0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.117 * * * [progress]: [2/2] Setting up program. 0.121 * [progress]: [Phase 2 of 3] Improving. 0.121 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.121 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.121 * * [simplify]: iteration 1: (6 enodes) 0.126 * * [simplify]: iteration 2: (23 enodes) 0.133 * * [simplify]: iteration 3: (29 enodes) 0.141 * * [simplify]: Extracting #0: cost 1 inf + 0 0.141 * * [simplify]: Extracting #1: cost 5 inf + 0 0.141 * * [simplify]: Extracting #2: cost 10 inf + 0 0.141 * * [simplify]: Extracting #3: cost 11 inf + 1 0.141 * * [simplify]: Extracting #4: cost 2 inf + 762 0.141 * * [simplify]: Extracting #5: cost 0 inf + 1034 0.142 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.151 * * [progress]: iteration 1 / 4 0.151 * * * [progress]: picking best candidate 0.155 * * * * [pick]: Picked # 0.155 * * * [progress]: localizing error 0.166 * * * [progress]: generating rewritten candidates 0.166 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.174 * * * [progress]: generating series expansions 0.174 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.174 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.174 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.174 * [taylor]: Taking taylor expansion of (log1p N) in N 0.191 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.191 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of 1 in N 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify (log 1) into 0 0.192 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0 0.193 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.193 * [taylor]: Taking taylor expansion of (log1p N) in N 0.193 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.193 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.193 * [taylor]: Taking taylor expansion of 1 in N 0.193 * [backup-simplify]: Simplify 1 into 1 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 0) into 1 0.194 * [backup-simplify]: Simplify (log 1) into 0 0.194 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0 0.195 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.195 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.195 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.195 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.196 * [backup-simplify]: Simplify (+ 0 1) into 1 0.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.210 * [backup-simplify]: Simplify -1/2 into -1/2 0.210 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.210 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.210 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.210 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.211 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.211 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.211 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.211 * [taylor]: Taking taylor expansion of 1 in N 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (+ 0 1) into 1 0.212 * [backup-simplify]: Simplify (log 1) into 0 0.212 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.212 * [taylor]: Taking taylor expansion of N in N 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [backup-simplify]: Simplify (log 1) into 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 N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (+ 0 1) into 1 0.215 * [backup-simplify]: Simplify (log 1) into 0 0.215 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 0.216 * [backup-simplify]: Simplify (log 1) into 0 0.216 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.217 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.217 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.220 * [backup-simplify]: Simplify (- (+ (* 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 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.229 * [backup-simplify]: Simplify -1/2 into -1/2 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [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 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [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 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.236 * [backup-simplify]: Simplify 1/3 into 1/3 0.236 * [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)))) 0.237 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.237 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.237 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.237 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.237 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.237 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.237 * [taylor]: Taking taylor expansion of 1 in N 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.237 * [taylor]: Taking taylor expansion of -1 in N 0.237 * [backup-simplify]: Simplify -1 into -1 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ -1 1) into -1 0.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.238 * [backup-simplify]: Simplify (log -1) into (log -1) 0.238 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.238 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.238 * [taylor]: Taking taylor expansion of -1 in N 0.238 * [backup-simplify]: Simplify -1 into -1 0.238 * [taylor]: Taking taylor expansion of N in N 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ -1 1) into -1 0.238 * [backup-simplify]: Simplify (log -1) into (log -1) 0.238 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.238 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.238 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.238 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.238 * [taylor]: Taking taylor expansion of 1 in N 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.238 * [taylor]: Taking taylor expansion of -1 in N 0.238 * [backup-simplify]: Simplify -1 into -1 0.238 * [taylor]: Taking taylor expansion of N in N 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (/ -1 1) into -1 0.239 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.239 * [backup-simplify]: Simplify (log -1) into (log -1) 0.239 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.239 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.239 * [taylor]: Taking taylor expansion of -1 in N 0.239 * [backup-simplify]: Simplify -1 into -1 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ -1 1) into -1 0.240 * [backup-simplify]: Simplify (log -1) into (log -1) 0.241 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.242 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.242 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.243 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ -1 0) into -1 0.247 * [backup-simplify]: Simplify -1 into -1 0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.253 * [backup-simplify]: Simplify -1/2 into -1/2 0.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [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 0.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [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 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.269 * [backup-simplify]: Simplify -1/3 into -1/3 0.270 * [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)))) 0.270 * * * [progress]: simplifying candidates 0.270 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.270 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.270 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.270 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.270 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.270 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.270 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.270 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.270 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.270 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.270 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.271 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.272 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.272 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.272 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.272 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.272 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.272 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.272 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.272 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.272 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.272 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.272 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.272 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.273 * [simplify]: Simplifying: (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (exp (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)) (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (log1p N) (log (* (cbrt N) (cbrt N)))) (- (log1p N) (log (sqrt N))) (- (log1p N) (log 1)) (- (log N)) (real->posit16 (- (log1p N) (log N))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.275 * * [simplify]: iteration 1: (83 enodes) 0.314 * * [simplify]: iteration 2: (334 enodes) 0.393 * * [simplify]: iteration 3: (565 enodes) 0.619 * * [simplify]: iteration 4: (1177 enodes) 1.726 * * [simplify]: Extracting #0: cost 24 inf + 0 1.727 * * [simplify]: Extracting #1: cost 195 inf + 1 1.733 * * [simplify]: Extracting #2: cost 532 inf + 3280 1.742 * * [simplify]: Extracting #3: cost 386 inf + 53385 1.780 * * [simplify]: Extracting #4: cost 106 inf + 150685 1.828 * * [simplify]: Extracting #5: cost 2 inf + 198889 1.861 * * [simplify]: Extracting #6: cost 0 inf + 200124 1.896 * [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)) (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (log1p N) (log (sqrt N))) (log1p N) (- (log N)) (real->posit16 (- (log1p N) (log N))) (- N (fma (* N N) 1/2 (log N))) (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) 1.899 * * * [progress]: adding candidates to table 2.211 * * [progress]: iteration 2 / 4 2.211 * * * [progress]: picking best candidate 2.222 * * * * [pick]: Picked # 2.222 * * * [progress]: localizing error 2.240 * * * [progress]: generating rewritten candidates 2.240 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.241 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.248 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 2) 2.264 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3) 2.269 * * * [progress]: generating series expansions 2.269 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.269 * [backup-simplify]: Simplify (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) into (fma (/ 1 (pow N 2)) -1/2 (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) 2.269 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in (N) around 0 2.269 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in N 2.269 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) 2.269 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 2.269 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.269 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.269 * [taylor]: Taking taylor expansion of N in N 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (* 1 1) into 1 2.271 * [backup-simplify]: Simplify (/ 1 1) into 1 2.271 * [taylor]: Taking taylor expansion of -1/2 in N 2.271 * [backup-simplify]: Simplify -1/2 into -1/2 2.271 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 2.271 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 2.271 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.271 * [taylor]: Taking taylor expansion of 1/3 in N 2.271 * [backup-simplify]: Simplify 1/3 into 1/3 2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.271 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.271 * [taylor]: Taking taylor expansion of N in N 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (* 1 1) into 1 2.272 * [backup-simplify]: Simplify (* 1 1) into 1 2.273 * [backup-simplify]: Simplify (/ 1 1) into 1 2.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.273 * [taylor]: Taking taylor expansion of N in N 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (/ 1 1) into 1 2.273 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in N 2.273 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) 2.273 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 2.273 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.273 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.274 * [taylor]: Taking taylor expansion of N in N 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (* 1 1) into 1 2.274 * [backup-simplify]: Simplify (/ 1 1) into 1 2.274 * [taylor]: Taking taylor expansion of -1/2 in N 2.274 * [backup-simplify]: Simplify -1/2 into -1/2 2.274 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 2.274 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 2.274 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.275 * [taylor]: Taking taylor expansion of 1/3 in N 2.275 * [backup-simplify]: Simplify 1/3 into 1/3 2.275 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.275 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.275 * [taylor]: Taking taylor expansion of N in N 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (* 1 1) into 1 2.275 * [backup-simplify]: Simplify (* 1 1) into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.276 * [taylor]: Taking taylor expansion of N in N 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.277 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.278 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.278 * [backup-simplify]: Simplify 1/3 into 1/3 2.278 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.282 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.282 * [backup-simplify]: Simplify -1/2 into -1/2 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 2.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.289 * [backup-simplify]: Simplify (+ 0 1) into 1 2.289 * [backup-simplify]: Simplify (+ 0 1) into 1 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 2.290 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (fma 1/3 (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N)))) into (fma (pow N 2) -1/2 (fma 1/3 (pow N 3) N)) 2.290 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (pow N 3) N)) in (N) around 0 2.290 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (pow N 3) N)) in N 2.290 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma 1/3 (pow N 3) N)) 2.290 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 2.290 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.290 * [taylor]: Taking taylor expansion of N in N 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [taylor]: Taking taylor expansion of -1/2 in N 2.290 * [backup-simplify]: Simplify -1/2 into -1/2 2.290 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 2.290 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 2.290 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.290 * [taylor]: Taking taylor expansion of 1/3 in N 2.290 * [backup-simplify]: Simplify 1/3 into 1/3 2.290 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.290 * [taylor]: Taking taylor expansion of N in N 2.290 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [taylor]: Taking taylor expansion of N in N 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (pow N 3) N)) in N 2.291 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma 1/3 (pow N 3) N)) 2.291 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 2.291 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.291 * [taylor]: Taking taylor expansion of N in N 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [taylor]: Taking taylor expansion of -1/2 in N 2.291 * [backup-simplify]: Simplify -1/2 into -1/2 2.291 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 2.291 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 2.291 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.291 * [taylor]: Taking taylor expansion of 1/3 in N 2.291 * [backup-simplify]: Simplify 1/3 into 1/3 2.291 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.291 * [taylor]: Taking taylor expansion of N in N 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [taylor]: Taking taylor expansion of N in N 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (+ 0 0) into 0 2.292 * [backup-simplify]: Simplify (+ 0 0) into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify (+ 0 1) into 1 2.293 * [backup-simplify]: Simplify (+ 0 1) into 1 2.293 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (* 1 1) into 1 2.294 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 2.295 * [backup-simplify]: Simplify (+ 0 0) into 0 2.295 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.295 * [backup-simplify]: Simplify -1/2 into -1/2 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 2.297 * [backup-simplify]: Simplify (* 1 1) into 1 2.298 * [backup-simplify]: Simplify (* 1 1) into 1 2.298 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.299 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.299 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.299 * [backup-simplify]: Simplify 1/3 into 1/3 2.300 * [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)))) 2.300 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (fma 1/3 (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N))))) into (fma (pow N 2) -1/2 (fma 1/3 (* -1 (pow N 3)) (* -1 N))) 2.300 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in (N) around 0 2.300 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in N 2.300 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma 1/3 (* -1 (pow N 3)) (* -1 N))) 2.300 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 2.300 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.300 * [taylor]: Taking taylor expansion of N in N 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [taylor]: Taking taylor expansion of -1/2 in N 2.300 * [backup-simplify]: Simplify -1/2 into -1/2 2.300 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 2.301 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 2.301 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 2.301 * [taylor]: Taking taylor expansion of 1/3 in N 2.301 * [backup-simplify]: Simplify 1/3 into 1/3 2.301 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.301 * [taylor]: Taking taylor expansion of -1 in N 2.301 * [backup-simplify]: Simplify -1 into -1 2.301 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.301 * [taylor]: Taking taylor expansion of N in N 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.301 * [taylor]: Taking taylor expansion of -1 in N 2.301 * [backup-simplify]: Simplify -1 into -1 2.301 * [taylor]: Taking taylor expansion of N in N 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in N 2.301 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma 1/3 (* -1 (pow N 3)) (* -1 N))) 2.301 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 2.301 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.301 * [taylor]: Taking taylor expansion of N in N 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [taylor]: Taking taylor expansion of -1/2 in N 2.301 * [backup-simplify]: Simplify -1/2 into -1/2 2.301 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 2.302 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 2.302 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 2.302 * [taylor]: Taking taylor expansion of 1/3 in N 2.302 * [backup-simplify]: Simplify 1/3 into 1/3 2.302 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.302 * [taylor]: Taking taylor expansion of -1 in N 2.302 * [backup-simplify]: Simplify -1 into -1 2.302 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.302 * [taylor]: Taking taylor expansion of N in N 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.302 * [taylor]: Taking taylor expansion of -1 in N 2.302 * [backup-simplify]: Simplify -1 into -1 2.302 * [taylor]: Taking taylor expansion of N in N 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.303 * [backup-simplify]: Simplify (* -1 0) into 0 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.305 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.305 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.305 * [backup-simplify]: Simplify -1 into -1 2.306 * [backup-simplify]: Simplify (* 1 1) into 1 2.306 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 2.307 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.308 * [backup-simplify]: Simplify -1/2 into -1/2 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 2.310 * [backup-simplify]: Simplify (* 1 1) into 1 2.310 * [backup-simplify]: Simplify (* 1 1) into 1 2.311 * [backup-simplify]: Simplify (* -1 1) into -1 2.311 * [backup-simplify]: Simplify (* 1/3 -1) into -1/3 2.312 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.313 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 2.313 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 2.313 * [backup-simplify]: Simplify -1/3 into -1/3 2.314 * [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)))) 2.314 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.314 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 2.314 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 2.314 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.314 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.314 * [taylor]: Taking taylor expansion of N in N 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify (/ 1 1) into 1 2.315 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.315 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.315 * [taylor]: Taking taylor expansion of N in N 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.316 * [backup-simplify]: Simplify (/ 1 1) into 1 2.316 * [backup-simplify]: Simplify 1 into 1 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.331 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 2.331 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.331 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (* 1 1) into 1 2.332 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.334 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.340 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 2.340 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.340 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.340 * [taylor]: Taking taylor expansion of N in N 2.340 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.341 * [taylor]: Taking taylor expansion of N in N 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (* 1 1) into 1 2.341 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.347 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 2.349 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 2) 2.349 * [backup-simplify]: Simplify (/ (/ 1 N) (* N N)) into (/ 1 (pow N 3)) 2.349 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 2.349 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.349 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.349 * [taylor]: Taking taylor expansion of N in N 2.349 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (* 1 1) into 1 2.350 * [backup-simplify]: Simplify (* 1 1) into 1 2.351 * [backup-simplify]: Simplify (/ 1 1) into 1 2.351 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.351 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.351 * [taylor]: Taking taylor expansion of N in N 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (* 1 1) into 1 2.352 * [backup-simplify]: Simplify (* 1 1) into 1 2.352 * [backup-simplify]: Simplify (/ 1 1) into 1 2.352 * [backup-simplify]: Simplify 1 into 1 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.368 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 3)) into (/ 1 (pow N 3)) 2.372 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (pow N 3) 2.372 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 2.372 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.372 * [taylor]: Taking taylor expansion of N in N 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.372 * [taylor]: Taking taylor expansion of N in N 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (* 1 1) into 1 2.373 * [backup-simplify]: Simplify (* 1 1) into 1 2.373 * [backup-simplify]: Simplify 1 into 1 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.381 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 3)) into (/ 1 (pow N 3)) 2.389 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1 (pow N 3)) 2.389 * [approximate]: Taking taylor expansion of (* -1 (pow N 3)) in (N) around 0 2.389 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.389 * [taylor]: Taking taylor expansion of -1 in N 2.389 * [backup-simplify]: Simplify -1 into -1 2.389 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.389 * [taylor]: Taking taylor expansion of N in N 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.389 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.389 * [taylor]: Taking taylor expansion of -1 in N 2.389 * [backup-simplify]: Simplify -1 into -1 2.389 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.389 * [taylor]: Taking taylor expansion of N in N 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (* 1 1) into 1 2.390 * [backup-simplify]: Simplify (* 1 1) into 1 2.390 * [backup-simplify]: Simplify (* -1 1) into -1 2.390 * [backup-simplify]: Simplify -1 into -1 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.393 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.396 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.399 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.403 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.403 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.408 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.420 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (- N)) 3)) into (/ 1 (pow N 3)) 2.420 * * * * [progress]: [ 4 / 4 ] generating series at (2 3) 2.420 * [backup-simplify]: Simplify (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) into (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 2.420 * [approximate]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in (N) around 0 2.421 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 2.421 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 2.421 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.421 * [taylor]: Taking taylor expansion of 1/3 in N 2.421 * [backup-simplify]: Simplify 1/3 into 1/3 2.421 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.421 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.421 * [taylor]: Taking taylor expansion of N in N 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify (* 1 1) into 1 2.422 * [backup-simplify]: Simplify (* 1 1) into 1 2.422 * [backup-simplify]: Simplify (/ 1 1) into 1 2.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.422 * [taylor]: Taking taylor expansion of N in N 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (/ 1 1) into 1 2.423 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 2.423 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 2.423 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.423 * [taylor]: Taking taylor expansion of 1/3 in N 2.423 * [backup-simplify]: Simplify 1/3 into 1/3 2.423 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.423 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.423 * [taylor]: Taking taylor expansion of N in N 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (* 1 1) into 1 2.424 * [backup-simplify]: Simplify (* 1 1) into 1 2.424 * [backup-simplify]: Simplify (/ 1 1) into 1 2.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.424 * [taylor]: Taking taylor expansion of N in N 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (/ 1 1) into 1 2.425 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.426 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.426 * [backup-simplify]: Simplify 1/3 into 1/3 2.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.429 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.429 * [backup-simplify]: Simplify (+ 0 0) into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.433 * [backup-simplify]: Simplify (+ 0 1) into 1 2.433 * [backup-simplify]: Simplify 1 into 1 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (+ 0 0) into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.446 * [backup-simplify]: Simplify (+ 0 0) into 0 2.446 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (+ 0 0) into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.459 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.461 * [backup-simplify]: Simplify (+ 0 0) into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.464 * [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 2.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.466 * [backup-simplify]: Simplify (+ 0 0) into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.468 * [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 2.470 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (+ 0 0) into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (* 1/3 (pow (/ 1 N) 3))) into (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) 2.471 * [backup-simplify]: Simplify (fma 1/3 (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N))) into (fma 1/3 (pow N 3) N) 2.471 * [approximate]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in (N) around 0 2.471 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 2.471 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 2.471 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.471 * [taylor]: Taking taylor expansion of 1/3 in N 2.471 * [backup-simplify]: Simplify 1/3 into 1/3 2.471 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.471 * [taylor]: Taking taylor expansion of N in N 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [taylor]: Taking taylor expansion of N in N 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 2.471 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 2.471 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.471 * [taylor]: Taking taylor expansion of 1/3 in N 2.471 * [backup-simplify]: Simplify 1/3 into 1/3 2.471 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.471 * [taylor]: Taking taylor expansion of N in N 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [taylor]: Taking taylor expansion of N in N 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.472 * [backup-simplify]: Simplify (+ 0 0) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (+ 0 1) into 1 2.472 * [backup-simplify]: Simplify 1 into 1 2.472 * [backup-simplify]: Simplify (+ 0 0) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (* 1 1) into 1 2.473 * [backup-simplify]: Simplify (* 1 1) into 1 2.473 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.474 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.474 * [backup-simplify]: Simplify 1/3 into 1/3 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.475 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.477 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.477 * [backup-simplify]: Simplify (+ 0 0) into 0 2.477 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.479 * [backup-simplify]: Simplify (+ 0 0) into 0 2.479 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.482 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.482 * [backup-simplify]: Simplify (+ 0 0) into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.484 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.485 * [backup-simplify]: Simplify (+ 0 0) into 0 2.485 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.488 * [backup-simplify]: Simplify (+ 0 0) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (* 1 (/ 1 N))) into (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 2.488 * [backup-simplify]: Simplify (fma 1/3 (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N)))) into (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 2.488 * [approximate]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in (N) around 0 2.488 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 2.488 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 2.488 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 2.488 * [taylor]: Taking taylor expansion of 1/3 in N 2.488 * [backup-simplify]: Simplify 1/3 into 1/3 2.488 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.488 * [taylor]: Taking taylor expansion of -1 in N 2.488 * [backup-simplify]: Simplify -1 into -1 2.488 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.488 * [taylor]: Taking taylor expansion of N in N 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.489 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.489 * [taylor]: Taking taylor expansion of -1 in N 2.489 * [backup-simplify]: Simplify -1 into -1 2.489 * [taylor]: Taking taylor expansion of N in N 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.489 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 2.489 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 2.489 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 2.489 * [taylor]: Taking taylor expansion of 1/3 in N 2.489 * [backup-simplify]: Simplify 1/3 into 1/3 2.489 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.489 * [taylor]: Taking taylor expansion of -1 in N 2.489 * [backup-simplify]: Simplify -1 into -1 2.489 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.489 * [taylor]: Taking taylor expansion of N in N 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.489 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.489 * [taylor]: Taking taylor expansion of -1 in N 2.489 * [backup-simplify]: Simplify -1 into -1 2.489 * [taylor]: Taking taylor expansion of N in N 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.489 * [backup-simplify]: Simplify (* -1 0) into 0 2.490 * [backup-simplify]: Simplify (+ 0 0) into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.490 * [backup-simplify]: Simplify -1 into -1 2.491 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.491 * [backup-simplify]: Simplify (+ 0 0) into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify (* 1 1) into 1 2.492 * [backup-simplify]: Simplify (* 1 1) into 1 2.492 * [backup-simplify]: Simplify (* -1 1) into -1 2.492 * [backup-simplify]: Simplify (* 1/3 -1) into -1/3 2.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.493 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 2.493 * [backup-simplify]: Simplify -1/3 into -1/3 2.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.496 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 2.496 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 -1)) into 0 2.498 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.502 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 2.503 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 -1))) into 0 2.504 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.505 * [backup-simplify]: Simplify (+ 0 0) into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.510 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.512 * [backup-simplify]: Simplify (+ 0 0) into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.519 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.522 * [backup-simplify]: Simplify (+ 0 0) into 0 2.522 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.527 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 2.