16.983 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.123 * * * [progress]: [2/2] Setting up program. 0.128 * [progress]: [Phase 2 of 3] Improving. 0.128 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.128 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.128 * * [simplify]: iteration 0: 6 enodes 0.130 * * [simplify]: iteration 1: 11 enodes 0.134 * * [simplify]: iteration 2: 13 enodes 0.137 * * [simplify]: iteration complete: 13 enodes 0.137 * * [simplify]: Extracting #0: cost 1 inf + 0 0.137 * * [simplify]: Extracting #1: cost 4 inf + 0 0.137 * * [simplify]: Extracting #2: cost 6 inf + 0 0.137 * * [simplify]: Extracting #3: cost 2 inf + 475 0.138 * * [simplify]: Extracting #4: cost 0 inf + 518 0.138 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.144 * * [progress]: iteration 1 / 4 0.144 * * * [progress]: picking best candidate 0.149 * * * * [pick]: Picked # 0.149 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.180 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.181 * * * [progress]: generating series expansions 0.181 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.181 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.181 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.181 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.181 * [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 0.182 * [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 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (log 1) into 0 0.183 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.183 * [taylor]: Taking taylor expansion of (log1p N) in N 0.183 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.183 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of 1 in N 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (+ 1 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 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [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 0.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.192 * [backup-simplify]: Simplify -1/2 into -1/2 0.192 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.192 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.192 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.192 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.192 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.192 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.192 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.192 * [taylor]: Taking taylor expansion of 1 in N 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.192 * [taylor]: Taking taylor expansion of N in N 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify (+ 0 1) into 1 0.193 * [backup-simplify]: Simplify (log 1) into 0 0.193 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (log 1) into 0 0.194 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.194 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.194 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.194 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.194 * [taylor]: Taking taylor expansion of 1 in N 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [backup-simplify]: Simplify (+ 0 1) into 1 0.195 * [backup-simplify]: Simplify (log 1) into 0 0.195 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [backup-simplify]: Simplify (log 1) into 0 0.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.196 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.196 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.205 * [backup-simplify]: Simplify -1/2 into -1/2 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [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 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [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 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.212 * [backup-simplify]: Simplify 1/3 into 1/3 0.213 * [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)))) 0.213 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.213 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.213 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.213 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.213 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.213 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.213 * [taylor]: Taking taylor expansion of 1 in N 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.213 * [taylor]: Taking taylor expansion of -1 in N 0.213 * [backup-simplify]: Simplify -1 into -1 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ -1 1) into -1 0.214 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.214 * [backup-simplify]: Simplify (log -1) into (log -1) 0.214 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.214 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.214 * [taylor]: Taking taylor expansion of -1 in N 0.214 * [backup-simplify]: Simplify -1 into -1 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ -1 1) into -1 0.214 * [backup-simplify]: Simplify (log -1) into (log -1) 0.214 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.215 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.215 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.215 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.215 * [taylor]: Taking taylor expansion of 1 in N 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.215 * [taylor]: Taking taylor expansion of -1 in N 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ -1 1) into -1 0.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.215 * [backup-simplify]: Simplify (log -1) into (log -1) 0.216 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.216 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.216 * [taylor]: Taking taylor expansion of -1 in N 0.216 * [backup-simplify]: Simplify -1 into -1 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ -1 1) into -1 0.216 * [backup-simplify]: Simplify (log -1) into (log -1) 0.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.218 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.218 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ 1 0) into 1 0.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ -1 0) into -1 0.223 * [backup-simplify]: Simplify -1 into -1 0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.235 * [backup-simplify]: Simplify -1/2 into -1/2 0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [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 0.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.243 * [backup-simplify]: Simplify -1/3 into -1/3 0.243 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.243 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.243 * [backup-simplify]: Simplify (log1p N) into (log1p N) 0.243 * [approximate]: Taking taylor expansion of (log1p N) in (N) around 0 0.243 * [taylor]: Taking taylor expansion of (log1p N) in N 0.243 * [taylor]: Rewrote expression to (log (+ 1 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 0) into 1 0.244 * [backup-simplify]: Simplify (log 1) into 0 0.244 * [taylor]: Taking taylor expansion of (log1p N) in N 0.244 * [taylor]: Rewrote expression to (log (+ 1 N)) 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 0) into 1 0.244 * [backup-simplify]: Simplify (log 1) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (+ 0 1) into 1 0.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.247 * [backup-simplify]: Simplify -1/2 into -1/2 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [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 0.250 * [backup-simplify]: Simplify 1/3 into 1/3 0.251 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.251 * [backup-simplify]: Simplify (log1p (/ 1 N)) into (log1p (/ 1 N)) 0.251 * [approximate]: Taking taylor expansion of (log1p (/ 1 N)) in (N) around 0 0.251 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.251 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.251 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.251 * [taylor]: Taking taylor expansion of 1 in N 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.251 * [taylor]: Taking taylor expansion of N in N 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (+ 0 1) into 1 0.252 * [backup-simplify]: Simplify (log 1) into 0 0.252 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.252 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.252 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.252 * [taylor]: Taking taylor expansion of 1 in N 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.252 * [taylor]: Taking taylor expansion of N in N 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [backup-simplify]: Simplify (+ 0 1) into 1 0.253 * [backup-simplify]: Simplify (log 1) into 0 0.254 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.254 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ 1 0) into 1 0.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.260 * [backup-simplify]: Simplify -1/2 into -1/2 0.261 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.261 * [backup-simplify]: Simplify (log1p (/ 1 (- N))) into (log1p (/ -1 N)) 0.261 * [approximate]: Taking taylor expansion of (log1p (/ -1 N)) in (N) around 0 0.261 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.261 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.261 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.261 * [taylor]: Taking taylor expansion of 1 in N 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.261 * [taylor]: Taking taylor expansion of -1 in N 0.261 * [backup-simplify]: Simplify -1 into -1 0.261 * [taylor]: Taking taylor expansion of N in N 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ -1 1) into -1 0.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.262 * [backup-simplify]: Simplify (log -1) into (log -1) 0.262 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.263 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.263 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.263 * [taylor]: Taking taylor expansion of 1 in N 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.263 * [taylor]: Taking taylor expansion of -1 in N 0.263 * [backup-simplify]: Simplify -1 into -1 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ -1 1) into -1 0.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.264 * [backup-simplify]: Simplify (log -1) into (log -1) 0.265 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.265 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.268 * [backup-simplify]: Simplify -1 into -1 0.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.273 * [backup-simplify]: Simplify -1/2 into -1/2 0.273 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.274 * * * [progress]: simplifying candidates 0.274 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 0.274 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 16 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 0.275 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 32 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 37 / 55 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.276 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 46 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 0.276 * * * * [progress]: [ 49 / 55 ] simplifiying candidate #real (real->posit16 (log1p N))) (log N)))> 0.277 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 0.277 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 0.277 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 0.277 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 0.277 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 0.277 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 0.278 * [simplify]: Simplifying: (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (exp (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)) (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (log1p N) (log (* (cbrt N) (cbrt N)))) (- (log1p N) (log (sqrt N))) (- (log1p N) (log 1)) (- (log N)) (real->posit16 (- (log1p N) (log N))) (+ 1 N) (expm1 (log1p N)) (log1p (log1p N)) (log (log1p N)) (exp (log1p N)) (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (* (* (log1p N) (log1p N)) (log1p N)) (sqrt (log1p N)) (sqrt (log1p N)) (real->posit16 (log1p N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.280 * * [simplify]: iteration 0: 101 enodes 0.323 * * [simplify]: iteration 1: 231 enodes 0.428 * * [simplify]: iteration 2: 580 enodes 0.743 * * [simplify]: iteration 3: 1723 enodes 2.195 * * [simplify]: iteration complete: 5001 enodes 2.196 * * [simplify]: Extracting #0: cost 37 inf + 0 2.197 * * [simplify]: Extracting #1: cost 360 inf + 2 2.205 * * [simplify]: Extracting #2: cost 1019 inf + 8371 2.223 * * [simplify]: Extracting #3: cost 652 inf + 99566 2.266 * * [simplify]: Extracting #4: cost 169 inf + 237362 2.337 * * [simplify]: Extracting #5: cost 16 inf + 290383 2.386 * * [simplify]: Extracting #6: cost 0 inf + 294440 2.463 * [simplify]: Simplified to: (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (/ (exp (log1p N)) N) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (* (* (log1p N) (log1p N)) (log1p N)) (* (* (log N) (log N)) (log N))) (fma (log N) (+ (log N) (log1p N)) (* (log1p N) (log1p N))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log N) (log1p N)) (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (fma -2 (log (cbrt N)) (log1p N)) (- (log1p N) (log (sqrt N))) (log1p N) (- (log N)) (real->posit16 (- (log1p N) (log N))) (+ 1 N) N (log1p (log1p N)) (log (log1p N)) (exp (log1p N)) (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (* (* (log1p N) (log1p N)) (log1p N)) (sqrt (log1p N)) (sqrt (log1p N)) (real->posit16 (log1p N)) (- N (fma (* N N) 1/2 (log N))) (fma 1/3 (/ (/ (/ 1 N) N) N) (fma -1/2 (/ (/ 1 N) N) (/ 1 N))) (fma 1/3 (/ (/ (/ 1 N) N) N) (fma -1/2 (/ (/ 1 N) N) (/ 1 N))) (fma N (* N (- (* N 1/3) 1/2)) N) (+ (fma -1/2 (/ (/ 1 N) N) (/ 1 N)) (log N)) (+ (+ (/ 1 N) (log N)) (/ -1/2 (* N N))) 2.465 * * * [progress]: adding candidates to table 2.609 * * [progress]: iteration 2 / 4 2.609 * * * [progress]: picking best candidate 2.618 * * * * [pick]: Picked # 2.618 * * * [progress]: localizing error 2.628 * * * [progress]: generating rewritten candidates 2.628 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.633 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.666 * * * [progress]: generating series expansions 2.666 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.666 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 2.666 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.666 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.666 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.666 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.666 * [taylor]: Taking taylor expansion of N in N 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [taylor]: Taking taylor expansion of 1 in N 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [taylor]: Taking taylor expansion of N in N 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify (+ 0 1) into 1 2.668 * [backup-simplify]: Simplify (/ 1 1) into 1 2.668 * [backup-simplify]: Simplify (log 1) into 0 2.668 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.668 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.668 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.668 * [taylor]: Taking taylor expansion of N in N 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.668 * [taylor]: Taking taylor expansion of 1 in N 2.668 * [backup-simplify]: Simplify 1 into 1 2.668 * [taylor]: Taking taylor expansion of N in N 2.668 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify (+ 0 1) into 1 2.669 * [backup-simplify]: Simplify (/ 1 1) into 1 2.670 * [backup-simplify]: Simplify (log 1) into 0 2.670 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.671 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.671 * [backup-simplify]: Simplify (+ 1 0) into 1 2.672 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.673 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (+ 0 0) into 0 2.