22.343 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.089 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.092 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.092 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.092 * * [simplify]: iteration 1: (6 enodes) 0.093 * * [simplify]: iteration 2: (11 enodes) 0.106 * * [simplify]: iteration 3: (13 enodes) 0.108 * * [simplify]: Extracting #0: cost 1 inf + 0 0.108 * * [simplify]: Extracting #1: cost 4 inf + 0 0.108 * * [simplify]: Extracting #2: cost 6 inf + 0 0.108 * * [simplify]: Extracting #3: cost 2 inf + 475 0.108 * * [simplify]: Extracting #4: cost 0 inf + 518 0.108 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.114 * * [progress]: iteration 1 / 4 0.114 * * * [progress]: picking best candidate 0.116 * * * * [pick]: Picked # 0.116 * * * [progress]: localizing error 0.133 * * * [progress]: generating rewritten candidates 0.133 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.140 * * * [progress]: generating series expansions 0.140 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.140 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.140 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.140 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.140 * [taylor]: Taking taylor expansion of (log1p N) in N 0.140 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.140 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of 1 in N 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.141 * [backup-simplify]: Simplify (log 1) into 0 0.141 * [taylor]: Taking taylor expansion of (log N) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (log 1) into 0 0.142 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.142 * [taylor]: Taking taylor expansion of (log1p N) in N 0.142 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.142 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of 1 in N 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (+ 1 0) into 1 0.142 * [backup-simplify]: Simplify (log 1) into 0 0.142 * [taylor]: Taking taylor expansion of (log N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (log 1) into 0 0.143 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.143 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.143 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.143 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.144 * [backup-simplify]: Simplify (+ 0 1) into 1 0.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.150 * [backup-simplify]: Simplify -1/2 into -1/2 0.150 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.151 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.151 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.151 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.151 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.151 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.151 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.151 * [taylor]: Taking taylor expansion of 1 in N 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [backup-simplify]: Simplify (+ 0 1) into 1 0.152 * [backup-simplify]: Simplify (log 1) into 0 0.152 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [backup-simplify]: Simplify (log 1) into 0 0.152 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.152 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.152 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.152 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.152 * [taylor]: Taking taylor expansion of 1 in N 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ 0 1) into 1 0.153 * [backup-simplify]: Simplify (log 1) into 0 0.153 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (log 1) into 0 0.154 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.154 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.154 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.154 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.163 * [backup-simplify]: Simplify -1/2 into -1/2 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [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 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [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 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.178 * [backup-simplify]: Simplify 1/3 into 1/3 0.178 * [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)))) 0.178 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.178 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.178 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.178 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.178 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.178 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.178 * [taylor]: Taking taylor expansion of 1 in N 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [backup-simplify]: Simplify -1 into -1 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ -1 1) into -1 0.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.180 * [backup-simplify]: Simplify (log -1) into (log -1) 0.180 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.180 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.180 * [taylor]: Taking taylor expansion of -1 in N 0.180 * [backup-simplify]: Simplify -1 into -1 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ -1 1) into -1 0.181 * [backup-simplify]: Simplify (log -1) into (log -1) 0.181 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.181 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.181 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.181 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.181 * [taylor]: Taking taylor expansion of 1 in N 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.181 * [taylor]: Taking taylor expansion of -1 in N 0.181 * [backup-simplify]: Simplify -1 into -1 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ -1 1) into -1 0.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.183 * [backup-simplify]: Simplify (log -1) into (log -1) 0.183 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.183 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.183 * [taylor]: Taking taylor expansion of -1 in N 0.183 * [backup-simplify]: Simplify -1 into -1 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ -1 1) into -1 0.184 * [backup-simplify]: Simplify (log -1) into (log -1) 0.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.186 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.187 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ -1 0) into -1 0.192 * [backup-simplify]: Simplify -1 into -1 0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.201 * [backup-simplify]: Simplify -1/2 into -1/2 0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [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 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.215 * [backup-simplify]: Simplify -1/3 into -1/3 0.215 * [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)))) 0.216 * * * [progress]: simplifying candidates 0.216 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.216 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.217 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.217 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.217 * [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)))) 0.218 * * [simplify]: iteration 1: (83 enodes) 0.246 * * [simplify]: iteration 2: (185 enodes) 0.308 * * [simplify]: iteration 3: (370 enodes) 0.529 * * [simplify]: iteration 4: (991 enodes) 2.133 * * [simplify]: Extracting #0: cost 24 inf + 0 2.134 * * [simplify]: Extracting #1: cost 198 inf + 1 2.139 * * [simplify]: Extracting #2: cost 471 inf + 3601 2.155 * * [simplify]: Extracting #3: cost 367 inf + 42434 2.189 * * [simplify]: Extracting #4: cost 156 inf + 106863 2.218 * * [simplify]: Extracting #5: cost 26 inf + 164872 2.249 * * [simplify]: Extracting #6: cost 0 inf + 177357 2.295 * [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 N) (* N N)) 1/3 (/ 1 N))) (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) 2.297 * * * [progress]: adding candidates to table 2.654 * * [progress]: iteration 2 / 4 2.654 * * * [progress]: picking best candidate 2.666 * * * * [pick]: Picked # 2.666 * * * [progress]: localizing error 2.708 * * * [progress]: generating rewritten candidates 2.708 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.709 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.717 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 1) 2.728 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3) 2.731 * * * [progress]: generating series expansions 2.731 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.732 * [backup-simplify]: Simplify (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) into (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 2.732 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in (N) around 0 2.732 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 2.732 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 2.732 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.732 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.732 * [taylor]: Taking taylor expansion of N in N 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (* 1 1) into 1 2.733 * [backup-simplify]: Simplify (/ 1 1) into 1 2.733 * [taylor]: Taking taylor expansion of -1/2 in N 2.733 * [backup-simplify]: Simplify -1/2 into -1/2 2.733 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 2.733 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 2.733 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.733 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.733 * [taylor]: Taking taylor expansion of N in N 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (* 1 1) into 1 2.733 * [backup-simplify]: Simplify (* 1 1) into 1 2.734 * [backup-simplify]: Simplify (/ 1 1) into 1 2.734 * [taylor]: Taking taylor expansion of 1/3 in N 2.734 * [backup-simplify]: Simplify 1/3 into 1/3 2.734 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.734 * [taylor]: Taking taylor expansion of N in N 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (/ 1 1) into 1 2.734 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 2.734 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 2.734 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 2.734 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.734 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.734 * [taylor]: Taking taylor expansion of N in N 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (* 1 1) into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.735 * [taylor]: Taking taylor expansion of -1/2 in N 2.735 * [backup-simplify]: Simplify -1/2 into -1/2 2.735 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 2.735 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 2.735 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.735 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.735 * [taylor]: Taking taylor expansion of N in N 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (* 1 1) into 1 2.735 * [backup-simplify]: Simplify (* 1 1) into 1 2.736 * [backup-simplify]: Simplify (/ 1 1) into 1 2.736 * [taylor]: Taking taylor expansion of 1/3 in N 2.736 * [backup-simplify]: Simplify 1/3 into 1/3 2.736 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.736 * [taylor]: Taking taylor expansion of N in N 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (/ 1 1) into 1 2.736 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 2.737 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.737 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.737 * [backup-simplify]: Simplify 1/3 into 1/3 2.737 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 2.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0 2.739 * [backup-simplify]: Simplify (+ 0 0) into 0 2.739 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.739 * [backup-simplify]: Simplify -1/2 into -1/2 2.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 2.743 * [backup-simplify]: Simplify (+ 0 1) into 1 2.743 * [backup-simplify]: Simplify (+ 0 1) into 1 2.743 * [backup-simplify]: Simplify 1 into 1 2.744 * [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)))) 2.744 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N)))) into (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 2.744 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in (N) around 0 2.744 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 2.744 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 2.744 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 2.744 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.744 * [taylor]: Taking taylor expansion of N in N 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of -1/2 in N 2.744 * [backup-simplify]: Simplify -1/2 into -1/2 2.744 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 2.744 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 2.744 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 2.744 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.744 * [taylor]: Taking taylor expansion of N in N 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of 1/3 in N 2.744 * [backup-simplify]: Simplify 1/3 into 1/3 2.744 * [taylor]: Taking taylor expansion of N in N 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 2.744 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 2.744 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 2.744 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.744 * [taylor]: Taking taylor expansion of N in N 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of -1/2 in N 2.744 * [backup-simplify]: Simplify -1/2 into -1/2 2.744 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 2.744 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 2.744 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 2.744 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.745 * [taylor]: Taking taylor expansion of N in N 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [taylor]: Taking taylor expansion of 1/3 in N 2.745 * [backup-simplify]: Simplify 1/3 into 1/3 2.745 * [taylor]: Taking taylor expansion of N in N 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ 0 1) into 1 2.746 * [backup-simplify]: Simplify (+ 0 1) into 1 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (* 1 1) into 1 2.746 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.747 * [backup-simplify]: Simplify -1/2 into -1/2 2.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 2.748 * [backup-simplify]: Simplify (* 1 1) into 1 2.748 * [backup-simplify]: Simplify (* 1 1) into 1 2.748 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 2.749 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.749 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.749 * [backup-simplify]: Simplify 1/3 into 1/3 2.749 * [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)))) 2.749 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N))))) into (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 2.749 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in (N) around 0 2.749 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 2.750 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 2.750 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 2.750 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.750 * [taylor]: Taking taylor expansion of N in N 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [taylor]: Taking taylor expansion of -1/2 in N 2.750 * [backup-simplify]: Simplify -1/2 into -1/2 2.750 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 2.750 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 2.750 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 2.750 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.750 * [taylor]: Taking taylor expansion of -1 in N 2.750 * [backup-simplify]: Simplify -1 into -1 2.750 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.750 * [taylor]: Taking taylor expansion of N in N 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [taylor]: Taking taylor expansion of 1/3 in N 2.750 * [backup-simplify]: Simplify 1/3 into 1/3 2.750 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.750 * [taylor]: Taking taylor expansion of -1 in N 2.750 * [backup-simplify]: Simplify -1 into -1 2.750 * [taylor]: Taking taylor expansion of N in N 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 2.750 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 2.750 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 2.750 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.750 * [taylor]: Taking taylor expansion of N in N 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [taylor]: Taking taylor expansion of -1/2 in N 2.750 * [backup-simplify]: Simplify -1/2 into -1/2 2.750 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 2.750 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 2.750 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 2.750 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.750 * [taylor]: Taking taylor expansion of -1 in N 2.750 * [backup-simplify]: Simplify -1 into -1 2.750 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.750 * [taylor]: Taking taylor expansion of N in N 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [taylor]: Taking taylor expansion of 1/3 in N 2.750 * [backup-simplify]: Simplify 1/3 into 1/3 2.750 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.750 * [taylor]: Taking taylor expansion of -1 in N 2.750 * [backup-simplify]: Simplify -1 into -1 2.750 * [taylor]: Taking taylor expansion of N in N 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify (* -1 0) into 0 2.751 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.752 * [backup-simplify]: Simplify -1 into -1 2.753 * [backup-simplify]: Simplify (* 1 1) into 1 2.753 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 2.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.754 * [backup-simplify]: Simplify (+ 0 0) into 0 2.754 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.754 * [backup-simplify]: Simplify -1/2 into -1/2 2.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 2.756 * [backup-simplify]: Simplify (* 1 1) into 1 2.756 * [backup-simplify]: Simplify (* 1 1) into 1 2.757 * [backup-simplify]: Simplify (* -1 1) into -1 2.757 * [backup-simplify]: Simplify (* -1 1/3) into -1/3 2.759 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.759 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 2.760 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 2.760 * [backup-simplify]: Simplify -1/3 into -1/3 2.760 * [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)))) 2.760 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.760 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 2.760 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 2.760 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.760 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.760 * [taylor]: Taking taylor expansion of N in N 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (* 1 1) into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.761 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.761 * [taylor]: Taking taylor expansion of N in N 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (* 1 1) into 1 2.762 * [backup-simplify]: Simplify (/ 1 1) into 1 2.762 * [backup-simplify]: Simplify 1 into 1 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.766 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.775 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 2.776 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.776 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.776 * [taylor]: Taking taylor expansion of N in N 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.776 * [taylor]: Taking taylor expansion of N in N 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (* 1 1) into 1 2.777 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.778 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.791 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 2.791 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.791 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.791 * [taylor]: Taking taylor expansion of N in N 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 1 into 1 2.791 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.791 * [taylor]: Taking taylor expansion of N in N 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (* 1 1) into 1 2.792 * [backup-simplify]: Simplify 1 into 1 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.793 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.799 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 2.801 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 1) 2.801 * [backup-simplify]: Simplify (/ (/ 1 N) (* N N)) into (/ 1 (pow N 3)) 2.801 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.801 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.801 * [taylor]: Taking taylor expansion of N in N 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify (* 1 1) into 1 2.802 * [backup-simplify]: Simplify (* 1 1) into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.802 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.802 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.802 * [taylor]: Taking taylor expansion of N in N 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (* 1 1) into 1 2.803 * [backup-simplify]: Simplify (* 1 1) into 1 2.803 * [backup-simplify]: Simplify (/ 1 1) into 1 2.803 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.806 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 3)) into (/ 1 (pow N 3)) 2.815 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (pow N 3) 2.815 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 2.815 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.815 * [taylor]: Taking taylor expansion of N in N 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.816 * [taylor]: Taking taylor expansion of N in N 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [backup-simplify]: Simplify (* 1 1) into 1 2.816 * [backup-simplify]: Simplify (* 1 1) into 1 2.816 * [backup-simplify]: Simplify 1 into 1 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.822 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 3)) into (/ 1 (pow N 3)) 2.824 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1 (pow N 3)) 2.824 * [approximate]: Taking taylor expansion of (* -1 (pow N 3)) in (N) around 0 2.824 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.824 * [taylor]: Taking taylor expansion of -1 in N 2.824 * [backup-simplify]: Simplify -1 into -1 2.824 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.824 * [taylor]: Taking taylor expansion of N in N 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 1 into 1 2.824 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.824 * [taylor]: Taking taylor expansion of -1 in N 2.825 * [backup-simplify]: Simplify -1 into -1 2.825 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.825 * [taylor]: Taking taylor expansion of N in N 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (* 1 1) into 1 2.825 * [backup-simplify]: Simplify (* 1 1) into 1 2.825 * [backup-simplify]: Simplify (* -1 1) into -1 2.825 * [backup-simplify]: Simplify -1 into -1 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.827 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.828 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 2.828 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.832 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.835 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.835 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.840 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (- N)) 3)) into (/ 1 (pow N 3)) 2.840 * * * * [progress]: [ 4 / 4 ] generating series at (2 3) 2.840 * [backup-simplify]: Simplify (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) into (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) 2.841 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in (N) around 0 2.841 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 2.841 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 2.841 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 2.841 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.841 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.841 * [taylor]: Taking taylor expansion of N in N 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [backup-simplify]: Simplify (* 1 1) into 1 2.842 * [backup-simplify]: Simplify (* 1 1) into 1 2.842 * [backup-simplify]: Simplify (/ 1 1) into 1 2.842 * [taylor]: Taking taylor expansion of 1/3 in N 2.842 * [backup-simplify]: Simplify 1/3 into 1/3 2.