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.532 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.538 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 2.542 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 2.542 * [backup-simplify]: Simplify (+ 0 0) into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (* -1 (/ 1 (- N)))) into (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 2.543 * * * [progress]: simplifying candidates 2.543 * * * * [progress]: [ 1 / 172 ] simplifiying candidate # 2.543 * * * * [progress]: [ 2 / 172 ] simplifiying candidate # 2.543 * * * * [progress]: [ 3 / 172 ] simplifiying candidate # 2.543 * * * * [progress]: [ 4 / 172 ] simplifiying candidate # 2.543 * * * * [progress]: [ 5 / 172 ] simplifiying candidate # 2.543 * * * * [progress]: [ 6 / 172 ] simplifiying candidate # 2.543 * * * * [progress]: [ 7 / 172 ] simplifiying candidate # 2.543 * * * * [progress]: [ 8 / 172 ] simplifiying candidate # 2.543 * * * * [progress]: [ 9 / 172 ] simplifiying candidate # 2.543 * * * * [progress]: [ 10 / 172 ] simplifiying candidate # 2.544 * * * * [progress]: [ 11 / 172 ] simplifiying candidate #real (real->posit16 (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))))> 2.544 * * * * [progress]: [ 12 / 172 ] simplifiying candidate # 2.544 * * * * [progress]: [ 13 / 172 ] simplifiying candidate # 2.544 * * * * [progress]: [ 14 / 172 ] simplifiying candidate # 2.544 * * * * [progress]: [ 15 / 172 ] simplifiying candidate # 2.544 * * * * [progress]: [ 16 / 172 ] 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[ 139 / 172 ] simplifiying candidate # 2.552 * * * * [progress]: [ 140 / 172 ] simplifiying candidate # 2.552 * * * * [progress]: [ 141 / 172 ] simplifiying candidate # 2.552 * * * * [progress]: [ 142 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 143 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 144 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 145 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 146 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 147 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 148 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 149 / 172 ] simplifiying candidate #real (real->posit16 (/ (/ 1 N) (* N N)))) (/ 1 N))))> 2.553 * * * * [progress]: [ 150 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 151 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 152 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 153 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 154 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 155 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 156 / 172 ] simplifiying candidate # 2.553 * * * * [progress]: [ 157 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 158 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 159 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 160 / 172 ] simplifiying candidate #real (real->posit16 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))))> 2.554 * * * * [progress]: [ 161 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 162 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 163 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 164 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 165 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 166 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 167 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 168 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 169 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 170 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 171 / 172 ] simplifiying candidate # 2.554 * * * * [progress]: [ 172 / 172 ] simplifiying candidate # 2.563 * [simplify]: Simplifying: (expm1 (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log1p (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (* (/ (/ 1 N) N) -1/2) (log (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (exp (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (* (* (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (real->posit16 (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) (- -1 1) (- (- 1) 1) (- (- (log N)) (log N)) (- (- 0 (log N)) (log N)) (- (- (log 1) (log N)) (log N)) (- (log (/ 1 N)) (log N)) (log (/ (/ 1 N) N)) (exp (/ (/ 1 N) N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N 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) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) N) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N)) (/ (/ (cbrt 1) N) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) N) N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 1) (cbrt N)) N) (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) 1) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) N) (cbrt N)) (/ (/ (sqrt 1) 1) (sqrt N)) (/ (/ (sqrt 1) N) (sqrt N)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 1 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 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 (* (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 (/ (cbrt 1) (cbrt N))) (/ N (/ (cbrt 1) (sqrt N))) (/ N (/ (cbrt 1) N)) (/ N (/ (sqrt 1) (cbrt N))) (/ N (/ (sqrt 1) (sqrt N))) (/ N (/ (sqrt 1) N)) (/ N (/ 1 (cbrt N))) (/ N (/ 1 (sqrt N))) (/ N (/ 1 N)) (/ N (/ 1 N)) (/ N (/ 1 N)) (* N N) (real->posit16 (/ (/ 1 N) N)) (expm1 (/ (/ 1 N) (* N N))) (log1p (/ (/ 1 N) (* N N))) (- -1 (+ 1 1)) (- -1 2) (- -1 (+ 1 1)) (- -1 (* 2 1)) (- (- 1) (+ 1 1)) (- (- 1) 2) (- (- 1) (+ 1 1)) (- (- 1) (* 2 1)) (- (- (log N)) (+ (log N) (log N))) (- (- (log N)) (log (* N N))) (- (- 0 (log N)) (+ (log N) (log N))) (- (- 0 (log N)) (log (* N N))) (- (- (log 1) (log N)) (+ (log N) (log N))) (- (- (log 1) (log N)) (log (* N N))) (- (log (/ 1 N)) (+ (log N) (log N))) (- (log (/ 1 N)) (log (* N N))) (log (/ (/ 1 N) (* N N))) (exp (/ (/ 1 N) (* N N))) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 1 N) (* N N))) (cbrt (/ (/ 1 N) (* N N)))) (cbrt (/ (/ 1 N) (* N N))) (* (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (/ (/ 1 N) (* N N))) (sqrt (/ (/ 1 N) (* N N))) (sqrt (/ (/ 1 N) (* N N))) (- (/ 1 N)) (- (* N N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) N) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) N) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) N) (/ (/ (cbrt 1) N) N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 1) (cbrt N)) N) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) 1) N) (/ (/ (sqrt 1) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 1 N) N) (/ 1 N) (/ (/ 1 N) N) (/ 1 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 1 N)) (/ (/ 1 N) N) (/ (* N N) (cbrt (/ 1 N))) (/ (* N N) (sqrt (/ 1 N))) (/ (* N N) (/ (cbrt 1) (cbrt N))) (/ (* N N) (/ (cbrt 1) (sqrt N))) (/ (* N N) (/ (cbrt 1) N)) (/ (* N N) (/ (sqrt 1) (cbrt N))) (/ (* N N) (/ (sqrt 1) (sqrt N))) (/ (* N N) (/ (sqrt 1) N)) (/ (* N N) (/ 1 (cbrt N))) (/ (* N N) (/ 1 (sqrt N))) (/ (* N N) (/ 1 N)) (/ (* N N) (/ 1 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (real->posit16 (/ (/ 1 N) (* N N))) (expm1 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (log1p (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* 1/3 (/ (/ 1 N) (* N N))) (log (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (exp (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* (* (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (real->posit16 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 2.568 * * [simplify]: iteration 1: (235 enodes) 2.726 * * [simplify]: iteration 2: (874 enodes) 2.971 * * [simplify]: iteration 3: (1597 enodes) 4.507 * * [simplify]: Extracting #0: cost 79 inf + 0 4.509 * * [simplify]: Extracting #1: cost 358 inf + 3 4.513 * * [simplify]: Extracting #2: cost 606 inf + 1441 4.525 * * [simplify]: Extracting #3: cost 456 inf + 32767 4.564 * * [simplify]: Extracting #4: cost 116 inf + 117040 4.627 * * [simplify]: Extracting #5: cost 16 inf + 152869 4.688 * * [simplify]: Extracting #6: cost 0 inf + 159370 4.749 * [simplify]: Simplified to: (expm1 (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N)))) (log1p (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N)))) (/ (/ -1/2 N) N) (log (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N)))) (exp (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N)))) (* (cbrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N)))) (cbrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N))))) (cbrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N)))) (* (* (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N))) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N)))) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N)))) (sqrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N)))) (sqrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N)))) (real->posit16 (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N)))) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) -2 -2 (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (exp (/ 1 (* N N))) (* (/ (/ 1 (* N N)) (* N N)) (/ 1 (* N N))) (* (/ (/ 1 (* N N)) (* N N)) (/ 1 (* N N))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (* (/ (/ 1 (* N N)) (* 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)) (/ 1 (cbrt N))) (* (/ 1 (cbrt N)) (/ 1 (cbrt N)))) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (/ 1 (cbrt N)) (* (cbrt N) (sqrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (cbrt N)) (* (cbrt N) (sqrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (* (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (* (/ 1 (cbrt N)) (/ 1 (cbrt N)))) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (/ 1 (cbrt N)) (* (cbrt N) (sqrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (cbrt N)) (* (cbrt N) (sqrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (* (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (* (/ 1 (cbrt N)) (/ 1 (cbrt N)))) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (/ 1 (cbrt N)) (* (cbrt N) (sqrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (cbrt N)) (* (cbrt N) (sqrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 N) (* N N) (/ (/ 1 (cbrt N)) (* N (cbrt N))) (/ (/ 1 (sqrt N)) N) (/ 1 N) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (* N (cbrt N)) (* (sqrt N) N) (* N N) (* N (cbrt N)) (* (sqrt N) N) (* N N) (* N (cbrt N)) (* (sqrt N) N) (* N N) (* N N) (* N N) (* N N) (real->posit16 (/ 1 (* N N))) (expm1 (* (/ (/ 1 N) N) (/ 1 N))) (log1p (* (/ (/ 1 N) N) (/ 1 N))) -3 -3 -3 -3 -3 -3 -3 -3 (- (* -2 (log N)) (log N)) (- (* -2 (log N)) (log N)) (- (* -2 (log N)) (log N)) (- (* -2 (log N)) (log N)) (- (* -2 (log N)) (log N)) (- (* -2 (log N)) (log N)) (- (* -2 (log N)) (log N)) (- (* -2 (log N)) (log N)) (- (* -2 (log N)) (log N)) (exp (* (/ (/ 1 N) N) (/ 1 N))) (/ 1 (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N))) (/ 1 (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N))) (/ 1 (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N))) (/ 1 (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N))) (* (cbrt (* (/ (/ 1 N) N) (/ 1 N))) (cbrt (* (/ (/ 1 N) N) (/ 1 N)))) (cbrt (* (/ (/ 1 N) N) (/ 1 N))) (/ 1 (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N))) (sqrt (* (/ (/ 1 N) N) (/ 1 N))) (sqrt (* (/ (/ 1 N) N) (/ 1 N))) (/ -1 N) (* N (- N)) (* (/ (cbrt (/ 1 N)) N) (cbrt (/ 1 N))) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) N) (/ (/ 1 (cbrt N)) (* N (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (sqrt N)) N) (/ 1 N) (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (* N (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (sqrt N)) N) (/ 1 N) (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (* N (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (sqrt N)) N) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 (* N N)) (* (* N N) N) (/ 1 (* N N)) (/ N (/ (cbrt (/ 1 N)) N)) (/ N (* (sqrt (/ 1 N)) (/ 1 N))) (* (* N N) (cbrt N)) (* (* (sqrt N) N) N) (* (* N N) N) (* (* N N) (cbrt N)) (* (* (sqrt N) N) N) (* (* N N) N) (* (* N N) (cbrt N)) (* (* (sqrt N) N) N) (* (* N N) N) (* (* N N) N) (* (* N N) N) (* (* N N) N) (real->posit16 (* (/ (/ 1 N) N) (/ 1 N))) (expm1 (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (log1p (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (/ (/ (/ 1/3 N) N) N) (log (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (exp (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (* (cbrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (cbrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))) (cbrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (* (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (* (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))) (sqrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (sqrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (real->posit16 (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N))) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N))) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (+ (/ (/ -1/2 N) N) (/ 1 N))) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (* (/ (/ 1 N) N) (/ 1 N)) (* (/ (/ 1 N) N) (/ 1 N)) (* (/ (/ 1 N) N) (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) 4.762 * * * [progress]: adding candidates to table 6.316 * * [progress]: iteration 3 / 4 6.316 * * * [progress]: picking best candidate 6.329 * * * * [pick]: Picked # 6.329 * * * [progress]: localizing error 6.383 * * * [progress]: generating rewritten candidates 6.383 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3 2) 6.384 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 1 2) 6.384 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 1 1) 6.385 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.386 * * * [progress]: generating series expansions 6.386 * * * * [progress]: [ 1 / 4 ] generating series at (2 3 2) 6.386 * [backup-simplify]: Simplify (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) into (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) 6.386 * [approximate]: Taking taylor expansion of (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) in (N) around 0 6.386 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) in N 6.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))))) in N 6.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)))) in N 6.386 * [taylor]: Taking taylor expansion of 1/3 in N 6.386 * [backup-simplify]: Simplify 1/3 into 1/3 6.386 * [taylor]: Taking taylor expansion of (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in N 6.386 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 6.386 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 6.386 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 6.386 * [taylor]: Taking taylor expansion of 1/3 in N 6.386 * [backup-simplify]: Simplify 1/3 into 1/3 6.386 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.386 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.386 * [taylor]: Taking taylor expansion of N in N 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 1 into 1 6.387 * [backup-simplify]: Simplify (* 1 1) into 1 6.387 * [backup-simplify]: Simplify (* 1 1) into 1 6.387 * [backup-simplify]: Simplify (/ 1 1) into 1 6.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.387 * [taylor]: Taking taylor expansion of N in N 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.388 * [backup-simplify]: Simplify (/ 1 1) into 1 6.388 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 6.388 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 6.388 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 6.389 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.389 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 6.390 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.390 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) in N 6.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))))) in N 6.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)))) in N 6.390 * [taylor]: Taking taylor expansion of 1/3 in N 6.390 * [backup-simplify]: Simplify 1/3 into 1/3 6.390 * [taylor]: Taking taylor expansion of (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in N 6.390 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 6.390 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 6.390 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 6.390 * [taylor]: Taking taylor expansion of 1/3 in N 6.390 * [backup-simplify]: Simplify 1/3 into 1/3 6.390 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.390 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.390 * [taylor]: Taking taylor expansion of N in N 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 1 into 1 6.390 * [backup-simplify]: Simplify (* 1 1) into 1 6.391 * [backup-simplify]: Simplify (* 1 1) into 1 6.391 * [backup-simplify]: Simplify (/ 1 1) into 1 6.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.391 * [taylor]: Taking taylor expansion of N in N 6.391 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify 1 into 1 6.391 * [backup-simplify]: Simplify (/ 1 1) into 1 6.391 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 6.392 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 6.392 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 6.392 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.393 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 6.393 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.393 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 6.396 * [backup-simplify]: Simplify (+ 0 0) into 0 6.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/3 1)))) 1) into 0 6.397 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/3) (* 3 (log N))))) into 0 6.399 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.399 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 6.401 * [backup-simplify]: Simplify (+ 0 1) into 1 6.403 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 3 6.403 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.404 * [backup-simplify]: Simplify (+ (* 1/3 3) (+ (* 0 0) (* 0 (- (log 1/3) (* 3 (log N)))))) into 1 6.405 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.405 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.408 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.409 * [backup-simplify]: Simplify (+ 0 0) into 0 6.412 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/3 1)))) 6) into 0 6.412 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.413 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 3) (+ (* 0 0) (* 0 (- (log 1/3) (* 3 (log N))))))) into 0 6.415 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.415 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.418 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.419 * [backup-simplify]: Simplify (+ 0 0) into 0 6.425 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/3 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1/3 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1/3 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/3 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/3 1)))) 24) into -9/2 6.425 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.426 * [backup-simplify]: Simplify (+ (* 1/3 -9/2) (+ (* 0 0) (+ (* 0 3) (+ (* 0 0) (* 0 (- (log 1/3) (* 3 (log N)))))))) into (- 3/2) 6.429 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow (- 3/2) 1) 1)))) into (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 6.430 * [backup-simplify]: Simplify (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 6.431 * [backup-simplify]: Simplify (+ (* (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 4)) (+ (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (pow N 2)) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* (pow N 4) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) 6.431 * [backup-simplify]: Simplify (cbrt (fma 1/3 (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N)))) into (pow (fma 1/3 (pow N 3) N) 1/3) 6.431 * [approximate]: Taking taylor expansion of (pow (fma 1/3 (pow N 3) N) 1/3) in (N) around 0 6.431 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (pow N 3) N) 1/3) in N 6.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (pow N 3) N)))) in N 6.