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.678 * [backup-simplify]: Simplify -1/2 into -1/2 2.679 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.679 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.679 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.679 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.679 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.679 * [taylor]: Taking taylor expansion of N in N 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.679 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.679 * [taylor]: Taking taylor expansion of N in N 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (/ 1 1) into 1 2.680 * [taylor]: Taking taylor expansion of 1 in N 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (+ 1 0) into 1 2.681 * [backup-simplify]: Simplify (* 0 1) into 0 2.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.682 * [backup-simplify]: Simplify (+ 0 1) into 1 2.683 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.683 * [backup-simplify]: Simplify (log 1) into 0 2.684 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.684 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.684 * [taylor]: Taking taylor expansion of N in N 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 1 into 1 2.684 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.684 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.684 * [taylor]: Taking taylor expansion of N in N 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 1 into 1 2.684 * [backup-simplify]: Simplify (/ 1 1) into 1 2.684 * [taylor]: Taking taylor expansion of 1 in N 2.684 * [backup-simplify]: Simplify 1 into 1 2.685 * [backup-simplify]: Simplify (+ 1 0) into 1 2.685 * [backup-simplify]: Simplify (* 0 1) into 0 2.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.686 * [backup-simplify]: Simplify (+ 0 1) into 1 2.687 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.687 * [backup-simplify]: Simplify (log 1) into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.689 * [backup-simplify]: Simplify (+ 0 0) into 0 2.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.691 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.696 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.696 * [backup-simplify]: Simplify -1/2 into -1/2 2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.697 * [backup-simplify]: Simplify (+ 0 0) into 0 2.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.703 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.703 * [backup-simplify]: Simplify 1/3 into 1/3 2.703 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.703 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.704 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.704 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.704 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.704 * [taylor]: Taking taylor expansion of -1 in N 2.704 * [backup-simplify]: Simplify -1 into -1 2.704 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.704 * [taylor]: Taking taylor expansion of N in N 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 1 into 1 2.704 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.704 * [taylor]: Taking taylor expansion of 1 in N 2.704 * [backup-simplify]: Simplify 1 into 1 2.704 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.704 * [taylor]: Taking taylor expansion of N in N 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 1 into 1 2.705 * [backup-simplify]: Simplify (/ 1 1) into 1 2.705 * [backup-simplify]: Simplify (- 1) into -1 2.706 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.706 * [backup-simplify]: Simplify (* 0 -1) into 0 2.706 * [backup-simplify]: Simplify (* -1 0) into 0 2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (- 0) into 0 2.708 * [backup-simplify]: Simplify (+ 1 0) into 1 2.708 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.709 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.709 * [backup-simplify]: Simplify (log 1) into 0 2.709 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.709 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.709 * [taylor]: Taking taylor expansion of -1 in N 2.709 * [backup-simplify]: Simplify -1 into -1 2.709 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.709 * [taylor]: Taking taylor expansion of N in N 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.710 * [taylor]: Taking taylor expansion of 1 in N 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.710 * [taylor]: Taking taylor expansion of N in N 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (/ 1 1) into 1 2.710 * [backup-simplify]: Simplify (- 1) into -1 2.711 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.711 * [backup-simplify]: Simplify (* 0 -1) into 0 2.712 * [backup-simplify]: Simplify (* -1 0) into 0 2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (- 0) into 0 2.713 * [backup-simplify]: Simplify (+ 1 0) into 1 2.714 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.715 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.716 * [backup-simplify]: Simplify (log 1) into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (- 0) into 0 2.717 * [backup-simplify]: Simplify (+ 0 0) into 0 2.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.719 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.721 * [backup-simplify]: Simplify -1 into -1 2.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (- 0) into 0 2.723 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.726 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.729 * [backup-simplify]: Simplify -1/2 into -1/2 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.731 * [backup-simplify]: Simplify (- 0) into 0 2.731 * [backup-simplify]: Simplify (+ 0 0) into 0 2.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.734 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.739 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 2.740 * [backup-simplify]: Simplify -1/3 into -1/3 2.740 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.740 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.740 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 2.740 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 2.740 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.740 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.740 * [taylor]: Taking taylor expansion of N in N 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.741 * [taylor]: Taking taylor expansion of 1 in N 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [taylor]: Taking taylor expansion of N in N 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (+ 0 1) into 1 2.742 * [backup-simplify]: Simplify (/ 1 1) into 1 2.742 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.742 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.742 * [taylor]: Taking taylor expansion of N in N 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [taylor]: Taking taylor expansion of 1 in N 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [taylor]: Taking taylor expansion of N in N 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (+ 0 1) into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (+ 1 0) into 1 2.744 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.744 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (+ 0 0) into 0 2.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (+ 0 0) into 0 2.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 2.755 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 2.755 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 2.755 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.755 * [taylor]: Taking taylor expansion of N in N 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.755 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.755 * [taylor]: Taking taylor expansion of N in N 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (/ 1 1) into 1 2.755 * [taylor]: Taking taylor expansion of 1 in N 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.756 * [taylor]: Taking taylor expansion of N in N 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.756 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.756 * [taylor]: Taking taylor expansion of N in N 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (/ 1 1) into 1 2.756 * [taylor]: Taking taylor expansion of 1 in N 2.756 * [backup-simplify]: Simplify 1 into 1 2.757 * [backup-simplify]: Simplify (+ 1 0) into 1 2.757 * [backup-simplify]: Simplify (* 0 1) into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (+ 0 1) into 1 2.759 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.759 * [backup-simplify]: Simplify 1 into 1 2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (+ 0 0) into 0 2.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.762 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ 0 0) into 0 2.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (+ 0 0) into 0 2.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (+ 0 0) into 0 2.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ 0 0) into 0 2.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 2.776 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.778 * [backup-simplify]: Simplify (+ 0 0) into 0 2.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 2.781 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 2.781 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 2.781 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.781 * [taylor]: Taking taylor expansion of -1 in N 2.781 * [backup-simplify]: Simplify -1 into -1 2.781 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.781 * [taylor]: Taking taylor expansion of N in N 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.781 * [taylor]: Taking taylor expansion of 1 in N 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.781 * [taylor]: Taking taylor expansion of N in N 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (/ 1 1) into 1 2.781 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.781 * [taylor]: Taking taylor expansion of -1 in N 2.782 * [backup-simplify]: Simplify -1 into -1 2.782 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.782 * [taylor]: Taking taylor expansion of N in N 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify 1 into 1 2.782 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.782 * [taylor]: Taking taylor expansion of 1 in N 2.782 * [backup-simplify]: Simplify 1 into 1 2.782 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.782 * [taylor]: Taking taylor expansion of N in N 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify 1 into 1 2.782 * [backup-simplify]: Simplify (/ 1 1) into 1 2.783 * [backup-simplify]: Simplify (- 1) into -1 2.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.784 * [backup-simplify]: Simplify (* 0 -1) into 0 2.784 * [backup-simplify]: Simplify (* -1 0) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.786 * [backup-simplify]: Simplify (- 0) into 0 2.786 * [backup-simplify]: Simplify (+ 1 0) into 1 2.787 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.788 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.788 * [backup-simplify]: Simplify 1 into 1 2.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.789 * [backup-simplify]: Simplify (- 0) into 0 2.790 * [backup-simplify]: Simplify (+ 0 0) into 0 2.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.792 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.792 * [backup-simplify]: Simplify -1 into -1 2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.793 * [backup-simplify]: Simplify (- 0) into 0 2.794 * [backup-simplify]: Simplify (+ 0 0) into 0 2.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.796 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.796 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (- 0) into 0 2.798 * [backup-simplify]: Simplify (+ 0 0) into 0 2.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.801 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.803 * [backup-simplify]: Simplify (- 0) into 0 2.803 * [backup-simplify]: Simplify (+ 0 0) into 0 2.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.807 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 2.807 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (- 0) into 0 2.809 * [backup-simplify]: Simplify (+ 0 0) into 0 2.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.814 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (- 0) into 0 2.816 * [backup-simplify]: Simplify (+ 0 0) into 0 2.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.823 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (- 0) into 0 2.825 * [backup-simplify]: Simplify (+ 0 0) into 0 2.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 2.830 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 2.830 * * * [progress]: simplifying candidates 2.830 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 2.831 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 2.832 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 2.832 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 2.833 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 2.834 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 2.834 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 2.835 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 2.835 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 2.835 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 2.836 * [simplify]: Simplifying: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (expm1 (/ (+ 1 N) N)) (log1p (/ (+ 1 N) N)) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 2.837 * * [simplify]: iteration 0: 106 enodes 2.862 * * [simplify]: iteration 1: 244 enodes 2.924 * * [simplify]: iteration 2: 583 enodes 3.232 * * [simplify]: iteration 3: 2586 enodes 4.520 * * [simplify]: iteration complete: 5052 enodes 4.521 * * [simplify]: Extracting #0: cost 69 inf + 0 4.523 * * [simplify]: Extracting #1: cost 506 inf + 2 4.543 * * [simplify]: Extracting #2: cost 1571 inf + 6687 4.578 * * [simplify]: Extracting #3: cost 1134 inf + 97525 4.638 * * [simplify]: Extracting #4: cost 333 inf + 265722 4.691 * * [simplify]: Extracting #5: cost 4 inf + 366616 4.754 * * [simplify]: Extracting #6: cost 0 inf + 367906 4.860 * [simplify]: Simplified to: (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 N))) (log (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (expm1 (/ (+ 1 N) N)) (log1p (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (fma (- (* N N) N) N N) (* (- 1 N) N) (real->posit16 (/ (+ 1 N) N)) (- N (fma 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 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 4.865 * * * [progress]: adding candidates to table 5.060 * * [progress]: iteration 3 / 4 5.060 * * * [progress]: picking best candidate 5.067 * * * * [pick]: Picked # 5.068 * * * [progress]: localizing error 5.084 * * * [progress]: generating rewritten candidates 5.084 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.105 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.112 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.136 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.150 * * * [progress]: generating series expansions 5.150 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.151 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) into (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) 5.151 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in (N) around 0 5.151 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.151 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.151 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.151 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.151 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.151 * [taylor]: Taking taylor expansion of N in N 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify 1 into 1 5.151 * [taylor]: Taking taylor expansion of 1 in N 5.151 * [backup-simplify]: Simplify 1 into 1 5.152 * [backup-simplify]: Simplify (+ 0 1) into 1 5.152 * [backup-simplify]: Simplify (sqrt 1) into 1 5.153 * [backup-simplify]: Simplify (+ 1 0) into 1 5.