+ (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) (- +nan.0)) (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) +nan.0))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.286 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.286 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3))) (pow (/ 1 (- N)) 2)) (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3))) (/ 1 (- N))) (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)))) into (- (+ (* +nan.0 (pow (pow N 2) 1/3)) (- (+ (* +nan.0 (pow (/ 1 N) 1/3)) (- (* +nan.0 (pow (/ 1 (pow N 4)) 1/3))))))) 5.286 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 5.287 * [backup-simplify]: Simplify (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) into (pow (pow (+ N 1) 2) 1/3) 5.287 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in (N) around 0 5.287 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 5.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 5.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 5.287 * [taylor]: Taking taylor expansion of 1/3 in N 5.287 * [backup-simplify]: Simplify 1/3 into 1/3 5.287 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 5.287 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.287 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.287 * [taylor]: Taking taylor expansion of N in N 5.287 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify 1 into 1 5.287 * [taylor]: Taking taylor expansion of 1 in N 5.287 * [backup-simplify]: Simplify 1 into 1 5.287 * [backup-simplify]: Simplify (+ 0 1) into 1 5.287 * [backup-simplify]: Simplify (* 1 1) into 1 5.288 * [backup-simplify]: Simplify (log 1) into 0 5.288 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.288 * [backup-simplify]: Simplify (+ 1 0) into 1 5.288 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.290 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 5.290 * [backup-simplify]: Simplify (exp 0) into 1 5.290 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 5.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 5.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 5.290 * [taylor]: Taking taylor expansion of 1/3 in N 5.290 * [backup-simplify]: Simplify 1/3 into 1/3 5.290 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 5.290 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.290 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.290 * [taylor]: Taking taylor expansion of N in N 5.290 * [backup-simplify]: Simplify 0 into 0 5.290 * [backup-simplify]: Simplify 1 into 1 5.290 * [taylor]: Taking taylor expansion of 1 in N 5.290 * [backup-simplify]: Simplify 1 into 1 5.290 * [backup-simplify]: Simplify (+ 0 1) into 1 5.290 * [backup-simplify]: Simplify (* 1 1) into 1 5.291 * [backup-simplify]: Simplify (log 1) into 0 5.291 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.291 * [backup-simplify]: Simplify (+ 1 0) into 1 5.292 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.293 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 5.293 * [backup-simplify]: Simplify (exp 0) into 1 5.293 * [backup-simplify]: Simplify 1 into 1 5.294 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 5.294 * [backup-simplify]: Simplify 2/3 into 2/3 5.294 * [backup-simplify]: Simplify (+ 0 0) into 0 5.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.297 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 0))) into -1/3 5.298 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9 5.298 * [backup-simplify]: Simplify -1/9 into -1/9 5.298 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 2/3 N) 1)) into (- (+ (* 2/3 N) 1) (* 1/9 (pow N 2))) 5.298 * [backup-simplify]: Simplify (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) into (pow (pow (+ (/ 1 N) 1) 2) 1/3) 5.298 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in (N) around 0 5.298 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 5.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 5.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 5.298 * [taylor]: Taking taylor expansion of 1/3 in N 5.298 * [backup-simplify]: Simplify 1/3 into 1/3 5.298 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 5.298 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.298 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.298 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.298 * [taylor]: Taking taylor expansion of N in N 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (/ 1 1) into 1 5.299 * [taylor]: Taking taylor expansion of 1 in N 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (+ 1 0) into 1 5.299 * [backup-simplify]: Simplify (* 1 1) into 1 5.300 * [backup-simplify]: Simplify (log 1) into 0 5.300 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.300 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.300 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.300 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 5.300 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 5.300 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 5.300 * [taylor]: Taking taylor expansion of 1/3 in N 5.300 * [backup-simplify]: Simplify 1/3 into 1/3 5.300 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 5.300 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.300 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.300 * [taylor]: Taking taylor expansion of N in N 5.300 * [backup-simplify]: Simplify 0 into 0 5.300 * [backup-simplify]: Simplify 1 into 1 5.300 * [backup-simplify]: Simplify (/ 1 1) into 1 5.300 * [taylor]: Taking taylor expansion of 1 in N 5.300 * [backup-simplify]: Simplify 1 into 1 5.301 * [backup-simplify]: Simplify (+ 1 0) into 1 5.301 * [backup-simplify]: Simplify (* 1 1) into 1 5.301 * [backup-simplify]: Simplify (log 1) into 0 5.302 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.302 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.302 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.302 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.303 * [backup-simplify]: Simplify (+ 0 1) into 1 5.303 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.304 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.305 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 5.305 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.305 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.306 * [backup-simplify]: Simplify (+ 0 0) into 0 5.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.310 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.311 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.313 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.313 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.313 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 2/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) 5.314 * [backup-simplify]: Simplify (* (cbrt (+ 1 (/ 1 (- N)))) (cbrt (+ 1 (/ 1 (- N))))) into (pow (pow (- 1 (/ 1 N)) 2) 1/3) 5.314 * [approximate]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in (N) around 0 5.314 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 5.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 5.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 5.314 * [taylor]: Taking taylor expansion of 1/3 in N 5.314 * [backup-simplify]: Simplify 1/3 into 1/3 5.314 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 5.314 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.314 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.314 * [taylor]: Taking taylor expansion of 1 in N 5.314 * [backup-simplify]: Simplify 1 into 1 5.314 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.314 * [taylor]: Taking taylor expansion of N in N 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.315 * [backup-simplify]: Simplify (/ 1 1) into 1 5.315 * [backup-simplify]: Simplify (- 1) into -1 5.315 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.316 * [backup-simplify]: Simplify (* -1 -1) into 1 5.316 * [backup-simplify]: Simplify (log 1) into 0 5.317 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.317 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.317 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.317 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 5.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 5.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 5.317 * [taylor]: Taking taylor expansion of 1/3 in N 5.317 * [backup-simplify]: Simplify 1/3 into 1/3 5.317 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 5.317 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.317 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.317 * [taylor]: Taking taylor expansion of 1 in N 5.317 * [backup-simplify]: Simplify 1 into 1 5.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.317 * [taylor]: Taking taylor expansion of N in N 5.317 * [backup-simplify]: Simplify 0 into 0 5.317 * [backup-simplify]: Simplify 1 into 1 5.318 * [backup-simplify]: Simplify (/ 1 1) into 1 5.318 * [backup-simplify]: Simplify (- 1) into -1 5.318 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.319 * [backup-simplify]: Simplify (* -1 -1) into 1 5.319 * [backup-simplify]: Simplify (log 1) into 0 5.320 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.320 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.320 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.320 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (- 0) into 0 5.322 * [backup-simplify]: Simplify (+ 1 0) into 1 5.323 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 5.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 5.324 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.325 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log N))))) into (- 2/3) 5.326 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.326 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.327 * [backup-simplify]: Simplify (- 0) into 0 5.328 * [backup-simplify]: Simplify (+ 0 0) into 0 5.329 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 5.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.332 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.333 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.335 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.335 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.336 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -2/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (- (+ (* 2/3 (pow (/ 1 N) 1/3)) (pow (/ -1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) 5.336 * * * [progress]: simplifying candidates 5.336 * * * * [progress]: [ 1 / 258 ] simplifiying candidate # 5.336 * * * * [progress]: [ 2 / 258 ] simplifiying candidate # 5.336 * * * * [progress]: [ 3 / 258 ] simplifiying candidate # 5.336 * * * * [progress]: [ 4 / 258 ] simplifiying candidate # 5.336 * * * * [progress]: [ 5 / 258 ] simplifiying candidate # 5.336 * * * * [progress]: [ 6 / 258 ] simplifiying candidate # 5.336 * * * * [progress]: [ 7 / 258 ] simplifiying candidate # 5.336 * * * * [progress]: [ 8 / 258 ] simplifiying candidate # 5.336 * * * * [progress]: [ 9 / 258 ] simplifiying candidate # 5.337 * * * * [progress]: [ 10 / 258 ] simplifiying candidate # 5.337 * * * * [progress]: [ 11 / 258 ] 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candidate # 5.339 * * * * [progress]: [ 43 / 258 ] simplifiying candidate # 5.339 * * * * [progress]: [ 44 / 258 ] simplifiying candidate # 5.339 * * * * [progress]: [ 45 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 46 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 47 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 48 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 49 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 50 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 51 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 52 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 53 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 54 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 55 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 56 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 57 / 258 ] simplifiying candidate # 5.340 * * * * [progress]: [ 58 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 59 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 60 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 61 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 62 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 63 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 64 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 65 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 66 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 67 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 68 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 69 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 70 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 71 / 258 ] simplifiying candidate # 5.341 * * * * [progress]: [ 72 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 73 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 74 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 75 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 76 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 77 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 78 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 79 / 258 ] simplifiying candidate #real (real->posit16 (+ (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N)))))))> 5.342 * * * * [progress]: [ 80 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 81 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 82 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 83 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 84 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 85 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 86 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 87 / 258 ] simplifiying candidate # 5.342 * * * * [progress]: [ 88 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 89 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 90 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 91 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 92 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 93 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 94 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 95 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 96 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 97 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 98 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 99 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 100 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 101 / 258 ] simplifiying candidate # 5.343 * * * * [progress]: [ 102 / 258 ] simplifiying candidate # 5.344 * * * * [progress]: 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5.346 * * * * [progress]: [ 134 / 258 ] simplifiying candidate # 5.346 * * * * [progress]: [ 135 / 258 ] simplifiying candidate # 5.346 * * * * [progress]: [ 136 / 258 ] simplifiying candidate # 5.346 * * * * [progress]: [ 137 / 258 ] simplifiying candidate # 5.346 * * * * [progress]: [ 138 / 258 ] simplifiying candidate # 5.346 * * * * [progress]: [ 139 / 258 ] simplifiying candidate # 5.346 * * * * [progress]: [ 140 / 258 ] simplifiying candidate # 5.346 * * * * [progress]: [ 141 / 258 ] simplifiying candidate # 5.346 * * * * [progress]: [ 142 / 258 ] simplifiying candidate # 5.346 * * * * [progress]: [ 143 / 258 ] simplifiying candidate # 5.346 * * * * [progress]: [ 144 / 258 ] simplifiying candidate # 5.346 * * * * [progress]: [ 145 / 258 ] simplifiying candidate # 5.347 * * * * [progress]: [ 146 / 258 ] simplifiying candidate # 5.347 * * * * [progress]: [ 147 / 258 ] simplifiying candidate # 5.347 * * * * [progress]: [ 148 / 258 ] simplifiying candidate # 5.347 * * * * [progress]: 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# 5.348 * * * * [progress]: [ 164 / 258 ] simplifiying candidate # 5.348 * * * * [progress]: [ 165 / 258 ] simplifiying candidate # 5.348 * * * * [progress]: [ 166 / 258 ] simplifiying candidate # 5.348 * * * * [progress]: [ 167 / 258 ] simplifiying candidate # 5.348 * * * * [progress]: [ 168 / 258 ] simplifiying candidate # 5.348 * * * * [progress]: [ 169 / 258 ] simplifiying candidate # 5.348 * * * * [progress]: [ 170 / 258 ] simplifiying candidate # 5.348 * * * * [progress]: [ 171 / 258 ] simplifiying candidate # 5.348 * * * * [progress]: [ 172 / 258 ] simplifiying candidate # 5.348 * * * * [progress]: [ 173 / 258 ] simplifiying candidate # 5.348 * * * * [progress]: [ 174 / 258 ] simplifiying candidate # 5.348 * * * * [progress]: [ 175 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 176 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 177 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 178 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 179 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 180 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 181 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 182 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 183 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 184 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 185 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 186 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 187 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 188 / 258 ] simplifiying candidate # 5.349 * * * * [progress]: [ 189 / 258 ] simplifiying candidate # 5.350 * * * * [progress]: [ 190 / 258 ] simplifiying candidate #real (real->posit16 (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))))) (log (/ (cbrt (+ 1 N)) (sqrt N)))))> 5.350 * * * * [progress]: [ 191 / 258 ] simplifiying candidate # 5.350 * * * * [progress]: [ 192 / 258 ] simplifiying candidate 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[progress]: [ 208 / 258 ] simplifiying candidate # 5.351 * * * * [progress]: [ 209 / 258 ] simplifiying candidate # 5.351 * * * * [progress]: [ 210 / 258 ] simplifiying candidate # 5.351 * * * * [progress]: [ 211 / 258 ] simplifiying candidate # 5.351 * * * * [progress]: [ 212 / 258 ] simplifiying candidate # 5.351 * * * * [progress]: [ 213 / 258 ] simplifiying candidate # 5.351 * * * * [progress]: [ 214 / 258 ] simplifiying candidate # 5.351 * * * * [progress]: [ 215 / 258 ] simplifiying candidate # 5.351 * * * * [progress]: [ 216 / 258 ] simplifiying candidate # 5.351 * * * * [progress]: [ 217 / 258 ] simplifiying candidate # 5.351 * * * * [progress]: [ 218 / 258 ] simplifiying candidate # 5.352 * * * * [progress]: [ 219 / 258 ] simplifiying candidate # 5.352 * * * * [progress]: [ 220 / 258 ] simplifiying candidate # 5.352 * * * * [progress]: [ 221 / 258 ] simplifiying candidate # 5.352 * * * * [progress]: [ 222 / 258 ] simplifiying candidate # 5.352 * * * * [progress]: [ 223 / 258 ] 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5.353 * * * * [progress]: [ 239 / 258 ] simplifiying candidate # 5.353 * * * * [progress]: [ 240 / 258 ] simplifiying candidate # 5.353 * * * * [progress]: [ 241 / 258 ] simplifiying candidate # 5.353 * * * * [progress]: [ 242 / 258 ] simplifiying candidate # 5.353 * * * * [progress]: [ 243 / 258 ] simplifiying candidate # 5.353 * * * * [progress]: [ 244 / 258 ] simplifiying candidate # 5.353 * * * * [progress]: [ 245 / 258 ] simplifiying candidate #real (real->posit16 (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N)))))> 5.353 * * * * [progress]: [ 246 / 258 ] simplifiying candidate # 5.353 * * * * [progress]: [ 247 / 258 ] simplifiying candidate # 5.353 * * * * [progress]: [ 248 / 258 ] simplifiying candidate # 5.354 * * * * [progress]: [ 249 / 258 ] simplifiying candidate # 5.354 * * * * [progress]: [ 250 / 258 ] simplifiying candidate # 5.354 * * * * [progress]: [ 251 / 258 ] simplifiying candidate # 5.354 * * * * [progress]: [ 252 / 258 ] simplifiying 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#0: cost 184 inf + 0 6.049 * * [simplify]: Extracting #1: cost 964 inf + 2 6.054 * * [simplify]: Extracting #2: cost 1464 inf + 1225 6.061 * * [simplify]: Extracting #3: cost 1426 inf + 32710 6.089 * * [simplify]: Extracting #4: cost 976 inf + 174787 6.146 * * [simplify]: Extracting #5: cost 390 inf + 419508 6.238 * * [simplify]: Extracting #6: cost 206 inf + 499494 6.342 * * [simplify]: Extracting #7: cost 133 inf + 525384 6.430 * * [simplify]: Extracting #8: cost 65 inf + 558231 6.538 * * [simplify]: Extracting #9: cost 13 inf + 584123 6.643 * * [simplify]: Extracting #10: cost 2 inf + 589820 6.776 * * [simplify]: Extracting #11: cost 0 inf + 591710 6.891 * [simplify]: Simplified to: (expm1 (+ (log (cbrt (+ N 1))) (+ (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))))) (log1p (+ (log (cbrt (+ N 1))) (+ (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))))) (* (* (/ (cbrt (+ N 1)) (sqrt N)) (cbrt (+ N 1))) (/ (cbrt (+ N 1)) (sqrt N))) (log (+ (log 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(+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (fma (* N N) N 1))) (* (cbrt (+ N 1)) (cbrt (- 1 (* N N)))) (* (cbrt (+ N 1)) (cbrt (fma (* N N) N 1))) (* (cbrt (+ N 1)) (cbrt (- 1 (* N N)))) (real->posit16 (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (fma (log (- +nan.0)) 2 (* N (- +nan.0))) (* (* N (- +nan.0)) N)) (- (fma (- (log N)) 2 (+ (log (* (- +nan.0) (cbrt N))) (log (- (* (cbrt (* N N)) +nan.0))))) (- (/ +nan.0 (* N N)) (/ +nan.0 N))) (+ (log +nan.0) (+ (* 1/3 (log (* N N))) (- (+ (log +nan.0) (* (- (log -1) (log (/ -1 N))) 1/3)) (- (/ +nan.0 (* N N)) (/ +nan.0 N))))) (- (+ (* +nan.0 (- N (* N N))) +nan.0)) (+ (* (cbrt (/ 1 (pow N 5))) (- +nan.0)) (* +nan.0 (- (cbrt (/ 1 (pow N 8))) (cbrt (/ (/ 1 N) N))))) (- (/ (* +nan.0 (- (exp (* (- (log -1) (log (/ -1 N))) 1/3)))) N) (+ (* +nan.0 (- (exp (* (- (log -1) (log (/ -1 N))) 1/3)))) (* (/ (exp (* (- (log -1) (log (/ -1 N))) 1/3)) (* N N)) +nan.0))) (- (+ (* +nan.0 (- N (* N N))) +nan.0)) (+ (* +nan.0 (- (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 (pow N 4))))) (* (- (cbrt (/ 1 N))) +nan.0)) (fma (- +nan.0) (cbrt (* N N)) (* +nan.0 (- (cbrt (/ 1 N)) (cbrt (/ 1 (pow N 4)))))) (fma 2/3 N (- 1 (* 1/9 (* N N)))) (fma (cbrt (/ 1 N)) 2/3 (- (pow (/ 1 N) -2/3) (* 1/9 (cbrt (/ 1 (pow N 4)))))) (- (fma 2/3 (cbrt (/ 1 N)) (pow (/ -1 N) -2/3)) (* 1/9 (cbrt (/ 1 (pow N 4))))) 6.914 * * * [progress]: adding candidates to table 10.267 * * [progress]: iteration 4 / 4 10.267 * * * [progress]: picking best candidate 10.306 * * * * [pick]: Picked # 10.306 * * * [progress]: localizing error 10.335 * * * [progress]: generating rewritten candidates 10.335 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 10.348 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 10.359 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 10.384 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 10.397 * * * [progress]: generating series expansions 10.397 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 10.398 * [backup-simplify]: Simplify (- (* (log1p N) (log1p N)) (* (log N) (log N))) into (- (pow (log1p N) 2) (pow (log N) 2)) 10.398 * [approximate]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in (N) around 0 10.398 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 10.398 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 10.398 * [taylor]: Taking taylor expansion of (log1p N) in N 10.398 * [taylor]: Rewrote expression to (log (+ 1 N)) 10.398 * [taylor]: Taking taylor expansion of (+ 1 N) in N 10.398 * [taylor]: Taking taylor expansion of 1 in N 10.398 * [backup-simplify]: Simplify 1 into 1 10.398 * [taylor]: Taking taylor expansion of N in N 10.398 * [backup-simplify]: Simplify 0 into 0 10.398 * [backup-simplify]: Simplify 1 into 1 10.399 * [backup-simplify]: Simplify (+ 1 0) into 1 10.399 * [backup-simplify]: Simplify (log 1) into 0 10.399 * [backup-simplify]: Simplify (+ 0 1) into 1 10.