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.842 * [taylor]: Taking taylor expansion of N in N 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (/ 1 1) into 1 2.843 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 2.843 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 2.843 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.843 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.843 * [taylor]: Taking taylor expansion of N in N 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (* 1 1) into 1 2.843 * [backup-simplify]: Simplify (* 1 1) into 1 2.844 * [backup-simplify]: Simplify (/ 1 1) into 1 2.844 * [taylor]: Taking taylor expansion of 1/3 in N 2.844 * [backup-simplify]: Simplify 1/3 into 1/3 2.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.844 * [taylor]: Taking taylor expansion of N in N 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 1 into 1 2.844 * [backup-simplify]: Simplify (/ 1 1) into 1 2.845 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 2.845 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.845 * [backup-simplify]: Simplify 1/3 into 1/3 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 2.850 * [backup-simplify]: Simplify (+ 0 1) into 1 2.850 * [backup-simplify]: Simplify 1 into 1 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) into 0 2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (+ 0 0) into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))) into 0 2.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (+ 0 0) into 0 2.857 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))) into 0 2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))))) into 0 2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.867 * [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 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))))) into 0 2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ 0 0) into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.872 * [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 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))))))) into 0 2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (+ 0 0) into 0 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (* 1/3 (pow (/ 1 N) 3))) into (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) 2.874 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N))) into (fma (pow N 3) 1/3 N) 2.874 * [approximate]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in (N) around 0 2.874 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 2.874 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 2.874 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 2.874 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.874 * [taylor]: Taking taylor expansion of N in N 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.874 * [taylor]: Taking taylor expansion of 1/3 in N 2.874 * [backup-simplify]: Simplify 1/3 into 1/3 2.874 * [taylor]: Taking taylor expansion of N in N 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.874 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 2.874 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 2.874 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 2.874 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.875 * [taylor]: Taking taylor expansion of N in N 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [taylor]: Taking taylor expansion of 1/3 in N 2.875 * [backup-simplify]: Simplify 1/3 into 1/3 2.875 * [taylor]: Taking taylor expansion of N in N 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (+ 0 0) into 0 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify (+ 0 1) into 1 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (+ 0 0) into 0 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (* 1 1) into 1 2.876 * [backup-simplify]: Simplify (* 1 1) into 1 2.876 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 2.877 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.877 * [backup-simplify]: Simplify 1/3 into 1/3 2.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0 2.878 * [backup-simplify]: Simplify (+ 0 0) into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 2.881 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) into 0 2.885 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))) into 0 2.892 * [backup-simplify]: Simplify (+ 0 0) into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))) into 0 2.897 * [backup-simplify]: Simplify (+ 0 0) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))))) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (* 1 (/ 1 N))) into (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 2.902 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N)))) into (fma (* -1 (pow N 3)) 1/3 (* -1 N)) 2.902 * [approximate]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in (N) around 0 2.902 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 2.903 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 2.903 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 2.903 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.903 * [taylor]: Taking taylor expansion of -1 in N 2.903 * [backup-simplify]: Simplify -1 into -1 2.903 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.903 * [taylor]: Taking taylor expansion of N in N 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [taylor]: Taking taylor expansion of 1/3 in N 2.903 * [backup-simplify]: Simplify 1/3 into 1/3 2.903 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.903 * [taylor]: Taking taylor expansion of -1 in N 2.903 * [backup-simplify]: Simplify -1 into -1 2.903 * [taylor]: Taking taylor expansion of N in N 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 2.903 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 2.903 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 2.903 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 2.903 * [taylor]: Taking taylor expansion of -1 in N 2.903 * [backup-simplify]: Simplify -1 into -1 2.903 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.903 * [taylor]: Taking taylor expansion of N in N 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [taylor]: Taking taylor expansion of 1/3 in N 2.903 * [backup-simplify]: Simplify 1/3 into 1/3 2.903 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.903 * [taylor]: Taking taylor expansion of -1 in N 2.903 * [backup-simplify]: Simplify -1 into -1 2.903 * [taylor]: Taking taylor expansion of N in N 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.904 * [backup-simplify]: Simplify (* -1 0) into 0 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.906 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.906 * [backup-simplify]: Simplify -1 into -1 2.907 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (* 1 1) into 1 2.909 * [backup-simplify]: Simplify (* 1 1) into 1 2.909 * [backup-simplify]: Simplify (* -1 1) into -1 2.909 * [backup-simplify]: Simplify (* -1 1/3) into -1/3 2.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.911 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 2.911 * [backup-simplify]: Simplify -1/3 into -1/3 2.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.913 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 2.914 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/3)) into 0 2.915 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.918 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 2.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/3))) into 0 2.921 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) into 0 2.927 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.928 * [backup-simplify]: Simplify (+ 0 0) into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.932 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.933 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))) into 0 2.935 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.935 * [backup-simplify]: Simplify (+ 0 0) into 0 2.935 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.940 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.941 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))) into 0 2.943 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.943 * [backup-simplify]: Simplify (+ 0 0) into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.948 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.950 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))))) into 0 2.952 * [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 2.952 * [backup-simplify]: Simplify (+ 0 0) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (* -1 (/ 1 (- N)))) into (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 2.953 * * * [progress]: simplifying candidates 2.953 * * * * [progress]: [ 1 / 172 ] simplifiying candidate # 2.953 * * * * [progress]: [ 2 / 172 ] simplifiying candidate # 2.953 * * * * [progress]: [ 3 / 172 ] simplifiying candidate # 2.953 * * * * [progress]: [ 4 / 172 ] simplifiying candidate # 2.953 * * * * [progress]: [ 5 / 172 ] simplifiying candidate # 2.953 * * * * [progress]: [ 6 / 172 ] simplifiying candidate # 2.953 * * * * [progress]: [ 7 / 172 ] simplifiying candidate # 2.953 * * * * [progress]: [ 8 / 172 ] simplifiying candidate # 2.953 * * * * [progress]: [ 9 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 10 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 11 / 172 ] simplifiying candidate #real (real->posit16 (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> 2.954 * * * * [progress]: [ 12 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 13 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 14 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 15 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 16 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 17 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 18 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 19 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 20 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 21 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 22 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 23 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 24 / 172 ] simplifiying candidate # 2.954 * * * * [progress]: [ 25 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 26 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 27 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 28 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 29 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 30 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 31 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 32 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 33 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 34 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 35 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 36 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 37 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 38 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 39 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 40 / 172 ] simplifiying candidate # 2.955 * * * * [progress]: [ 41 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 42 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 43 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 44 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 45 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 46 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 47 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 48 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 49 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 50 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 51 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 52 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 53 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 54 / 172 ] simplifiying candidate # 2.956 * * * * [progress]: [ 55 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 56 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 57 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 58 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 59 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 60 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 61 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 62 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 63 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 64 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 65 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 66 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 67 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 68 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 69 / 172 ] simplifiying candidate # 2.957 * * * * [progress]: [ 70 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 71 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 72 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 73 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 74 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 75 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 76 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 77 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 78 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 79 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 80 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 81 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 82 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 83 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 84 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 85 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 86 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 87 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 88 / 172 ] simplifiying candidate #real (real->posit16 (/ (/ 1 N) N))) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))> 2.958 * * * * [progress]: [ 89 / 172 ] simplifiying candidate # 2.958 * * * * [progress]: [ 90 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 91 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 92 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 93 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 94 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 95 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 96 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 97 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 98 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 99 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 100 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 101 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 102 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 103 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 104 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 105 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 106 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 107 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 108 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 109 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 110 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 111 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 112 / 172 ] simplifiying candidate # 2.959 * * * * [progress]: [ 113 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 114 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 115 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 116 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 117 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 118 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 119 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 120 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 121 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 122 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 123 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 124 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 125 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 126 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 127 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 128 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 129 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 130 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 131 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 132 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 133 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 134 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 135 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 136 / 172 ] simplifiying candidate # 2.960 * * * * [progress]: [ 137 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 138 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 139 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 140 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 141 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 142 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 143 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 144 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 145 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 146 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 147 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 148 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 149 / 172 ] simplifiying candidate #real (real->posit16 (/ (/ 1 N) (* N N)))) 1/3 (/ 1 N))))> 2.961 * * * * [progress]: [ 150 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 151 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 152 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 153 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 154 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 155 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 156 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 157 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 158 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 159 / 172 ] simplifiying candidate # 2.961 * * * * [progress]: [ 160 / 172 ] simplifiying candidate #real (real->posit16 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> 2.961 * * * * [progress]: [ 161 / 172 ] simplifiying candidate # 2.962 * * * * [progress]: [ 162 / 172 ] simplifiying candidate # 2.962 * * * * [progress]: [ 163 / 172 ] simplifiying candidate # 2.962 * * * * [progress]: [ 164 / 172 ] simplifiying candidate # 2.962 * * * * [progress]: [ 165 / 172 ] simplifiying candidate # 2.962 * * * * [progress]: [ 166 / 172 ] simplifiying candidate # 2.962 * * * * [progress]: [ 167 / 172 ] simplifiying candidate # 2.962 * * * * [progress]: [ 168 / 172 ] simplifiying candidate # 2.962 * * * * [progress]: [ 169 / 172 ] simplifiying candidate # 2.962 * * * * [progress]: [ 170 / 172 ] simplifiying candidate # 2.962 * * * * [progress]: [ 171 / 172 ] simplifiying candidate # 2.962 * * * * [progress]: [ 172 / 172 ] simplifiying candidate # 2.963 * [simplify]: Simplifying: (expm1 (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (log1p (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (/ (/ 1 N) N) -1/2) (log (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (exp (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (* (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (real->posit16 (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 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 N) (* N N)) 1/3 (/ 1 N))) (log1p (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (* (/ (/ 1 N) (* N N)) 1/3) (log (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (exp (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (* (cbrt (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (cbrt (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (* (* (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (sqrt (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (sqrt (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (real->posit16 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 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)) 2.966 * * [simplify]: iteration 1: (235 enodes) 3.073 * * [simplify]: iteration 2: (522 enodes) 3.302 * * [simplify]: iteration 3: (1396 enodes) 6.933 * * [simplify]: Extracting #0: cost 80 inf + 0 6.935 * * [simplify]: Extracting #1: cost 858 inf + 3 6.947 * * [simplify]: Extracting #2: cost 1347 inf + 11848 6.971 * * [simplify]: Extracting #3: cost 696 inf + 106309 7.007 * * [simplify]: Extracting #4: cost 158 inf + 208303 7.065 * * [simplify]: Extracting #5: cost 11 inf + 259667 7.139 * * [simplify]: Extracting #6: cost 0 inf + 263640 7.233 * [simplify]: Simplified to: (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)))) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) -2 -2 (- (log (* N N))) (- (log (* N N))) (- (log (* N N))) (- (log (* N N))) (- (log (* N N))) (exp (/ 1 (* N N))) (/ (/ 1 (* N N)) (* (* N N) (* N N))) (/ (/ 1 (* N N)) (* (* N N) (* N N))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (/ (/ 1 (* N N)) (* (* N N) (* 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)) (/ (cbrt (/ 1 N)) (sqrt 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 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ 1 (* N (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ 1 (* (sqrt N) (cbrt N))) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ 1 (* N (cbrt 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 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ 1 (* N (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ 1 (* (sqrt N) (cbrt N))) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ 1 (* N (cbrt 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 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ 1 (* N (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ 1 (* (sqrt N) (cbrt N))) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ 1 (* N (cbrt N))) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ 1 (* N (cbrt N))) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ 1 (* N (cbrt 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)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N N) (* N N) (* N N) (real->posit16 (/ 1 (* N N))) (expm1 (/ (/ 1 N) (* N N))) (log1p (/ (/ 1 N) (* N N))) -3 -3 -3 -3 -3 -3 -3 -3 (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (exp (/ (/ 1 N) (* N N))) (* (/ (/ 1 (* N N)) (* N N)) (/ (/ (/ 1 (* N N)) (* N N)) N)) (* (/ (/ 1 (* N N)) (* N N)) (/ (/ (/ 1 (* N N)) (* N N)) N)) (* (/ (/ 1 (* N N)) (* N N)) (/ (/ (/ 1 (* N N)) (* N N)) N)) (* (/ (/ 1 (* N N)) (* N N)) (/ (/ (/ 1 (* N N)) (* N N)) N)) (* (cbrt (/ (/ 1 N) (* N N))) (cbrt (/ (/ 1 N) (* N N)))) (cbrt (/ (/ 1 N) (* N N))) (* (/ (/ 1 (* N N)) (* N N)) (/ (/ (/ 1 (* N N)) (* 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) (/ (/ 1 (* (cbrt N) N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (sqrt N)) N) (/ 1 N) (/ 1 (* N N)) (/ (/ 1 (* (cbrt N) N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (sqrt N)) N) (/ 1 N) (/ 1 (* N N)) (/ (/ 1 (* (cbrt N) N)) (cbrt N)) (/ 1 (* N (cbrt 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 N) (cbrt (/ 1 N))) (/ N (* (sqrt (/ 1 N)) (/ 1 N))) (* (* N (cbrt N)) N) (* (* N N) (sqrt N)) (* (* N N) N) (* (* N (cbrt N)) N) (* (* N N) (sqrt N)) (* (* N N) N) (* (* N (cbrt N)) N) (* (* N N) (sqrt N)) (* (* N N) N) (* (* N N) N) (* (* N N) 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 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))) (+ (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))) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N 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)) 7.255 * * * [progress]: adding candidates to table 8.924 * * [progress]: iteration 3 / 4 8.924 * * * [progress]: picking best candidate 8.931 * * * * [pick]: Picked # 8.931 * * * [progress]: localizing error 8.977 * * * [progress]: generating rewritten candidates 8.977 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 8.978 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 8.978 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.980 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 8.983 * * * [progress]: generating series expansions 8.983 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 8.984 * [backup-simplify]: Simplify (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) into (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 8.984 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in (N) around 0 8.984 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 8.984 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 8.984 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 8.984 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.984 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.984 * [taylor]: Taking taylor expansion of N in N 8.984 * [backup-simplify]: Simplify 0 into 0 8.984 * [backup-simplify]: Simplify 1 into 1 8.985 * [backup-simplify]: Simplify (* 1 1) into 1 8.985 * [backup-simplify]: Simplify (/ 1 1) into 1 8.985 * [taylor]: Taking taylor expansion of -1/2 in N 8.985 * [backup-simplify]: Simplify -1/2 into -1/2 8.985 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 8.985 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 8.985 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 8.985 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.985 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.986 * [taylor]: Taking taylor expansion of N in N 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify 1 into 1 8.986 * [backup-simplify]: Simplify (* 1 1) into 1 8.986 * [backup-simplify]: Simplify (* 1 1) into 1 8.987 * [backup-simplify]: Simplify (/ 1 1) into 1 8.987 * [taylor]: Taking taylor expansion of 1/3 in N 8.987 * [backup-simplify]: Simplify 1/3 into 1/3 8.987 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.987 * [taylor]: Taking taylor expansion of N in N 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify 1 into 1 8.987 * [backup-simplify]: Simplify (/ 1 1) into 1 8.987 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 8.987 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 8.987 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 8.987 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.987 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.987 * [taylor]: Taking taylor expansion of N in N 8.988 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify 1 into 1 8.988 * [backup-simplify]: Simplify (* 1 1) into 1 8.988 * [backup-simplify]: Simplify (/ 1 1) into 1 8.988 * [taylor]: Taking taylor expansion of -1/2 in N 8.988 * [backup-simplify]: Simplify -1/2 into -1/2 8.988 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 8.988 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 8.988 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 8.988 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.988 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.989 * [taylor]: Taking taylor expansion of N in N 8.989 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify 1 into 1 8.989 * [backup-simplify]: Simplify (* 1 1) into 1 8.989 * [backup-simplify]: Simplify (* 1 1) into 1 8.990 * [backup-simplify]: Simplify (/ 1 1) into 1 8.990 * [taylor]: Taking taylor expansion of 1/3 in N 8.990 * [backup-simplify]: Simplify 1/3 into 1/3 8.990 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.990 * [taylor]: Taking taylor expansion of N in N 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify 1 into 1 8.990 * [backup-simplify]: Simplify (/ 1 1) into 1 8.991 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 8.991 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 8.992 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 8.992 * [backup-simplify]: Simplify 1/3 into 1/3 8.992 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 8.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0 8.996 * [backup-simplify]: Simplify (+ 0 0) into 0 8.996 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 8.996 * [backup-simplify]: Simplify -1/2 into -1/2 8.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 8.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 9.003 * [backup-simplify]: Simplify (+ 0 1) into 1 9.003 * [backup-simplify]: Simplify (+ 0 1) into 1 9.003 * [backup-simplify]: Simplify 1 into 1 9.003 * [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)))) 9.004 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N)))) into (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 9.004 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in (N) around 0 9.004 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 9.004 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 9.004 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.004 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.004 * [taylor]: Taking taylor expansion of N in N 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [taylor]: Taking taylor expansion of -1/2 in N 9.004 * [backup-simplify]: Simplify -1/2 into -1/2 9.004 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 9.004 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 9.004 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 9.004 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.004 * [taylor]: Taking taylor expansion of N in N 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [taylor]: Taking taylor expansion of 1/3 in N 9.004 * [backup-simplify]: Simplify 1/3 into 1/3 9.004 * [taylor]: Taking taylor expansion of N in N 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 9.005 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 9.005 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.005 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.005 * [taylor]: Taking taylor expansion of N in N 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [taylor]: Taking taylor expansion of -1/2 in N 9.005 * [backup-simplify]: Simplify -1/2 into -1/2 9.005 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 9.005 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 9.005 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 9.005 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.005 * [taylor]: Taking taylor expansion of N in N 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [taylor]: Taking taylor expansion of 1/3 in N 9.005 * [backup-simplify]: Simplify 1/3 into 1/3 9.005 * [taylor]: Taking taylor expansion of N in N 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (+ 0 0) into 0 9.006 * [backup-simplify]: Simplify (+ 0 0) into 0 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify (+ 0 1) into 1 9.007 * [backup-simplify]: Simplify (+ 0 1) into 1 9.007 * [backup-simplify]: Simplify 1 into 1 9.007 * [backup-simplify]: Simplify (* 1 1) into 1 9.008 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 9.008 * [backup-simplify]: Simplify (+ 0 0) into 0 9.009 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.009 * [backup-simplify]: Simplify -1/2 into -1/2 9.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 9.010 * [backup-simplify]: Simplify (* 1 1) into 1 9.011 * [backup-simplify]: Simplify (* 1 1) into 1 9.011 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 9.012 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.012 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.012 * [backup-simplify]: Simplify 1/3 into 1/3 9.013 * [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)))) 9.013 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N))))) into (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 9.013 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in (N) around 0 9.013 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 9.013 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 9.013 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.013 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.013 * [taylor]: Taking taylor expansion of N in N 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [taylor]: Taking taylor expansion of -1/2 in N 9.013 * [backup-simplify]: Simplify -1/2 into -1/2 9.013 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 9.013 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 9.013 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 9.013 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 9.014 * [taylor]: Taking taylor expansion of -1 in N 9.014 * [backup-simplify]: Simplify -1 into -1 9.014 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.014 * [taylor]: Taking taylor expansion of N in N 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.014 * [taylor]: Taking taylor expansion of 1/3 in N 9.014 * [backup-simplify]: Simplify 1/3 into 1/3 9.014 * [taylor]: Taking taylor expansion of (* -1 N) in N 9.014 * [taylor]: Taking taylor expansion of -1 in N 9.014 * [backup-simplify]: Simplify -1 into -1 9.014 * [taylor]: Taking taylor expansion of N in N 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.014 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 9.014 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 9.014 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.014 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.014 * [taylor]: Taking taylor expansion of N in N 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.014 * [taylor]: Taking taylor expansion of -1/2 in N 9.014 * [backup-simplify]: Simplify -1/2 into -1/2 9.014 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 9.014 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 9.014 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 9.014 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 9.014 * [taylor]: Taking taylor expansion of -1 in N 9.014 * [backup-simplify]: Simplify -1 into -1 9.014 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.014 * [taylor]: Taking taylor expansion of N in N 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.014 * [taylor]: Taking taylor expansion of 1/3 in N 9.014 * [backup-simplify]: Simplify 1/3 into 1/3 9.014 * [taylor]: Taking taylor expansion of (* -1 N) in N 9.014 * [taylor]: Taking taylor expansion of -1 in N 9.014 * [backup-simplify]: Simplify -1 into -1 9.015 * [taylor]: Taking taylor expansion of N in N 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify 1 into 1 9.015 * [backup-simplify]: Simplify (* -1 0) into 0 9.016 * [backup-simplify]: Simplify (+ 0 0) into 0 9.016 * [backup-simplify]: Simplify (+ 0 0) into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 9.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.018 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.018 * [backup-simplify]: Simplify -1 into -1 9.018 * [backup-simplify]: Simplify (* 1 1) into 1 9.018 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 9.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 9.020 * [backup-simplify]: Simplify (+ 0 0) into 0 9.020 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.020 * [backup-simplify]: Simplify -1/2 into -1/2 9.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 9.022 * [backup-simplify]: Simplify (* 1 1) into 1 9.023 * [backup-simplify]: Simplify (* 1 1) into 1 9.023 * [backup-simplify]: Simplify (* -1 1) into -1 9.023 * [backup-simplify]: Simplify (* -1 1/3) into -1/3 9.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.024 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 9.025 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 9.025 * [backup-simplify]: Simplify -1/3 into -1/3 9.025 * [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)))) 9.025 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.025 * [backup-simplify]: Simplify (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) into (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 9.025 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in (N) around 0 9.025 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 9.025 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 9.025 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 9.025 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.025 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.025 * [taylor]: Taking taylor expansion of N in N 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (* 1 1) into 1 9.026 * [backup-simplify]: Simplify (/ 1 1) into 1 9.026 * [taylor]: Taking taylor expansion of -1/2 in N 9.026 * [backup-simplify]: Simplify -1/2 into -1/2 9.026 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 9.026 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 9.026 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 9.026 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.026 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.026 * [taylor]: Taking taylor expansion of N in N 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (* 1 1) into 1 9.027 * [backup-simplify]: Simplify (* 1 1) into 1 9.027 * [backup-simplify]: Simplify (/ 1 1) into 1 9.027 * [taylor]: Taking taylor expansion of 1/3 in N 9.027 * [backup-simplify]: Simplify 1/3 into 1/3 9.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.027 * [taylor]: Taking taylor expansion of N in N 9.027 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify 1 into 1 9.027 * [backup-simplify]: Simplify (/ 1 1) into 1 9.027 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 9.027 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 9.027 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 9.027 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.027 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.027 * [taylor]: Taking taylor expansion of N in N 9.027 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify 1 into 1 9.028 * [backup-simplify]: Simplify (* 1 1) into 1 9.028 * [backup-simplify]: Simplify (/ 1 1) into 1 9.028 * [taylor]: Taking taylor expansion of -1/2 in N 9.028 * [backup-simplify]: Simplify -1/2 into -1/2 9.028 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 9.028 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 9.028 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 9.028 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.028 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.028 * [taylor]: Taking taylor expansion of N in N 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify 1 into 1 9.028 * [backup-simplify]: Simplify (* 1 1) into 1 9.029 * [backup-simplify]: Simplify (* 1 1) into 1 9.029 * [backup-simplify]: Simplify (/ 1 1) into 1 9.029 * [taylor]: Taking taylor expansion of 1/3 in N 9.029 * [backup-simplify]: Simplify 1/3 into 1/3 9.029 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.029 * [taylor]: Taking taylor expansion of N in N 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify 1 into 1 9.029 * [backup-simplify]: Simplify (/ 1 1) into 1 9.030 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 9.030 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.030 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.030 * [backup-simplify]: Simplify 1/3 into 1/3 9.030 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 9.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0 9.032 * [backup-simplify]: Simplify (+ 0 0) into 0 9.033 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.033 * [backup-simplify]: Simplify -1/2 into -1/2 9.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 9.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 9.037 * [backup-simplify]: Simplify (+ 0 1) into 1 9.037 * [backup-simplify]: Simplify (+ 0 1) into 1 9.037 * [backup-simplify]: Simplify 1 into 1 9.037 * [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)))) 9.037 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N)))) into (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 9.037 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in (N) around 0 9.037 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 9.037 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 9.037 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.037 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.037 * [taylor]: Taking taylor expansion of N in N 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify 1 into 1 9.038 * [taylor]: Taking taylor expansion of -1/2 in N 9.038 * [backup-simplify]: Simplify -1/2 into -1/2 9.038 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 9.038 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 9.038 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 9.038 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.038 * [taylor]: Taking taylor expansion of N in N 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.038 * [taylor]: Taking taylor expansion of 1/3 in N 9.038 * [backup-simplify]: Simplify 1/3 into 1/3 9.038 * [taylor]: Taking taylor expansion of N in N 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.038 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 9.038 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 9.038 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.038 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.038 * [taylor]: Taking taylor expansion of N in N 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.038 * [taylor]: Taking taylor expansion of -1/2 in N 9.038 * [backup-simplify]: Simplify -1/2 into -1/2 9.038 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 9.038 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 9.038 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 9.038 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.038 * [taylor]: Taking taylor expansion of N in N 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.038 * [taylor]: Taking taylor expansion of 1/3 in N 9.038 * [backup-simplify]: Simplify 1/3 into 1/3 9.038 * [taylor]: Taking taylor expansion of N in N 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.038 * [backup-simplify]: Simplify (+ 0 0) into 0 9.039 * [backup-simplify]: Simplify (+ 0 0) into 0 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify (+ 0 1) into 1 9.039 * [backup-simplify]: Simplify (+ 0 1) into 1 9.039 * [backup-simplify]: Simplify 1 into 1 9.040 * [backup-simplify]: Simplify (* 1 1) into 1 9.040 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 9.040 * [backup-simplify]: Simplify (+ 0 0) into 0 9.040 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.040 * [backup-simplify]: Simplify -1/2 into -1/2 9.