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 (* 1 1) into 1 5.155 * [backup-simplify]: Simplify (log 1) into 0 5.155 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.155 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.155 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.155 * [taylor]: Taking taylor expansion of N in N 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [taylor]: Taking taylor expansion of 1 in N 5.155 * [backup-simplify]: Simplify 1 into 1 5.156 * [backup-simplify]: Simplify (+ 0 1) into 1 5.156 * [backup-simplify]: Simplify (sqrt 1) into 1 5.157 * [backup-simplify]: Simplify (+ 1 0) into 1 5.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.158 * [backup-simplify]: Simplify (log 1) into 0 5.158 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.158 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.158 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.158 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.158 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.158 * [taylor]: Taking taylor expansion of N in N 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [taylor]: Taking taylor expansion of 1 in N 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (+ 0 1) into 1 5.159 * [backup-simplify]: Simplify (sqrt 1) into 1 5.159 * [backup-simplify]: Simplify (+ 1 0) into 1 5.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.160 * [taylor]: Taking taylor expansion of N in N 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [backup-simplify]: Simplify (/ 1 1) into 1 5.161 * [backup-simplify]: Simplify (* 1 1) into 1 5.161 * [backup-simplify]: Simplify (log 1) into 0 5.161 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.161 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.161 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.161 * [taylor]: Taking taylor expansion of N in N 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [taylor]: Taking taylor expansion of 1 in N 5.161 * [backup-simplify]: Simplify 1 into 1 5.162 * [backup-simplify]: Simplify (+ 0 1) into 1 5.162 * [backup-simplify]: Simplify (sqrt 1) into 1 5.163 * [backup-simplify]: Simplify (+ 1 0) into 1 5.163 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.164 * [backup-simplify]: Simplify (log 1) into 0 5.164 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.164 * [backup-simplify]: Simplify (+ (- (log N)) 0) into (- (log N)) 5.164 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.172 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.172 * [backup-simplify]: Simplify 1 into 1 5.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.174 * [backup-simplify]: Simplify (+ 0 0) into 0 5.175 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.180 * [backup-simplify]: Simplify (+ 0 0) into 0 5.181 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.185 * [backup-simplify]: Simplify (+ -1/4 -1/4) into -1/2 5.185 * [backup-simplify]: Simplify -1/2 into -1/2 5.185 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.185 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 N)))) (log (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) 5.185 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 5.185 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.185 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.185 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.185 * [taylor]: Taking taylor expansion of N in N 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 1 into 1 5.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.185 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.185 * [taylor]: Taking taylor expansion of N in N 5.185 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.186 * [backup-simplify]: Simplify (/ 1 1) into 1 5.186 * [taylor]: Taking taylor expansion of 1 in N 5.186 * [backup-simplify]: Simplify 1 into 1 5.186 * [backup-simplify]: Simplify (+ 1 0) into 1 5.187 * [backup-simplify]: Simplify (sqrt 0) into 0 5.188 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.189 * [backup-simplify]: Simplify (* 0 0) into 0 5.190 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (+ 0 1) into 1 5.194 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.196 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.197 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.197 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.197 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.197 * [taylor]: Taking taylor expansion of N in N 5.197 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify 1 into 1 5.197 * [backup-simplify]: Simplify (/ 1 1) into 1 5.197 * [taylor]: Taking taylor expansion of 1 in N 5.197 * [backup-simplify]: Simplify 1 into 1 5.198 * [backup-simplify]: Simplify (+ 1 0) into 1 5.198 * [backup-simplify]: Simplify (sqrt 0) into 0 5.199 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.200 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.200 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.200 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.200 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.200 * [taylor]: Taking taylor expansion of N in N 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.200 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.200 * [taylor]: Taking taylor expansion of N in N 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify (/ 1 1) into 1 5.200 * [taylor]: Taking taylor expansion of 1 in N 5.200 * [backup-simplify]: Simplify 1 into 1 5.201 * [backup-simplify]: Simplify (+ 1 0) into 1 5.201 * [backup-simplify]: Simplify (sqrt 0) into 0 5.202 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.203 * [backup-simplify]: Simplify (* 0 0) into 0 5.203 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.204 * [backup-simplify]: Simplify (+ 0 1) into 1 5.207 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.210 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.210 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.210 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.210 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.210 * [taylor]: Taking taylor expansion of N in N 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (/ 1 1) into 1 5.211 * [taylor]: Taking taylor expansion of 1 in N 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (+ 1 0) into 1 5.212 * [backup-simplify]: Simplify (sqrt 0) into 0 5.213 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.213 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.214 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.215 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.216 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.218 * [backup-simplify]: Simplify (+ 0 0) into 0 5.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.224 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (+ 0 1) into 1 5.239 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.246 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.246 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.248 * [backup-simplify]: Simplify (+ 0 0) into 0 5.252 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.256 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 5.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.279 * [backup-simplify]: Simplify (+ 0 0) into 0 5.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.297 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.297 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.298 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.298 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 (- N))))) (log (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) 5.298 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in (N) around 0 5.298 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.299 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.299 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.299 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.299 * [taylor]: Taking taylor expansion of 1 in N 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.299 * [taylor]: Taking taylor expansion of N in N 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (/ 1 1) into 1 5.299 * [backup-simplify]: Simplify (- 1) into -1 5.299 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.300 * [backup-simplify]: Simplify (sqrt 0) into 0 5.301 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.301 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.301 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.301 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.301 * [taylor]: Taking taylor expansion of -1 in N 5.301 * [backup-simplify]: Simplify -1 into -1 5.301 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.301 * [taylor]: Taking taylor expansion of N in N 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify 1 into 1 5.301 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.301 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.301 * [taylor]: Taking taylor expansion of 1 in N 5.301 * [backup-simplify]: Simplify 1 into 1 5.301 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.301 * [taylor]: Taking taylor expansion of N in N 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify 1 into 1 5.301 * [backup-simplify]: Simplify (/ 1 1) into 1 5.302 * [backup-simplify]: Simplify (- 1) into -1 5.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.302 * [backup-simplify]: Simplify (sqrt 0) into 0 5.303 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.303 * [backup-simplify]: Simplify (* 0 0) into 0 5.304 * [backup-simplify]: Simplify (* -1 0) into 0 5.304 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.304 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.305 * [backup-simplify]: Simplify (- 0) into 0 5.305 * [backup-simplify]: Simplify (+ 1 0) into 1 5.307 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.309 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.310 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.311 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.311 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.311 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.311 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.311 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.311 * [taylor]: Taking taylor expansion of 1 in N 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.311 * [taylor]: Taking taylor expansion of N in N 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [backup-simplify]: Simplify (/ 1 1) into 1 5.312 * [backup-simplify]: Simplify (- 1) into -1 5.312 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.312 * [backup-simplify]: Simplify (sqrt 0) into 0 5.313 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.313 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.313 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.313 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.313 * [taylor]: Taking taylor expansion of -1 in N 5.313 * [backup-simplify]: Simplify -1 into -1 5.313 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.313 * [taylor]: Taking taylor expansion of N in N 5.313 * [backup-simplify]: Simplify 0 into 0 5.313 * [backup-simplify]: Simplify 1 into 1 5.313 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.313 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.313 * [taylor]: Taking taylor expansion of 1 in N 5.313 * [backup-simplify]: Simplify 1 into 1 5.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.313 * [taylor]: Taking taylor expansion of N in N 5.313 * [backup-simplify]: Simplify 0 into 0 5.313 * [backup-simplify]: Simplify 1 into 1 5.314 * [backup-simplify]: Simplify (/ 1 1) into 1 5.314 * [backup-simplify]: Simplify (- 1) into -1 5.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.314 * [backup-simplify]: Simplify (sqrt 0) into 0 5.315 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.315 * [backup-simplify]: Simplify (* 0 0) into 0 5.316 * [backup-simplify]: Simplify (* -1 0) into 0 5.316 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.317 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.317 * [backup-simplify]: Simplify (- 0) into 0 5.318 * [backup-simplify]: Simplify (+ 1 0) into 1 5.319 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.321 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.323 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.323 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.324 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.325 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.326 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.326 * [backup-simplify]: Simplify (- 0) into 0 5.327 * [backup-simplify]: Simplify (+ 1 0) into 1 5.328 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.333 * [backup-simplify]: Simplify (- 0) into 0 5.333 * [backup-simplify]: Simplify (+ 0 0) into 0 5.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.338 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.340 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.347 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.347 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.348 * [backup-simplify]: Simplify (- 0) into 0 5.348 * [backup-simplify]: Simplify (+ 0 0) into 0 5.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.359 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.360 * [backup-simplify]: Simplify (- 0) into 0 5.360 * [backup-simplify]: Simplify (+ 0 0) into 0 5.363 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.365 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.367 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.378 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 5.379 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.379 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.380 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.380 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.380 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 5.380 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 5.380 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.380 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.381 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.381 * [taylor]: Taking taylor expansion of N in N 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 1 into 1 5.381 * [taylor]: Taking taylor expansion of 1 in N 5.381 * [backup-simplify]: Simplify 1 into 1 5.381 * [backup-simplify]: Simplify (+ 0 1) into 1 5.381 * [backup-simplify]: Simplify (sqrt 1) into 1 5.381 * [backup-simplify]: Simplify (+ 1 0) into 1 5.