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.400 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 10.400 * [taylor]: Taking taylor expansion of (log N) in N 10.400 * [taylor]: Taking taylor expansion of N in N 10.400 * [backup-simplify]: Simplify 0 into 0 10.400 * [backup-simplify]: Simplify 1 into 1 10.400 * [backup-simplify]: Simplify (log 1) into 0 10.401 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.401 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 10.401 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 10.401 * [taylor]: Taking taylor expansion of (log1p N) in N 10.401 * [taylor]: Rewrote expression to (log (+ 1 N)) 10.401 * [taylor]: Taking taylor expansion of (+ 1 N) in N 10.401 * [taylor]: Taking taylor expansion of 1 in N 10.401 * [backup-simplify]: Simplify 1 into 1 10.401 * [taylor]: Taking taylor expansion of N in N 10.401 * [backup-simplify]: Simplify 0 into 0 10.401 * [backup-simplify]: Simplify 1 into 1 10.401 * [backup-simplify]: Simplify (+ 1 0) into 1 10.402 * [backup-simplify]: Simplify (log 1) into 0 10.402 * [backup-simplify]: Simplify (+ 0 1) into 1 10.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.403 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 10.403 * [taylor]: Taking taylor expansion of (log N) in N 10.403 * [taylor]: Taking taylor expansion of N in N 10.403 * [backup-simplify]: Simplify 0 into 0 10.403 * [backup-simplify]: Simplify 1 into 1 10.403 * [backup-simplify]: Simplify (log 1) into 0 10.403 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.404 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.404 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.404 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 10.404 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 10.404 * [backup-simplify]: Simplify (+ 0 (- (pow (log N) 2))) into (- (pow (log N) 2)) 10.404 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 10.404 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.405 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.406 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 10.406 * [backup-simplify]: Simplify (- 0) into 0 10.406 * [backup-simplify]: Simplify (+ 0 0) into 0 10.406 * [backup-simplify]: Simplify 0 into 0 10.406 * [backup-simplify]: Simplify (* 1 1) into 1 10.407 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.408 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.409 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.409 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 10.409 * [backup-simplify]: Simplify (- 0) into 0 10.409 * [backup-simplify]: Simplify (+ 1 0) into 1 10.409 * [backup-simplify]: Simplify 1 into 1 10.410 * [backup-simplify]: Simplify (+ 0 0) into 0 10.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.412 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 10.412 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.415 * [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 10.415 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.416 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 10.416 * [backup-simplify]: Simplify (- 0) into 0 10.416 * [backup-simplify]: Simplify (+ -1 0) into -1 10.416 * [backup-simplify]: Simplify -1 into -1 10.417 * [backup-simplify]: Simplify (+ (* -1 (pow N 3)) (+ (* 1 (pow N 2)) (- (pow (log N) 2)))) into (- (pow N 2) (+ (pow (log N) 2) (pow N 3))) 10.417 * [backup-simplify]: Simplify (- (* (log1p (/ 1 N)) (log1p (/ 1 N))) (* (log (/ 1 N)) (log (/ 1 N)))) into (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) 10.417 * [approximate]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in (N) around 0 10.417 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 10.417 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 10.417 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 10.417 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 10.417 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 10.417 * [taylor]: Taking taylor expansion of 1 in N 10.417 * [backup-simplify]: Simplify 1 into 1 10.417 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.417 * [taylor]: Taking taylor expansion of N in N 10.417 * [backup-simplify]: Simplify 0 into 0 10.417 * [backup-simplify]: Simplify 1 into 1 10.417 * [backup-simplify]: Simplify (/ 1 1) into 1 10.418 * [backup-simplify]: Simplify (+ 0 1) into 1 10.418 * [backup-simplify]: Simplify (log 1) into 0 10.418 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.418 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 10.418 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.418 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.418 * [taylor]: Taking taylor expansion of N in N 10.418 * [backup-simplify]: Simplify 0 into 0 10.418 * [backup-simplify]: Simplify 1 into 1 10.419 * [backup-simplify]: Simplify (/ 1 1) into 1 10.419 * [backup-simplify]: Simplify (log 1) into 0 10.419 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.419 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 10.419 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 10.419 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 10.419 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 10.419 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 10.419 * [taylor]: Taking taylor expansion of 1 in N 10.419 * [backup-simplify]: Simplify 1 into 1 10.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.419 * [taylor]: Taking taylor expansion of N in N 10.419 * [backup-simplify]: Simplify 0 into 0 10.419 * [backup-simplify]: Simplify 1 into 1 10.419 * [backup-simplify]: Simplify (/ 1 1) into 1 10.420 * [backup-simplify]: Simplify (+ 0 1) into 1 10.420 * [backup-simplify]: Simplify (log 1) into 0 10.420 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.420 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 10.420 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.420 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.420 * [taylor]: Taking taylor expansion of N in N 10.420 * [backup-simplify]: Simplify 0 into 0 10.420 * [backup-simplify]: Simplify 1 into 1 10.421 * [backup-simplify]: Simplify (/ 1 1) into 1 10.421 * [backup-simplify]: Simplify (log 1) into 0 10.421 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.422 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.422 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.422 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 10.422 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.422 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.423 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 10.423 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 10.423 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 10.423 * [backup-simplify]: Simplify 0 into 0 10.423 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.424 * [backup-simplify]: Simplify (+ 1 0) into 1 10.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.425 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.425 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 10.425 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.428 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.428 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 10.428 * [backup-simplify]: Simplify (- 0) into 0 10.428 * [backup-simplify]: Simplify (+ (- (* 2 (log N))) 0) into (- (* 2 (log N))) 10.429 * [backup-simplify]: Simplify (- (* 2 (log N))) into (- (* 2 (log N))) 10.429 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.430 * [backup-simplify]: Simplify (+ 0 0) into 0 10.433 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.434 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.434 * [backup-simplify]: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 10.435 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.438 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.439 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.439 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 10.439 * [backup-simplify]: Simplify (- 0) into 0 10.439 * [backup-simplify]: Simplify (+ (+ (log N) 1) 0) into (+ (log N) 1) 10.439 * [backup-simplify]: Simplify (+ (log N) 1) into (+ (log N) 1) 10.440 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.440 * [backup-simplify]: Simplify (+ 0 0) into 0 10.443 * [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 10.444 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.444 * [backup-simplify]: Simplify (+ (* (- (log N)) 1/3) (+ (* 1 -1/2) (+ (* -1/2 1) (* 1/3 (- (log N)))))) into (- (+ (* 2/3 (log N)) 1)) 10.445 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.448 * [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 10.448 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.449 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 10.449 * [backup-simplify]: Simplify (- 0) into 0 10.449 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1)) 0) into (- (+ (* 2/3 (log N)) 1)) 10.449 * [backup-simplify]: Simplify (- (+ (* 2/3 (log N)) 1)) into (- (+ (* 2/3 (log N)) 1)) 10.450 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (log (/ 1 N))) 1)) (pow (/ 1 N) 3)) (+ (* (+ (log (/ 1 N)) 1) (pow (/ 1 N) 2)) (* (- (* 2 (log (/ 1 N)))) (/ 1 N)))) into (- (+ (/ 1 (pow N 2)) (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (* 2 (/ (log (/ 1 N)) N))))) 10.450 * [backup-simplify]: Simplify (- (* (log1p (/ 1 (- N))) (log1p (/ 1 (- N)))) (* (log (/ 1 (- N))) (log (/ 1 (- N))))) into (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) 10.450 * [approximate]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in (N) around 0 10.450 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 10.450 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 10.450 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.450 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.450 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.450 * [taylor]: Taking taylor expansion of 1 in N 10.450 * [backup-simplify]: Simplify 1 into 1 10.450 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.450 * [taylor]: Taking taylor expansion of -1 in N 10.450 * [backup-simplify]: Simplify -1 into -1 10.450 * [taylor]: Taking taylor expansion of N in N 10.450 * [backup-simplify]: Simplify 0 into 0 10.450 * [backup-simplify]: Simplify 1 into 1 10.451 * [backup-simplify]: Simplify (/ -1 1) into -1 10.451 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.451 * [backup-simplify]: Simplify (log -1) into (log -1) 10.452 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.452 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 10.452 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.452 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.452 * [taylor]: Taking taylor expansion of -1 in N 10.452 * [backup-simplify]: Simplify -1 into -1 10.452 * [taylor]: Taking taylor expansion of N in N 10.452 * [backup-simplify]: Simplify 0 into 0 10.452 * [backup-simplify]: Simplify 1 into 1 10.455 * [backup-simplify]: Simplify (/ -1 1) into -1 10.456 * [backup-simplify]: Simplify (log -1) into (log -1) 10.456 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.457 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 10.457 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 10.457 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.457 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.457 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.457 * [taylor]: Taking taylor expansion of 1 in N 10.457 * [backup-simplify]: Simplify 1 into 1 10.457 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.457 * [taylor]: Taking taylor expansion of -1 in N 10.457 * [backup-simplify]: Simplify -1 into -1 10.457 * [taylor]: Taking taylor expansion of N in N 10.457 * [backup-simplify]: Simplify 0 into 0 10.457 * [backup-simplify]: Simplify 1 into 1 10.457 * [backup-simplify]: Simplify (/ -1 1) into -1 10.