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (pow N 3) N))) in N 6.431 * [taylor]: Taking taylor expansion of 1/3 in N 6.431 * [backup-simplify]: Simplify 1/3 into 1/3 6.431 * [taylor]: Taking taylor expansion of (log (fma 1/3 (pow N 3) N)) in N 6.431 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 6.431 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 6.431 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 6.431 * [taylor]: Taking taylor expansion of 1/3 in N 6.431 * [backup-simplify]: Simplify 1/3 into 1/3 6.431 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.431 * [taylor]: Taking taylor expansion of N in N 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 1 into 1 6.431 * [taylor]: Taking taylor expansion of N in N 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 1 into 1 6.432 * [backup-simplify]: Simplify (+ 0 0) into 0 6.432 * [backup-simplify]: Simplify (+ 0 1) into 1 6.432 * [backup-simplify]: Simplify (log 1) into 0 6.433 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.433 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.433 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.433 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (pow N 3) N) 1/3) in N 6.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (pow N 3) N)))) in N 6.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (pow N 3) N))) in N 6.433 * [taylor]: Taking taylor expansion of 1/3 in N 6.433 * [backup-simplify]: Simplify 1/3 into 1/3 6.433 * [taylor]: Taking taylor expansion of (log (fma 1/3 (pow N 3) N)) in N 6.433 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 6.433 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 6.433 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 6.433 * [taylor]: Taking taylor expansion of 1/3 in N 6.433 * [backup-simplify]: Simplify 1/3 into 1/3 6.433 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.433 * [taylor]: Taking taylor expansion of N in N 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 1 into 1 6.433 * [taylor]: Taking taylor expansion of N in N 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 1 into 1 6.433 * [backup-simplify]: Simplify (+ 0 0) into 0 6.434 * [backup-simplify]: Simplify (+ 0 1) into 1 6.434 * [backup-simplify]: Simplify (log 1) into 0 6.434 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.434 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.434 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.434 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.434 * [backup-simplify]: Simplify (+ 0 0) into 0 6.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.436 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.436 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 6.436 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.436 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify (* 1 1) into 1 6.437 * [backup-simplify]: Simplify (* 1 1) into 1 6.437 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 6.437 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 6.444 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 1/3 6.445 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.446 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (log N)))) into 1/9 6.447 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (pow N 1/3)) 6.447 * [backup-simplify]: Simplify (* 1/9 (pow N 1/3)) into (* 1/9 (pow N 1/3)) 6.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 6.450 * [backup-simplify]: Simplify (+ 0 0) into 0 6.455 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/3) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.455 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.457 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (log N))))) into 0 6.459 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.459 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 6.462 * [backup-simplify]: Simplify (+ 0 0) into 0 6.473 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1/3) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/3) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/18 6.474 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.476 * [backup-simplify]: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (log N)))))) into (- 1/54) 6.480 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/9 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (pow N 1/3)) 6.481 * [backup-simplify]: Simplify (* -1/81 (pow N 1/3)) into (* -1/81 (pow N 1/3)) 6.481 * [backup-simplify]: Simplify (+ (* (* -1/81 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 4)) (+ (* (* 1/9 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (pow (/ 1 N) 1/3))) into (- (+ (* 1/9 (pow (/ 1 (pow N 7)) 1/3)) (pow (/ 1 N) 1/3)) (* 1/81 (pow (/ 1 (pow N 13)) 1/3))) 6.482 * [backup-simplify]: Simplify (cbrt (fma 1/3 (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N))))) into (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) 6.482 * [approximate]: Taking taylor expansion of (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) in (N) around 0 6.482 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) in N 6.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))))) in N 6.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N)))) in N 6.482 * [taylor]: Taking taylor expansion of 1/3 in N 6.482 * [backup-simplify]: Simplify 1/3 into 1/3 6.482 * [taylor]: Taking taylor expansion of (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in N 6.482 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 6.482 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 6.482 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 6.482 * [taylor]: Taking taylor expansion of 1/3 in N 6.482 * [backup-simplify]: Simplify 1/3 into 1/3 6.482 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 6.482 * [taylor]: Taking taylor expansion of -1 in N 6.482 * [backup-simplify]: Simplify -1 into -1 6.482 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.482 * [taylor]: Taking taylor expansion of N in N 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 1 into 1 6.482 * [taylor]: Taking taylor expansion of (* -1 N) in N 6.482 * [taylor]: Taking taylor expansion of -1 in N 6.482 * [backup-simplify]: Simplify -1 into -1 6.482 * [taylor]: Taking taylor expansion of N in N 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 1 into 1 6.483 * [backup-simplify]: Simplify (* -1 0) into 0 6.483 * [backup-simplify]: Simplify (+ 0 0) into 0 6.484 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 6.485 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.485 * [backup-simplify]: Simplify (log -1) into (log -1) 6.486 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.486 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 6.487 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 6.487 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) in N 6.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))))) in N 6.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N)))) in N 6.487 * [taylor]: Taking taylor expansion of 1/3 in N 6.487 * [backup-simplify]: Simplify 1/3 into 1/3 6.487 * [taylor]: Taking taylor expansion of (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in N 6.487 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 6.487 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 6.487 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 6.487 * [taylor]: Taking taylor expansion of 1/3 in N 6.487 * [backup-simplify]: Simplify 1/3 into 1/3 6.487 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 6.487 * [taylor]: Taking taylor expansion of -1 in N 6.487 * [backup-simplify]: Simplify -1 into -1 6.487 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.487 * [taylor]: Taking taylor expansion of N in N 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [taylor]: Taking taylor expansion of (* -1 N) in N 6.487 * [taylor]: Taking taylor expansion of -1 in N 6.487 * [backup-simplify]: Simplify -1 into -1 6.487 * [taylor]: Taking taylor expansion of N in N 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.488 * [backup-simplify]: Simplify (* -1 0) into 0 6.488 * [backup-simplify]: Simplify (+ 0 0) into 0 6.489 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 6.489 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.490 * [backup-simplify]: Simplify (log -1) into (log -1) 6.491 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.491 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 6.492 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 6.492 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 6.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 6.494 * [backup-simplify]: Simplify (+ 0 0) into 0 6.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.496 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.497 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log N) (log -1)))) into 0 6.498 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.498 * [backup-simplify]: Simplify 0 into 0 6.498 * [backup-simplify]: Simplify (* 1 1) into 1 6.499 * [backup-simplify]: Simplify (* 1 1) into 1 6.499 * [backup-simplify]: Simplify (* -1 1) into -1 6.500 * [backup-simplify]: Simplify (* 1/3 -1) into -1/3 6.501 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.501 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 6.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 1/3 6.505 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.506 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (+ (log N) (log -1))))) into 1/9 6.508 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (exp (* 1/3 (+ (log N) (log -1))))) 6.508 * [backup-simplify]: Simplify (* 1/9 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/9 (exp (* 1/3 (+ (log N) (log -1))))) 6.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.510 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 6.511 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 -1)) into 0 6.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.513 * [backup-simplify]: Simplify (+ 0 0) into 0 6.518 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/3) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 6.519 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (+ (log N) (log -1)))))) into 0 6.523 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.523 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 6.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 -1))) into 0 6.527 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.527 * [backup-simplify]: Simplify (+ 0 0) into 0 6.533 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/3) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 -1/3) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/18 6.534 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.535 * [backup-simplify]: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (+ (log N) (log -1))))))) into (- 1/54) 6.538 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/9 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (exp (* 1/3 (+ (log N) (log -1))))) 6.538 * [backup-simplify]: Simplify (* -1/81 (exp (* 1/3 (+ (log N) (log -1))))) into (* -1/81 (exp (* 1/3 (+ (log N) (log -1))))) 6.539 * [backup-simplify]: Simplify (+ (* (* -1/81 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 4)) (+ (* (* 1/9 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/9 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/81 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 4)))) 6.540 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 1 2) 6.540 * [backup-simplify]: Simplify (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) into (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) 6.540 * [approximate]: Taking taylor expansion of (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) in (N) around 0 6.540 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) in N 6.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))))) in N 6.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)))) in N 6.540 * [taylor]: Taking taylor expansion of 1/3 in N 6.540 * [backup-simplify]: Simplify 1/3 into 1/3 6.540 * [taylor]: Taking taylor expansion of (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in N 6.540 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 6.540 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 6.540 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 6.540 * [taylor]: Taking taylor expansion of 1/3 in N 6.540 * [backup-simplify]: Simplify 1/3 into 1/3 6.540 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.540 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.540 * [taylor]: Taking taylor expansion of N in N 6.540 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify 1 into 1 6.540 * [backup-simplify]: Simplify (* 1 1) into 1 6.541 * [backup-simplify]: Simplify (* 1 1) into 1 6.541 * [backup-simplify]: Simplify (/ 1 1) into 1 6.541 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.541 * [taylor]: Taking taylor expansion of N in N 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify 1 into 1 6.541 * [backup-simplify]: Simplify (/ 1 1) into 1 6.541 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 6.542 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 6.542 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 6.542 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.543 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 6.543 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.543 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) in N 6.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))))) in N 6.543 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)))) in N 6.543 * [taylor]: Taking taylor expansion of 1/3 in N 6.543 * [backup-simplify]: Simplify 1/3 into 1/3 6.543 * [taylor]: Taking taylor expansion of (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in N 6.543 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 6.543 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 6.543 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 6.543 * [taylor]: Taking taylor expansion of 1/3 in N 6.543 * [backup-simplify]: Simplify 1/3 into 1/3 6.543 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.543 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.543 * [taylor]: Taking taylor expansion of N in N 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify 1 into 1 6.544 * [backup-simplify]: Simplify (* 1 1) into 1 6.544 * [backup-simplify]: Simplify (* 1 1) into 1 6.544 * [backup-simplify]: Simplify (/ 1 1) into 1 6.544 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.544 * [taylor]: Taking taylor expansion of N in N 6.544 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify 1 into 1 6.544 * [backup-simplify]: Simplify (/ 1 1) into 1 6.545 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 6.545 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 6.545 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 6.546 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.546 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 6.546 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.547 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.549 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 6.549 * [backup-simplify]: Simplify (+ 0 0) into 0 6.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/3 1)))) 1) into 0 6.550 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.551 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/3) (* 3 (log N))))) into 0 6.552 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.552 * [backup-simplify]: Simplify 0 into 0 6.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.554 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 6.554 * [backup-simplify]: Simplify (+ 0 1) into 1 6.556 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 3 6.556 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.557 * [backup-simplify]: Simplify (+ (* 1/3 3) (+ (* 0 0) (* 0 (- (log 1/3) (* 3 (log N)))))) into 1 6.558 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.558 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.566 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.573 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/3 1)))) 6) into 0 6.574 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.576 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 3) (+ (* 0 0) (* 0 (- (log 1/3) (* 3 (log N))))))) into 0 6.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.579 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.583 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.583 * [backup-simplify]: Simplify (+ 0 0) into 0 6.589 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/3 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1/3 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1/3 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/3 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/3 1)))) 24) into -9/2 6.590 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.591 * [backup-simplify]: Simplify (+ (* 1/3 -9/2) (+ (* 0 0) (+ (* 0 3) (+ (* 0 0) (* 0 (- (log 1/3) (* 3 (log N)))))))) into (- 3/2) 6.594 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow (- 3/2) 1) 1)))) into (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 6.594 * [backup-simplify]: Simplify (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 6.596 * [backup-simplify]: Simplify (+ (* (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 4)) (+ (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (pow N 2)) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* (pow N 4) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) 6.596 * [backup-simplify]: Simplify (cbrt (fma 1/3 (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N)))) into (pow (fma 1/3 (pow N 3) N) 1/3) 6.596 * [approximate]: Taking taylor expansion of (pow (fma 1/3 (pow N 3) N) 1/3) in (N) around 0 6.596 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (pow N 3) N) 1/3) in N 6.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (pow N 3) N)))) in N 6.