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.382 * [backup-simplify]: Simplify (log 1) into 0 5.382 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.382 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.382 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.382 * [taylor]: Taking taylor expansion of N in N 5.382 * [backup-simplify]: Simplify 0 into 0 5.382 * [backup-simplify]: Simplify 1 into 1 5.382 * [taylor]: Taking taylor expansion of 1 in N 5.382 * [backup-simplify]: Simplify 1 into 1 5.382 * [backup-simplify]: Simplify (+ 0 1) into 1 5.383 * [backup-simplify]: Simplify (sqrt 1) into 1 5.383 * [backup-simplify]: Simplify (+ 1 0) into 1 5.383 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.383 * [backup-simplify]: Simplify (log 1) into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.385 * [backup-simplify]: Simplify 1/2 into 1/2 5.385 * [backup-simplify]: Simplify (+ 0 0) into 0 5.386 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.389 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.389 * [backup-simplify]: Simplify -1/4 into -1/4 5.389 * [backup-simplify]: Simplify (+ 0 0) into 0 5.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.395 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.396 * [backup-simplify]: Simplify 1/6 into 1/6 5.396 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 5.396 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 5.396 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.396 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.396 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.396 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.396 * [taylor]: Taking taylor expansion of N in N 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.397 * [backup-simplify]: Simplify (/ 1 1) into 1 5.397 * [taylor]: Taking taylor expansion of 1 in N 5.397 * [backup-simplify]: Simplify 1 into 1 5.397 * [backup-simplify]: Simplify (+ 1 0) into 1 5.397 * [backup-simplify]: Simplify (sqrt 0) into 0 5.399 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.399 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.399 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.399 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.399 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.399 * [taylor]: Taking taylor expansion of N in N 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [backup-simplify]: Simplify (/ 1 1) into 1 5.400 * [taylor]: Taking taylor expansion of 1 in N 5.400 * [backup-simplify]: Simplify 1 into 1 5.401 * [backup-simplify]: Simplify (+ 1 0) into 1 5.401 * [backup-simplify]: Simplify (sqrt 0) into 0 5.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.403 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.403 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.404 * [backup-simplify]: Simplify (+ 0 1) into 1 5.407 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.412 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.413 * [backup-simplify]: Simplify (+ 0 0) into 0 5.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.424 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.424 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.424 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 5.424 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 5.424 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.424 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.424 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.424 * [taylor]: Taking taylor expansion of 1 in N 5.424 * [backup-simplify]: Simplify 1 into 1 5.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.424 * [taylor]: Taking taylor expansion of N in N 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 1 into 1 5.425 * [backup-simplify]: Simplify (/ 1 1) into 1 5.425 * [backup-simplify]: Simplify (- 1) into -1 5.425 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.425 * [backup-simplify]: Simplify (sqrt 0) into 0 5.426 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.426 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.426 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.426 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.426 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.426 * [taylor]: Taking taylor expansion of 1 in N 5.426 * [backup-simplify]: Simplify 1 into 1 5.426 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.426 * [taylor]: Taking taylor expansion of N in N 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 1 into 1 5.427 * [backup-simplify]: Simplify (/ 1 1) into 1 5.427 * [backup-simplify]: Simplify (- 1) into -1 5.427 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.427 * [backup-simplify]: Simplify (sqrt 0) into 0 5.428 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.429 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.429 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.430 * [backup-simplify]: Simplify (- 0) into 0 5.430 * [backup-simplify]: Simplify (+ 1 0) into 1 5.432 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.437 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.438 * [backup-simplify]: Simplify (- 0) into 0 5.438 * [backup-simplify]: Simplify (+ 0 0) into 0 5.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.448 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.449 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.449 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.449 * [backup-simplify]: Simplify (/ (sqrt (+ 1 N)) N) into (* (sqrt (+ N 1)) (/ 1 N)) 5.449 * [approximate]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in (N) around 0 5.449 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.449 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.449 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.449 * [taylor]: Taking taylor expansion of N in N 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 1 into 1 5.449 * [taylor]: Taking taylor expansion of 1 in N 5.449 * [backup-simplify]: Simplify 1 into 1 5.449 * [backup-simplify]: Simplify (+ 0 1) into 1 5.450 * [backup-simplify]: Simplify (sqrt 1) into 1 5.450 * [backup-simplify]: Simplify (+ 1 0) into 1 5.450 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.450 * [taylor]: Taking taylor expansion of N in N 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 1 into 1 5.451 * [backup-simplify]: Simplify (/ 1 1) into 1 5.451 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.451 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.451 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.451 * [taylor]: Taking taylor expansion of N in N 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify 1 into 1 5.451 * [taylor]: Taking taylor expansion of 1 in N 5.451 * [backup-simplify]: Simplify 1 into 1 5.451 * [backup-simplify]: Simplify (+ 0 1) into 1 5.451 * [backup-simplify]: Simplify (sqrt 1) into 1 5.452 * [backup-simplify]: Simplify (+ 1 0) into 1 5.452 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.452 * [taylor]: Taking taylor expansion of N in N 5.452 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify 1 into 1 5.452 * [backup-simplify]: Simplify (/ 1 1) into 1 5.453 * [backup-simplify]: Simplify (* 1 1) into 1 5.453 * [backup-simplify]: Simplify 1 into 1 5.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.454 * [backup-simplify]: Simplify 1/2 into 1/2 5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.454 * [backup-simplify]: Simplify (+ 0 0) into 0 5.455 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.456 * [backup-simplify]: Simplify -1/8 into -1/8 5.456 * [backup-simplify]: Simplify (+ (* -1/8 N) (+ 1/2 (* 1 (/ 1 N)))) into (- (+ (/ 1 N) 1/2) (* 1/8 N)) 5.456 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1))) 5.456 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.456 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.456 * [taylor]: Taking taylor expansion of N in N 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.456 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.456 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.456 * [taylor]: Taking taylor expansion of N in N 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.457 * [backup-simplify]: Simplify (/ 1 1) into 1 5.457 * [taylor]: Taking taylor expansion of 1 in N 5.457 * [backup-simplify]: Simplify 1 into 1 5.457 * [backup-simplify]: Simplify (+ 1 0) into 1 5.457 * [backup-simplify]: Simplify (sqrt 0) into 0 5.459 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.459 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.459 * [taylor]: Taking taylor expansion of N in N 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.459 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.459 * [taylor]: Taking taylor expansion of N in N 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.459 * [backup-simplify]: Simplify (/ 1 1) into 1 5.459 * [taylor]: Taking taylor expansion of 1 in N 5.459 * [backup-simplify]: Simplify 1 into 1 5.460 * [backup-simplify]: Simplify (+ 1 0) into 1 5.460 * [backup-simplify]: Simplify (sqrt 0) into 0 5.462 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.462 * [backup-simplify]: Simplify (* 0 0) into 0 5.462 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.463 * [backup-simplify]: Simplify 0 into 0 5.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify (+ 0 1) into 1 5.468 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.473 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.474 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.475 * [backup-simplify]: Simplify (+ 0 0) into 0 5.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.482 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.482 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.483 * [backup-simplify]: Simplify (+ 0 0) into 0 5.486 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.489 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.489 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.490 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.490 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1 (/ 1 N))))) 5.490 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in (N) around 0 5.490 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.490 * [taylor]: Taking taylor expansion of -1 in N 5.490 * [backup-simplify]: Simplify -1 into -1 5.490 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.490 * [taylor]: Taking taylor expansion of N in N 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 1 into 1 5.490 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.490 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.490 * [taylor]: Taking taylor expansion of 1 in N 5.490 * [backup-simplify]: Simplify 1 into 1 5.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.490 * [taylor]: Taking taylor expansion of N in N 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 1 into 1 5.491 * [backup-simplify]: Simplify (/ 1 1) into 1 5.491 * [backup-simplify]: Simplify (- 1) into -1 5.491 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.492 * [backup-simplify]: Simplify (sqrt 0) into 0 5.492 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.492 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.492 * [taylor]: Taking taylor expansion of -1 in N 5.492 * [backup-simplify]: Simplify -1 into -1 5.492 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.493 * [taylor]: Taking taylor expansion of N in N 5.493 * [backup-simplify]: Simplify 0 into 0 5.493 * [backup-simplify]: Simplify 1 into 1 5.493 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.493 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.493 * [taylor]: Taking taylor expansion of 1 in N 5.493 * [backup-simplify]: Simplify 1 into 1 5.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.493 * [taylor]: Taking taylor expansion of N in N 5.493 * [backup-simplify]: Simplify 0 into 0 5.493 * [backup-simplify]: Simplify 1 into 1 5.493 * [backup-simplify]: Simplify (/ 1 1) into 1 5.493 * [backup-simplify]: Simplify (- 1) into -1 5.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.494 * [backup-simplify]: Simplify (sqrt 0) into 0 5.495 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.495 * [backup-simplify]: Simplify (* 0 0) into 0 5.495 * [backup-simplify]: Simplify (* -1 0) into 0 5.495 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.496 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.497 * [backup-simplify]: Simplify (- 0) into 0 5.497 * [backup-simplify]: Simplify (+ 1 0) into 1 5.499 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.500 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.502 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.502 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.503 * [backup-simplify]: Simplify (- 0) into 0 5.503 * [backup-simplify]: Simplify (+ 0 0) into 0 5.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.508 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.510 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.510 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.511 * [backup-simplify]: Simplify (- 0) into 0 5.511 * [backup-simplify]: Simplify (+ 0 0) into 0 5.514 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.516 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.518 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.518 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.519 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.519 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.519 * [backup-simplify]: Simplify (sqrt (+ 1 N)) into (sqrt (+ N 1)) 5.519 * [approximate]: Taking taylor expansion of (sqrt (+ N 1)) in (N) around 0 5.519 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.519 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.519 * [taylor]: Taking taylor expansion of N in N 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 1 into 1 5.519 * [taylor]: Taking taylor expansion of 1 in N 5.519 * [backup-simplify]: Simplify 1 into 1 5.520 * [backup-simplify]: Simplify (+ 0 1) into 1 5.520 * [backup-simplify]: Simplify (sqrt 1) into 1 5.520 * [backup-simplify]: Simplify (+ 1 0) into 1 5.521 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.521 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.521 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.521 * [taylor]: Taking taylor expansion of N in N 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 1 into 1 5.521 * [taylor]: Taking taylor expansion of 1 in N 5.521 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (+ 0 1) into 1 5.522 * [backup-simplify]: Simplify (sqrt 1) into 1 5.523 * [backup-simplify]: Simplify (+ 1 0) into 1 5.523 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.523 * [backup-simplify]: Simplify 1 into 1 5.523 * [backup-simplify]: Simplify 1/2 into 1/2 5.524 * [backup-simplify]: Simplify (+ 0 0) into 0 5.525 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.525 * [backup-simplify]: Simplify -1/8 into -1/8 5.525 * [backup-simplify]: Simplify (+ (* -1/8 (pow N 2)) (+ (* 1/2 N) 1)) into (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) 5.525 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 N))) into (sqrt (+ (/ 1 N) 1)) 5.525 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in (N) around 0 5.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.525 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.526 * [taylor]: Taking taylor expansion of N in N 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [backup-simplify]: Simplify (/ 1 1) into 1 5.526 * [taylor]: Taking taylor expansion of 1 in N 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [backup-simplify]: Simplify (+ 1 0) into 1 5.527 * [backup-simplify]: Simplify (sqrt 0) into 0 5.528 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.528 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.528 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.528 * [taylor]: Taking taylor expansion of N in N 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify 1 into 1 5.529 * [backup-simplify]: Simplify (/ 1 1) into 1 5.529 * [taylor]: Taking taylor expansion of 1 in N 5.529 * [backup-simplify]: Simplify 1 into 1 5.529 * [backup-simplify]: Simplify (+ 1 0) into 1 5.530 * [backup-simplify]: Simplify (sqrt 0) into 0 5.531 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.532 * [backup-simplify]: Simplify (+ 0 1) into 1 5.535 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.536 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.537 * [backup-simplify]: Simplify (+ 0 0) into 0 5.