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 9.041 * [backup-simplify]: Simplify (* 1 1) into 1 9.042 * [backup-simplify]: Simplify (* 1 1) into 1 9.042 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 9.042 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.042 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.043 * [backup-simplify]: Simplify 1/3 into 1/3 9.043 * [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)))) 9.043 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N))))) into (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 9.043 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in (N) around 0 9.043 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 9.043 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 9.043 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.043 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.043 * [taylor]: Taking taylor expansion of N in N 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [taylor]: Taking taylor expansion of -1/2 in N 9.043 * [backup-simplify]: Simplify -1/2 into -1/2 9.043 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 9.043 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 9.043 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 9.043 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 9.043 * [taylor]: Taking taylor expansion of -1 in N 9.043 * [backup-simplify]: Simplify -1 into -1 9.043 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.043 * [taylor]: Taking taylor expansion of N in N 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [taylor]: Taking taylor expansion of 1/3 in N 9.043 * [backup-simplify]: Simplify 1/3 into 1/3 9.043 * [taylor]: Taking taylor expansion of (* -1 N) in N 9.043 * [taylor]: Taking taylor expansion of -1 in N 9.043 * [backup-simplify]: Simplify -1 into -1 9.043 * [taylor]: Taking taylor expansion of N in N 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 1 into 1 9.044 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 9.044 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 9.044 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.044 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.044 * [taylor]: Taking taylor expansion of N in N 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify 1 into 1 9.044 * [taylor]: Taking taylor expansion of -1/2 in N 9.044 * [backup-simplify]: Simplify -1/2 into -1/2 9.044 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 9.044 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 9.044 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 9.044 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 9.044 * [taylor]: Taking taylor expansion of -1 in N 9.044 * [backup-simplify]: Simplify -1 into -1 9.044 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.044 * [taylor]: Taking taylor expansion of N in N 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify 1 into 1 9.044 * [taylor]: Taking taylor expansion of 1/3 in N 9.044 * [backup-simplify]: Simplify 1/3 into 1/3 9.044 * [taylor]: Taking taylor expansion of (* -1 N) in N 9.044 * [taylor]: Taking taylor expansion of -1 in N 9.044 * [backup-simplify]: Simplify -1 into -1 9.044 * [taylor]: Taking taylor expansion of N in N 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify 1 into 1 9.044 * [backup-simplify]: Simplify (* -1 0) into 0 9.045 * [backup-simplify]: Simplify (+ 0 0) into 0 9.045 * [backup-simplify]: Simplify (+ 0 0) into 0 9.045 * [backup-simplify]: Simplify 0 into 0 9.045 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 9.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.046 * [backup-simplify]: Simplify -1 into -1 9.046 * [backup-simplify]: Simplify (* 1 1) into 1 9.047 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 9.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 9.048 * [backup-simplify]: Simplify (+ 0 0) into 0 9.048 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.048 * [backup-simplify]: Simplify -1/2 into -1/2 9.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 9.049 * [backup-simplify]: Simplify (* 1 1) into 1 9.049 * [backup-simplify]: Simplify (* 1 1) into 1 9.050 * [backup-simplify]: Simplify (* -1 1) into -1 9.050 * [backup-simplify]: Simplify (* -1 1/3) into -1/3 9.051 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.051 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 9.051 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 9.051 * [backup-simplify]: Simplify -1/3 into -1/3 9.052 * [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)))) 9.052 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 9.052 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) into (sqrt (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) 9.052 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in (N) around 0 9.052 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 9.052 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 9.052 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 9.052 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 9.052 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.052 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.052 * [taylor]: Taking taylor expansion of N in N 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify 1 into 1 9.052 * [backup-simplify]: Simplify (* 1 1) into 1 9.053 * [backup-simplify]: Simplify (/ 1 1) into 1 9.053 * [taylor]: Taking taylor expansion of -1/2 in N 9.053 * [backup-simplify]: Simplify -1/2 into -1/2 9.053 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 9.053 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 9.053 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 9.053 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.053 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.053 * [taylor]: Taking taylor expansion of N in N 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 1 into 1 9.053 * [backup-simplify]: Simplify (* 1 1) into 1 9.053 * [backup-simplify]: Simplify (* 1 1) into 1 9.053 * [backup-simplify]: Simplify (/ 1 1) into 1 9.053 * [taylor]: Taking taylor expansion of 1/3 in N 9.054 * [backup-simplify]: Simplify 1/3 into 1/3 9.054 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.054 * [taylor]: Taking taylor expansion of N in N 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.055 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 9.055 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.055 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.056 * [backup-simplify]: Simplify (sqrt 0) into 0 9.058 * [backup-simplify]: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 9.058 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 9.058 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 9.058 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 9.058 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 9.058 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.058 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.058 * [taylor]: Taking taylor expansion of N in N 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [backup-simplify]: Simplify (* 1 1) into 1 9.059 * [backup-simplify]: Simplify (/ 1 1) into 1 9.059 * [taylor]: Taking taylor expansion of -1/2 in N 9.059 * [backup-simplify]: Simplify -1/2 into -1/2 9.059 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 9.059 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 9.059 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 9.059 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.059 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.059 * [taylor]: Taking taylor expansion of N in N 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 1 into 1 9.059 * [backup-simplify]: Simplify (* 1 1) into 1 9.060 * [backup-simplify]: Simplify (* 1 1) into 1 9.060 * [backup-simplify]: Simplify (/ 1 1) into 1 9.060 * [taylor]: Taking taylor expansion of 1/3 in N 9.060 * [backup-simplify]: Simplify 1/3 into 1/3 9.060 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.060 * [taylor]: Taking taylor expansion of N in N 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify 1 into 1 9.061 * [backup-simplify]: Simplify (/ 1 1) into 1 9.061 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 9.061 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.062 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.062 * [backup-simplify]: Simplify (sqrt 0) into 0 9.070 * [backup-simplify]: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.071 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 9.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0 9.075 * [backup-simplify]: Simplify (+ 0 0) into 0 9.076 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.079 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.080 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 9.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 9.086 * [backup-simplify]: Simplify (+ 0 1) into 1 9.086 * [backup-simplify]: Simplify (+ 0 1) into 1 9.090 * [backup-simplify]: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.091 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.091 * [backup-simplify]: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 9.091 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N))))) into (sqrt (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) 9.091 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in (N) around 0 9.091 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 9.091 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 9.092 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 9.092 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.092 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.092 * [taylor]: Taking taylor expansion of N in N 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 1 into 1 9.092 * [taylor]: Taking taylor expansion of -1/2 in N 9.092 * [backup-simplify]: Simplify -1/2 into -1/2 9.092 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 9.092 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 9.092 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 9.092 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.092 * [taylor]: Taking taylor expansion of N in N 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 1 into 1 9.092 * [taylor]: Taking taylor expansion of 1/3 in N 9.092 * [backup-simplify]: Simplify 1/3 into 1/3 9.092 * [taylor]: Taking taylor expansion of N in N 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 1 into 1 9.092 * [backup-simplify]: Simplify (+ 0 0) into 0 9.093 * [backup-simplify]: Simplify (+ 0 0) into 0 9.093 * [backup-simplify]: Simplify (+ 0 1) into 1 9.094 * [backup-simplify]: Simplify (+ 0 1) into 1 9.094 * [backup-simplify]: Simplify (sqrt 0) into 0 9.095 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.095 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 9.095 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 9.096 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 9.096 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.096 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.096 * [taylor]: Taking taylor expansion of N in N 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify 1 into 1 9.096 * [taylor]: Taking taylor expansion of -1/2 in N 9.096 * [backup-simplify]: Simplify -1/2 into -1/2 9.096 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 9.096 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 9.096 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 9.096 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.096 * [taylor]: Taking taylor expansion of N in N 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify 1 into 1 9.096 * [taylor]: Taking taylor expansion of 1/3 in N 9.096 * [backup-simplify]: Simplify 1/3 into 1/3 9.096 * [taylor]: Taking taylor expansion of N in N 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify 1 into 1 9.096 * [backup-simplify]: Simplify (+ 0 0) into 0 9.097 * [backup-simplify]: Simplify (+ 0 0) into 0 9.097 * [backup-simplify]: Simplify (+ 0 1) into 1 9.098 * [backup-simplify]: Simplify (+ 0 1) into 1 9.098 * [backup-simplify]: Simplify (sqrt 0) into 0 9.099 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.100 * [backup-simplify]: Simplify (* 1 1) into 1 9.100 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 9.101 * [backup-simplify]: Simplify (+ 0 0) into 0 9.101 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.103 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.103 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 9.104 * [backup-simplify]: Simplify (* 1 1) into 1 9.105 * [backup-simplify]: Simplify (* 1 1) into 1 9.105 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 9.105 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.105 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.108 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.108 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.108 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 9.108 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N)))))) into (sqrt (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) 9.108 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in (N) around 0 9.108 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 9.108 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 9.109 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 9.109 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.109 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.109 * [taylor]: Taking taylor expansion of N in N 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.109 * [taylor]: Taking taylor expansion of -1/2 in N 9.109 * [backup-simplify]: Simplify -1/2 into -1/2 9.109 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 9.109 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 9.109 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 9.109 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 9.109 * [taylor]: Taking taylor expansion of -1 in N 9.109 * [backup-simplify]: Simplify -1 into -1 9.109 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.109 * [taylor]: Taking taylor expansion of N in N 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.109 * [taylor]: Taking taylor expansion of 1/3 in N 9.109 * [backup-simplify]: Simplify 1/3 into 1/3 9.109 * [taylor]: Taking taylor expansion of (* -1 N) in N 9.109 * [taylor]: Taking taylor expansion of -1 in N 9.109 * [backup-simplify]: Simplify -1 into -1 9.109 * [taylor]: Taking taylor expansion of N in N 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.109 * [backup-simplify]: Simplify (* -1 0) into 0 9.109 * [backup-simplify]: Simplify (+ 0 0) into 0 9.110 * [backup-simplify]: Simplify (+ 0 0) into 0 9.110 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 9.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.111 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.111 * [backup-simplify]: Simplify (sqrt 0) into 0 9.112 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.112 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 9.112 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 9.112 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 9.112 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.112 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.112 * [taylor]: Taking taylor expansion of N in N 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [taylor]: Taking taylor expansion of -1/2 in N 9.112 * [backup-simplify]: Simplify -1/2 into -1/2 9.112 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 9.112 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 9.112 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 9.112 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 9.112 * [taylor]: Taking taylor expansion of -1 in N 9.112 * [backup-simplify]: Simplify -1 into -1 9.112 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.112 * [taylor]: Taking taylor expansion of N in N 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [taylor]: Taking taylor expansion of 1/3 in N 9.112 * [backup-simplify]: Simplify 1/3 into 1/3 9.112 * [taylor]: Taking taylor expansion of (* -1 N) in N 9.112 * [taylor]: Taking taylor expansion of -1 in N 9.112 * [backup-simplify]: Simplify -1 into -1 9.112 * [taylor]: Taking taylor expansion of N in N 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [backup-simplify]: Simplify (* -1 0) into 0 9.113 * [backup-simplify]: Simplify (+ 0 0) into 0 9.113 * [backup-simplify]: Simplify (+ 0 0) into 0 9.113 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 9.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.114 * [backup-simplify]: Simplify (sqrt 0) into 0 9.115 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.115 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.115 * [backup-simplify]: Simplify (* 1 1) into 1 9.116 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 9.116 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 9.117 * [backup-simplify]: Simplify (+ 0 0) into 0 9.117 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.119 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.119 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 9.120 * [backup-simplify]: Simplify (* 1 1) into 1 9.120 * [backup-simplify]: Simplify (* 1 1) into 1 9.120 * [backup-simplify]: Simplify (* -1 1) into -1 9.121 * [backup-simplify]: Simplify (* -1 1/3) into -1/3 9.121 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.121 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 9.122 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 9.124 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.124 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.124 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 3)) (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (* +nan.0 (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 9.125 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 9.125 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) into (sqrt (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) 9.125 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in (N) around 0 9.125 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 9.125 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 9.125 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 9.125 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 9.125 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.125 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.125 * [taylor]: Taking taylor expansion of N in N 9.125 * [backup-simplify]: Simplify 0 into 0 9.125 * [backup-simplify]: Simplify 1 into 1 9.125 * [backup-simplify]: Simplify (* 1 1) into 1 9.125 * [backup-simplify]: Simplify (/ 1 1) into 1 9.125 * [taylor]: Taking taylor expansion of -1/2 in N 9.125 * [backup-simplify]: Simplify -1/2 into -1/2 9.125 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 9.125 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 9.126 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 9.126 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.126 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.126 * [taylor]: Taking taylor expansion of N in N 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 1 into 1 9.126 * [backup-simplify]: Simplify (* 1 1) into 1 9.126 * [backup-simplify]: Simplify (* 1 1) into 1 9.126 * [backup-simplify]: Simplify (/ 1 1) into 1 9.126 * [taylor]: Taking taylor expansion of 1/3 in N 9.126 * [backup-simplify]: Simplify 1/3 into 1/3 9.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.126 * [taylor]: Taking taylor expansion of N in N 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 1 into 1 9.127 * [backup-simplify]: Simplify (/ 1 1) into 1 9.127 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 9.127 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.127 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.128 * [backup-simplify]: Simplify (sqrt 0) into 0 9.128 * [backup-simplify]: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 9.128 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 9.128 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 9.129 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 9.129 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 9.129 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.129 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.129 * [taylor]: Taking taylor expansion of N in N 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify 1 into 1 9.129 * [backup-simplify]: Simplify (* 1 1) into 1 9.129 * [backup-simplify]: Simplify (/ 1 1) into 1 9.129 * [taylor]: Taking taylor expansion of -1/2 in N 9.129 * [backup-simplify]: Simplify -1/2 into -1/2 9.129 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 9.129 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 9.129 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 9.129 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.129 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.129 * [taylor]: Taking taylor expansion of N in N 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify 1 into 1 9.130 * [backup-simplify]: Simplify (* 1 1) into 1 9.130 * [backup-simplify]: Simplify (* 1 1) into 1 9.130 * [backup-simplify]: Simplify (/ 1 1) into 1 9.130 * [taylor]: Taking taylor expansion of 1/3 in N 9.130 * [backup-simplify]: Simplify 1/3 into 1/3 9.