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.458 * [backup-simplify]: Simplify (log -1) into (log -1) 10.458 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.458 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 10.458 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.458 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.458 * [taylor]: Taking taylor expansion of -1 in N 10.458 * [backup-simplify]: Simplify -1 into -1 10.458 * [taylor]: Taking taylor expansion of N in N 10.458 * [backup-simplify]: Simplify 0 into 0 10.458 * [backup-simplify]: Simplify 1 into 1 10.459 * [backup-simplify]: Simplify (/ -1 1) into -1 10.459 * [backup-simplify]: Simplify (log -1) into (log -1) 10.459 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.460 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.460 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.461 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 10.461 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.462 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.462 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 10.463 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 10.464 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 10.464 * [backup-simplify]: Simplify 0 into 0 10.465 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.465 * [backup-simplify]: Simplify (+ 1 0) into 1 10.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 10.467 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.467 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 10.468 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.470 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.470 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 10.471 * [backup-simplify]: Simplify (- 0) into 0 10.472 * [backup-simplify]: Simplify (+ (- (* 2 (log N)) (* 2 (log -1))) 0) into (- (* 2 (log N)) (* 2 (log -1))) 10.473 * [backup-simplify]: Simplify (- (* 2 (log N)) (* 2 (log -1))) into (- (* 2 (log N)) (* 2 (log -1))) 10.473 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.475 * [backup-simplify]: Simplify (+ 0 0) into 0 10.478 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 10.479 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.480 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 10.481 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.485 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.485 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.487 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 10.488 * [backup-simplify]: Simplify (- 0) into 0 10.488 * [backup-simplify]: Simplify (+ (- (+ (log N) 1) (log -1)) 0) into (- (+ (log N) 1) (log -1)) 10.488 * [backup-simplify]: Simplify (- (+ (log N) 1) (log -1)) into (- (+ (log N) 1) (log -1)) 10.489 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.491 * [backup-simplify]: Simplify (+ 0 0) into 0 10.496 * [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 10.498 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.500 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/3) (+ (* -1 -1/2) (+ (* -1/2 -1) (* -1/3 (- (log -1) (log N)))))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 10.500 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.507 * [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 10.508 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.510 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 10.510 * [backup-simplify]: Simplify (- 0) into 0 10.511 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 0) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 10.512 * [backup-simplify]: Simplify (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 10.515 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (log (/ 1 (- N)))) 1) (* 2/3 (log -1))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (log (/ 1 (- N))) 1) (log -1)) (pow (/ 1 (- N)) 2)) (* (- (* 2 (log (/ 1 (- N)))) (* 2 (log -1))) (/ 1 (- N))))) into (- (+ (* 2 (/ (log -1) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ -1 N)) (pow N 2)) (* 2/3 (/ (log -1) (pow N 3)))))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2 (/ (log (/ -1 N)) N)) (/ (log -1) (pow N 2)))))) 10.515 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 10.516 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 10.516 * [approximate]: Taking taylor expansion of (pow (log N) 2) in (N) around 0 10.516 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 10.516 * [taylor]: Taking taylor expansion of (log N) in N 10.516 * [taylor]: Taking taylor expansion of N in N 10.516 * [backup-simplify]: Simplify 0 into 0 10.516 * [backup-simplify]: Simplify 1 into 1 10.516 * [backup-simplify]: Simplify (log 1) into 0 10.516 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.516 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 10.516 * [taylor]: Taking taylor expansion of (log N) in N 10.516 * [taylor]: Taking taylor expansion of N in N 10.516 * [backup-simplify]: Simplify 0 into 0 10.516 * [backup-simplify]: Simplify 1 into 1 10.516 * [backup-simplify]: Simplify (log 1) into 0 10.517 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.517 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.517 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.517 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 10.517 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 10.518 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.519 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.519 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 10.519 * [backup-simplify]: Simplify 0 into 0 10.519 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.521 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.521 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 10.521 * [backup-simplify]: Simplify 0 into 0 10.522 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.524 * [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 10.525 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.525 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 10.525 * [backup-simplify]: Simplify 0 into 0 10.525 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.531 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 10.532 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.532 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 10.532 * [backup-simplify]: Simplify 0 into 0 10.533 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.542 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 10.542 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.544 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 10.544 * [backup-simplify]: Simplify 0 into 0 10.544 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.579 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 10.580 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.582 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 10.582 * [backup-simplify]: Simplify 0 into 0 10.582 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 10.582 * [backup-simplify]: Simplify (* (log (/ 1 N)) (log (/ 1 N))) into (pow (log (/ 1 N)) 2) 10.582 * [approximate]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in (N) around 0 10.582 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 10.582 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.582 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.582 * [taylor]: Taking taylor expansion of N in N 10.582 * [backup-simplify]: Simplify 0 into 0 10.582 * [backup-simplify]: Simplify 1 into 1 10.583 * [backup-simplify]: Simplify (/ 1 1) into 1 10.583 * [backup-simplify]: Simplify (log 1) into 0 10.583 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.583 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 10.584 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.584 * [taylor]: Taking taylor expansion of N in N 10.584 * [backup-simplify]: Simplify 0 into 0 10.584 * [backup-simplify]: Simplify 1 into 1 10.584 * [backup-simplify]: Simplify (/ 1 1) into 1 10.584 * [backup-simplify]: Simplify (log 1) into 0 10.585 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.585 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.586 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.586 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 10.586 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 10.586 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.589 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.589 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.589 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 10.589 * [backup-simplify]: Simplify 0 into 0 10.590 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.593 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.594 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.594 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 10.595 * [backup-simplify]: Simplify 0 into 0 10.595 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.601 * [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 10.601 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.602 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 10.602 * [backup-simplify]: Simplify 0 into 0 10.603 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.615 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 10.615 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.616 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 10.616 * [backup-simplify]: Simplify 0 into 0 10.617 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.627 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 10.627 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.628 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 10.628 * [backup-simplify]: Simplify 0 into 0 10.629 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.649 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 10.649 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.652 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 10.652 * [backup-simplify]: Simplify 0 into 0 10.652 * [backup-simplify]: Simplify (pow (log (/ 1 N)) 2) into (pow (log (/ 1 N)) 2) 10.652 * [backup-simplify]: Simplify (* (log (/ 1 (- N))) (log (/ 1 (- N)))) into (pow (log (/ -1 N)) 2) 10.652 * [approximate]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in (N) around 0 10.652 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 10.652 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.652 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.652 * [taylor]: Taking taylor expansion of -1 in N 10.652 * [backup-simplify]: Simplify -1 into -1 10.652 * [taylor]: Taking taylor expansion of N in N 10.652 * [backup-simplify]: Simplify 0 into 0 10.652 * [backup-simplify]: Simplify 1 into 1 10.653 * [backup-simplify]: Simplify (/ -1 1) into -1 10.653 * [backup-simplify]: Simplify (log -1) into (log -1) 10.654 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.654 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 10.654 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.654 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.654 * [taylor]: Taking taylor expansion of -1 in N 10.654 * [backup-simplify]: Simplify -1 into -1 10.654 * [taylor]: Taking taylor expansion of N in N 10.654 * [backup-simplify]: Simplify 0 into 0 10.654 * [backup-simplify]: Simplify 1 into 1 10.655 * [backup-simplify]: Simplify (/ -1 1) into -1 10.655 * [backup-simplify]: Simplify (log -1) into (log -1) 10.656 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.658 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 10.659 * [backup-simplify]: Simplify (pow (- (log -1) (log N)) 2) into (pow (- (log -1) (log N)) 2) 10.660 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.663 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.664 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 10.664 * [backup-simplify]: Simplify 0 into 0 10.665 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.669 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.670 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.671 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 10.671 * [backup-simplify]: Simplify 0 into 0 10.672 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.677 * [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 10.677 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.678 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 10.678 * [backup-simplify]: Simplify 0 into 0 10.679 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.686 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 10.686 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.688 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 10.688 * [backup-simplify]: Simplify 0 into 0 10.688 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.705 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 10.706 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.708 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 10.708 * [backup-simplify]: Simplify 0 into 0 10.709 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.737 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 10.737 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.739 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 10.739 * [backup-simplify]: Simplify 0 into 0 10.740 * [backup-simplify]: Simplify (pow (- (log -1) (log (/ 1 (- N)))) 2) into (pow (- (log -1) (log (/ -1 N))) 2) 10.740 * * * * [progress]: [ 3 / 4 ] generating series at (2) 10.740 * [backup-simplify]: Simplify (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))) into (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) 10.740 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) in (N) around 0 10.740 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) in N 10.740 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 10.740 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 10.740 * [taylor]: Taking taylor expansion of (log1p N) in N 10.740 * [taylor]: Rewrote expression to (log (+ 1 N)) 10.740 * [taylor]: Taking taylor expansion of (+ 1 N) in N 10.740 * [taylor]: Taking taylor expansion of 1 in N 10.740 * [backup-simplify]: Simplify 1 into 1 10.740 * [taylor]: Taking taylor expansion of N in N 10.740 * [backup-simplify]: Simplify 0 into 0 10.740 * [backup-simplify]: Simplify 1 into 1 10.740 * [backup-simplify]: Simplify (+ 1 0) into 1 10.741 * [backup-simplify]: Simplify (log 1) into 0 10.741 * [backup-simplify]: Simplify (+ 0 1) into 1 10.