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.541 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.541 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.541 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 (- N)))) into (sqrt (- 1 (/ 1 N))) 5.541 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in (N) around 0 5.541 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.542 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.542 * [taylor]: Taking taylor expansion of 1 in N 5.542 * [backup-simplify]: Simplify 1 into 1 5.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.542 * [taylor]: Taking taylor expansion of N in N 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 1 into 1 5.542 * [backup-simplify]: Simplify (/ 1 1) into 1 5.542 * [backup-simplify]: Simplify (- 1) into -1 5.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.543 * [backup-simplify]: Simplify (sqrt 0) into 0 5.545 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.545 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.545 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.545 * [taylor]: Taking taylor expansion of 1 in N 5.545 * [backup-simplify]: Simplify 1 into 1 5.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.545 * [taylor]: Taking taylor expansion of N in N 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 1 into 1 5.545 * [backup-simplify]: Simplify (/ 1 1) into 1 5.546 * [backup-simplify]: Simplify (- 1) into -1 5.546 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.546 * [backup-simplify]: Simplify (sqrt 0) into 0 5.548 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.549 * [backup-simplify]: Simplify (- 0) into 0 5.549 * [backup-simplify]: Simplify (+ 1 0) into 1 5.553 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.553 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.554 * [backup-simplify]: Simplify (- 0) into 0 5.555 * [backup-simplify]: Simplify (+ 0 0) into 0 5.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.559 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.559 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.559 * * * [progress]: simplifying candidates 5.559 * * * * [progress]: [ 1 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 2 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 3 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 4 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 5 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 6 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 7 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 8 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 9 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 10 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 11 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 12 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 13 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 14 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 15 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 16 / 164 ] simplifiying candidate # 5.560 * * * * [progress]: [ 17 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 18 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 19 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 20 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 21 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 22 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 23 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 24 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 25 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 26 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 27 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 28 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 29 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 30 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 31 / 164 ] simplifiying candidate # 5.561 * * * * [progress]: [ 32 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 33 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 34 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 35 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 36 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 37 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 38 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 39 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 40 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 41 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 42 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 43 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 44 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 45 / 164 ] simplifiying candidate # 5.562 * * * * [progress]: [ 46 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 47 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 48 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 49 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 50 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 51 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 52 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 53 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 54 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 55 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 56 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 57 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 58 / 164 ] simplifiying candidate #real (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))))> 5.563 * * * * [progress]: [ 59 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 60 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 61 / 164 ] simplifiying candidate # 5.563 * * * * [progress]: [ 62 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 63 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 64 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 65 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 66 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 67 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 68 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 69 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 70 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 71 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 72 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 73 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 74 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 75 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 76 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 77 / 164 ] simplifiying candidate # 5.564 * * * * [progress]: [ 78 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 79 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 80 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 81 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 82 / 164 ] simplifiying candidate #real (real->posit16 (log (sqrt (+ 1 N))))) (log (/ (sqrt (+ 1 N)) N))))> 5.565 * * * * [progress]: [ 83 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 84 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 85 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 86 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 87 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 88 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 89 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 90 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 91 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 92 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 93 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 94 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 95 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 96 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 97 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 98 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 99 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 100 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 101 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 102 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 103 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 104 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 105 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 106 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 107 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 108 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 109 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 110 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 111 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 112 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 113 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 114 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 115 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 116 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 117 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 118 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 119 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 120 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 121 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 122 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 123 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 124 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 125 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 126 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 127 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 128 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 129 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 130 / 164 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ 1 N)) N))))))> 5.568 * * * * [progress]: [ 131 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 132 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 133 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 134 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 135 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 136 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 137 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 138 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 139 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 140 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 141 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 142 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 143 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 144 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 145 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 146 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 147 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 148 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 149 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 150 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 151 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 152 / 164 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 N)))) N))))> 5.569 * * * * [progress]: [ 153 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 154 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 155 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 156 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 157 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 158 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 159 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 160 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 161 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 162 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 163 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 164 / 164 ] simplifiying candidate # 5.572 * [simplify]: Simplifying: (expm1 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (log1p (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N)) (log (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (exp (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (* (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (pow (log (sqrt (+ 1 N))) 3) (pow (log (/ (sqrt (+ 1 N)) N)) 3)) (+ (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (* (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (- (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)))) (- (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) 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(sqrt (- 1 N))) (log (+ 1 N)) (log (sqrt (+ 1 N))) (log (+ 1 N)) (log (log (sqrt (+ 1 N)))) (exp (log (sqrt (+ 1 N)))) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (expm1 (/ (sqrt (+ 1 N)) N)) (log1p (/ (sqrt (+ 1 N)) N)) (- (log (sqrt (+ 1 N))) (log N)) (log (/ (sqrt (+ 1 N)) N)) (exp (/ (sqrt (+ 1 N)) N)) (/ (* (* (sqrt (+ 1 N)) (sqrt (+ 1 N))) (sqrt (+ 1 N))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))) (cbrt (/ (sqrt (+ 1 N)) N)) (* (* (/ (sqrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) N)) (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (- (sqrt (+ 1 N))) (- N) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)) (/ 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N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) 1) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ 1 1) (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* N (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (* N (sqrt (- 1 N))) (real->posit16 (/ (sqrt (+ 1 N)) N)) (expm1 (sqrt (+ 1 N))) (log1p (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (* (sqrt (+ 1 N)) (sqrt (+ 1 N))) (sqrt (+ 1 N))) (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt 1) (sqrt (+ 1 N)) (sqrt 1) (sqrt (+ 1 N)) (sqrt (+ (pow 1 3) (pow N 3))) (sqrt (+ (* 1 1) (- (* N N) (* 1 N)))) (sqrt (- (* 1 1) (* N N))) (sqrt (- 1 N)) (/ 1 2) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (/ 1 N) 1/2) (* 1/8 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.575 * * [simplify]: iteration 0: 223 enodes 5.643 * * [simplify]: iteration 1: 479 enodes 5.867 * * [simplify]: iteration 2: 1234 enodes 6.944 * * [simplify]: iteration 3: 4875 enodes 8.176 * * [simplify]: iteration complete: 5000 enodes 8.176 * * [simplify]: Extracting #0: cost 116 inf + 0 8.179 * * [simplify]: Extracting #1: cost 703 inf + 3 8.189 * * [simplify]: Extracting #2: cost 1436 inf + 1551 8.211 * * [simplify]: Extracting #3: cost 1215 inf + 45001 8.252 * * [simplify]: Extracting #4: cost 911 inf + 110379 8.329 * * [simplify]: Extracting #5: cost 394 inf + 257503 8.419 * * [simplify]: Extracting #6: cost 30 inf + 382183 8.554 * * [simplify]: Extracting #7: cost 0 inf + 389333 8.670 * [simplify]: Simplified to: (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (/ (+ 1 N) N) (log (- (log1p N) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (- (log1p N) (log N)) 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(log (/ (sqrt (+ 1 N)) N)) (log (sqrt (cbrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (- (log1p N) (log N)) (- (log1p N) (log N)) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (- (log1p