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.130 * [taylor]: Taking taylor expansion of N in N 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 1 into 1 9.131 * [backup-simplify]: Simplify (/ 1 1) into 1 9.131 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 9.131 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.132 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.132 * [backup-simplify]: Simplify (sqrt 0) into 0 9.134 * [backup-simplify]: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.134 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 9.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0 9.137 * [backup-simplify]: Simplify (+ 0 0) into 0 9.138 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.141 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.141 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 9.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 9.145 * [backup-simplify]: Simplify (+ 0 1) into 1 9.145 * [backup-simplify]: Simplify (+ 0 1) into 1 9.148 * [backup-simplify]: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.148 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.148 * [backup-simplify]: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 9.149 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N))))) into (sqrt (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) 9.149 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in (N) around 0 9.149 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 9.149 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 9.149 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 9.149 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.149 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.149 * [taylor]: Taking taylor expansion of N in N 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [taylor]: Taking taylor expansion of -1/2 in N 9.149 * [backup-simplify]: Simplify -1/2 into -1/2 9.149 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 9.149 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 9.149 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 9.149 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.149 * [taylor]: Taking taylor expansion of N in N 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [taylor]: Taking taylor expansion of 1/3 in N 9.149 * [backup-simplify]: Simplify 1/3 into 1/3 9.149 * [taylor]: Taking taylor expansion of N in N 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [backup-simplify]: Simplify (+ 0 0) into 0 9.149 * [backup-simplify]: Simplify (+ 0 0) into 0 9.150 * [backup-simplify]: Simplify (+ 0 1) into 1 9.150 * [backup-simplify]: Simplify (+ 0 1) into 1 9.150 * [backup-simplify]: Simplify (sqrt 0) into 0 9.151 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.151 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 9.151 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 9.151 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 9.151 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.151 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.151 * [taylor]: Taking taylor expansion of N in N 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 1 into 1 9.151 * [taylor]: Taking taylor expansion of -1/2 in N 9.151 * [backup-simplify]: Simplify -1/2 into -1/2 9.151 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 9.151 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 9.151 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 9.151 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.151 * [taylor]: Taking taylor expansion of N in N 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 1 into 1 9.151 * [taylor]: Taking taylor expansion of 1/3 in N 9.151 * [backup-simplify]: Simplify 1/3 into 1/3 9.151 * [taylor]: Taking taylor expansion of N in N 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 1 into 1 9.152 * [backup-simplify]: Simplify (+ 0 0) into 0 9.152 * [backup-simplify]: Simplify (+ 0 0) into 0 9.152 * [backup-simplify]: Simplify (+ 0 1) into 1 9.153 * [backup-simplify]: Simplify (+ 0 1) into 1 9.153 * [backup-simplify]: Simplify (sqrt 0) into 0 9.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.154 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.154 * [backup-simplify]: Simplify (* 1 1) into 1 9.154 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 9.155 * [backup-simplify]: Simplify (+ 0 0) into 0 9.155 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.157 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.157 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 9.158 * [backup-simplify]: Simplify (* 1 1) into 1 9.158 * [backup-simplify]: Simplify (* 1 1) into 1 9.159 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 9.159 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.159 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.162 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.162 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.162 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 9.162 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N)))))) into (sqrt (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) 9.162 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in (N) around 0 9.162 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 9.162 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 9.162 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 9.162 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.162 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.163 * [taylor]: Taking taylor expansion of N in N 9.163 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify 1 into 1 9.163 * [taylor]: Taking taylor expansion of -1/2 in N 9.163 * [backup-simplify]: Simplify -1/2 into -1/2 9.163 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 9.163 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 9.163 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 9.163 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 9.163 * [taylor]: Taking taylor expansion of -1 in N 9.163 * [backup-simplify]: Simplify -1 into -1 9.163 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.163 * [taylor]: Taking taylor expansion of N in N 9.163 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify 1 into 1 9.163 * [taylor]: Taking taylor expansion of 1/3 in N 9.163 * [backup-simplify]: Simplify 1/3 into 1/3 9.163 * [taylor]: Taking taylor expansion of (* -1 N) in N 9.163 * [taylor]: Taking taylor expansion of -1 in N 9.163 * [backup-simplify]: Simplify -1 into -1 9.163 * [taylor]: Taking taylor expansion of N in N 9.163 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify 1 into 1 9.163 * [backup-simplify]: Simplify (* -1 0) into 0 9.163 * [backup-simplify]: Simplify (+ 0 0) into 0 9.164 * [backup-simplify]: Simplify (+ 0 0) into 0 9.164 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 9.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.165 * [backup-simplify]: Simplify (sqrt 0) into 0 9.166 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.166 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 9.166 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 9.166 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 9.166 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 9.166 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.166 * [taylor]: Taking taylor expansion of N in N 9.166 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.167 * [taylor]: Taking taylor expansion of -1/2 in N 9.167 * [backup-simplify]: Simplify -1/2 into -1/2 9.167 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 9.167 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 9.167 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 9.167 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 9.167 * [taylor]: Taking taylor expansion of -1 in N 9.167 * [backup-simplify]: Simplify -1 into -1 9.167 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.167 * [taylor]: Taking taylor expansion of N in N 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.167 * [taylor]: Taking taylor expansion of 1/3 in N 9.167 * [backup-simplify]: Simplify 1/3 into 1/3 9.167 * [taylor]: Taking taylor expansion of (* -1 N) in N 9.167 * [taylor]: Taking taylor expansion of -1 in N 9.167 * [backup-simplify]: Simplify -1 into -1 9.167 * [taylor]: Taking taylor expansion of N in N 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.167 * [backup-simplify]: Simplify (* -1 0) into 0 9.167 * [backup-simplify]: Simplify (+ 0 0) into 0 9.168 * [backup-simplify]: Simplify (+ 0 0) into 0 9.168 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 9.168 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.169 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.169 * [backup-simplify]: Simplify (sqrt 0) into 0 9.170 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.170 * [backup-simplify]: Simplify (* 1 1) into 1 9.171 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 9.171 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 9.171 * [backup-simplify]: Simplify (+ 0 0) into 0 9.172 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.174 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.174 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 9.175 * [backup-simplify]: Simplify (* 1 1) into 1 9.175 * [backup-simplify]: Simplify (* 1 1) into 1 9.175 * [backup-simplify]: Simplify (* -1 1) into -1 9.176 * [backup-simplify]: Simplify (* -1 1/3) into -1/3 9.176 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.179 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 9.180 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 9.183 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.183 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.184 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 3)) (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (* +nan.0 (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 9.184 * * * [progress]: simplifying candidates 9.184 * * * * [progress]: [ 1 / 66 ] simplifiying candidate # 9.184 * * * * [progress]: [ 2 / 66 ] simplifiying candidate # 9.184 * * * * [progress]: [ 3 / 66 ] simplifiying candidate # 9.184 * * * * [progress]: [ 4 / 66 ] simplifiying candidate # 9.184 * * * * [progress]: [ 5 / 66 ] simplifiying candidate # 9.184 * * * * [progress]: [ 6 / 66 ] simplifiying candidate # 9.184 * * * * [progress]: [ 7 / 66 ] simplifiying candidate # 9.184 * * * * [progress]: [ 8 / 66 ] simplifiying candidate # 9.184 * * * * [progress]: [ 9 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 10 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 11 / 66 ] simplifiying candidate #real (real->posit16 (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))))> 9.185 * * * * [progress]: [ 12 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 13 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 14 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 15 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 16 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 17 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 18 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 19 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 20 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 21 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 22 / 66 ] simplifiying candidate #real (real->posit16 (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> 9.185 * * * * [progress]: [ 23 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 24 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 25 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 26 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 27 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 28 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 29 / 66 ] simplifiying candidate # 9.185 * * * * [progress]: [ 30 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 31 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 32 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 33 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 34 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 35 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 36 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 37 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 38 / 66 ] simplifiying candidate #real (real->posit16 (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))))> 9.186 * * * * [progress]: [ 39 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 40 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 41 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 42 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 43 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 44 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 45 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 46 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 47 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 48 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 49 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 50 / 66 ] simplifiying candidate # 9.186 * * * * [progress]: [ 51 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 52 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 53 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 54 / 66 ] simplifiying candidate #real (real->posit16 (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> 9.187 * * * * [progress]: [ 55 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 56 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 57 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 58 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 59 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 60 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 61 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 62 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 63 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 64 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 65 / 66 ] simplifiying candidate # 9.187 * * * * [progress]: [ 66 / 66 ] simplifiying candidate # 9.188 * [simplify]: Simplifying: (expm1 (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (log1p (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (/ (/ 1 N) N) -1/2) (log (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (exp (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (* (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (real->posit16 (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (expm1 (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (log1p (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (/ (/ 1 N) N) -1/2) (log (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (exp (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (* (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (real->posit16 (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (expm1 (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (log1p (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (log (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (exp (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (* (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (* (* (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt 1) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (/ 1 2) (sqrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (real->posit16 (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (expm1 (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (log1p (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (log (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (exp (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (* (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (* (* (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt 1) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (/ 1 2) (sqrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (real->posit16 (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 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 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)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 9.189 * * [simplify]: iteration 1: (63 enodes) 9.212 * * [simplify]: iteration 2: (135 enodes) 9.274 * * [simplify]: iteration 3: (320 enodes) 9.430 * * [simplify]: iteration 4: (1024 enodes) 11.142 * * [simplify]: Extracting #0: cost 26 inf + 0 11.142 * * [simplify]: Extracting #1: cost 144 inf + 2 11.151 * * [simplify]: Extracting #2: cost 552 inf + 271 11.162 * * [simplify]: Extracting #3: cost 660 inf + 14807 11.211 * * [simplify]: Extracting #4: cost 338 inf + 116902 11.284 * * [simplify]: Extracting #5: cost 37 inf + 226405 11.389 * * [simplify]: Extracting #6: cost 0 inf + 234184 11.492 * * [simplify]: Extracting #7: cost 0 inf + 230663 11.585 * [simplify]: Simplified to: (expm1 (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (log1p (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (/ -1/2 (* N N)) (log (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (exp (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (* (cbrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (cbrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (* (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (* (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (real->posit16 (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (expm1 (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (log1p (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (/ -1/2 (* N N)) (log (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (exp (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (* (cbrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (cbrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (* (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (* (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (real->posit16 (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) (expm1 (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (log1p (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (log (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (exp (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (* (cbrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))))) (cbrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (* (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (fabs (cbrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (cbrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) 1 (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) 1/2 (sqrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (real->posit16 (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (expm1 (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (log1p (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (log (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (exp (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (* (cbrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))))) (cbrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (* (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (fabs (cbrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (cbrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) 1 (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)))) 1/2 (sqrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (real->posit16 (sqrt (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))))) (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (- (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ 1/2 (* N N))) (- (/ +nan.0 N) (fma N +nan.0 +nan.0)) (- (- (/ (/ +nan.0 N) (* N N)) (/ +nan.0 N)) (/ +nan.0 (* N N))) (- (- (/ (/ +nan.0 N) (* N N)) (/ +nan.0 N)) (/ +nan.0 (* N N))) (- (/ +nan.0 N) (fma N +nan.0 +nan.0)) (- (- (/ (/ +nan.0 N) (* N N)) (/ +nan.0 N)) (/ +nan.0 (* N N))) (- (- (/ (/ +nan.0 N) (* N N)) (/ +nan.0 N)) (/ +nan.0 (* N N))) 11.590 * * * [progress]: adding candidates to table 12.244 * * [progress]: iteration 4 / 4 12.244 * * * [progress]: picking best candidate 12.255 * * * * [pick]: Picked # 12.255 * * * [progress]: localizing error 12.361 * * * [progress]: generating rewritten candidates 12.361 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 12.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 12.364 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 12.365 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 12.377 * * * [progress]: generating series expansions 12.377 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 12.378 * [backup-simplify]: Simplify (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) into (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) 12.378 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in (N) around 0 12.378 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in N 12.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))))) in N 12.