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.742 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 10.742 * [taylor]: Taking taylor expansion of (log N) in N 10.742 * [taylor]: Taking taylor expansion of N in N 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [backup-simplify]: Simplify 1 into 1 10.742 * [backup-simplify]: Simplify (log 1) into 0 10.742 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.742 * [taylor]: Taking taylor expansion of (+ (log N) (log1p N)) in N 10.742 * [taylor]: Taking taylor expansion of (log N) in N 10.742 * [taylor]: Taking taylor expansion of N in N 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [backup-simplify]: Simplify 1 into 1 10.743 * [backup-simplify]: Simplify (log 1) into 0 10.743 * [taylor]: Taking taylor expansion of (log1p N) in N 10.743 * [taylor]: Rewrote expression to (log (+ 1 N)) 10.743 * [taylor]: Taking taylor expansion of (+ 1 N) in N 10.743 * [taylor]: Taking taylor expansion of 1 in N 10.743 * [backup-simplify]: Simplify 1 into 1 10.743 * [taylor]: Taking taylor expansion of N in N 10.743 * [backup-simplify]: Simplify 0 into 0 10.743 * [backup-simplify]: Simplify 1 into 1 10.743 * [backup-simplify]: Simplify (+ 1 0) into 1 10.743 * [backup-simplify]: Simplify (log 1) into 0 10.744 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.744 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.744 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 10.744 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 10.744 * [backup-simplify]: Simplify (+ 0 (- (pow (log N) 2))) into (- (pow (log N) 2)) 10.744 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.744 * [backup-simplify]: Simplify (+ (log N) 0) into (log N) 10.744 * [backup-simplify]: Simplify (/ (- (pow (log N) 2)) (log N)) into (* -1 (log N)) 10.745 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) in N 10.745 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 10.745 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 10.745 * [taylor]: Taking taylor expansion of (log1p N) in N 10.745 * [taylor]: Rewrote expression to (log (+ 1 N)) 10.745 * [taylor]: Taking taylor expansion of (+ 1 N) in N 10.745 * [taylor]: Taking taylor expansion of 1 in N 10.745 * [backup-simplify]: Simplify 1 into 1 10.745 * [taylor]: Taking taylor expansion of N in N 10.745 * [backup-simplify]: Simplify 0 into 0 10.745 * [backup-simplify]: Simplify 1 into 1 10.745 * [backup-simplify]: Simplify (+ 1 0) into 1 10.745 * [backup-simplify]: Simplify (log 1) into 0 10.745 * [backup-simplify]: Simplify (+ 0 1) into 1 10.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.746 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 10.746 * [taylor]: Taking taylor expansion of (log N) in N 10.746 * [taylor]: Taking taylor expansion of N in N 10.746 * [backup-simplify]: Simplify 0 into 0 10.746 * [backup-simplify]: Simplify 1 into 1 10.747 * [backup-simplify]: Simplify (log 1) into 0 10.747 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.747 * [taylor]: Taking taylor expansion of (+ (log N) (log1p N)) in N 10.747 * [taylor]: Taking taylor expansion of (log N) in N 10.747 * [taylor]: Taking taylor expansion of N in N 10.747 * [backup-simplify]: Simplify 0 into 0 10.747 * [backup-simplify]: Simplify 1 into 1 10.747 * [backup-simplify]: Simplify (log 1) into 0 10.747 * [taylor]: Taking taylor expansion of (log1p N) in N 10.747 * [taylor]: Rewrote expression to (log (+ 1 N)) 10.747 * [taylor]: Taking taylor expansion of (+ 1 N) in N 10.747 * [taylor]: Taking taylor expansion of 1 in N 10.747 * [backup-simplify]: Simplify 1 into 1 10.747 * [taylor]: Taking taylor expansion of N in N 10.747 * [backup-simplify]: Simplify 0 into 0 10.747 * [backup-simplify]: Simplify 1 into 1 10.748 * [backup-simplify]: Simplify (+ 1 0) into 1 10.748 * [backup-simplify]: Simplify (log 1) into 0 10.748 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.748 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.748 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 10.749 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 10.749 * [backup-simplify]: Simplify (+ 0 (- (pow (log N) 2))) into (- (pow (log N) 2)) 10.749 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.749 * [backup-simplify]: Simplify (+ (log N) 0) into (log N) 10.749 * [backup-simplify]: Simplify (/ (- (pow (log N) 2)) (log N)) into (* -1 (log N)) 10.749 * [backup-simplify]: Simplify (* -1 (log N)) into (* -1 (log N)) 10.749 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.750 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.751 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 10.751 * [backup-simplify]: Simplify (- 0) into 0 10.751 * [backup-simplify]: Simplify (+ 0 0) into 0 10.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.752 * [backup-simplify]: Simplify (+ 0 1) into 1 10.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.753 * [backup-simplify]: Simplify (+ 0 1) into 1 10.753 * [backup-simplify]: Simplify (- (/ 0 (log N)) (+ (* (* -1 (log N)) (/ 1 (log N))))) into 1 10.753 * [backup-simplify]: Simplify 1 into 1 10.753 * [backup-simplify]: Simplify (* 1 1) into 1 10.754 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.756 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.756 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 10.756 * [backup-simplify]: Simplify (- 0) into 0 10.756 * [backup-simplify]: Simplify (+ 1 0) into 1 10.758 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.758 * [backup-simplify]: Simplify (+ 0 0) into 0 10.760 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.760 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 10.760 * [backup-simplify]: Simplify (- (/ 1 (log N)) (+ (* (* -1 (log N)) (/ -1/2 (log N))) (* 1 (/ 1 (log N))))) into (- 1/2) 10.760 * [backup-simplify]: Simplify (- 1/2) into -1/2 10.761 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (* -1 (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 10.761 * [backup-simplify]: Simplify (/ (- (* (log1p (/ 1 N)) (log1p (/ 1 N))) (* (log (/ 1 N)) (log (/ 1 N)))) (+ (log1p (/ 1 N)) (log (/ 1 N)))) into (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) 10.761 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) in (N) around 0 10.761 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) in N 10.761 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 10.761 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 10.761 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 10.761 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 10.761 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 10.761 * [taylor]: Taking taylor expansion of 1 in N 10.761 * [backup-simplify]: Simplify 1 into 1 10.761 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.761 * [taylor]: Taking taylor expansion of N in N 10.761 * [backup-simplify]: Simplify 0 into 0 10.761 * [backup-simplify]: Simplify 1 into 1 10.761 * [backup-simplify]: Simplify (/ 1 1) into 1 10.762 * [backup-simplify]: Simplify (+ 0 1) into 1 10.762 * [backup-simplify]: Simplify (log 1) into 0 10.762 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.762 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 10.762 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.762 * [taylor]: Taking taylor expansion of N in N 10.762 * [backup-simplify]: Simplify 0 into 0 10.762 * [backup-simplify]: Simplify 1 into 1 10.763 * [backup-simplify]: Simplify (/ 1 1) into 1 10.763 * [backup-simplify]: Simplify (log 1) into 0 10.763 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.764 * [taylor]: Taking taylor expansion of (+ (log (/ 1 N)) (log1p (/ 1 N))) in N 10.764 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.764 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.764 * [taylor]: Taking taylor expansion of N in N 10.764 * [backup-simplify]: Simplify 0 into 0 10.764 * [backup-simplify]: Simplify 1 into 1 10.764 * [backup-simplify]: Simplify (/ 1 1) into 1 10.764 * [backup-simplify]: Simplify (log 1) into 0 10.764 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 10.764 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 10.765 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 10.765 * [taylor]: Taking taylor expansion of 1 in N 10.765 * [backup-simplify]: Simplify 1 into 1 10.765 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.765 * [taylor]: Taking taylor expansion of N in N 10.765 * [backup-simplify]: Simplify 0 into 0 10.765 * [backup-simplify]: Simplify 1 into 1 10.765 * [backup-simplify]: Simplify (/ 1 1) into 1 10.765 * [backup-simplify]: Simplify (+ 0 1) into 1 10.766 * [backup-simplify]: Simplify (log 1) into 0 10.766 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.767 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.767 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 10.767 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.768 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.768 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 10.768 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 10.768 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 10.769 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.770 * [backup-simplify]: Simplify (+ 1 0) into 1 10.771 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.772 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.772 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 10.772 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.775 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.775 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 10.775 * [backup-simplify]: Simplify (- 0) into 0 10.775 * [backup-simplify]: Simplify (+ (- (* 2 (log N))) 0) into (- (* 2 (log N))) 10.776 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.776 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.776 * [backup-simplify]: Simplify (+ (- (log N)) (- (log N))) into (- (* 2 (log N))) 10.777 * [backup-simplify]: Simplify (/ (- (* 2 (log N))) (- (* 2 (log N)))) into 1 10.777 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) in N 10.777 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 10.777 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 10.777 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 10.777 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 10.777 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 