N) (log N)) (log1p N) (- (log (sqrt (- (fma N N 1) N))) (log (/ (sqrt (+ 1 N)) N))) (- (log (sqrt (- 1 N))) (log (/ (sqrt (+ 1 N)) N))) (real->posit16 (- (log1p N) (log N))) (expm1 (log (sqrt (+ 1 N)))) (log1p (log (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) 0 (log (sqrt (+ 1 N))) (log (sqrt (fma N (* N N) 1))) (log (sqrt (- (fma N N 1) N))) (log (sqrt (- 1 (* N N)))) (log (sqrt (- 1 N))) (log1p N) (log (sqrt (+ 1 N))) (log1p N) (log (log (sqrt (+ 1 N)))) (sqrt (+ 1 N)) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (log (sqrt (+ 1 N))) (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (expm1 (/ (sqrt (+ 1 N)) N)) (log1p (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)) (exp (/ (sqrt (+ 1 N)) N)) (* (/ (/ (+ 1 N) N) (* N N)) (sqrt (+ 1 N))) (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))) (cbrt (/ (sqrt (+ 1 N)) N)) (* (/ (/ (+ 1 N) N) (* N N)) (sqrt (+ 1 N))) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (- (sqrt (+ 1 N))) (- N) (* (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (cbrt (sqrt (+ 1 N))) (cbrt N))) (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (* (cbrt (sqrt (+ 1 N))) (/ (cbrt (sqrt (+ 1 N))) (sqrt N))) (/ (cbrt (sqrt (+ 1 N))) (sqrt N)) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (/ (cbrt (sqrt (+ 1 N))) N) (/ (/ (fabs (cbrt (+ 1 N))) (cbrt N)) (cbrt N)) (/ (sqrt (cbrt (+ 1 N))) (cbrt N)) (/ (fabs (cbrt (+ 1 N))) (sqrt N)) (/ (sqrt (cbrt (+ 1 N))) (sqrt N)) (fabs (cbrt (+ 1 N))) (/ (sqrt (cbrt (+ 1 N))) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* (sqrt (- (fma N N 1) N)) N) (* (sqrt (- 1 N)) N) (real->posit16 (/ (sqrt (+ 1 N)) N)) (expm1 (sqrt (+ 1 N))) (log1p (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (sqrt (+ 1 N)) (+ 1 N)) (fabs (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) 1 (sqrt (+ 1 N)) 1 (sqrt (+ 1 N)) (sqrt (fma N (* N N) 1)) (sqrt (- (fma N N 1) N)) (sqrt (- 1 (* N N))) (sqrt (- 1 N)) 1/2 (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (- N (fma (* N N) 1/2 (log N))) (+ (- (+ (log (- +nan.0)) (- (log +nan.0) (log N))) (/ +nan.0 (* N N))) (/ +nan.0 N)) (- (+ (log +nan.0) (log (- +nan.0))) (- (fma (/ -1 N) +nan.0 (/ +nan.0 (* N N))) (log (/ -1 N)))) (fma (* N N) -1/4 (* N (+ (* 1/6 (* N N)) 1/2))) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (+ (/ 1 N) (fma N -1/8 1/2)) (fma (/ -1 (* N N)) +nan.0 (- (/ +nan.0 (* (* N N) N)) (/ +nan.0 N))) (fma (/ -1 (* N N)) +nan.0 (- (/ +nan.0 (* (* N N) N)) (/ +nan.0 N))) (fma (* N N) -1/8 (fma N 1/2 1)) (- (- (/ +nan.0 N) (/ +nan.0 (* N N))) +nan.0) (- (- (/ +nan.0 N) (/ +nan.0 (* N N))) +nan.0) 8.688 * * * [progress]: adding candidates to table 9.331 * * [progress]: iteration 4 / 4 9.331 * * * [progress]: picking best candidate 9.346 * * * * [pick]: Picked # 9.346 * * * [progress]: localizing error 9.394 * * * [progress]: generating rewritten candidates 9.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.419 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 9.427 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.435 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 9.459 * * * [progress]: generating series expansions 9.459 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.459 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 N))) (log (sqrt N))) into (- (log (sqrt (+ N 1))) (log (sqrt N))) 9.459 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in (N) around 0 9.459 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in N 9.459 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.459 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.459 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.459 * [taylor]: Taking taylor expansion of N in N 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 1 into 1 9.459 * [taylor]: Taking taylor expansion of 1 in N 9.459 * [backup-simplify]: Simplify 1 into 1 9.460 * [backup-simplify]: Simplify (+ 0 1) into 1 9.460 * [backup-simplify]: Simplify (sqrt 1) into 1 9.460 * [backup-simplify]: Simplify (+ 1 0) into 1 9.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.461 * [backup-simplify]: Simplify (log 1) into 0 9.461 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.461 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.461 * [taylor]: Taking taylor expansion of N in N 9.461 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify 1 into 1 9.461 * [backup-simplify]: Simplify (sqrt 0) into 0 9.462 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.462 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.462 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in N 9.462 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.462 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.462 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.462 * [taylor]: Taking taylor expansion of N in N 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.462 * [taylor]: Taking taylor expansion of 1 in N 9.462 * [backup-simplify]: Simplify 1 into 1 9.463 * [backup-simplify]: Simplify (+ 0 1) into 1 9.463 * [backup-simplify]: Simplify (sqrt 1) into 1 9.463 * [backup-simplify]: Simplify (+ 1 0) into 1 9.464 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.464 * [backup-simplify]: Simplify (log 1) into 0 9.464 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.464 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.464 * [taylor]: Taking taylor expansion of N in N 9.464 * [backup-simplify]: Simplify 0 into 0 9.464 * [backup-simplify]: Simplify 1 into 1 9.464 * [backup-simplify]: Simplify (sqrt 0) into 0 9.465 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.465 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.466 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.466 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 9.466 * [backup-simplify]: Simplify (+ 0 (- (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0))) 9.467 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 9.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.474 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.478 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.478 * [backup-simplify]: Simplify (+ 1/2 (- +nan.0)) into (- +nan.0) 9.479 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.479 * [backup-simplify]: Simplify (+ 0 0) into 0 9.480 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.481 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.499 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.499 * [backup-simplify]: Simplify (+ -1/4 (- +nan.0)) into (- +nan.0) 9.500 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.502 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (+ (log N) (log +nan.0))))) into (- (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) 9.502 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 (/ 1 N)))) (log (sqrt (/ 1 N)))) into (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) 9.502 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in (N) around 0 9.502 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in N 9.502 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.502 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.502 * [taylor]: Taking taylor expansion of N in N 9.502 * [backup-simplify]: Simplify 0 into 0 9.502 * [backup-simplify]: Simplify 1 into 1 9.503 * [backup-simplify]: Simplify (/ 1 1) into 1 9.503 * [taylor]: Taking taylor expansion of 1 in N 9.503 * [backup-simplify]: Simplify 1 into 1 9.503 * [backup-simplify]: Simplify (+ 1 0) into 1 9.503 * [backup-simplify]: Simplify (sqrt 0) into 0 9.505 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.505 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.505 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.505 * [taylor]: Taking taylor expansion of N in N 9.505 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify 1 into 1 9.506 * [backup-simplify]: Simplify (/ 1 1) into 1 9.506 * [backup-simplify]: Simplify (sqrt 0) into 0 9.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.508 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.508 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in N 9.508 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.508 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.508 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.508 * [taylor]: Taking taylor expansion of N in N 9.508 * [backup-simplify]: Simplify 0 into 0 9.508 * [backup-simplify]: Simplify 1 into 1 9.508 * [backup-simplify]: Simplify (/ 1 1) into 1 9.508 * [taylor]: Taking taylor expansion of 1 in N 9.508 * [backup-simplify]: Simplify 1 into 1 9.509 * [backup-simplify]: Simplify (+ 1 0) into 1 9.509 * [backup-simplify]: Simplify (sqrt 0) into 0 9.510 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.510 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.510 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.510 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.510 * [taylor]: Taking taylor expansion of N in N 9.510 * [backup-simplify]: Simplify 0 into 0 9.510 * [backup-simplify]: Simplify 1 into 1 9.510 * [backup-simplify]: Simplify (/ 1 1) into 1 9.510 * [backup-simplify]: Simplify (sqrt 0) into 0 9.511 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.511 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.512 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.514 * [backup-simplify]: Simplify (+ (log +nan.0) (- (log +nan.0))) into 0 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.514 * [backup-simplify]: Simplify (+ 0 1) into 1 9.517 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.520 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.523 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.526 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.526 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.527 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.527 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.528 * [backup-simplify]: Simplify (+ 0 0) into 0 9.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.540 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.559 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.559 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.560 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.560 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.562 * [backup-simplify]: Simplify (+ 0 0) into 0 9.566 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.596 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.602 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.626 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.631 * [backup-simplify]: Simplify (- (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.641 * [backup-simplify]: Simplify (+ (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.645 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.650 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (* (pow N 3) (pow +nan.0 2)))) (- (* +nan.0 (/ 1 N))))))))) 9.651 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 (/ 1 (- N))))) (log (sqrt (/ 1 (- N))))) into (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) 9.651 * [approximate]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 9.651 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 9.651 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.651 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.651 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.651 * [taylor]: Taking taylor expansion of 1 in N 9.651 * [backup-simplify]: Simplify 1 into 1 9.651 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.651 * [taylor]: Taking taylor expansion of N in N 9.651 * [backup-simplify]: Simplify 0 into 0 9.651 * [backup-simplify]: Simplify 1 into 1 9.651 * [backup-simplify]: Simplify (/ 1 1) into 1 9.652 * [backup-simplify]: Simplify (- 1) into -1 9.652 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.653 * [backup-simplify]: Simplify (sqrt 0) into 0 9.654 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.654 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.654 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.654 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.654 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.654 * [taylor]: Taking taylor expansion of -1 in N 9.654 * [backup-simplify]: Simplify -1 into -1 9.654 * [taylor]: Taking taylor expansion of N in N 9.654 * [backup-simplify]: Simplify 0 into 0 9.655 * [backup-simplify]: Simplify 1 into 1 9.655 * [backup-simplify]: Simplify (/ -1 1) into -1 9.655 * [backup-simplify]: Simplify (sqrt 0) into 0 9.657 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.657 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.657 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 9.657 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.657 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.657 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.657 * [taylor]: Taking taylor expansion of 1 in N 9.657 * [backup-simplify]: Simplify 1 into 1 9.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.657 * [taylor]: Taking taylor expansion of N in N 9.657 * [backup-simplify]: Simplify 0 into 0 9.657 * [backup-simplify]: Simplify 1 into 1 9.658 * [backup-simplify]: Simplify (/ 1 1) into 1 9.658 * [backup-simplify]: Simplify (- 1) into -1 9.659 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.659 * [backup-simplify]: Simplify (sqrt 0) into 0 9.660 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.661 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.661 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.661 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.661 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.661 * [taylor]: Taking taylor expansion of -1 in N 9.661 * [backup-simplify]: Simplify -1 into -1 9.661 * [taylor]: Taking taylor expansion of N in N 9.661 * [backup-simplify]: Simplify 0 into 0 9.661 * [backup-simplify]: Simplify 1 into 1 9.661 * [backup-simplify]: Simplify (/ -1 1) into -1 9.662 * [backup-simplify]: Simplify (sqrt 0) into 0 9.663 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.663 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.664 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.665 * [backup-simplify]: Simplify (+ (log +nan.0) (- (log +nan.0))) into 0 9.665 * [backup-simplify]: Simplify 0 into 0 9.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.666 * [backup-simplify]: Simplify (- 0) into 0 9.666 * [backup-simplify]: Simplify (+ 1 0) into 1 9.668 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.674 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.677 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.678 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.678 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.679 * [backup-simplify]: Simplify (- 0) into 0 9.679 * [backup-simplify]: Simplify (+ 0 0) into 0 9.