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))))) in N 12.378 * [taylor]: Taking taylor expansion of 1/3 in N 12.378 * [backup-simplify]: Simplify 1/3 into 1/3 12.378 * [taylor]: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 12.378 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 12.378 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 12.378 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 12.378 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.378 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.378 * [taylor]: Taking taylor expansion of N in N 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.380 * [backup-simplify]: Simplify (* 1 1) into 1 12.381 * [backup-simplify]: Simplify (/ 1 1) into 1 12.381 * [taylor]: Taking taylor expansion of -1/2 in N 12.381 * [backup-simplify]: Simplify -1/2 into -1/2 12.381 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 12.381 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 12.381 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 12.381 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.381 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.381 * [taylor]: Taking taylor expansion of N in N 12.381 * [backup-simplify]: Simplify 0 into 0 12.381 * [backup-simplify]: Simplify 1 into 1 12.381 * [backup-simplify]: Simplify (* 1 1) into 1 12.382 * [backup-simplify]: Simplify (* 1 1) into 1 12.382 * [backup-simplify]: Simplify (/ 1 1) into 1 12.382 * [taylor]: Taking taylor expansion of 1/3 in N 12.382 * [backup-simplify]: Simplify 1/3 into 1/3 12.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.382 * [taylor]: Taking taylor expansion of N in N 12.382 * [backup-simplify]: Simplify 0 into 0 12.382 * [backup-simplify]: Simplify 1 into 1 12.383 * [backup-simplify]: Simplify (/ 1 1) into 1 12.383 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.384 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.384 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.385 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 12.386 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.386 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 12.387 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.387 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in N 12.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))))) in N 12.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))))) in N 12.387 * [taylor]: Taking taylor expansion of 1/3 in N 12.387 * [backup-simplify]: Simplify 1/3 into 1/3 12.387 * [taylor]: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 12.387 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 12.387 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 12.387 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 12.387 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.387 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.387 * [taylor]: Taking taylor expansion of N in N 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.388 * [backup-simplify]: Simplify (* 1 1) into 1 12.388 * [backup-simplify]: Simplify (/ 1 1) into 1 12.388 * [taylor]: Taking taylor expansion of -1/2 in N 12.388 * [backup-simplify]: Simplify -1/2 into -1/2 12.388 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 12.388 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 12.388 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 12.388 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.388 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.388 * [taylor]: Taking taylor expansion of N in N 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify 1 into 1 12.389 * [backup-simplify]: Simplify (* 1 1) into 1 12.389 * [backup-simplify]: Simplify (* 1 1) into 1 12.390 * [backup-simplify]: Simplify (/ 1 1) into 1 12.390 * [taylor]: Taking taylor expansion of 1/3 in N 12.390 * [backup-simplify]: Simplify 1/3 into 1/3 12.390 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.390 * [taylor]: Taking taylor expansion of N in N 12.390 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify 1 into 1 12.390 * [backup-simplify]: Simplify (/ 1 1) into 1 12.391 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.391 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.392 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.392 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 12.393 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.393 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 12.394 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.403 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.404 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0 12.409 * [backup-simplify]: Simplify (+ 0 0) into 0 12.410 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.411 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 12.412 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.413 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 12.415 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.416 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 12.422 * [backup-simplify]: Simplify (+ 0 1) into 1 12.423 * [backup-simplify]: Simplify (+ 0 1) into 1 12.425 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 12.426 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.428 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 12.430 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.430 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.432 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 12.432 * [backup-simplify]: Simplify (cbrt (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N))))) into (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) 12.433 * [approximate]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in (N) around 0 12.433 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in N 12.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))))) in N 12.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)))) in N 12.433 * [taylor]: Taking taylor expansion of 1/3 in N 12.433 * [backup-simplify]: Simplify 1/3 into 1/3 12.433 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 12.433 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 12.433 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 12.433 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.433 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.433 * [taylor]: Taking taylor expansion of N in N 12.433 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify 1 into 1 12.433 * [taylor]: Taking taylor expansion of -1/2 in N 12.433 * [backup-simplify]: Simplify -1/2 into -1/2 12.433 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 12.433 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 12.433 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 12.433 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.433 * [taylor]: Taking taylor expansion of N in N 12.433 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify 1 into 1 12.433 * [taylor]: Taking taylor expansion of 1/3 in N 12.433 * [backup-simplify]: Simplify 1/3 into 1/3 12.433 * [taylor]: Taking taylor expansion of N in N 12.433 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify 1 into 1 12.434 * [backup-simplify]: Simplify (+ 0 0) into 0 12.434 * [backup-simplify]: Simplify (+ 0 0) into 0 12.435 * [backup-simplify]: Simplify (+ 0 1) into 1 12.435 * [backup-simplify]: Simplify (+ 0 1) into 1 12.435 * [backup-simplify]: Simplify (log 1) into 0 12.436 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.436 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 12.436 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 12.436 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in N 12.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))))) in N 12.436 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)))) in N 12.436 * [taylor]: Taking taylor expansion of 1/3 in N 12.436 * [backup-simplify]: Simplify 1/3 into 1/3 12.436 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 12.436 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 12.436 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 12.436 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.436 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.436 * [taylor]: Taking taylor expansion of N in N 12.436 * [backup-simplify]: Simplify 0 into 0 12.436 * [backup-simplify]: Simplify 1 into 1 12.437 * [taylor]: Taking taylor expansion of -1/2 in N 12.437 * [backup-simplify]: Simplify -1/2 into -1/2 12.437 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 12.437 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 12.437 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 12.437 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.437 * [taylor]: Taking taylor expansion of N in N 12.437 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify 1 into 1 12.437 * [taylor]: Taking taylor expansion of 1/3 in N 12.437 * [backup-simplify]: Simplify 1/3 into 1/3 12.437 * [taylor]: Taking taylor expansion of N in N 12.437 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify 1 into 1 12.437 * [backup-simplify]: Simplify (+ 0 0) into 0 12.438 * [backup-simplify]: Simplify (+ 0 0) into 0 12.438 * [backup-simplify]: Simplify (+ 0 1) into 1 12.439 * [backup-simplify]: Simplify (+ 0 1) into 1 12.439 * [backup-simplify]: Simplify (log 1) into 0 12.439 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.439 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 12.440 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 12.440 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 12.440 * [backup-simplify]: Simplify (* 1 1) into 1 12.441 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.441 * [backup-simplify]: Simplify (+ 0 0) into 0 12.441 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 12.443 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.444 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 12.445 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 12.445 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 12.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.447 * [backup-simplify]: Simplify (* 1 1) into 1 12.447 * [backup-simplify]: Simplify (* 1 1) into 1 12.448 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.448 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.448 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.451 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 12.452 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.453 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 12.455 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 12.455 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 12.455 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 12.456 * [backup-simplify]: Simplify (cbrt (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N)))))) into (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) 12.456 * [approximate]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in (N) around 0 12.456 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in N 12.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))))) in N 12.456 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))))) in N 12.456 * [taylor]: Taking taylor expansion of 1/3 in N 12.456 * [backup-simplify]: Simplify 1/3 into 1/3 12.456 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 12.456 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 12.456 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 12.456 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.456 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.456 * [taylor]: Taking taylor expansion of N in N 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify 1 into 1 12.456 * [taylor]: Taking taylor expansion of -1/2 in N 12.456 * [backup-simplify]: Simplify -1/2 into -1/2 12.456 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 12.456 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 12.456 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 12.456 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 12.456 * [taylor]: Taking taylor expansion of -1 in N 12.456 * [backup-simplify]: Simplify -1 into -1 12.456 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.456 * [taylor]: Taking taylor expansion of N in N 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify 1 into 1 12.456 * [taylor]: Taking taylor expansion of 1/3 in N 12.457 * [backup-simplify]: Simplify 1/3 into 1/3 12.457 * [taylor]: Taking taylor expansion of (* -1 N) in N 12.457 * [taylor]: Taking taylor expansion of -1 in N 12.457 * [backup-simplify]: Simplify -1 into -1 12.457 * [taylor]: Taking taylor expansion of N in N 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [backup-simplify]: Simplify 1 into 1 12.457 * [backup-simplify]: Simplify (* -1 0) into 0 12.458 * [backup-simplify]: Simplify (+ 0 0) into 0 12.458 * [backup-simplify]: Simplify (+ 0 0) into 0 12.459 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 12.459 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.460 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.460 * [backup-simplify]: Simplify (log -1) into (log -1) 12.461 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.461 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 12.462 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.462 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in N 12.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))))) in N 12.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))))) in N 12.462 * [taylor]: Taking taylor expansion of 1/3 in N 12.462 * [backup-simplify]: Simplify 1/3 into 1/3 12.462 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 12.462 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 12.462 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 12.462 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.462 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.462 * [taylor]: Taking taylor expansion of N in N 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify 1 into 1 12.462 * [taylor]: Taking taylor expansion of -1/2 in N 12.462 * [backup-simplify]: Simplify -1/2 into -1/2 12.462 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 12.463 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 12.463 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 12.463 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 12.463 * [taylor]: Taking taylor expansion of -1 in N 12.463 * [backup-simplify]: Simplify -1 into -1 12.463 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.463 * [taylor]: Taking taylor expansion of N in N 12.463 * [backup-simplify]: Simplify 0 into 0 12.463 * [backup-simplify]: Simplify 1 into 1 12.463 * [taylor]: Taking taylor expansion of 1/3 in N 12.463 * [backup-simplify]: Simplify 1/3 into 1/3 12.463 * [taylor]: Taking taylor expansion of (* -1 N) in N 12.463 * [taylor]: Taking taylor expansion of -1 in N 12.463 * [backup-simplify]: Simplify -1 into -1 12.463 * [taylor]: Taking taylor expansion of N in N 12.463 * [backup-simplify]: Simplify 0 into 0 12.463 * [backup-simplify]: Simplify 1 into 1 12.463 * [backup-simplify]: Simplify (* -1 0) into 0 12.464 * [backup-simplify]: Simplify (+ 0 0) into 0 12.464 * [backup-simplify]: Simplify (+ 0 0) into 0 12.465 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 12.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.466 * [backup-simplify]: Simplify (log -1) into (log -1) 12.467 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.467 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 12.468 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.468 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.468 * [backup-simplify]: Simplify (* 1 1) into 1 12.469 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.469 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 12.469 * [backup-simplify]: Simplify (+ 0 0) into 0 12.470 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.470 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 12.471 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.472 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 12.472 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 12.473 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 12.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.474 * [backup-simplify]: Simplify (* 1 1) into 1 12.475 * [backup-simplify]: Simplify (* 1 1) into 1 12.475 * [backup-simplify]: Simplify (* -1 1) into -1 12.475 * [backup-simplify]: Simplify (* -1 1/3) into -1/3 12.476 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.476 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 12.476 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 12.478 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 12.478 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.479 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 12.480 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 12.481 * [backup-simplify]: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 12.482 * [backup-simplify]: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 12.482 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 12.482 * [backup-simplify]: Simplify (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) into (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) 12.482 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in (N) around 0 12.482 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in N 12.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))))) in N 12.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))))) in N 12.482 * [taylor]: Taking taylor expansion of 1/3 in N 12.482 * [backup-simplify]: Simplify 1/3 into 1/3 12.482 * [taylor]: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 12.482 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 12.482 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 12.482 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 12.482 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.482 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.482 * [taylor]: Taking taylor expansion of N in N 12.482 * [backup-simplify]: Simplify 0 into 0 12.482 * [backup-simplify]: Simplify 1 into 1 12.483 * [backup-simplify]: Simplify (* 1 1) into 1 12.483 * [backup-simplify]: Simplify (/ 1 1) into 1 12.483 * [taylor]: Taking taylor expansion of -1/2 in N 12.483 * [backup-simplify]: Simplify -1/2 into -1/2 12.483 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 12.483 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 12.483 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 12.483 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.483 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.483 * [taylor]: Taking taylor expansion of N in N 12.483 * [backup-simplify]: Simplify 0 into 0 12.483 * [backup-simplify]: Simplify 1 into 1 12.483 * [backup-simplify]: Simplify (* 1 1) into 1 12.484 * [backup-simplify]: Simplify (* 1 1) into 1 12.484 * [backup-simplify]: Simplify (/ 1 1) into 1 12.484 * [taylor]: Taking taylor expansion of 1/3 in N 12.484 * [backup-simplify]: Simplify 1/3 into 1/3 12.484 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.484 * [taylor]: Taking taylor expansion of N in N 12.484 * [backup-simplify]: Simplify 0 into 0 12.484 * [backup-simplify]: Simplify 1 into 1 12.484 * [backup-simplify]: Simplify (/ 1 1) into 1 12.485 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.485 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.485 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.486 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 12.486 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.486 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 12.487 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.487 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in N 12.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))))) in N 12.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))))) in N 12.487 * [taylor]: Taking taylor expansion of 1/3 in N 12.487 * [backup-simplify]: Simplify 1/3 into 1/3 12.487 * [taylor]: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 12.487 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 12.487 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 12.487 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 12.487 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.487 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.487 * [taylor]: Taking taylor expansion of N in N 12.487 * [backup-simplify]: Simplify 0 into 0 12.487 * [backup-simplify]: Simplify 1 into 1 12.487 * [backup-simplify]: Simplify (* 1 1) into 1 12.488 * [backup-simplify]: Simplify (/ 1 1) into 1 12.488 * [taylor]: Taking taylor expansion of -1/2 in N 12.488 * [backup-simplify]: Simplify -1/2 into -1/2 12.488 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 12.488 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 12.488 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 12.488 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.488 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.488 * [taylor]: Taking taylor expansion of N in N 12.488 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify 1 into 1 12.488 * [backup-simplify]: Simplify (* 1 1) into 1 12.488 * [backup-simplify]: Simplify (* 1 1) into 1 12.489 * [backup-simplify]: Simplify (/ 1 1) into 1 12.489 * [taylor]: Taking taylor expansion of 1/3 in N 12.489 * [backup-simplify]: Simplify 1/3 into 1/3 12.