10.777 * [taylor]: Taking taylor expansion of 1 in N 10.777 * [backup-simplify]: Simplify 1 into 1 10.777 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.777 * [taylor]: Taking taylor expansion of N in N 10.777 * [backup-simplify]: Simplify 0 into 0 10.777 * [backup-simplify]: Simplify 1 into 1 10.777 * [backup-simplify]: Simplify (/ 1 1) into 1 10.778 * [backup-simplify]: Simplify (+ 0 1) into 1 10.778 * [backup-simplify]: Simplify (log 1) into 0 10.779 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.779 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 10.779 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.779 * [taylor]: Taking taylor expansion of N in N 10.779 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify 1 into 1 10.779 * [backup-simplify]: Simplify (/ 1 1) into 1 10.780 * [backup-simplify]: Simplify (log 1) into 0 10.780 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.780 * [taylor]: Taking taylor expansion of (+ (log (/ 1 N)) (log1p (/ 1 N))) in N 10.780 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.780 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.780 * [taylor]: Taking taylor expansion of N in N 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify 1 into 1 10.781 * [backup-simplify]: Simplify (/ 1 1) into 1 10.781 * [backup-simplify]: Simplify (log 1) into 0 10.781 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 10.781 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 10.781 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 10.781 * [taylor]: Taking taylor expansion of 1 in N 10.781 * [backup-simplify]: Simplify 1 into 1 10.781 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.781 * [taylor]: Taking taylor expansion of N in N 10.782 * [backup-simplify]: Simplify 0 into 0 10.782 * [backup-simplify]: Simplify 1 into 1 10.782 * [backup-simplify]: Simplify (/ 1 1) into 1 10.782 * [backup-simplify]: Simplify (+ 0 1) into 1 10.783 * [backup-simplify]: Simplify (log 1) into 0 10.783 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.784 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.784 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 10.784 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.785 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.785 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 10.785 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 10.785 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 10.786 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.787 * [backup-simplify]: Simplify (+ 1 0) into 1 10.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.789 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.789 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 10.790 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.792 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.793 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 10.793 * [backup-simplify]: Simplify (- 0) into 0 10.793 * [backup-simplify]: Simplify (+ (- (* 2 (log N))) 0) into (- (* 2 (log N))) 10.793 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.794 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.794 * [backup-simplify]: Simplify (+ (- (log N)) (- (log N))) into (- (* 2 (log N))) 10.794 * [backup-simplify]: Simplify (/ (- (* 2 (log N))) (- (* 2 (log N)))) into 1 10.794 * [backup-simplify]: Simplify 1 into 1 10.795 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.796 * [backup-simplify]: Simplify (+ 0 0) into 0 10.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.800 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.801 * [backup-simplify]: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 10.801 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.805 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.805 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.806 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 10.806 * [backup-simplify]: Simplify (- 0) into 0 10.806 * [backup-simplify]: Simplify (+ (+ (log N) 1) 0) into (+ (log N) 1) 10.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.810 * [backup-simplify]: Simplify (+ 1 0) into 1 10.811 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.811 * [backup-simplify]: Simplify (+ 0 1) into 1 10.812 * [backup-simplify]: Simplify (- (/ (+ (log N) 1) (- (* 2 (log N)))) (+ (* 1 (/ 1 (- (* 2 (log N))))))) into (- 1/2) 10.812 * [backup-simplify]: Simplify (- 1/2) into -1/2 10.812 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.814 * [backup-simplify]: Simplify (+ 0 0) into 0 10.824 * [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 10.825 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.826 * [backup-simplify]: Simplify (+ (* (- (log N)) 1/3) (+ (* 1 -1/2) (+ (* -1/2 1) (* 1/3 (- (log N)))))) into (- (+ (* 2/3 (log N)) 1)) 10.827 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.833 * [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 10.834 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.835 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 10.835 * [backup-simplify]: Simplify (- 0) into 0 10.835 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1)) 0) into (- (+ (* 2/3 (log N)) 1)) 10.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.839 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.841 * [backup-simplify]: Simplify (+ 0 0) into 0 10.844 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.844 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 10.845 * [backup-simplify]: Simplify (- (/ (- (+ (* 2/3 (log N)) 1)) (- (* 2 (log N)))) (+ (* 1 (/ -1/2 (- (* 2 (log N))))) (* (- 1/2) (/ 1 (- (* 2 (log N))))))) into 1/3 10.845 * [backup-simplify]: Simplify 1/3 into 1/3 10.845 * [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)))) 10.846 * [backup-simplify]: Simplify (/ (- (* (log1p (/ 1 (- N))) (log1p (/ 1 (- N)))) (* (log (/ 1 (- N))) (log (/ 1 (- N))))) (+ (log1p (/ 1 (- N))) (log (/ 1 (- N))))) into (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) 10.846 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) in (N) around 0 10.846 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) in N 10.846 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 10.846 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 10.846 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.846 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.846 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.846 * [taylor]: Taking taylor expansion of 1 in N 10.846 * [backup-simplify]: Simplify 1 into 1 10.846 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.846 * [taylor]: Taking taylor expansion of -1 in N 10.846 * [backup-simplify]: Simplify -1 into -1 10.846 * [taylor]: Taking taylor expansion of N in N 10.846 * [backup-simplify]: Simplify 0 into 0 10.847 * [backup-simplify]: Simplify 1 into 1 10.847 * [backup-simplify]: Simplify (/ -1 1) into -1 10.847 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.848 * [backup-simplify]: Simplify (log -1) into (log -1) 10.849 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.849 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 10.849 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.849 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.849 * [taylor]: Taking taylor expansion of -1 in N 10.849 * [backup-simplify]: Simplify -1 into -1 10.849 * [taylor]: Taking taylor expansion of N in N 10.849 * [backup-simplify]: Simplify 0 into 0 10.849 * [backup-simplify]: Simplify 1 into 1 10.849 * [backup-simplify]: Simplify (/ -1 1) into -1 10.850 * [backup-simplify]: Simplify (log -1) into (log -1) 10.850 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.851 * [taylor]: Taking taylor expansion of (+ (log (/ -1 N)) (log1p (/ -1 N))) in N 10.851 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.851 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.851 * [taylor]: Taking taylor expansion of -1 in N 10.851 * [backup-simplify]: Simplify -1 into -1 10.851 * [taylor]: Taking taylor expansion of N in N 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [backup-simplify]: Simplify 1 into 1 10.851 * [backup-simplify]: Simplify (/ -1 1) into -1 10.851 * [backup-simplify]: Simplify (log -1) into (log -1) 10.852 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.852 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.852 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.852 * [taylor]: Taking taylor expansion of 1 in N 10.852 * [backup-simplify]: Simplify 1 into 1 10.852 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.852 * [taylor]: Taking taylor expansion of -1 in N 10.852 * [backup-simplify]: Simplify -1 into -1 10.852 * [taylor]: Taking taylor expansion of N in N 10.852 * [backup-simplify]: Simplify 0 into 0 10.852 * [backup-simplify]: Simplify 1 into 1 10.852 * [backup-simplify]: Simplify (/ -1 1) into -1 10.853 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.853 * [backup-simplify]: Simplify (log -1) into (log -1) 10.854 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.855 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.855 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 10.856 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.857 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.858 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 10.858 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 10.860 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 10.861 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.863 * [backup-simplify]: Simplify (+ 1 0) into 1 10.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 10.865 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.866 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 10.866 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.870 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.870 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 10.871 * [backup-simplify]: Simplify (- 0) into 0 10.872 * [backup-simplify]: Simplify (+ (- (* 2 (log N)) (* 2 (log -1))) 0) into (- (* 2 (log N)) (* 2 (log -1))) 10.873 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.873 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.874 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log -1) (log N))) into (- (* 2 (log -1)) (* 2 (log N))) 10.876 * [backup-simplify]: Simplify (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) into (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) 10.876 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) in N 10.876 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 10.876 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 10.876 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.876 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.876 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.876 * [taylor]: Taking taylor expansion of 1 in N 10.876 * [backup-simplify]: Simplify 1 into 1 10.876 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.876 * [taylor]: Taking taylor expansion of -1 in N 10.877 * [backup-simplify]: Simplify -1 into -1 10.877 * [taylor]: Taking taylor expansion of N in N 10.877 * [backup-simplify]: Simplify 0 into 0 10.877 * [backup-simplify]: Simplify 1 into 1 10.877 * [backup-simplify]: Simplify (/ -1 1) into -1 10.877 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.878 * [backup-simplify]: Simplify (log -1) into (log -1) 10.879 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.879 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 10.879 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.879 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.879 * [taylor]: Taking taylor expansion of -1 in N 10.879 * [backup-simplify]: Simplify -1 into -1 10.879 * [taylor]: Taking taylor expansion of N in N 10.879 * [backup-simplify]: Simplify 0 into 0 10.879 * [backup-simplify]: Simplify 1 into 1 10.880 * [backup-simplify]: Simplify (/ -1 1) into -1 10.880 * [backup-simplify]: Simplify (log -1) into (log -1) 10.881 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.881 * [taylor]: Taking taylor expansion of (+ (log (/ -1 N)) (log1p (/ -1 N))) in N 10.881 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.881 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.881 * [taylor]: Taking taylor expansion of -1 in N 10.881 * [backup-simplify]: Simplify -1 into -1 10.881 * [taylor]: Taking taylor expansion of N in N 10.881 * [backup-simplify]: Simplify 0 into 0 10.881 * [backup-simplify]: Simplify 1 into 1 10.882 * [backup-simplify]: Simplify (/ -1 1) into -1 10.882 * [backup-simplify]: Simplify (log -1) into (log -1) 10.882 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.882 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.882 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.882 * [taylor]: Taking taylor expansion of 1 in N 10.882 * [backup-simplify]: Simplify 1 into 1 10.882 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.882 * [taylor]: Taking taylor expansion of -1 in N 10.882 * [backup-simplify]: Simplify -1 into -1 10.882 * [taylor]: Taking taylor expansion of N in N 10.882 * [backup-simplify]: Simplify 0 into 0 10.882 * [backup-simplify]: Simplify 1 into 1 10.883 * [backup-simplify]: Simplify (/ -1 1) into -1 10.883 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.883 * [backup-simplify]: Simplify (log -1) into (log -1) 10.884 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.885 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.886 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 10.887 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.888 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.889 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 10.889 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 10.891 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 10.892 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.894 * [backup-simplify]: Simplify (+ 1 0) into 1 10.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 10.896 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.897 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 10.898 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.901 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.902 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 10.903 * [backup-simplify]: Simplify (- 0) into 0 10.904 * [backup-simplify]: Simplify (+ (- (* 2 (log N)) (* 2 (log -1))) 0) into (- (* 2 (log N)) (* 2 (log -1))) 10.904 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.905 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.906 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log -1) (log N))) into (- (* 2 (log -1)) (* 2 (log N))) 10.908 * [backup-simplify]: Simplify (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) into (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) 10.910 * [backup-simplify]: Simplify (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) into (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) 10.911 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.912 * [backup-simplify]: Simplify (+ 0 0) into 0 10.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 10.917 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.918 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 10.919 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.924 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.925 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.926 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 10.927 * [backup-simplify]: Simplify (- 0) into 0 10.927 * [backup-simplify]: Simplify (+ (- (+ (log N) 1) (log -1)) 0) into (- (+ (log N) 1) (log -1)) 10.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.931 * [backup-simplify]: Simplify (+ 1 0) into 1 10.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 10.933 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.937 * [backup-simplify]: Simplify (- (/ (- (+ (log N) 1) (log -1)) (- (* 2 (log -1)) (* 2 (log N)))) (+ (* (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) (/ -1 (- (* 2 (log -1)) (* 2 (log N))))))) into (- (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) 10.944 * [backup-simplify]: Simplify (- (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) into (- (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) 10.945 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.946 * [backup-simplify]: Simplify (+ 0 0) into 0 10.952 * [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 10.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.955 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/3) (+ (* -1 -1/2) (+ (* -1/2 -1) (* -1/3 (- (log -1) (log N)))))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 10.955 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.961 * [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 10.961 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.962 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 10.963 * [backup-simplify]: Simplify (- 0) into 0 10.963 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 0) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 10.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.970 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.971 * [backup-simplify]: Simplify (+ 0 0) into 0 10.972 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 10.973 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 10.981 * [backup-simplify]: Simplify (- (/ (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) (+ (* (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) (/ -1/2 (- (* 2 (log -1)) (* 2 (log N))))) (* (- (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) (/ -1 (- (* 2 (log -1)) (* 2 (log N))))))) into (- (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (+ (* 2/3 (/ (log N) (- (* 2 (log -1)) (* 2 (log N))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ 1 (pow (- (* 2 (log -1)) (* 2 (log N))) 2)))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log N))))) (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 3)))))) 10.987 * [backup-simplify]: Simplify (- (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (+ (* 2/3 (/ (log N) (- (* 2 (log -1)) (* 2 (log N))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ 1 (pow (- (* 2 (log -1)) (* 2 (log N))) 2)))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log N))))) (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 3)))))) into (- (+ (* 2/3 (/ (log N) (- (* 2 (log -1)) (* 2 (log N))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ 1 (pow (- (* 2 (log -1)) (* 2 (log N))) 2)) (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))))) 11.008 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (/ (log (/ 1 (- N))) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))) (+ (/ 1 (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2)) (+ (* 2 (/ (log (/ 1 (- N))) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 3))) (* 2 (/ (log (/ 1 (- N))) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 3))) (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 2 (/ (log (/ 1 (- N))) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))) (/ (log (/ 1 (- N))) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (* (/ (- (* 2 (log (/ 1 (- N)))) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))) (/ 1 (- N))))) into (- (+ (/ 1 (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 2))) (+ (* 2 (/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 3) (pow N 3)))) (+ (* 2 (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) N))) (+ (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 2))) (+ (* 2/3 (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3)))) (+ (* 2 (/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3)))) (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 2)))))))))) (+ (* 2 (/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 2)))) (+ (* 2 (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) N))) (+ (/ 1 (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3))) (+ (* 2/3 (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3)))) (+ (/ 1 (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3))) (+ (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 3) (pow N 3)))) (+ (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 2))) (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3)))))))))))) 11.009 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 11.009 * [backup-simplify]: Simplify (* (log1p N) (log1p N)) into (pow (log1p N) 2) 11.009 * [approximate]: Taking taylor expansion of (pow (log1p N) 2) in (N) around 0 11.009 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 11.009 * [taylor]: Taking taylor expansion of (log1p N) in N 11.009 * [taylor]: Rewrote expression to (log (+ 1 N)) 11.009 * [taylor]: Taking taylor expansion of (+ 1 N) in N 11.009 * [taylor]: Taking taylor expansion of 1 in N 11.009 * [backup-simplify]: Simplify 1 into 1 11.009 * [taylor]: Taking taylor expansion of N in N 11.009 * [backup-simplify]: Simplify 0 into 0 11.009 * [backup-simplify]: Simplify 1 into 1 11.010 * [backup-simplify]: Simplify (+ 1 0) into 1 11.010 * [backup-simplify]: Simplify (log 1) into 0 11.011 * [backup-simplify]: Simplify (+ 0 1) into 1 11.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 11.012 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 11.012 * [taylor]: Taking taylor expansion of (log1p N) in N 11.012 * [taylor]: Rewrote expression to (log (+ 1 N)) 11.012 * [taylor]: Taking taylor expansion of (+ 1 N) in N 11.012 * [taylor]: Taking taylor expansion of 1 in N 11.012 * [backup-simplify]: Simplify 1 into 1 11.012 * [taylor]: Taking taylor expansion of N in N 11.012 * [backup-simplify]: Simplify 0 into 0 11.012 * [backup-simplify]: Simplify 1 into 1 11.013 * [backup-simplify]: Simplify (+ 1 0) into 1 11.013 * [backup-simplify]: Simplify (log 1) into 0 11.014 * [backup-simplify]: Simplify (+ 0 1) into 1 11.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 11.015 * [backup-simplify]: Simplify (* 1 1) into 1 11.016 * [backup-simplify]: Simplify 1 into 1 11.016 * [backup-simplify]: Simplify (+ 0 0) into 0 11.019 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 11.020 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 11.020 * [backup-simplify]: Simplify -1 into -1 11.020 * [backup-simplify]: Simplify (+ 0 0) into 0 11.025 * [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 11.026 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* -1/2 -1/2) (* 1/3 1))) into 11/12 11.026 * [backup-simplify]: Simplify 11/12 into 11/12 11.027 * [backup-simplify]: Simplify (+ (* 11/12 (pow N 4)) (+ (* -1 (pow N 3)) (* 1 (pow N 2)))) into (- (+ (* 11/12 (pow N 4)) (pow N 2)) (pow N 3)) 11.027 * [backup-simplify]: Simplify (* (log1p (/ 1 N)) (log1p (/ 1 N))) into (pow (log1p (/ 1 N)) 2) 11.027 * [approximate]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in (N) around 0 11.027 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 11.027 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 11.027 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 11.027 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 11.027 * [taylor]: Taking taylor expansion of 1 in N 11.027 * [backup-simplify]: Simplify 1 into 1 11.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.027 * [taylor]: Taking taylor expansion of N in N 11.027 * [backup-simplify]: Simplify 0 into 0 11.027 * [backup-simplify]: Simplify 1 into 1 11.027 * [backup-simplify]: Simplify (/ 1 1) into 1 11.028 * [backup-simplify]: Simplify (+ 0 1) into 1 11.028 * [backup-simplify]: Simplify (log 1) into 0 11.029 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.029 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 11.029 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 11.029 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 11.029 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 11.029 * [taylor]: Taking taylor expansion of 1 in N 11.029 * [backup-simplify]: Simplify 1 into 1 11.029 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.029 * [taylor]: Taking taylor expansion of N in N 11.029 * [backup-simplify]: Simplify 0 into 0 11.029 * [backup-simplify]: Simplify 1 into 1 11.029 * [backup-simplify]: Simplify (/ 1 1) into 1 11.030 * [backup-simplify]: Simplify (+ 0 1) into 1 11.030 * [backup-simplify]: Simplify (log 1) into 0 11.031 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.031 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.032 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.032 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 11.032 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 11.032 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.034 * [backup-simplify]: Simplify (+ 1 0) into 1 11.035 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 11.035 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.035 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 11.035 * [backup-simplify]: Simplify (- (* 2 (log N))) into (- (* 2 (log N))) 11.036 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.037 * [backup-simplify]: Simplify (+ 0 0) into 0 11.