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.689 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.700 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.700 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.705 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.706 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.707 * [backup-simplify]: Simplify (- 0) into 0 9.707 * [backup-simplify]: Simplify (+ 0 0) into 0 9.709 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.730 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.734 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.747 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.750 * [backup-simplify]: Simplify (- (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.756 * [backup-simplify]: Simplify (+ (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.759 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.763 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (* (pow N 3) (pow +nan.0 2)))) (- (* +nan.0 (/ 1 N))))))))) 9.763 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 9.764 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 N)) (sqrt N))) into (log (sqrt (/ (+ N 1) N))) 9.764 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 9.764 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.764 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.764 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.764 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.764 * [taylor]: Taking taylor expansion of N in N 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 1 into 1 9.764 * [taylor]: Taking taylor expansion of 1 in N 9.764 * [backup-simplify]: Simplify 1 into 1 9.764 * [taylor]: Taking taylor expansion of N in N 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 1 into 1 9.764 * [backup-simplify]: Simplify (+ 0 1) into 1 9.765 * [backup-simplify]: Simplify (/ 1 1) into 1 9.765 * [backup-simplify]: Simplify (sqrt 0) into 0 9.766 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.767 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.767 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.767 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.767 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.767 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.767 * [taylor]: Taking taylor expansion of N in N 9.767 * [backup-simplify]: Simplify 0 into 0 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [taylor]: Taking taylor expansion of 1 in N 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [taylor]: Taking taylor expansion of N in N 9.767 * [backup-simplify]: Simplify 0 into 0 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [backup-simplify]: Simplify (+ 0 1) into 1 9.768 * [backup-simplify]: Simplify (/ 1 1) into 1 9.768 * [backup-simplify]: Simplify (sqrt 0) into 0 9.769 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.770 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.770 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.770 * [backup-simplify]: Simplify (+ 1 0) into 1 9.771 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.774 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.781 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.781 * [backup-simplify]: Simplify (+ 0 0) into 0 9.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.800 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.800 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.800 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 9.801 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 (/ 1 N))) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 9.801 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 9.801 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.801 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.801 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.801 * [taylor]: Taking taylor expansion of N in N 9.801 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify 1 into 1 9.801 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.801 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.801 * [taylor]: Taking taylor expansion of N in N 9.801 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify 1 into 1 9.801 * [backup-simplify]: Simplify (/ 1 1) into 1 9.801 * [taylor]: Taking taylor expansion of 1 in N 9.802 * [backup-simplify]: Simplify 1 into 1 9.802 * [backup-simplify]: Simplify (+ 1 0) into 1 9.802 * [backup-simplify]: Simplify (* 0 1) into 0 9.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.804 * [backup-simplify]: Simplify (+ 0 1) into 1 9.804 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.805 * [backup-simplify]: Simplify (sqrt 1) into 1 9.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.806 * [backup-simplify]: Simplify (+ 0 0) into 0 9.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.807 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.808 * [backup-simplify]: Simplify (log 1) into 0 9.808 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.808 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.808 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.808 * [taylor]: Taking taylor expansion of N in N 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify 1 into 1 9.808 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.808 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.808 * [taylor]: Taking taylor expansion of N in N 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify 1 into 1 9.809 * [backup-simplify]: Simplify (/ 1 1) into 1 9.809 * [taylor]: Taking taylor expansion of 1 in N 9.809 * [backup-simplify]: Simplify 1 into 1 9.809 * [backup-simplify]: Simplify (+ 1 0) into 1 9.810 * [backup-simplify]: Simplify (* 0 1) into 0 9.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.811 * [backup-simplify]: Simplify (+ 0 1) into 1 9.811 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.812 * [backup-simplify]: Simplify (sqrt 1) into 1 9.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.813 * [backup-simplify]: Simplify (+ 0 0) into 0 9.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.820 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.821 * [backup-simplify]: Simplify (log 1) into 0 9.821 * [backup-simplify]: Simplify 0 into 0 9.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.822 * [backup-simplify]: Simplify 1/2 into 1/2 9.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.823 * [backup-simplify]: Simplify (+ 0 0) into 0 9.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.826 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.829 * [backup-simplify]: Simplify -1/4 into -1/4 9.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.830 * [backup-simplify]: Simplify (+ 0 0) into 0 9.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.839 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.839 * [backup-simplify]: Simplify 1/6 into 1/6 9.839 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 9.839 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 (/ 1 (- N)))) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 9.839 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 9.839 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 9.840 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.840 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.840 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.840 * [taylor]: Taking taylor expansion of 1 in N 9.840 * [backup-simplify]: Simplify 1 into 1 9.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.840 * [taylor]: Taking taylor expansion of N in N 9.840 * [backup-simplify]: Simplify 0 into 0 9.840 * [backup-simplify]: Simplify 1 into 1 9.840 * [backup-simplify]: Simplify (/ 1 1) into 1 9.841 * [backup-simplify]: Simplify (- 1) into -1 9.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.841 * [backup-simplify]: Simplify (sqrt 0) into 0 9.843 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.843 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.843 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.843 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.843 * [taylor]: Taking taylor expansion of -1 in N 9.843 * [backup-simplify]: Simplify -1 into -1 9.843 * [taylor]: Taking taylor expansion of N in N 9.843 * [backup-simplify]: Simplify 0 into 0 9.843 * [backup-simplify]: Simplify 1 into 1 9.843 * [backup-simplify]: Simplify (/ -1 1) into -1 9.844 * [backup-simplify]: Simplify (sqrt 0) into 0 9.845 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.845 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.846 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.849 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.851 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.853 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.854 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.854 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 9.854 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.854 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.854 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.854 * [taylor]: Taking taylor expansion of 1 in N 9.854 * [backup-simplify]: Simplify 1 into 1 9.854 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.854 * [taylor]: Taking taylor expansion of N in N 9.854 * [backup-simplify]: Simplify 0 into 0 9.854 * [backup-simplify]: Simplify 1 into 1 9.854 * [backup-simplify]: Simplify (/ 1 1) into 1 9.855 * [backup-simplify]: Simplify (- 1) into -1 9.855 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.856 * [backup-simplify]: Simplify (sqrt 0) into 0 9.857 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.857 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.857 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.857 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.857 * [taylor]: Taking taylor expansion of -1 in N 9.857 * [backup-simplify]: Simplify -1 into -1 9.857 * [taylor]: Taking taylor expansion of N in N 9.857 * [backup-simplify]: Simplify 0 into 0 9.857 * [backup-simplify]: Simplify 1 into 1 9.857 * [backup-simplify]: Simplify (/ -1 1) into -1 9.858 * [backup-simplify]: Simplify (sqrt 0) into 0 9.859 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.860 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.860 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.864 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.866 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.867 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.868 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.869 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.877 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.879 * [backup-simplify]: Simplify (- 0) into 0 9.879 * [backup-simplify]: Simplify (+ 1 0) into 1 9.882 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.885 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 9.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.893 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.899 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.905 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.906 * [backup-simplify]: Simplify (- 0) into 0 9.906 * [backup-simplify]: Simplify (+ 0 0) into 0 9.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.912 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 9.923 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 9.923 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.923 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.923 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.924 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 9.924 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 9.924 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.924 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.924 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.924 * [taylor]: Taking taylor expansion of N in N 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify 1 into 1 9.924 * [taylor]: Taking taylor expansion of 1 in N 9.924 * [backup-simplify]: Simplify 1 into 1 9.924 * [backup-simplify]: Simplify (+ 0 1) into 1 9.924 * [backup-simplify]: Simplify (sqrt 1) into 1 9.925 * [backup-simplify]: Simplify (+ 1 0) into 1 9.925 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.925 * [backup-simplify]: Simplify (log 1) into 0 9.925 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.925 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.925 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.925 * [taylor]: Taking taylor expansion of N in N 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [taylor]: Taking taylor expansion of 1 in N 9.925 * [backup-simplify]: Simplify 1 into 1 9.926 * [backup-simplify]: Simplify (+ 0 1) into 1 9.926 * [backup-simplify]: Simplify (sqrt 1) into 1 9.926 * [backup-simplify]: Simplify (+ 1 0) into 1 9.926 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.927 * [backup-simplify]: Simplify (log 1) into 0 9.927 * [backup-simplify]: Simplify 0 into 0 9.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.928 * [backup-simplify]: Simplify 1/2 into 1/2 9.928 * [backup-simplify]: Simplify (+ 0 0) into 0 9.929 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.931 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.931 * [backup-simplify]: Simplify -1/4 into -1/4 9.931 * [backup-simplify]: Simplify (+ 0 0) into 0 9.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.935 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.935 * [backup-simplify]: Simplify 1/6 into 1/6 9.935 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 9.936 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 9.936 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 9.936 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.936 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.936 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.936 * [taylor]: Taking taylor expansion of N in N 9.936 * [backup-simplify]: Simplify 0 into 0 9.936 * [backup-simplify]: Simplify 1 into 1 9.936 * [backup-simplify]: Simplify (/ 1 1) into 1 9.936 * [taylor]: Taking taylor expansion of 1 in N 9.936 * [backup-simplify]: Simplify 1 into 1 9.936 * [backup-simplify]: Simplify (+ 1 0) into 1 9.937 * [backup-simplify]: Simplify (sqrt 0) into 0 9.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.938 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.938 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.938 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.938 * [taylor]: Taking taylor expansion of N in N 9.938 * [backup-simplify]: Simplify 0 into 0 9.938 * [backup-simplify]: Simplify 1 into 1 9.938 * [backup-simplify]: Simplify (/ 1 1) into 1 9.938 * [taylor]: Taking taylor expansion of 1 in N 9.938 * [backup-simplify]: Simplify 1 into 1 9.938 * [backup-simplify]: Simplify (+ 1 0) into 1 9.942 * [backup-simplify]: Simplify (sqrt 0) into 0 9.943 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.944 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.944 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.945 * [backup-simplify]: Simplify (+ 0 1) into 1 9.946 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.950 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.951 * [backup-simplify]: Simplify (+ 0 0) into 0 9.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.968 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.968 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.969 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.969 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 9.969 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 9.969 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.969 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.969 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.969 * [taylor]: Taking taylor expansion of 1 in N 9.969 * [backup-simplify]: Simplify 1 into 1 9.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.969 * [taylor]: Taking taylor expansion of N in N 9.969 * [backup-simplify]: Simplify 0 into 0 9.969 * [backup-simplify]: Simplify 1 into 1 9.970 * [backup-simplify]: Simplify (/ 1 1) into 1 9.970 * [backup-simplify]: Simplify (- 1) into -1 9.