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (pow N 3) N))) in N 6.596 * [taylor]: Taking taylor expansion of 1/3 in N 6.596 * [backup-simplify]: Simplify 1/3 into 1/3 6.596 * [taylor]: Taking taylor expansion of (log (fma 1/3 (pow N 3) N)) in N 6.596 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 6.596 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 6.596 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 6.596 * [taylor]: Taking taylor expansion of 1/3 in N 6.596 * [backup-simplify]: Simplify 1/3 into 1/3 6.596 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.596 * [taylor]: Taking taylor expansion of N in N 6.596 * [backup-simplify]: Simplify 0 into 0 6.596 * [backup-simplify]: Simplify 1 into 1 6.596 * [taylor]: Taking taylor expansion of N in N 6.596 * [backup-simplify]: Simplify 0 into 0 6.596 * [backup-simplify]: Simplify 1 into 1 6.596 * [backup-simplify]: Simplify (+ 0 0) into 0 6.597 * [backup-simplify]: Simplify (+ 0 1) into 1 6.597 * [backup-simplify]: Simplify (log 1) into 0 6.597 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.597 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.597 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.597 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (pow N 3) N) 1/3) in N 6.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (pow N 3) N)))) in N 6.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (pow N 3) N))) in N 6.597 * [taylor]: Taking taylor expansion of 1/3 in N 6.597 * [backup-simplify]: Simplify 1/3 into 1/3 6.597 * [taylor]: Taking taylor expansion of (log (fma 1/3 (pow N 3) N)) in N 6.597 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 6.597 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 6.598 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 6.598 * [taylor]: Taking taylor expansion of 1/3 in N 6.598 * [backup-simplify]: Simplify 1/3 into 1/3 6.598 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.598 * [taylor]: Taking taylor expansion of N in N 6.598 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify 1 into 1 6.598 * [taylor]: Taking taylor expansion of N in N 6.598 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify 1 into 1 6.598 * [backup-simplify]: Simplify (+ 0 0) into 0 6.598 * [backup-simplify]: Simplify (+ 0 1) into 1 6.598 * [backup-simplify]: Simplify (log 1) into 0 6.599 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.599 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.599 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.599 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.599 * [backup-simplify]: Simplify (+ 0 0) into 0 6.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.600 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.600 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 6.601 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify (* 1 1) into 1 6.602 * [backup-simplify]: Simplify (* 1 1) into 1 6.602 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 6.602 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 6.604 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 1/3 6.604 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.604 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (log N)))) into 1/9 6.605 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (pow N 1/3)) 6.605 * [backup-simplify]: Simplify (* 1/9 (pow N 1/3)) into (* 1/9 (pow N 1/3)) 6.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.607 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 6.607 * [backup-simplify]: Simplify (+ 0 0) into 0 6.610 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/3) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.611 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (log N))))) into 0 6.614 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.614 * [backup-simplify]: Simplify 0 into 0 6.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.617 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 6.617 * [backup-simplify]: Simplify (+ 0 0) into 0 6.628 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1/3) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/3) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/18 6.629 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.631 * [backup-simplify]: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (log N)))))) into (- 1/54) 6.635 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/9 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (pow N 1/3)) 6.635 * [backup-simplify]: Simplify (* -1/81 (pow N 1/3)) into (* -1/81 (pow N 1/3)) 6.636 * [backup-simplify]: Simplify (+ (* (* -1/81 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 4)) (+ (* (* 1/9 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (pow (/ 1 N) 1/3))) into (- (+ (* 1/9 (pow (/ 1 (pow N 7)) 1/3)) (pow (/ 1 N) 1/3)) (* 1/81 (pow (/ 1 (pow N 13)) 1/3))) 6.636 * [backup-simplify]: Simplify (cbrt (fma 1/3 (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N))))) into (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) 6.636 * [approximate]: Taking taylor expansion of (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) in (N) around 0 6.636 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) in N 6.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))))) in N 6.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N)))) in N 6.636 * [taylor]: Taking taylor expansion of 1/3 in N 6.636 * [backup-simplify]: Simplify 1/3 into 1/3 6.636 * [taylor]: Taking taylor expansion of (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in N 6.636 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 6.636 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 6.636 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 6.636 * [taylor]: Taking taylor expansion of 1/3 in N 6.636 * [backup-simplify]: Simplify 1/3 into 1/3 6.637 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 6.637 * [taylor]: Taking taylor expansion of -1 in N 6.637 * [backup-simplify]: Simplify -1 into -1 6.637 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.637 * [taylor]: Taking taylor expansion of N in N 6.637 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify 1 into 1 6.637 * [taylor]: Taking taylor expansion of (* -1 N) in N 6.637 * [taylor]: Taking taylor expansion of -1 in N 6.637 * [backup-simplify]: Simplify -1 into -1 6.637 * [taylor]: Taking taylor expansion of N in N 6.637 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify 1 into 1 6.637 * [backup-simplify]: Simplify (* -1 0) into 0 6.638 * [backup-simplify]: Simplify (+ 0 0) into 0 6.639 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 6.639 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.640 * [backup-simplify]: Simplify (log -1) into (log -1) 6.641 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.641 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 6.641 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 6.641 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) in N 6.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))))) in N 6.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N)))) in N 6.642 * [taylor]: Taking taylor expansion of 1/3 in N 6.642 * [backup-simplify]: Simplify 1/3 into 1/3 6.642 * [taylor]: Taking taylor expansion of (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in N 6.642 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 6.642 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 6.642 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 6.642 * [taylor]: Taking taylor expansion of 1/3 in N 6.642 * [backup-simplify]: Simplify 1/3 into 1/3 6.642 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 6.642 * [taylor]: Taking taylor expansion of -1 in N 6.642 * [backup-simplify]: Simplify -1 into -1 6.642 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.642 * [taylor]: Taking taylor expansion of N in N 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify 1 into 1 6.642 * [taylor]: Taking taylor expansion of (* -1 N) in N 6.642 * [taylor]: Taking taylor expansion of -1 in N 6.642 * [backup-simplify]: Simplify -1 into -1 6.642 * [taylor]: Taking taylor expansion of N in N 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify 1 into 1 6.643 * [backup-simplify]: Simplify (* -1 0) into 0 6.643 * [backup-simplify]: Simplify (+ 0 0) into 0 6.644 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 6.644 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.644 * [backup-simplify]: Simplify (log -1) into (log -1) 6.645 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.646 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 6.646 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 6.647 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 6.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 6.648 * [backup-simplify]: Simplify (+ 0 0) into 0 6.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.650 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.651 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log N) (log -1)))) into 0 6.652 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.652 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify (* 1 1) into 1 6.653 * [backup-simplify]: Simplify (* 1 1) into 1 6.653 * [backup-simplify]: Simplify (* -1 1) into -1 6.654 * [backup-simplify]: Simplify (* 1/3 -1) into -1/3 6.655 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.655 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 6.658 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 1/3 6.659 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.660 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (+ (log N) (log -1))))) into 1/9 6.662 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (exp (* 1/3 (+ (log N) (log -1))))) 6.662 * [backup-simplify]: Simplify (* 1/9 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/9 (exp (* 1/3 (+ (log N) (log -1))))) 6.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.664 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 6.665 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 -1)) into 0 6.666 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.667 * [backup-simplify]: Simplify (+ 0 0) into 0 6.672 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/3) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 6.673 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.674 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (+ (log N) (log -1)))))) into 0 6.677 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.677 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.680 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 6.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 -1))) into 0 6.682 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.682 * [backup-simplify]: Simplify (+ 0 0) into 0 6.700 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/3) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 -1/3) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/18 6.701 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.703 * [backup-simplify]: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (+ (log N) (log -1))))))) into (- 1/54) 6.708 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/9 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (exp (* 1/3 (+ (log N) (log -1))))) 6.709 * [backup-simplify]: Simplify (* -1/81 (exp (* 1/3 (+ (log N) (log -1))))) into (* -1/81 (exp (* 1/3 (+ (log N) (log -1))))) 6.711 * [backup-simplify]: Simplify (+ (* (* -1/81 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 4)) (+ (* (* 1/9 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/9 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/81 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 4)))) 6.711 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 1 1) 6.711 * [backup-simplify]: Simplify (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) into (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) 6.711 * [approximate]: Taking taylor expansion of (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) in (N) around 0 6.711 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) in N 6.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))))) in N 6.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)))) in N 6.711 * [taylor]: Taking taylor expansion of 1/3 in N 6.711 * [backup-simplify]: Simplify 1/3 into 1/3 6.711 * [taylor]: Taking taylor expansion of (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in N 6.711 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 6.711 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 6.711 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 6.711 * [taylor]: Taking taylor expansion of 1/3 in N 6.711 * [backup-simplify]: Simplify 1/3 into 1/3 6.711 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.711 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.711 * [taylor]: Taking taylor expansion of N in N 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify 1 into 1 6.712 * [backup-simplify]: Simplify (* 1 1) into 1 6.712 * [backup-simplify]: Simplify (* 1 1) into 1 6.713 * [backup-simplify]: Simplify (/ 1 1) into 1 6.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.713 * [taylor]: Taking taylor expansion of N in N 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify 1 into 1 6.713 * [backup-simplify]: Simplify (/ 1 1) into 1 6.713 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 6.714 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 6.714 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 6.714 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.715 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 6.715 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.715 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 1/3) in N 6.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))))) in N 6.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)))) in N 6.715 * [taylor]: Taking taylor expansion of 1/3 in N 6.715 * [backup-simplify]: Simplify 1/3 into 1/3 6.715 * [taylor]: Taking taylor expansion of (log (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in N 6.715 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 6.715 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 6.715 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 6.715 * [taylor]: Taking taylor expansion of 1/3 in N 6.715 * [backup-simplify]: Simplify 1/3 into 1/3 6.715 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.715 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.715 * [taylor]: Taking taylor expansion of N in N 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.716 * [backup-simplify]: Simplify (* 1 1) into 1 6.716 * [backup-simplify]: Simplify (* 1 1) into 1 6.716 * [backup-simplify]: Simplify (/ 1 1) into 1 6.716 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.716 * [taylor]: Taking taylor expansion of N in N 6.716 * [backup-simplify]: Simplify 0 into 0 6.716 * [backup-simplify]: Simplify 1 into 1 6.716 * [backup-simplify]: Simplify (/ 1 1) into 1 6.717 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 6.717 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 6.717 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 6.718 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.718 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 6.718 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.719 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 6.721 * [backup-simplify]: Simplify (+ 0 0) into 0 6.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/3 1)))) 1) into 0 6.722 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.722 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/3) (* 3 (log N))))) into 0 6.723 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.723 * [backup-simplify]: Simplify 0 into 0 6.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.725 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 6.726 * [backup-simplify]: Simplify (+ 0 1) into 1 6.727 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 3 6.728 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.729 * [backup-simplify]: Simplify (+ (* 1/3 3) (+ (* 0 0) (* 0 (- (log 1/3) (* 3 (log N)))))) into 1 6.730 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.730 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 6.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.733 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.733 * [backup-simplify]: Simplify (+ 0 0) into 0 6.736 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/3 1)))) 6) into 0 6.737 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.738 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 3) (+ (* 0 0) (* 0 (- (log 1/3) (* 3 (log N))))))) into 0 6.739 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.739 * [backup-simplify]: Simplify 0 into 0 6.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.742 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.743 * [backup-simplify]: Simplify (+ 0 0) into 0 6.752 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/3 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1/3 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1/3 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/3 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/3 1)))) 24) into -9/2 6.753 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 6.755 * [backup-simplify]: Simplify (+ (* 1/3 -9/2) (+ (* 0 0) (+ (* 0 3) (+ (* 0 0) (* 0 (- (log 1/3) (* 3 (log N)))))))) into (- 3/2) 6.760 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow (- 3/2) 1) 1)))) into (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 6.760 * [backup-simplify]: Simplify (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 6.762 * [backup-simplify]: Simplify (+ (* (* -1 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 4)) (+ (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (pow N 2)) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* (pow N 4) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) 6.762 * [backup-simplify]: Simplify (cbrt (fma 1/3 (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N)))) into (pow (fma 1/3 (pow N 3) N) 1/3) 6.762 * [approximate]: Taking taylor expansion of (pow (fma 1/3 (pow N 3) N) 1/3) in (N) around 0 6.763 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (pow N 3) N) 1/3) in N 6.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (pow N 3) N)))) in N 6.