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 11.040 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.041 * [backup-simplify]: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 11.041 * [backup-simplify]: Simplify (+ (log N) 1) into (+ (log N) 1) 11.041 * [backup-simplify]: Simplify (+ (* (+ (log (/ 1 N)) 1) (pow (/ 1 N) 2)) (+ (* (- (* 2 (log (/ 1 N)))) (/ 1 N)) (pow (log (/ 1 N)) 2))) into (- (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))) (* 2 (/ (log (/ 1 N)) N))) 11.041 * [backup-simplify]: Simplify (* (log1p (/ 1 (- N))) (log1p (/ 1 (- N)))) into (pow (log1p (/ -1 N)) 2) 11.042 * [approximate]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in (N) around 0 11.042 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 11.042 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 11.042 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 11.042 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 11.042 * [taylor]: Taking taylor expansion of 1 in N 11.042 * [backup-simplify]: Simplify 1 into 1 11.042 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.042 * [taylor]: Taking taylor expansion of -1 in N 11.042 * [backup-simplify]: Simplify -1 into -1 11.042 * [taylor]: Taking taylor expansion of N in N 11.042 * [backup-simplify]: Simplify 0 into 0 11.042 * [backup-simplify]: Simplify 1 into 1 11.042 * [backup-simplify]: Simplify (/ -1 1) into -1 11.043 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.043 * [backup-simplify]: Simplify (log -1) into (log -1) 11.044 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.044 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 11.044 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 11.044 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 11.044 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 11.044 * [taylor]: Taking taylor expansion of 1 in N 11.044 * [backup-simplify]: Simplify 1 into 1 11.044 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.044 * [taylor]: Taking taylor expansion of -1 in N 11.044 * [backup-simplify]: Simplify -1 into -1 11.044 * [taylor]: Taking taylor expansion of N in N 11.044 * [backup-simplify]: Simplify 0 into 0 11.044 * [backup-simplify]: Simplify 1 into 1 11.045 * [backup-simplify]: Simplify (/ -1 1) into -1 11.045 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.045 * [backup-simplify]: Simplify (log -1) into (log -1) 11.046 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.047 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.048 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.048 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 11.049 * [backup-simplify]: Simplify (pow (- (log -1) (log N)) 2) into (pow (- (log -1) (log N)) 2) 11.050 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.051 * [backup-simplify]: Simplify (+ 1 0) into 1 11.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 11.053 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.054 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 11.055 * [backup-simplify]: Simplify (- (* 2 (log N)) (* 2 (log -1))) into (- (* 2 (log N)) (* 2 (log -1))) 11.056 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.057 * [backup-simplify]: Simplify (+ 0 0) into 0 11.060 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 11.061 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.063 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 11.063 * [backup-simplify]: Simplify (- (+ (log N) 1) (log -1)) into (- (+ (log N) 1) (log -1)) 11.065 * [backup-simplify]: Simplify (+ (* (- (+ (log (/ 1 (- N))) 1) (log -1)) (pow (/ 1 (- N)) 2)) (+ (* (- (* 2 (log (/ 1 (- N)))) (* 2 (log -1))) (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) into (- (+ (* 2 (/ (log -1) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ -1 N)) (pow N 2)) (+ (pow (log (/ -1 N)) 2) (pow (log -1) 2))))) (+ (* 2 (* (log (/ -1 N)) (log -1))) (+ (* 2 (/ (log (/ -1 N)) N)) (/ (log -1) (pow N 2))))) 11.066 * * * [progress]: simplifying candidates 11.066 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 11.066 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 19 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 24 / 152 ] simplifiying candidate #real (real->posit16 (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (+ (log1p N) (log N))))> 11.067 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 27 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 28 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 29 / 152 ] simplifiying candidate # 11.067 * * * * [progress]: [ 30 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 31 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 32 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 33 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 34 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 35 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 36 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 37 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 38 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 39 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 40 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 41 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 42 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 43 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 11.068 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 47 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 60 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 11.069 * * * * [progress]: [ 62 / 152 ] simplifiying candidate #real (real->posit16 (* (log N) (log N))))) (+ (log1p N) (log N))))> 11.070 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 11.070 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 11.070 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 11.070 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 11.070 * * * * [progress]: [ 67 / 152 ] simplifiying candidate # 11.070 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 11.070 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 11.070 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 11.070 * * * * [progress]: [ 71 / 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candidate # 11.071 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 11.071 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 11.071 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 11.071 * * * * [progress]: [ 90 / 152 ] simplifiying candidate # 11.071 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 11.071 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 11.071 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 11.072 * * * * [progress]: [ 108 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 110 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 112 / 152 ] simplifiying candidate #real (real->posit16 (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))))))> 11.073 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 11.073 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 11.074 * * * * [progress]: [ 139 / 152 ] simplifiying candidate #real (real->posit16 (* (log1p N) (log1p N)))) (* (log N) (log N))) (+ (log1p N) (log N))))> 11.074 * * * * [progress]: [ 140 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 11.075 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 11.078 * [simplify]: Simplifying: (fma (log1p N) (log1p N) (- (* (log N) (log N)))) (fma (- (log N)) (log N) (* (log N) (log N))) (expm1 (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (log1p (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (- (* (log N) (log N))) (/ (exp (* (log1p N) (log1p N))) (exp (* (log N) (log N)))) (log (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (exp (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (* (cbrt (- 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(/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 3) (pow N 3)))) (+ (* 2 (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) N))) (+ (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 2))) (+ (* 2/3 (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3)))) (+ (* 2 (/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3)))) (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 2)))))))))) (+ (* 2 (/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 2)))) (+ (* 2 (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) N))) (+ (/ 1 (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3))) (+ (* 2/3 (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3)))) (+ (/ 1 (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3))) (+ (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 3) (pow N 3)))) (+ (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 2))) (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3)))))))))))) (- (+ (* 11/12 (pow N 4)) (pow N 2)) (pow N 3)) (- (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))) (* 2 (/ (log (/ 1 N)) N))) (- (+ (* 2 (/ (log -1) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ -1 N)) (pow N 2)) (+ (pow (log (/ -1 N)) 2) (pow (log -1) 2))))) (+ (* 2 (* (log (/ -1 N)) (log -1))) (+ (* 2 (/ (log (/ -1 N)) N)) (/ (log -1) (pow N 2))))) 11.084 * * [simplify]: iteration 1: (286 enodes) 11.220 * * [simplify]: iteration 2: (1334 enodes) 11.686 * * [simplify]: Extracting #0: cost 113 inf + 0 11.688 * * [simplify]: Extracting #1: cost 588 inf + 2 11.695 * * [simplify]: Extracting #2: cost 1074 inf + 6777 11.716 * * [simplify]: Extracting #3: cost 1000 inf + 84681 11.754 * * [simplify]: Extracting #4: cost 680 inf + 203460 11.799 * * [simplify]: Extracting #5: cost 573 inf + 244824 11.848 * * [simplify]: Extracting #6: cost 451 inf + 278577 11.952 * * [simplify]: Extracting #7: cost 213 inf + 387183 12.113 * * [simplify]: Extracting #8: cost 51 inf + 504941 12.291 * * [simplify]: Extracting #9: cost 5 inf + 555885 12.461 * * [simplify]: Extracting #10: cost 0 inf + 561848 12.648 * * [simplify]: Extracting #11: cost 0 inf + 561803 12.821 * [simplify]: Simplified to: (* (+ (log1p N) (log N)) (- (log1p N) (log N))) (fma (- (log N)) (log N) (* (log N) (log N))) (expm1 (* (+ (log1p N) (log N)) (- (log1p N) (log N)))) (log1p (* (+ (log1p N) (log N)) (- (log1p N) (log N)))) (* (log N) (- (log N))) (exp (* (+ (log1p N) (log N)) (- (log1p N) (log N)))) (log (* (+ (log1p N) (log N)) (- (log1p N) (log N)))) (exp (* (+ (log1p N) (log N)) (- (log1p N) (log N)))) (* (cbrt (* (+ (log1p N) (log N)) (- (log1p N) (log N)))) (cbrt (* (+ (log1p N) (log N)) (- (log1p N) (log N))))) (cbrt (* (+ (log1p N) (log N)) (- (log1p N) (log N)))) (* (* (+ (log1p N) (log N)) (- (log1p N) (log N))) (* (* (+ (log1p N) (log N)) (- (log1p N) (log N))) (* (+ (log1p N) 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(/ -1 N)) (* N N)) (/ 1 (* N N))))) (fma 2 (* (log -1) (log (/ -1 N))) (fma (/ (log (/ -1 N)) N) 2 (/ (log -1) (* N N))))) 12.840 * * * [progress]: adding candidates to table 14.247 * [progress]: [Phase 3 of 3] Extracting. 14.247 * * [regime]: Finding splitpoints for: (# # # # # #) 14.250 * * * [regime-changes]: Trying 1 branch expressions: (N) 14.250 * * * * [regimes]: Trying to branch on N from (# # # # # #) 14.318 * * * [regime]: Found split indices: #