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.971 * [backup-simplify]: Simplify (sqrt 0) into 0 9.972 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.972 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.972 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.972 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.973 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.973 * [taylor]: Taking taylor expansion of 1 in N 9.973 * [backup-simplify]: Simplify 1 into 1 9.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.973 * [taylor]: Taking taylor expansion of N in N 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify 1 into 1 9.973 * [backup-simplify]: Simplify (/ 1 1) into 1 9.973 * [backup-simplify]: Simplify (- 1) into -1 9.974 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.974 * [backup-simplify]: Simplify (sqrt 0) into 0 9.975 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.976 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.976 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.977 * [backup-simplify]: Simplify (- 0) into 0 9.978 * [backup-simplify]: Simplify (+ 1 0) into 1 9.981 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.987 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.988 * [backup-simplify]: Simplify (- 0) into 0 9.988 * [backup-simplify]: Simplify (+ 0 0) into 0 9.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.006 * [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 10.006 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.007 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 10.007 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 10.007 * [backup-simplify]: Simplify (/ (sqrt (+ 1 N)) (sqrt N)) into (sqrt (/ (+ N 1) N)) 10.007 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 10.007 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 10.007 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 10.007 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.007 * [taylor]: Taking taylor expansion of N in N 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 1 into 1 10.007 * [taylor]: Taking taylor expansion of 1 in N 10.007 * [backup-simplify]: Simplify 1 into 1 10.007 * [taylor]: Taking taylor expansion of N in N 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 1 into 1 10.008 * [backup-simplify]: Simplify (+ 0 1) into 1 10.008 * [backup-simplify]: Simplify (/ 1 1) into 1 10.008 * [backup-simplify]: Simplify (sqrt 0) into 0 10.010 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.010 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 10.010 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 10.010 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.010 * [taylor]: Taking taylor expansion of N in N 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 1 into 1 10.010 * [taylor]: Taking taylor expansion of 1 in N 10.010 * [backup-simplify]: Simplify 1 into 1 10.010 * [taylor]: Taking taylor expansion of N in N 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 1 into 1 10.011 * [backup-simplify]: Simplify (+ 0 1) into 1 10.011 * [backup-simplify]: Simplify (/ 1 1) into 1 10.011 * [backup-simplify]: Simplify (sqrt 0) into 0 10.013 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.013 * [backup-simplify]: Simplify (+ 1 0) into 1 10.014 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 10.017 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.017 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.017 * [backup-simplify]: Simplify (+ 0 0) into 0 10.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 10.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.022 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.022 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 10.022 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 N))) (sqrt (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 10.023 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 10.023 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 10.023 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 10.023 * [taylor]: Taking taylor expansion of N in N 10.023 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify 1 into 1 10.023 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.023 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.023 * [taylor]: Taking taylor expansion of N in N 10.023 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify 1 into 1 10.023 * [backup-simplify]: Simplify (/ 1 1) into 1 10.023 * [taylor]: Taking taylor expansion of 1 in N 10.023 * [backup-simplify]: Simplify 1 into 1 10.024 * [backup-simplify]: Simplify (+ 1 0) into 1 10.024 * [backup-simplify]: Simplify (* 0 1) into 0 10.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.025 * [backup-simplify]: Simplify (+ 0 1) into 1 10.026 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 10.026 * [backup-simplify]: Simplify (sqrt 1) into 1 10.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.027 * [backup-simplify]: Simplify (+ 0 0) into 0 10.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 10.029 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.029 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 10.029 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 10.029 * [taylor]: Taking taylor expansion of N in N 10.029 * [backup-simplify]: Simplify 0 into 0 10.029 * [backup-simplify]: Simplify 1 into 1 10.029 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.029 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.029 * [taylor]: Taking taylor expansion of N in N 10.029 * [backup-simplify]: Simplify 0 into 0 10.029 * [backup-simplify]: Simplify 1 into 1 10.030 * [backup-simplify]: Simplify (/ 1 1) into 1 10.030 * [taylor]: Taking taylor expansion of 1 in N 10.030 * [backup-simplify]: Simplify 1 into 1 10.030 * [backup-simplify]: Simplify (+ 1 0) into 1 10.030 * [backup-simplify]: Simplify (* 0 1) into 0 10.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.032 * [backup-simplify]: Simplify (+ 0 1) into 1 10.032 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 10.033 * [backup-simplify]: Simplify (sqrt 1) into 1 10.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.034 * [backup-simplify]: Simplify (+ 0 0) into 0 10.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 10.035 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.035 * [backup-simplify]: Simplify 1 into 1 10.035 * [backup-simplify]: Simplify 1/2 into 1/2 10.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.037 * [backup-simplify]: Simplify (+ 0 0) into 0 10.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 10.039 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 10.039 * [backup-simplify]: Simplify -1/8 into -1/8 10.039 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 10.039 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 (- N)))) (sqrt (/ 1 (- N)))) into (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) 10.039 * [approximate]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 10.040 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 10.040 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 10.040 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.040 * [taylor]: Taking taylor expansion of 1 in N 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.040 * [taylor]: Taking taylor expansion of N in N 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [backup-simplify]: Simplify (/ 1 1) into 1 10.041 * [backup-simplify]: Simplify (- 1) into -1 10.041 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.042 * [backup-simplify]: Simplify (sqrt 0) into 0 10.043 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.043 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 10.043 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.043 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.043 * [taylor]: Taking taylor expansion of -1 in N 10.043 * [backup-simplify]: Simplify -1 into -1 10.043 * [taylor]: Taking taylor expansion of N in N 10.043 * [backup-simplify]: Simplify 0 into 0 10.043 * [backup-simplify]: Simplify 1 into 1 10.044 * [backup-simplify]: Simplify (/ -1 1) into -1 10.044 * [backup-simplify]: Simplify (sqrt 0) into 0 10.045 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.046 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 10.046 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 10.046 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 10.046 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.046 * [taylor]: Taking taylor expansion of 1 in N 10.046 * [backup-simplify]: Simplify 1 into 1 10.046 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.046 * [taylor]: Taking taylor expansion of N in N 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 1 into 1 10.046 * [backup-simplify]: Simplify (/ 1 1) into 1 10.047 * [backup-simplify]: Simplify (- 1) into -1 10.047 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.047 * [backup-simplify]: Simplify (sqrt 0) into 0 10.049 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.049 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 10.049 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.049 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.049 * [taylor]: Taking taylor expansion of -1 in N 10.049 * [backup-simplify]: Simplify -1 into -1 10.049 * [taylor]: Taking taylor expansion of N in N 10.049 * [backup-simplify]: Simplify 0 into 0 10.049 * [backup-simplify]: Simplify 1 into 1 10.049 * [backup-simplify]: Simplify (/ -1 1) into -1 10.050 * [backup-simplify]: Simplify (sqrt 0) into 0 10.051 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.051 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 10.052 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 10.052 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.056 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.058 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 10.059 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 10.060 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.068 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 10.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.069 * [backup-simplify]: Simplify (- 0) into 0 10.070 * [backup-simplify]: Simplify (+ 1 0) into 1 10.078 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.081 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 10.081 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.087 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.091 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 10.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.093 * [backup-simplify]: Simplify (- 0) into 0 10.093 * [backup-simplify]: Simplify (+ 0 0) into 0 10.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.101 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 10.102 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.103 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 10.104 * * * [progress]: simplifying candidates 10.104 * * * * [progress]: [ 1 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 2 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 3 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 4 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 5 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 6 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 7 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 8 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 9 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 10 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 11 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 12 / 247 ] simplifiying candidate # 10.104 * * * * [progress]: [ 13 / 247 ] simplifiying candidate # 10.105 * * * * [progress]: [ 14 / 247 ] simplifiying candidate # 10.105 * * * * [progress]: [ 15 / 247 ] simplifiying candidate # 10.105 * * * * [progress]: [ 16 / 247 ] simplifiying candidate # 10.105 * * * * [progress]: [ 17 / 247 ] simplifiying candidate # 10.105 * * * * [progress]: [ 18 / 247 ] simplifiying candidate # 10.105 * * * * [progress]: [ 19 / 247 ] simplifiying candidate # 10.105 * * * * [progress]: [ 20 / 247 ] 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] simplifiying candidate # 10.120 * * * * [progress]: [ 244 / 247 ] simplifiying candidate # 10.120 * * * * [progress]: [ 245 / 247 ] simplifiying candidate # 10.120 * * * * [progress]: [ 246 / 247 ] simplifiying candidate # 10.120 * * * * [progress]: [ 247 / 247 ] simplifiying candidate # 10.125 * [simplify]: Simplifying: (fma 1/2 (log (+ 1 N)) (- (* (log N) 1/2))) (fma (- (log N)) 1/2 (* (log N) 1/2)) (fma 1/2 (log (+ 1 N)) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma 1/2 (log (+ 1 N)) (- (* (log N) (/ 1 2)))) (fma (- (log N)) (/ 1 2) (* (log N) (/ 1 2))) (fma 1/2 (log (+ 1 N)) (- (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))))) (fma (- (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))))) (fma 1/2 (log (+ 1 N)) (- (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N)))))) (fma (- (sqrt (log (sqrt N)))) (sqrt (log (sqrt N))) (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N))))) (fma 1/2 (log (+ 1 N)) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma 1 (log (sqrt (+ 1 N))) (- (* (log N) 1/2))) (fma (- (log N)) 1/2 (* (log N) 1/2)) (fma 1 (log (sqrt (+ 1 N))) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma 1 (log (sqrt (+ 1 N))) (- (* (log N) (/ 1 2)))) (fma (- (log N)) (/ 1 2) (* (log N) (/ 1 2))) (fma 1 (log (sqrt (+ 1 N))) (- (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))))) (fma (- (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))))) (fma 1 (log (sqrt (+ 1 N))) (- (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N)))))) (fma (- (sqrt (log (sqrt N)))) (sqrt (log (sqrt N))) (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N))))) (fma 1 (log (sqrt (+ 1 N))) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (/ 1 2) (log (+ 1 N)) (- (* (log N) 1/2))) (fma (- (log N)) 1/2 (* (log N) 1/2)) (fma (/ 1 2) (log (+ 1 N)) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (/ 1 2) (log (+ 1 N)) (- (* (log N) (/ 1 2)))) (fma (- (log N)) (/ 1 2) (* (log N) (/ 1 2))) (fma (/ 1 2) (log (+ 1 N)) (- (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))))) (fma (- (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))))) (fma (/ 1 2) (log (+ 1 N)) (- (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N)))))) (fma (- (sqrt (log (sqrt N)))) (sqrt (log (sqrt N))) (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N))))) (fma (/ 1 2) (log (+ 1 N)) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (log N) 1/2))) (fma (- (log N)) 1/2 (* (log N) 1/2)) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (log N) (/ 1 2)))) (fma (- (log N)) (/ 1 2) (* (log N) (/ 1 2))) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))))) (fma (- (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))))) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N)))))) (fma (- (sqrt (log (sqrt N)))) (sqrt (log (sqrt N))) (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N))))) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (- (* (log N) 1/2))) (fma (- (log N)) 1/2 (* (log N) 1/2)) (fma (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (- (* (log N) (/ 1 2)))) (fma (- (log N)) (/ 1 2) (* (log N) (/ 1 2))) (fma (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (- (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))))) (fma (- (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))))) (fma (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (- (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N)))))) (fma (- (sqrt (log (sqrt N)))) (sqrt (log (sqrt N))) (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N))))) (fma (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (- (* (log (sqrt N)) 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