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (pow N 3) N))) in N 6.763 * [taylor]: Taking taylor expansion of 1/3 in N 6.763 * [backup-simplify]: Simplify 1/3 into 1/3 6.763 * [taylor]: Taking taylor expansion of (log (fma 1/3 (pow N 3) N)) in N 6.763 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 6.763 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 6.763 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 6.763 * [taylor]: Taking taylor expansion of 1/3 in N 6.763 * [backup-simplify]: Simplify 1/3 into 1/3 6.763 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.763 * [taylor]: Taking taylor expansion of N in N 6.763 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify 1 into 1 6.763 * [taylor]: Taking taylor expansion of N in N 6.763 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify 1 into 1 6.763 * [backup-simplify]: Simplify (+ 0 0) into 0 6.764 * [backup-simplify]: Simplify (+ 0 1) into 1 6.764 * [backup-simplify]: Simplify (log 1) into 0 6.765 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.765 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.765 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.765 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (pow N 3) N) 1/3) in N 6.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (pow N 3) N)))) in N 6.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (pow N 3) N))) in N 6.765 * [taylor]: Taking taylor expansion of 1/3 in N 6.765 * [backup-simplify]: Simplify 1/3 into 1/3 6.765 * [taylor]: Taking taylor expansion of (log (fma 1/3 (pow N 3) N)) in N 6.765 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 6.765 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 6.765 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 6.765 * [taylor]: Taking taylor expansion of 1/3 in N 6.765 * [backup-simplify]: Simplify 1/3 into 1/3 6.765 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.765 * [taylor]: Taking taylor expansion of N in N 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify 1 into 1 6.765 * [taylor]: Taking taylor expansion of N in N 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify 1 into 1 6.766 * [backup-simplify]: Simplify (+ 0 0) into 0 6.766 * [backup-simplify]: Simplify (+ 0 1) into 1 6.767 * [backup-simplify]: Simplify (log 1) into 0 6.767 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.767 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.767 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.767 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.768 * [backup-simplify]: Simplify (+ 0 0) into 0 6.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.769 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 6.771 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.771 * [backup-simplify]: Simplify 0 into 0 6.771 * [backup-simplify]: Simplify (* 1 1) into 1 6.772 * [backup-simplify]: Simplify (* 1 1) into 1 6.772 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 6.773 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 6.775 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 1/3 6.776 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.777 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (log N)))) into 1/9 6.778 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (pow N 1/3)) 6.779 * [backup-simplify]: Simplify (* 1/9 (pow N 1/3)) into (* 1/9 (pow N 1/3)) 6.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.781 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 6.781 * [backup-simplify]: Simplify (+ 0 0) into 0 6.787 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/3) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.787 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (log N))))) into 0 6.791 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.791 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.794 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 6.794 * [backup-simplify]: Simplify (+ 0 0) into 0 6.805 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1/3) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/3) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/18 6.806 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.807 * [backup-simplify]: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (log N)))))) into (- 1/54) 6.812 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/9 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (pow N 1/3)) 6.813 * [backup-simplify]: Simplify (* -1/81 (pow N 1/3)) into (* -1/81 (pow N 1/3)) 6.813 * [backup-simplify]: Simplify (+ (* (* -1/81 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 4)) (+ (* (* 1/9 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (pow (/ 1 N) 1/3))) into (- (+ (* 1/9 (pow (/ 1 (pow N 7)) 1/3)) (pow (/ 1 N) 1/3)) (* 1/81 (pow (/ 1 (pow N 13)) 1/3))) 6.813 * [backup-simplify]: Simplify (cbrt (fma 1/3 (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N))))) into (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) 6.813 * [approximate]: Taking taylor expansion of (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) in (N) around 0 6.814 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) in N 6.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))))) in N 6.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N)))) in N 6.814 * [taylor]: Taking taylor expansion of 1/3 in N 6.814 * [backup-simplify]: Simplify 1/3 into 1/3 6.814 * [taylor]: Taking taylor expansion of (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in N 6.814 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 6.814 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 6.814 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 6.814 * [taylor]: Taking taylor expansion of 1/3 in N 6.814 * [backup-simplify]: Simplify 1/3 into 1/3 6.814 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 6.814 * [taylor]: Taking taylor expansion of -1 in N 6.814 * [backup-simplify]: Simplify -1 into -1 6.814 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.814 * [taylor]: Taking taylor expansion of N in N 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [taylor]: Taking taylor expansion of (* -1 N) in N 6.814 * [taylor]: Taking taylor expansion of -1 in N 6.814 * [backup-simplify]: Simplify -1 into -1 6.814 * [taylor]: Taking taylor expansion of N in N 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.815 * [backup-simplify]: Simplify (* -1 0) into 0 6.815 * [backup-simplify]: Simplify (+ 0 0) into 0 6.822 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 6.822 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.823 * [backup-simplify]: Simplify (log -1) into (log -1) 6.823 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.823 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 6.824 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 6.824 * [taylor]: Taking taylor expansion of (pow (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 1/3) in N 6.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))))) in N 6.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma 1/3 (* -1 (pow N 3)) (* -1 N)))) in N 6.824 * [taylor]: Taking taylor expansion of 1/3 in N 6.824 * [backup-simplify]: Simplify 1/3 into 1/3 6.824 * [taylor]: Taking taylor expansion of (log (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in N 6.824 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 6.824 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 6.824 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 6.824 * [taylor]: Taking taylor expansion of 1/3 in N 6.824 * [backup-simplify]: Simplify 1/3 into 1/3 6.824 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 6.824 * [taylor]: Taking taylor expansion of -1 in N 6.824 * [backup-simplify]: Simplify -1 into -1 6.824 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.824 * [taylor]: Taking taylor expansion of N in N 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 1 into 1 6.824 * [taylor]: Taking taylor expansion of (* -1 N) in N 6.824 * [taylor]: Taking taylor expansion of -1 in N 6.824 * [backup-simplify]: Simplify -1 into -1 6.824 * [taylor]: Taking taylor expansion of N in N 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 1 into 1 6.824 * [backup-simplify]: Simplify (* -1 0) into 0 6.825 * [backup-simplify]: Simplify (+ 0 0) into 0 6.825 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 6.825 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.826 * [backup-simplify]: Simplify (log -1) into (log -1) 6.826 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.826 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 6.827 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 6.827 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 6.828 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 6.828 * [backup-simplify]: Simplify (+ 0 0) into 0 6.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.829 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.830 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log N) (log -1)))) into 0 6.831 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify (* 1 1) into 1 6.831 * [backup-simplify]: Simplify (* 1 1) into 1 6.831 * [backup-simplify]: Simplify (* -1 1) into -1 6.832 * [backup-simplify]: Simplify (* 1/3 -1) into -1/3 6.832 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.833 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 6.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 1/3 6.835 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.835 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (+ (log N) (log -1))))) into 1/9 6.836 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (exp (* 1/3 (+ (log N) (log -1))))) 6.837 * [backup-simplify]: Simplify (* 1/9 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/9 (exp (* 1/3 (+ (log N) (log -1))))) 6.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.838 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 6.838 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 -1)) into 0 6.839 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.839 * [backup-simplify]: Simplify (+ 0 0) into 0 6.842 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/3) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 6.843 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.844 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (+ (log N) (log -1)))))) into 0 6.845 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.847 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 6.848 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 -1))) into 0 6.849 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.849 * [backup-simplify]: Simplify (+ 0 0) into 0 6.855 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/3) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 -1/3) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/18 6.855 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.857 * [backup-simplify]: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 (+ (log N) (log -1))))))) into (- 1/54) 6.859 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/9 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/9 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (exp (* 1/3 (+ (log N) (log -1))))) 6.860 * [backup-simplify]: Simplify (* -1/81 (exp (* 1/3 (+ (log N) (log -1))))) into (* -1/81 (exp (* 1/3 (+ (log N) (log -1))))) 6.861 * [backup-simplify]: Simplify (+ (* (* -1/81 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 4)) (+ (* (* 1/9 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/9 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/81 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 4)))) 6.861 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.862 * [backup-simplify]: Simplify (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) into (fma (/ 1 (pow N 2)) -1/2 (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) 6.862 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in (N) around 0 6.862 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in N 6.862 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) 6.862 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 6.862 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.862 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.862 * [taylor]: Taking taylor expansion of N in N 6.862 * [backup-simplify]: Simplify 0 into 0 6.862 * [backup-simplify]: Simplify 1 into 1 6.862 * [backup-simplify]: Simplify (* 1 1) into 1 6.862 * [backup-simplify]: Simplify (/ 1 1) into 1 6.862 * [taylor]: Taking taylor expansion of -1/2 in N 6.862 * [backup-simplify]: Simplify -1/2 into -1/2 6.862 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 6.862 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 6.862 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 6.863 * [taylor]: Taking taylor expansion of 1/3 in N 6.863 * [backup-simplify]: Simplify 1/3 into 1/3 6.863 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.863 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.863 * [taylor]: Taking taylor expansion of N in N 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify 1 into 1 6.863 * [backup-simplify]: Simplify (* 1 1) into 1 6.863 * [backup-simplify]: Simplify (* 1 1) into 1 6.863 * [backup-simplify]: Simplify (/ 1 1) into 1 6.863 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.863 * [taylor]: Taking taylor expansion of N in N 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify 1 into 1 6.864 * [backup-simplify]: Simplify (/ 1 1) into 1 6.864 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) in N 6.864 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma 1/3 (/ 1 (pow N 3)) (/ 1 N))) 6.864 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 6.864 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.864 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.864 * [taylor]: Taking taylor expansion of N in N 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.864 * [backup-simplify]: Simplify (* 1 1) into 1 6.864 * [backup-simplify]: Simplify (/ 1 1) into 1 6.864 * [taylor]: Taking taylor expansion of -1/2 in N 6.864 * [backup-simplify]: Simplify -1/2 into -1/2 6.864 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 6.864 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 6.864 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 6.864 * [taylor]: Taking taylor expansion of 1/3 in N 6.864 * [backup-simplify]: Simplify 1/3 into 1/3 6.864 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.865 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.865 * [taylor]: Taking taylor expansion of N in N 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [backup-simplify]: Simplify (* 1 1) into 1 6.865 * [backup-simplify]: Simplify (* 1 1) into 1 6.865 * [backup-simplify]: Simplify (/ 1 1) into 1 6.865 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.865 * [taylor]: Taking taylor expansion of N in N 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 1 into 1 6.866 * [backup-simplify]: Simplify (/ 1 1) into 1 6.866 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 6.866 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 6.866 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 6.866 * [backup-simplify]: Simplify 1/3 into 1/3 6.867 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 6.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.868 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 6.869 * [backup-simplify]: Simplify (+ 0 0) into 0 6.869 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 6.869 * [backup-simplify]: Simplify -1/2 into -1/2 6.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 6.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 6.873 * [backup-simplify]: Simplify (+ 0 1) into 1 6.873 * [backup-simplify]: Simplify (+ 0 1) into 1 6.873 * [backup-simplify]: Simplify 1 into 1 6.873 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 6.874 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N))))) (cbrt (fma 1/3 (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N)))))) into (fma (pow N 2) -1/2 (fma 1/3 (pow N 3) N)) 6.874 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (pow N 3) N)) in (N) around 0 6.874 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (pow N 3) N)) in N 6.874 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma 1/3 (pow N 3) N)) 6.874 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 6.874 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.874 * [taylor]: Taking taylor expansion of N in N 6.874 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify 1 into 1 6.874 * [taylor]: Taking taylor expansion of -1/2 in N 6.874 * [backup-simplify]: Simplify -1/2 into -1/2 6.874 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 6.874 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 6.874 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 6.874 * [taylor]: Taking taylor expansion of 1/3 in N 6.874 * [backup-simplify]: Simplify 1/3 into 1/3 6.874 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.874 * [taylor]: Taking taylor expansion of N in N 6.874 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify 1 into 1 6.874 * [taylor]: Taking taylor expansion of N in N 6.874 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify 1 into 1 6.874 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (pow N 3) N)) in N 6.874 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma 1/3 (pow N 3) N)) 6.874 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 6.874 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.874 * [taylor]: Taking taylor expansion of N in N 6.874 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify 1 into 1 6.874 * [taylor]: Taking taylor expansion of -1/2 in N 6.874 * [backup-simplify]: Simplify -1/2 into -1/2 6.874 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 6.875 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 6.875 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 6.875 * [taylor]: Taking taylor expansion of 1/3 in N 6.875 * [backup-simplify]: Simplify 1/3 into 1/3 6.875 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.875 * [taylor]: Taking taylor expansion of N in N 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify 1 into 1 6.875 * [taylor]: Taking taylor expansion of N in N 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify 1 into 1 6.875 * [backup-simplify]: Simplify (+ 0 0) into 0 6.875 * [backup-simplify]: Simplify (+ 0 0) into 0 6.875 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify (+ 0 1) into 1 6.876 * [backup-simplify]: Simplify (+ 0 1) into 1 6.876 * [backup-simplify]: Simplify 1 into 1 6.876 * [backup-simplify]: Simplify (* 1 1) into 1 6.876 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 6.877 * [backup-simplify]: Simplify (+ 0 0) into 0 6.877 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 6.877 * [backup-simplify]: Simplify -1/2 into -1/2 6.