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.489 * [taylor]: Taking taylor expansion of N in N 12.489 * [backup-simplify]: Simplify 0 into 0 12.489 * [backup-simplify]: Simplify 1 into 1 12.489 * [backup-simplify]: Simplify (/ 1 1) into 1 12.489 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.489 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.490 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.490 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 12.490 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.491 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 12.491 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.491 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.492 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0 12.494 * [backup-simplify]: Simplify (+ 0 0) into 0 12.494 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 12.496 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.497 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 12.498 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.499 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 12.505 * [backup-simplify]: Simplify (+ 0 1) into 1 12.505 * [backup-simplify]: Simplify (+ 0 1) into 1 12.508 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 12.509 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.510 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 12.512 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.512 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.514 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 12.515 * [backup-simplify]: Simplify (cbrt (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N))))) into (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) 12.515 * [approximate]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in (N) around 0 12.515 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in N 12.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))))) in N 12.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)))) in N 12.515 * [taylor]: Taking taylor expansion of 1/3 in N 12.515 * [backup-simplify]: Simplify 1/3 into 1/3 12.515 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 12.515 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 12.515 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 12.515 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.515 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.515 * [taylor]: Taking taylor expansion of N in N 12.515 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify 1 into 1 12.515 * [taylor]: Taking taylor expansion of -1/2 in N 12.515 * [backup-simplify]: Simplify -1/2 into -1/2 12.515 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 12.515 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 12.515 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 12.515 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.515 * [taylor]: Taking taylor expansion of N in N 12.515 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify 1 into 1 12.515 * [taylor]: Taking taylor expansion of 1/3 in N 12.515 * [backup-simplify]: Simplify 1/3 into 1/3 12.515 * [taylor]: Taking taylor expansion of N in N 12.515 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify 1 into 1 12.516 * [backup-simplify]: Simplify (+ 0 0) into 0 12.516 * [backup-simplify]: Simplify (+ 0 0) into 0 12.517 * [backup-simplify]: Simplify (+ 0 1) into 1 12.517 * [backup-simplify]: Simplify (+ 0 1) into 1 12.517 * [backup-simplify]: Simplify (log 1) into 0 12.518 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.518 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 12.518 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 12.518 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in N 12.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))))) in N 12.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)))) in N 12.518 * [taylor]: Taking taylor expansion of 1/3 in N 12.518 * [backup-simplify]: Simplify 1/3 into 1/3 12.518 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 12.518 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 12.518 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 12.518 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.518 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.518 * [taylor]: Taking taylor expansion of N in N 12.518 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify 1 into 1 12.518 * [taylor]: Taking taylor expansion of -1/2 in N 12.518 * [backup-simplify]: Simplify -1/2 into -1/2 12.518 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 12.518 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 12.518 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 12.519 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.519 * [taylor]: Taking taylor expansion of N in N 12.519 * [backup-simplify]: Simplify 0 into 0 12.519 * [backup-simplify]: Simplify 1 into 1 12.519 * [taylor]: Taking taylor expansion of 1/3 in N 12.519 * [backup-simplify]: Simplify 1/3 into 1/3 12.519 * [taylor]: Taking taylor expansion of N in N 12.519 * [backup-simplify]: Simplify 0 into 0 12.519 * [backup-simplify]: Simplify 1 into 1 12.519 * [backup-simplify]: Simplify (+ 0 0) into 0 12.519 * [backup-simplify]: Simplify (+ 0 0) into 0 12.520 * [backup-simplify]: Simplify (+ 0 1) into 1 12.520 * [backup-simplify]: Simplify (+ 0 1) into 1 12.521 * [backup-simplify]: Simplify (log 1) into 0 12.521 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.521 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 12.521 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 12.521 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 12.522 * [backup-simplify]: Simplify (* 1 1) into 1 12.522 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.523 * [backup-simplify]: Simplify (+ 0 0) into 0 12.523 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 12.525 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.525 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 12.526 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 12.526 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 12.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.528 * [backup-simplify]: Simplify (* 1 1) into 1 12.529 * [backup-simplify]: Simplify (* 1 1) into 1 12.529 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.529 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.530 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 12.539 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.540 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 12.542 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 12.542 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 12.543 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 12.543 * [backup-simplify]: Simplify (cbrt (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N)))))) into (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) 12.543 * [approximate]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in (N) around 0 12.543 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in N 12.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))))) in N 12.543 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))))) in N 12.543 * [taylor]: Taking taylor expansion of 1/3 in N 12.543 * [backup-simplify]: Simplify 1/3 into 1/3 12.543 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 12.543 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 12.544 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 12.544 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.544 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.544 * [taylor]: Taking taylor expansion of N in N 12.544 * [backup-simplify]: Simplify 0 into 0 12.544 * [backup-simplify]: Simplify 1 into 1 12.544 * [taylor]: Taking taylor expansion of -1/2 in N 12.544 * [backup-simplify]: Simplify -1/2 into -1/2 12.544 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 12.544 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 12.544 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 12.544 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 12.544 * [taylor]: Taking taylor expansion of -1 in N 12.544 * [backup-simplify]: Simplify -1 into -1 12.544 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.544 * [taylor]: Taking taylor expansion of N in N 12.544 * [backup-simplify]: Simplify 0 into 0 12.544 * [backup-simplify]: Simplify 1 into 1 12.544 * [taylor]: Taking taylor expansion of 1/3 in N 12.544 * [backup-simplify]: Simplify 1/3 into 1/3 12.544 * [taylor]: Taking taylor expansion of (* -1 N) in N 12.544 * [taylor]: Taking taylor expansion of -1 in N 12.544 * [backup-simplify]: Simplify -1 into -1 12.544 * [taylor]: Taking taylor expansion of N in N 12.544 * [backup-simplify]: Simplify 0 into 0 12.544 * [backup-simplify]: Simplify 1 into 1 12.545 * [backup-simplify]: Simplify (* -1 0) into 0 12.545 * [backup-simplify]: Simplify (+ 0 0) into 0 12.546 * [backup-simplify]: Simplify (+ 0 0) into 0 12.547 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 12.547 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.548 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.548 * [backup-simplify]: Simplify (log -1) into (log -1) 12.549 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.549 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 12.550 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.550 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in N 12.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))))) in N 12.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))))) in N 12.550 * [taylor]: Taking taylor expansion of 1/3 in N 12.550 * [backup-simplify]: Simplify 1/3 into 1/3 12.550 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 12.550 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 12.550 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 12.550 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.550 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.550 * [taylor]: Taking taylor expansion of N in N 12.550 * [backup-simplify]: Simplify 0 into 0 12.550 * [backup-simplify]: Simplify 1 into 1 12.550 * [taylor]: Taking taylor expansion of -1/2 in N 12.550 * [backup-simplify]: Simplify -1/2 into -1/2 12.550 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 12.551 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 12.551 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 12.551 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 12.551 * [taylor]: Taking taylor expansion of -1 in N 12.551 * [backup-simplify]: Simplify -1 into -1 12.551 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.551 * [taylor]: Taking taylor expansion of N in N 12.551 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify 1 into 1 12.551 * [taylor]: Taking taylor expansion of 1/3 in N 12.551 * [backup-simplify]: Simplify 1/3 into 1/3 12.551 * [taylor]: Taking taylor expansion of (* -1 N) in N 12.551 * [taylor]: Taking taylor expansion of -1 in N 12.551 * [backup-simplify]: Simplify -1 into -1 12.551 * [taylor]: Taking taylor expansion of N in N 12.551 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify 1 into 1 12.551 * [backup-simplify]: Simplify (* -1 0) into 0 12.552 * [backup-simplify]: Simplify (+ 0 0) into 0 12.552 * [backup-simplify]: Simplify (+ 0 0) into 0 12.553 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 12.553 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.554 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.554 * [backup-simplify]: Simplify (log -1) into (log -1) 12.555 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.555 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 12.555 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.556 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.556 * [backup-simplify]: Simplify (* 1 1) into 1 12.557 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.558 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 12.558 * [backup-simplify]: Simplify (+ 0 0) into 0 12.558 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 12.561 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.561 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 12.563 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 12.563 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 12.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.565 * [backup-simplify]: Simplify (* 1 1) into 1 12.565 * [backup-simplify]: Simplify (* 1 1) into 1 12.566 * [backup-simplify]: Simplify (* -1 1) into -1 12.566 * [backup-simplify]: Simplify (* -1 1/3) into -1/3 12.567 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.568 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 12.568 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 12.571 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 12.572 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.573 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 12.575 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 12.576 * [backup-simplify]: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 12.577 * [backup-simplify]: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 12.577 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 12.578 * [backup-simplify]: Simplify (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) into (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) 12.578 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in (N) around 0 12.578 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in N 12.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))))) in N 12.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))))) in N 12.578 * [taylor]: Taking taylor expansion of 1/3 in N 12.578 * [backup-simplify]: Simplify 1/3 into 1/3 12.578 * [taylor]: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 12.578 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 12.578 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 12.578 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 12.578 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.578 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.578 * [taylor]: Taking taylor expansion of N in N 12.578 * [backup-simplify]: Simplify 0 into 0 12.578 * [backup-simplify]: Simplify 1 into 1 12.579 * [backup-simplify]: Simplify (* 1 1) into 1 12.579 * [backup-simplify]: Simplify (/ 1 1) into 1 12.579 * [taylor]: Taking taylor expansion of -1/2 in N 12.579 * [backup-simplify]: Simplify -1/2 into -1/2 12.579 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 12.579 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 12.579 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 12.579 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.579 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.579 * [taylor]: Taking taylor expansion of N in N 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify 1 into 1 12.580 * [backup-simplify]: Simplify (* 1 1) into 1 12.580 * [backup-simplify]: Simplify (* 1 1) into 1 12.580 * [backup-simplify]: Simplify (/ 1 1) into 1 12.580 * [taylor]: Taking taylor expansion of 1/3 in N 12.580 * [backup-simplify]: Simplify 1/3 into 1/3 12.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.580 * [taylor]: Taking taylor expansion of N in N 12.580 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify 1 into 1 12.581 * [backup-simplify]: Simplify (/ 1 1) into 1 12.581 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.582 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.582 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.582 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 12.583 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.584 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 12.584 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.584 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in N 12.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))))) in N 12.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))))) in N 12.584 * [taylor]: Taking taylor expansion of 1/3 in N 12.584 * [backup-simplify]: Simplify 1/3 into 1/3 12.584 * [taylor]: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 12.585 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 12.585 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 12.585 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 12.585 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.585 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.585 * [taylor]: Taking taylor expansion of N in N 12.585 * [backup-simplify]: Simplify 0 into 0 12.585 * [backup-simplify]: Simplify 1 into 1 12.585 * [backup-simplify]: Simplify (* 1 1) into 1 12.586 * [backup-simplify]: Simplify (/ 1 1) into 1 12.586 * [taylor]: Taking taylor expansion of -1/2 in N 12.586 * [backup-simplify]: Simplify -1/2 into -1/2 12.586 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 12.586 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 12.586 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 12.586 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.586 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.586 * [taylor]: Taking taylor expansion of N in N 12.586 * [backup-simplify]: Simplify 0 into 0 12.586 * [backup-simplify]: Simplify 1 into 1 12.586 * [backup-simplify]: Simplify (* 1 1) into 1 12.587 * [backup-simplify]: Simplify (* 1 1) into 1 12.587 * [backup-simplify]: Simplify (/ 1 1) into 1 12.587 * [taylor]: Taking taylor expansion of 1/3 in N 12.587 * [backup-simplify]: Simplify 1/3 into 1/3 12.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.587 * [taylor]: Taking taylor expansion of N in N 12.587 * [backup-simplify]: Simplify 0 into 0 12.587 * [backup-simplify]: Simplify 1 into 1 12.588 * [backup-simplify]: Simplify (/ 1 1) into 1 12.588 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.588 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.589 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.589 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 12.590 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.590 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 12.591 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.592 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.592 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0 12.595 * [backup-simplify]: Simplify (+ 0 0) into 0 12.595 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 12.598 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.599 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 12.600 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.601 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 12.607 * [backup-simplify]: Simplify (+ 0 1) into 1 12.607 * [backup-simplify]: Simplify (+ 0 1) into 1 12.610 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 12.611 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.612 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 12.614 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.615 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.616 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 12.617 * [backup-simplify]: Simplify (cbrt (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N))))) into (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) 12.617 * [approximate]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in (N) around 0 12.617 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in N 12.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))))) in N 12.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)))) in N 12.617 * [taylor]: Taking taylor expansion of 1/3 in N 12.617 * [backup-simplify]: Simplify 1/3 into 1/3 12.617 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 12.617 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 12.617 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 12.617 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.617 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.617 * [taylor]: Taking taylor expansion of N in N 12.617 * [backup-simplify]: Simplify 0 into 0 12.617 * [backup-simplify]: Simplify 1 into 1 12.617 * [taylor]: Taking taylor expansion of -1/2 in N 12.617 * [backup-simplify]: Simplify -1/2 into -1/2 12.617 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 12.617 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 12.617 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 12.617 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.617 * [taylor]: Taking taylor expansion of N in N 12.617 * [backup-simplify]: Simplify 0 into 0 12.617 * [backup-simplify]: Simplify 1 into 1 12.617 * [taylor]: Taking taylor expansion of 1/3 in N 12.617 * [backup-simplify]: Simplify 1/3 into 1/3 12.617 * [taylor]: Taking taylor expansion of N in N 12.617 * [backup-simplify]: Simplify 0 into 0 12.617 * [backup-simplify]: Simplify 1 into 1 12.618 * [backup-simplify]: Simplify (+ 0 0) into 0 12.618 * [backup-simplify]: Simplify (+ 0 0) into 0 12.619 * [backup-simplify]: Simplify (+ 0 1) into 1 12.619 * [backup-simplify]: Simplify (+ 0 1) into 1 12.619 * [backup-simplify]: Simplify (log 1) into 0 12.620 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.620 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 12.620 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 12.620 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in N 12.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))))) in N 12.