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 6.878 * [backup-simplify]: Simplify (* 1 1) into 1 6.878 * [backup-simplify]: Simplify (* 1 1) into 1 6.878 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 6.879 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 6.879 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 6.879 * [backup-simplify]: Simplify 1/3 into 1/3 6.879 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 6.880 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N))))) (cbrt (fma 1/3 (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N)))))) (cbrt (fma 1/3 (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N))))))) into (fma (pow N 2) -1/2 (fma 1/3 (* -1 (pow N 3)) (* -1 N))) 6.880 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in (N) around 0 6.880 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in N 6.880 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma 1/3 (* -1 (pow N 3)) (* -1 N))) 6.880 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 6.880 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.880 * [taylor]: Taking taylor expansion of N in N 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify 1 into 1 6.880 * [taylor]: Taking taylor expansion of -1/2 in N 6.880 * [backup-simplify]: Simplify -1/2 into -1/2 6.880 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 6.880 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 6.880 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 6.880 * [taylor]: Taking taylor expansion of 1/3 in N 6.880 * [backup-simplify]: Simplify 1/3 into 1/3 6.880 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 6.880 * [taylor]: Taking taylor expansion of -1 in N 6.880 * [backup-simplify]: Simplify -1 into -1 6.880 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.880 * [taylor]: Taking taylor expansion of N in N 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify 1 into 1 6.880 * [taylor]: Taking taylor expansion of (* -1 N) in N 6.880 * [taylor]: Taking taylor expansion of -1 in N 6.880 * [backup-simplify]: Simplify -1 into -1 6.880 * [taylor]: Taking taylor expansion of N in N 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify 1 into 1 6.880 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma 1/3 (* -1 (pow N 3)) (* -1 N))) in N 6.880 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma 1/3 (* -1 (pow N 3)) (* -1 N))) 6.881 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 6.881 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.881 * [taylor]: Taking taylor expansion of N in N 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 1 into 1 6.881 * [taylor]: Taking taylor expansion of -1/2 in N 6.881 * [backup-simplify]: Simplify -1/2 into -1/2 6.881 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 6.881 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 6.881 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 6.881 * [taylor]: Taking taylor expansion of 1/3 in N 6.881 * [backup-simplify]: Simplify 1/3 into 1/3 6.881 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 6.881 * [taylor]: Taking taylor expansion of -1 in N 6.881 * [backup-simplify]: Simplify -1 into -1 6.881 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.881 * [taylor]: Taking taylor expansion of N in N 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 1 into 1 6.881 * [taylor]: Taking taylor expansion of (* -1 N) in N 6.881 * [taylor]: Taking taylor expansion of -1 in N 6.881 * [backup-simplify]: Simplify -1 into -1 6.881 * [taylor]: Taking taylor expansion of N in N 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 1 into 1 6.881 * [backup-simplify]: Simplify (* -1 0) into 0 6.882 * [backup-simplify]: Simplify (+ 0 0) into 0 6.882 * [backup-simplify]: Simplify (+ 0 0) into 0 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 6.883 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.883 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.883 * [backup-simplify]: Simplify -1 into -1 6.883 * [backup-simplify]: Simplify (* 1 1) into 1 6.883 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 6.884 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 6.884 * [backup-simplify]: Simplify (+ 0 0) into 0 6.885 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 6.885 * [backup-simplify]: Simplify -1/2 into -1/2 6.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 6.886 * [backup-simplify]: Simplify (* 1 1) into 1 6.886 * [backup-simplify]: Simplify (* 1 1) into 1 6.886 * [backup-simplify]: Simplify (* -1 1) into -1 6.887 * [backup-simplify]: Simplify (* 1/3 -1) into -1/3 6.887 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.888 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 6.888 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 6.888 * [backup-simplify]: Simplify -1/3 into -1/3 6.888 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 6.888 * * * [progress]: simplifying candidates 6.888 * * * * [progress]: [ 1 / 65 ] simplifiying candidate # 6.888 * * * * [progress]: [ 2 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 3 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 4 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 5 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 6 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 7 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 8 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 9 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 10 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 11 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 12 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 13 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 14 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))))))> 6.889 * * * * [progress]: [ 15 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 16 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 17 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 18 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 19 / 65 ] simplifiying candidate # 6.889 * * * * [progress]: [ 20 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 21 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 22 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 23 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 24 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 25 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 26 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 27 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 28 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))))> 6.890 * * * * [progress]: [ 29 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 30 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 31 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 32 / 65 ] simplifiying candidate # 6.890 * * * * [progress]: [ 33 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 34 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 35 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 36 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 37 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 38 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 39 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 40 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 41 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 42 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))))> 6.891 * * * * [progress]: [ 43 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 44 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 45 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 46 / 65 ] simplifiying candidate # 6.891 * * * * [progress]: [ 47 / 65 ] simplifiying candidate # 6.892 * * * * [progress]: [ 48 / 65 ] simplifiying candidate # 6.892 * * * * [progress]: [ 49 / 65 ] simplifiying candidate # 6.892 * * * * [progress]: [ 50 / 65 ] simplifiying candidate # 6.892 * * * * [progress]: [ 51 / 65 ] simplifiying candidate # 6.892 * * * * [progress]: [ 52 / 65 ] simplifiying candidate # 6.892 * * * * [progress]: [ 53 / 65 ] simplifiying candidate #real (real->posit16 (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))))))> 6.892 * * * * [progress]: [ 54 / 65 ] simplifiying candidate # 6.892 * * * * [progress]: [ 55 / 65 ] simplifiying candidate # 6.892 * * * * [progress]: [ 56 / 65 ] simplifiying candidate # 6.892 * * * * [progress]: [ 57 / 65 ] simplifiying candidate # 6.892 * * * * [progress]: [ 58 / 65 ] simplifiying candidate # 6.892 * * * * [progress]: [ 59 / 65 ] simplifiying candidate # 6.893 * * * * [progress]: [ 60 / 65 ] simplifiying candidate # 6.893 * * * * [progress]: [ 61 / 65 ] simplifiying candidate # 6.893 * * * * [progress]: [ 62 / 65 ] simplifiying candidate # 6.893 * * * * [progress]: [ 63 / 65 ] simplifiying candidate # 6.893 * * * * [progress]: [ 64 / 65 ] simplifiying candidate # 6.893 * * * * [progress]: [ 65 / 65 ] simplifiying candidate # 6.894 * [simplify]: Simplifying: (expm1 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log1p (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (exp (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt 1) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (real->posit16 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (expm1 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log1p (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (exp (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt 1) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (real->posit16 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (expm1 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log1p (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (exp (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt 1) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (real->posit16 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (expm1 (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (log1p (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (* (/ (/ 1 N) N) -1/2) (log (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (exp (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (* (cbrt (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (cbrt (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))))) (cbrt (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (* (* (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (sqrt (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (sqrt (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (real->posit16 (fma (/ (/ 1 N) N) -1/2 (* (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))))) (- (+ (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* (pow N 4) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (- (+ (* 1/9 (pow (/ 1 (pow N 7)) 1/3)) (pow (/ 1 N) 1/3)) (* 1/81 (pow (/ 1 (pow N 13)) 1/3))) (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/9 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/81 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 4)))) (- (+ (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* (pow N 4) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (- (+ (* 1/9 (pow (/ 1 (pow N 7)) 1/3)) (pow (/ 1 N) 1/3)) (* 1/81 (pow (/ 1 (pow N 13)) 1/3))) (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/9 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/81 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 4)))) (- (+ (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* (pow N 4) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (- (+ (* 1/9 (pow (/ 1 (pow N 7)) 1/3)) (pow (/ 1 N) 1/3)) (* 1/81 (pow (/ 1 (pow N 13)) 1/3))) (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/9 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/81 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 4)))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 6.897 * * [simplify]: iteration 1: (89 enodes) 6.949 * * [simplify]: iteration 2: (360 enodes) 7.063 * * [simplify]: iteration 3: (670 enodes) 7.274 * * [simplify]: iteration 4: (1480 enodes) 8.068 * * [simplify]: Extracting #0: cost 27 inf + 0 8.069 * * [simplify]: Extracting #1: cost 194 inf + 1 8.074 * * [simplify]: Extracting #2: cost 837 inf + 1653 8.095 * * [simplify]: Extracting #3: cost 925 inf + 48048 8.140 * * [simplify]: Extracting #4: cost 462 inf + 192122 8.246 * * [simplify]: Extracting #5: cost 278 inf + 262520 8.331 * * [simplify]: Extracting #6: cost 145 inf + 338595 8.478 * * [simplify]: Extracting #7: cost 34 inf + 395636 8.585 * * [simplify]: Extracting #8: cost 0 inf + 416708 8.692 * * [simplify]: Extracting #9: cost 0 inf + 416668 8.793 * [simplify]: Simplified to: (expm1 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log1p (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (exp (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) 1 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (real->posit16 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (expm1 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log1p (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (exp (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) 1 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (real->posit16 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (expm1 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log1p (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (exp (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) 1 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (real->posit16 (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (expm1 (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N)))) (log1p (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N)))) (/ (/ -1/2 N) N) (log (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N)))) (exp (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N)))) (* (cbrt (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N)))) (cbrt (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N)))) (* (* (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N))) (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N)))) (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N)))) (sqrt (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N)))) (sqrt (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N)))) (real->posit16 (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N)))) (fma (cbrt (/ 1/3 (* (* N N) N))) (- (* N N) (* (* N N) (* N N))) (cbrt (/ 1/3 (* (* N N) N)))) (fma 1/9 (cbrt (/ 1 (pow N 7))) (fma (cbrt (/ 1 (pow N 13))) -1/81 (cbrt (/ 1 N)))) (fma (/ -1/81 (* N N)) (/ (cbrt (/ 1 N)) (* N N)) (fma 1/9 (/ (cbrt (/ 1 N)) (* N N)) (cbrt (/ 1 N)))) (fma (cbrt (/ 1/3 (* (* N N) N))) (- (* N N) (* (* N N) (* N N))) (cbrt (/ 1/3 (* (* N N) N)))) (fma 1/9 (cbrt (/ 1 (pow N 7))) (fma (cbrt (/ 1 (pow N 13))) -1/81 (cbrt (/ 1 N)))) (fma (/ -1/81 (* N N)) (/ (cbrt (/ 1 N)) (* N N)) (fma 1/9 (/ (cbrt (/ 1 N)) (* N N)) (cbrt (/ 1 N)))) (fma (cbrt (/ 1/3 (* (* N N) N))) (- (* N N) (* (* N N) (* N N))) (cbrt (/ 1/3 (* (* N N) N)))) (fma 1/9 (cbrt (/ 1 (pow N 7))) (fma (cbrt (/ 1 (pow N 13))) -1/81 (cbrt (/ 1 N)))) (fma (/ -1/81 (* N N)) (/ (cbrt (/ 1 N)) (* N N)) (fma 1/9 (/ (cbrt (/ 1 N)) (* N N)) (cbrt (/ 1 N)))) (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N))) (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N))) (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N))) 8.800 * * * [progress]: adding candidates to table 9.521 * * [progress]: iteration 4 / 4 9.521 * * * [progress]: picking best candidate 9.529 * * * * [pick]: Picked # 9.529 * * * [progress]: localizing error 9.547 * * * [progress]: generating rewritten candidates 9.547 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 9.554 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 9.583 * * * [progress]: generating series expansions 9.584 * * * * [progress]: [ 1 / 2 ] generating series at (2) 9.584 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 9.584 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 9.584 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.584 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.584 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.584 * [taylor]: Taking taylor expansion of N in N 9.584 * [backup-simplify]: Simplify 0 into 0 9.584 * [backup-simplify]: Simplify 1 into 1 9.584 * [taylor]: Taking taylor expansion of 1 in N 9.584 * [backup-simplify]: Simplify 1 into 1 9.584 * [taylor]: Taking taylor expansion of N in N 9.584 * [backup-simplify]: Simplify 0 into 0 9.584 * [backup-simplify]: Simplify 1 into 1 9.585 * [backup-simplify]: Simplify (+ 0 1) into 1 9.585 * [backup-simplify]: Simplify (/ 1 1) into 1 9.586 * [backup-simplify]: Simplify (log 1) into 0 9.586 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.586 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.586 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.586 * [taylor]: Taking taylor expansion of N in N 9.586 * [backup-simplify]: Simplify 0 into 0 9.586 * [backup-simplify]: Simplify 1 into 1 9.586 * [taylor]: Taking taylor expansion of 1 in N 9.586 * [backup-simplify]: Simplify 1 into 1 9.586 * [taylor]: Taking taylor expansion of N in N 9.586 * [backup-simplify]: Simplify 0 into 0 9.586 * [backup-simplify]: Simplify 1 into 1 9.587 * [backup-simplify]: Simplify (+ 0 1) into 1 9.587 * [backup-simplify]: Simplify (/ 1 1) into 1 9.588 * [backup-simplify]: Simplify (log 1) into 0 9.588 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.589 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.589 * [backup-simplify]: Simplify (+ 1 0) into 1 9.590 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.591 * [backup-simplify]: Simplify 1 into 1 9.592 * [backup-simplify]: Simplify (+ 0 0) into 0 9.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.594 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.594 * [backup-simplify]: Simplify -1/2 into -1/2 9.595 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 9.595 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 9.595 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 9.595 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.595 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.595 * [taylor]: Taking taylor expansion of N in N 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 1 into 1 9.595 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.595 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.595 * [taylor]: Taking taylor expansion of N in N 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 1 into 1 9.595 * [backup-simplify]: Simplify (/ 1 1) into 1 9.595 * [taylor]: Taking taylor expansion of 1 in N 9.595 * [backup-simplify]: Simplify 1 into 1 9.596 * [backup-simplify]: Simplify (+ 1 0) into 1 9.596 * [backup-simplify]: Simplify (* 0 1) into 0 9.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.597 * [backup-simplify]: Simplify (+ 0 1) into 1 9.597 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.597 * [backup-simplify]: Simplify (log 1) into 0 9.597 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.597 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.597 * [taylor]: Taking taylor expansion of N in N 9.597 * [backup-simplify]: Simplify 0 into 0 9.597 * [backup-simplify]: Simplify 1 into 1 9.597 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.597 * [taylor]: Taking taylor expansion of N in N 9.597 * [backup-simplify]: Simplify 0 into 0 9.597 * [backup-simplify]: Simplify 1 into 1 9.598 * [backup-simplify]: Simplify (/ 1 1) into 1 9.598 * [taylor]: Taking taylor expansion of 1 in N 9.598 * [backup-simplify]: Simplify 1 into 1 9.598 * [backup-simplify]: Simplify (+ 1 0) into 1 9.598 * [backup-simplify]: Simplify (* 0 1) into 0 9.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.599 * [backup-simplify]: Simplify (+ 0 1) into 1 9.603 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.604 * [backup-simplify]: Simplify (log 1) into 0 9.604 * [backup-simplify]: Simplify 0 into 0 9.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.605 * [backup-simplify]: Simplify (+ 0 0) into 0 9.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.606 * [backup-simplify]: Simplify 1 into 1 9.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.607 * [backup-simplify]: Simplify (+ 0 0) into 0 9.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.609 * [backup-simplify]: Simplify -1/2 into -1/2 9.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.610 * [backup-simplify]: Simplify (+ 0 0) into 0 9.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.614 * [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 9.614 * [backup-simplify]: Simplify 1/3 into 1/3 9.614 * [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)))) 9.614 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 9.614 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 9.614 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.614 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.614 * [taylor]: Taking taylor expansion of -1 in N 9.614 * [backup-simplify]: Simplify -1 into -1 9.614 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.614 * [taylor]: Taking taylor expansion of N in N 9.614 * [backup-simplify]: Simplify 0 into 0 9.614 * [backup-simplify]: Simplify 1 into 1 9.614 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.614 * [taylor]: Taking taylor expansion of 1 in N 9.614 * [backup-simplify]: Simplify 1 into 1 9.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.614 * [taylor]: Taking taylor expansion of N in N 9.614 * [backup-simplify]: Simplify 0 into 0 9.614 * [backup-simplify]: Simplify 1 into 1 9.615 * [backup-simplify]: Simplify (/ 1 1) into 1 9.615 * [backup-simplify]: Simplify (- 1) into -1 9.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.615 * [backup-simplify]: Simplify (* 0 -1) into 0 9.616 * [backup-simplify]: Simplify (* -1 0) into 0 9.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.616 * [backup-simplify]: Simplify (- 0) into 0 9.617 * [backup-simplify]: Simplify (+ 1 0) into 1 9.617 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.618 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.618 * [backup-simplify]: Simplify (log 1) into 0 9.618 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.618 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.618 * [taylor]: Taking taylor expansion of -1 in N 9.618 * [backup-simplify]: Simplify -1 into -1 9.618 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.618 * [taylor]: Taking taylor expansion of N in N 9.618 * [backup-simplify]: Simplify 0 into 0 9.618 * [backup-simplify]: Simplify 1 into 1 9.618 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.618 * [taylor]: Taking taylor expansion of 1 in N 9.618 * [backup-simplify]: Simplify 1 into 1 9.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.618 * [taylor]: Taking taylor expansion of N in N 9.618 * [backup-simplify]: Simplify 0 into 0 9.618 * [backup-simplify]: Simplify 1 into 1 9.619 * [backup-simplify]: Simplify (/ 1 1) into 1 9.619 * [backup-simplify]: Simplify (- 1) into -1 9.619 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.619 * [backup-simplify]: Simplify (* 0 -1) into 0 9.620 * [backup-simplify]: Simplify (* -1 0) into 0 9.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.620 * [backup-simplify]: Simplify (- 0) into 0 9.621 * [backup-simplify]: Simplify (+ 1 0) into 1 9.621 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.621 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.622 * [backup-simplify]: Simplify (log 1) into 0 9.622 * [backup-simplify]: Simplify 0 into 0 9.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.623 * [backup-simplify]: Simplify (- 0) into 0 9.623 * [backup-simplify]: Simplify (+ 0 0) into 0 9.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.624 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 9.625 * [backup-simplify]: Simplify -1 into -1 9.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.626 * [backup-simplify]: Simplify (- 0) into 0 9.627 * [backup-simplify]: Simplify (+ 0 0) into 0 9.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 9.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 9.632 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.632 * [backup-simplify]: Simplify -1/2 into -1/2 9.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.634 * [backup-simplify]: Simplify (- 0) into 0 9.634 * [backup-simplify]: Simplify (+ 0 0) into 0 9.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 9.637 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 9.642 * [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 9.642 * [backup-simplify]: Simplify -1/3 into -1/3 9.642 * [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)))) 9.642 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 9.642 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 9.642 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 9.642 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.642 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.642 * [taylor]: Taking taylor expansion of N in N 9.642 * [backup-simplify]: Simplify 0 into 0 9.642 * [backup-simplify]: Simplify 1 into 1 9.642 * [taylor]: Taking taylor expansion of 1 in N 9.643 * [backup-simplify]: Simplify 1 into 1 9.643 * [taylor]: Taking taylor expansion of N in N 9.643 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify 1 into 1 9.643 * [backup-simplify]: Simplify (+ 0 1) into 1 9.643 * [backup-simplify]: Simplify (/ 1 1) into 1 9.643 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.643 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.643 * [taylor]: Taking taylor expansion of N in N 9.643 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify 1 into 1 9.643 * [taylor]: Taking taylor expansion of 1 in N 9.643 * [backup-simplify]: Simplify 1 into 1 9.643 * [taylor]: Taking taylor expansion of N in N 9.643 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify 1 into 1 9.644 * [backup-simplify]: Simplify (+ 0 1) into 1 9.644 * [backup-simplify]: Simplify (/ 1 1) into 1 9.644 * [backup-simplify]: Simplify 1 into 1 9.644 * [backup-simplify]: Simplify (+ 1 0) into 1 9.645 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.645 * [backup-simplify]: Simplify 1 into 1 9.645 * [backup-simplify]: Simplify (+ 0 0) into 0 9.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify (+ 0 0) into 0 9.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.647 * [backup-simplify]: Simplify (+ 0 0) into 0 9.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.647 * [backup-simplify]: Simplify 0 into 0 9.648 * [backup-simplify]: Simplify (+ 0 0) into 0 9.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.648 * [backup-simplify]: Simplify 0 into 0 9.648 * [backup-simplify]: Simplify (+ 0 0) into 0 9.649 * [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 9.649 * [backup-simplify]: Simplify 0 into 0 9.649 * [backup-simplify]: Simplify (+ 0 0) into 0 9.650 * [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 9.650 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 9.650 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 9.650 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 9.650 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.650 * [taylor]: Taking taylor expansion of N in N 9.650 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify 1 into 1 9.650 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.650 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.650 * [taylor]: Taking taylor expansion of N in N 9.650 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify 1 into 1 9.651 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (* N (+ (/ 1 N) 1)) 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 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 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 9.651 * [taylor]: Taking taylor expansion of 1 in N 9.651 * [backup-simplify]: Simplify 1 into 1 9.652 * [backup-simplify]: Simplify (+ 1 0) into 1 9.652 * [backup-simplify]: Simplify (* 0 1) into 0 9.652 * [backup-simplify]: Simplify 0 into 0 9.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.653 * [backup-simplify]: Simplify (+ 0 1) into 1 9.653 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.653 * [backup-simplify]: Simplify 1 into 1 9.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.654 * [backup-simplify]: Simplify (+ 0 0) into 0 9.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.655 * [backup-simplify]: Simplify 1 into 1 9.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.656 * [backup-simplify]: Simplify (+ 0 0) into 0 9.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.656 * [backup-simplify]: Simplify 0 into 0 9.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.657 * [backup-simplify]: Simplify (+ 0 0) into 0 9.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.658 * [backup-simplify]: Simplify 0 into 0 9.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.659 * [backup-simplify]: Simplify (+ 0 0) into 0 9.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 9.660 * [backup-simplify]: Simplify 0 into 0 9.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.661 * [backup-simplify]: Simplify (+ 0 0) into 0 9.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [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 9.662 * [backup-simplify]: Simplify (+ 0 0) into 0 9.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 9.663 * [backup-simplify]: Simplify 0 into 0 9.664 * [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 9.664 * [backup-simplify]: Simplify (+ 0 0) into 0 9.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 9.665 * [backup-simplify]: Simplify 0 into 0 9.665 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 9.666 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 9.666 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 9.666 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.666 * [taylor]: Taking taylor expansion of -1 in N 9.666 * [backup-simplify]: Simplify -1 into -1 9.666 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.666 * [taylor]: Taking taylor expansion of N in N 9.666 * [backup-simplify]: Simplify 0 into 0 9.666 * [backup-simplify]: Simplify 1 into 1 9.666 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.666 * [taylor]: Taking taylor expansion of 1 in N 9.666 * [backup-simplify]: Simplify 1 into 1 9.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.666 * [taylor]: Taking taylor expansion of N in N 9.666 * [backup-simplify]: Simplify 0 into 0 9.666 * [backup-simplify]: Simplify 1 into 1 9.666 * [backup-simplify]: Simplify (/ 1 1) into 1 9.666 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.666 * [taylor]: Taking taylor expansion of -1 in N 9.666 * [backup-simplify]: Simplify -1 into -1 9.666 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.666 * [taylor]: Taking taylor expansion of N in N 9.666 * [backup-simplify]: Simplify 0 into 0 9.666 * [backup-simplify]: Simplify 1 into 1 9.666 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.666 * [taylor]: Taking taylor expansion of 1 in N 9.666 * [backup-simplify]: Simplify 1 into 1 9.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.666 * [taylor]: Taking taylor expansion of N in N 9.666 * [backup-simplify]: Simplify 0 into 0 9.666 * [backup-simplify]: Simplify 1 into 1 9.667 * [backup-simplify]: Simplify (/ 1 1) into 1 9.667 * [backup-simplify]: Simplify (- 1) into -1 9.667 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.667 * [backup-simplify]: Simplify (* 0 -1) into 0 9.668 * [backup-simplify]: Simplify (* -1 0) into 0 9.668 * [backup-simplify]: Simplify 0 into 0 9.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.669 * [backup-simplify]: Simplify (- 0) into 0 9.669 * [backup-simplify]: Simplify (+ 1 0) into 1 9.669 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.670 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.670 * [backup-simplify]: Simplify 1 into 1 9.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.670 * [backup-simplify]: Simplify (- 0) into 0 9.671 * [backup-simplify]: Simplify (+ 0 0) into 0 9.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.672 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.672 * [backup-simplify]: Simplify -1 into -1 9.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.673 * [backup-simplify]: Simplify (- 0) into 0 9.673 * [backup-simplify]: Simplify (+ 0 0) into 0 9.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 9.675 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 9.676 * [backup-simplify]: Simplify 0 into 0 9.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.677 * [backup-simplify]: Simplify (- 0) into 0 9.677 * [backup-simplify]: Simplify (+ 0 0) into 0 9.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 9.680 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 9.680 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.682 * [backup-simplify]: Simplify (- 0) into 0 9.682 * [backup-simplify]: Simplify (+ 0 0) into 0 9.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 9.686 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 9.686 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.688 * [backup-simplify]: Simplify (- 0) into 0 9.688 * [backup-simplify]: Simplify (+ 0 0) into 0 9.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 9.692 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 9.692 * [backup-simplify]: Simplify 0 into 0 9.693 * [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 9.693 * [backup-simplify]: Simplify (- 0) into 0 9.694 * [backup-simplify]: Simplify (+ 0 0) into 0 9.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 9.698 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 9.698 * [backup-simplify]: Simplify 0 into 0 9.699 * [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 9.700 * [backup-simplify]: Simplify (- 0) into 0 9.700 * [backup-simplify]: Simplify (+ 0 0) into 0 9.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 9.704 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 9.705 * [backup-simplify]: Simplify 0 into 0 9.705 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 9.705 * * * [progress]: simplifying candidates 9.705 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 9.705 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 9.705 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 9.705 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 9.705 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 9.705 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 9.705 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 9.705 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 9.705 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 9.706 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 9.707 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 9.707 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 9.708 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 9.709 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 9.709 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 9.710 * [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) 9.712 * * [simplify]: iteration 1: (106 enodes) 9.777 * * [simplify]: iteration 2: (414 enodes) 9.908 * * [simplify]: iteration 3: (751 enodes) 10.137 * * [simplify]: iteration 4: (1510 enodes) 11.085 * * [simplify]: Extracting #0: cost 69 inf + 0 11.086 * * [simplify]: Extracting #1: cost 328 inf + 2 11.089 * * [simplify]: Extracting #2: cost 655 inf + 4285 11.107 * * [simplify]: Extracting #3: cost 418 inf + 59073 11.140 * * [simplify]: Extracting #4: cost 76 inf + 143885 11.196 * * [simplify]: Extracting #5: cost 2 inf + 169895 11.241 * * [simplify]: Extracting #6: cost 0 inf + 170931 11.296 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1) N))) (log1p (log (/ (+ N 1) N))) (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1))))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (expm1 (/ (+ N 1) N)) (log1p (/ (+ N 1) N)) (log (/ (+ N 1) N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- -1 N) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1)))) (/ (cbrt (+ N 1)) (sqrt N)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (sqrt (+ N 1)) (/ (sqrt (+ N 1)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (/ (+ N 1) (cbrt N)) (cbrt N)) (/ (+ N 1) (sqrt N)) (+ N 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (fma (- (* N N) N) N N) (- N (* N N)) (real->posit16 (/ (+ N 1) N)) (- (fma (* N N) -1/2 N) (log N)) (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N))) (- (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (/ 1/2 (* N N))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 11.299 * * * [progress]: adding candidates to table 11.865 * [progress]: [Phase 3 of 3] Extracting. 11.865 * * [regime]: Finding splitpoints for: (# # # # #) 11.866 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.866 * * * * [regimes]: Trying to branch on N from (# # # # #) 11.928 * * * [regime]: Found split indices: #