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)))) in N 12.620 * [taylor]: Taking taylor expansion of 1/3 in N 12.620 * [backup-simplify]: Simplify 1/3 into 1/3 12.620 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 12.620 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 12.620 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 12.620 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.620 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.620 * [taylor]: Taking taylor expansion of N in N 12.620 * [backup-simplify]: Simplify 0 into 0 12.620 * [backup-simplify]: Simplify 1 into 1 12.620 * [taylor]: Taking taylor expansion of -1/2 in N 12.620 * [backup-simplify]: Simplify -1/2 into -1/2 12.620 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 12.620 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 12.620 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 12.620 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.620 * [taylor]: Taking taylor expansion of N in N 12.620 * [backup-simplify]: Simplify 0 into 0 12.621 * [backup-simplify]: Simplify 1 into 1 12.621 * [taylor]: Taking taylor expansion of 1/3 in N 12.621 * [backup-simplify]: Simplify 1/3 into 1/3 12.621 * [taylor]: Taking taylor expansion of N in N 12.621 * [backup-simplify]: Simplify 0 into 0 12.621 * [backup-simplify]: Simplify 1 into 1 12.621 * [backup-simplify]: Simplify (+ 0 0) into 0 12.621 * [backup-simplify]: Simplify (+ 0 0) into 0 12.622 * [backup-simplify]: Simplify (+ 0 1) into 1 12.622 * [backup-simplify]: Simplify (+ 0 1) into 1 12.622 * [backup-simplify]: Simplify (log 1) into 0 12.623 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.623 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 12.623 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 12.623 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 12.624 * [backup-simplify]: Simplify (* 1 1) into 1 12.624 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.624 * [backup-simplify]: Simplify (+ 0 0) into 0 12.625 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.626 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 12.626 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.627 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 12.628 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 12.628 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 12.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.630 * [backup-simplify]: Simplify (* 1 1) into 1 12.630 * [backup-simplify]: Simplify (* 1 1) into 1 12.630 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.631 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.631 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 12.634 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.635 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 12.637 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 12.637 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 12.638 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 12.638 * [backup-simplify]: Simplify (cbrt (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N)))))) into (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) 12.638 * [approximate]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in (N) around 0 12.638 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in N 12.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))))) in N 12.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))))) in N 12.639 * [taylor]: Taking taylor expansion of 1/3 in N 12.639 * [backup-simplify]: Simplify 1/3 into 1/3 12.639 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 12.639 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 12.639 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 12.639 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.639 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.639 * [taylor]: Taking taylor expansion of N in N 12.639 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify 1 into 1 12.639 * [taylor]: Taking taylor expansion of -1/2 in N 12.639 * [backup-simplify]: Simplify -1/2 into -1/2 12.639 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 12.639 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 12.639 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 12.639 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 12.639 * [taylor]: Taking taylor expansion of -1 in N 12.639 * [backup-simplify]: Simplify -1 into -1 12.639 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.639 * [taylor]: Taking taylor expansion of N in N 12.639 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify 1 into 1 12.639 * [taylor]: Taking taylor expansion of 1/3 in N 12.639 * [backup-simplify]: Simplify 1/3 into 1/3 12.639 * [taylor]: Taking taylor expansion of (* -1 N) in N 12.639 * [taylor]: Taking taylor expansion of -1 in N 12.639 * [backup-simplify]: Simplify -1 into -1 12.639 * [taylor]: Taking taylor expansion of N in N 12.639 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify 1 into 1 12.640 * [backup-simplify]: Simplify (* -1 0) into 0 12.640 * [backup-simplify]: Simplify (+ 0 0) into 0 12.641 * [backup-simplify]: Simplify (+ 0 0) into 0 12.642 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 12.642 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.643 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.643 * [backup-simplify]: Simplify (log -1) into (log -1) 12.644 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.644 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 12.645 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.645 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in N 12.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))))) in N 12.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))))) in N 12.645 * [taylor]: Taking taylor expansion of 1/3 in N 12.645 * [backup-simplify]: Simplify 1/3 into 1/3 12.645 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 12.645 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 12.645 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 12.645 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.645 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.645 * [taylor]: Taking taylor expansion of N in N 12.645 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify 1 into 1 12.645 * [taylor]: Taking taylor expansion of -1/2 in N 12.645 * [backup-simplify]: Simplify -1/2 into -1/2 12.645 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 12.645 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 12.645 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 12.645 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 12.645 * [taylor]: Taking taylor expansion of -1 in N 12.645 * [backup-simplify]: Simplify -1 into -1 12.645 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.645 * [taylor]: Taking taylor expansion of N in N 12.645 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify 1 into 1 12.645 * [taylor]: Taking taylor expansion of 1/3 in N 12.645 * [backup-simplify]: Simplify 1/3 into 1/3 12.645 * [taylor]: Taking taylor expansion of (* -1 N) in N 12.645 * [taylor]: Taking taylor expansion of -1 in N 12.645 * [backup-simplify]: Simplify -1 into -1 12.645 * [taylor]: Taking taylor expansion of N in N 12.645 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify 1 into 1 12.646 * [backup-simplify]: Simplify (* -1 0) into 0 12.646 * [backup-simplify]: Simplify (+ 0 0) into 0 12.646 * [backup-simplify]: Simplify (+ 0 0) into 0 12.647 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 12.648 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.648 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.648 * [backup-simplify]: Simplify (log -1) into (log -1) 12.649 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.649 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 12.650 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.650 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.651 * [backup-simplify]: Simplify (* 1 1) into 1 12.651 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.652 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 12.653 * [backup-simplify]: Simplify (+ 0 0) into 0 12.653 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 12.655 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.656 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 12.657 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 12.658 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 12.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.659 * [backup-simplify]: Simplify (* 1 1) into 1 12.660 * [backup-simplify]: Simplify (* 1 1) into 1 12.660 * [backup-simplify]: Simplify (* -1 1) into -1 12.661 * [backup-simplify]: Simplify (* -1 1/3) into -1/3 12.662 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.662 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 12.662 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 12.665 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 12.666 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.667 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 12.669 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 12.670 * [backup-simplify]: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 12.672 * [backup-simplify]: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 12.672 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.672 * [backup-simplify]: Simplify (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) into (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) 12.672 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in (N) around 0 12.672 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in N 12.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))))) in N 12.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))))) in N 12.672 * [taylor]: Taking taylor expansion of 1/3 in N 12.672 * [backup-simplify]: Simplify 1/3 into 1/3 12.672 * [taylor]: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 12.672 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 12.672 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 12.672 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 12.673 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.673 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.673 * [taylor]: Taking taylor expansion of N in N 12.673 * [backup-simplify]: Simplify 0 into 0 12.673 * [backup-simplify]: Simplify 1 into 1 12.673 * [backup-simplify]: Simplify (* 1 1) into 1 12.673 * [backup-simplify]: Simplify (/ 1 1) into 1 12.673 * [taylor]: Taking taylor expansion of -1/2 in N 12.673 * [backup-simplify]: Simplify -1/2 into -1/2 12.673 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 12.674 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 12.674 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 12.674 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.674 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.674 * [taylor]: Taking taylor expansion of N in N 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify 1 into 1 12.674 * [backup-simplify]: Simplify (* 1 1) into 1 12.674 * [backup-simplify]: Simplify (* 1 1) into 1 12.675 * [backup-simplify]: Simplify (/ 1 1) into 1 12.675 * [taylor]: Taking taylor expansion of 1/3 in N 12.675 * [backup-simplify]: Simplify 1/3 into 1/3 12.675 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.675 * [taylor]: Taking taylor expansion of N in N 12.675 * [backup-simplify]: Simplify 0 into 0 12.675 * [backup-simplify]: Simplify 1 into 1 12.675 * [backup-simplify]: Simplify (/ 1 1) into 1 12.676 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.676 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.676 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.677 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 12.682 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.683 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 12.683 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.683 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 1/3) in N 12.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))))) in N 12.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))))) in N 12.683 * [taylor]: Taking taylor expansion of 1/3 in N 12.684 * [backup-simplify]: Simplify 1/3 into 1/3 12.684 * [taylor]: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)))) in N 12.684 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) in N 12.684 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))) 12.684 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 12.684 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.684 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.684 * [taylor]: Taking taylor expansion of N in N 12.684 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify 1 into 1 12.684 * [backup-simplify]: Simplify (* 1 1) into 1 12.685 * [backup-simplify]: Simplify (/ 1 1) into 1 12.685 * [taylor]: Taking taylor expansion of -1/2 in N 12.685 * [backup-simplify]: Simplify -1/2 into -1/2 12.685 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N 12.685 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N)) 12.685 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N 12.685 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.685 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.685 * [taylor]: Taking taylor expansion of N in N 12.685 * [backup-simplify]: Simplify 0 into 0 12.685 * [backup-simplify]: Simplify 1 into 1 12.685 * [backup-simplify]: Simplify (* 1 1) into 1 12.686 * [backup-simplify]: Simplify (* 1 1) into 1 12.686 * [backup-simplify]: Simplify (/ 1 1) into 1 12.686 * [taylor]: Taking taylor expansion of 1/3 in N 12.686 * [backup-simplify]: Simplify 1/3 into 1/3 12.686 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.686 * [taylor]: Taking taylor expansion of N in N 12.686 * [backup-simplify]: Simplify 0 into 0 12.686 * [backup-simplify]: Simplify 1 into 1 12.687 * [backup-simplify]: Simplify (/ 1 1) into 1 12.687 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.688 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.688 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.689 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 12.689 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.690 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 12.690 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.691 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 12.691 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0 12.695 * [backup-simplify]: Simplify (+ 0 0) into 0 12.695 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 12.698 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.699 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 12.700 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.701 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 12.707 * [backup-simplify]: Simplify (+ 0 1) into 1 12.707 * [backup-simplify]: Simplify (+ 0 1) into 1 12.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 12.711 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.713 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 12.714 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.715 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 12.716 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 12.717 * [backup-simplify]: Simplify (sqrt (* (cbrt (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N))))) (cbrt (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) -1/2 (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N))))))) into (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) 12.717 * [approximate]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in (N) around 0 12.717 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in N 12.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))))) in N 12.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)))) in N 12.717 * [taylor]: Taking taylor expansion of 1/3 in N 12.717 * [backup-simplify]: Simplify 1/3 into 1/3 12.717 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 12.717 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 12.718 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 12.718 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.718 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.718 * [taylor]: Taking taylor expansion of N in N 12.718 * [backup-simplify]: Simplify 0 into 0 12.718 * [backup-simplify]: Simplify 1 into 1 12.718 * [taylor]: Taking taylor expansion of -1/2 in N 12.718 * [backup-simplify]: Simplify -1/2 into -1/2 12.718 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 12.718 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 12.718 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 12.718 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.718 * [taylor]: Taking taylor expansion of N in N 12.718 * [backup-simplify]: Simplify 0 into 0 12.718 * [backup-simplify]: Simplify 1 into 1 12.718 * [taylor]: Taking taylor expansion of 1/3 in N 12.718 * [backup-simplify]: Simplify 1/3 into 1/3 12.718 * [taylor]: Taking taylor expansion of N in N 12.718 * [backup-simplify]: Simplify 0 into 0 12.718 * [backup-simplify]: Simplify 1 into 1 12.719 * [backup-simplify]: Simplify (+ 0 0) into 0 12.719 * [backup-simplify]: Simplify (+ 0 0) into 0 12.719 * [backup-simplify]: Simplify (+ 0 1) into 1 12.720 * [backup-simplify]: Simplify (+ 0 1) into 1 12.720 * [backup-simplify]: Simplify (log 1) into 0 12.721 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.721 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 12.721 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 12.721 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) 1/3) in N 12.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))))) in N 12.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)))) in N 12.721 * [taylor]: Taking taylor expansion of 1/3 in N 12.721 * [backup-simplify]: Simplify 1/3 into 1/3 12.721 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N))) in N 12.721 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (pow N 3) 1/3 N)) in N 12.721 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (pow N 3) 1/3 N)) 12.721 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.721 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.721 * [taylor]: Taking taylor expansion of N in N 12.721 * [backup-simplify]: Simplify 0 into 0 12.721 * [backup-simplify]: Simplify 1 into 1 12.721 * [taylor]: Taking taylor expansion of -1/2 in N 12.721 * [backup-simplify]: Simplify -1/2 into -1/2 12.721 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N 12.721 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N) 12.721 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N 12.721 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.721 * [taylor]: Taking taylor expansion of N in N 12.721 * [backup-simplify]: Simplify 0 into 0 12.721 * [backup-simplify]: Simplify 1 into 1 12.721 * [taylor]: Taking taylor expansion of 1/3 in N 12.721 * [backup-simplify]: Simplify 1/3 into 1/3 12.721 * [taylor]: Taking taylor expansion of N in N 12.722 * [backup-simplify]: Simplify 0 into 0 12.722 * [backup-simplify]: Simplify 1 into 1 12.722 * [backup-simplify]: Simplify (+ 0 0) into 0 12.722 * [backup-simplify]: Simplify (+ 0 0) into 0 12.723 * [backup-simplify]: Simplify (+ 0 1) into 1 12.723 * [backup-simplify]: Simplify (+ 0 1) into 1 12.723 * [backup-simplify]: Simplify (log 1) into 0 12.724 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.724 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 12.724 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 12.724 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 12.724 * [backup-simplify]: Simplify (* 1 1) into 1 12.725 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.725 * [backup-simplify]: Simplify (+ 0 0) into 0 12.726 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 12.727 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.728 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 12.729 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 12.729 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 12.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.731 * [backup-simplify]: Simplify (* 1 1) into 1 12.731 * [backup-simplify]: Simplify (* 1 1) into 1 12.731 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 12.732 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.732 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.735 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 12.735 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.736 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 12.738 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 12.738 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 12.738 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 12.739 * [backup-simplify]: Simplify (sqrt (* (cbrt (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N)))))) (cbrt (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) -1/2 (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N)))))))) into (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) 12.739 * [approximate]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in (N) around 0 12.739 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in N 12.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))))) in N 12.739 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))))) in N 12.739 * [taylor]: Taking taylor expansion of 1/3 in N 12.740 * [backup-simplify]: Simplify 1/3 into 1/3 12.740 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 12.740 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 12.740 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 12.740 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.740 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.740 * [taylor]: Taking taylor expansion of N in N 12.740 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify 1 into 1 12.740 * [taylor]: Taking taylor expansion of -1/2 in N 12.740 * [backup-simplify]: Simplify -1/2 into -1/2 12.740 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 12.740 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 12.740 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 12.740 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 12.740 * [taylor]: Taking taylor expansion of -1 in N 12.740 * [backup-simplify]: Simplify -1 into -1 12.740 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.740 * [taylor]: Taking taylor expansion of N in N 12.740 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify 1 into 1 12.740 * [taylor]: Taking taylor expansion of 1/3 in N 12.740 * [backup-simplify]: Simplify 1/3 into 1/3 12.740 * [taylor]: Taking taylor expansion of (* -1 N) in N 12.740 * [taylor]: Taking taylor expansion of -1 in N 12.740 * [backup-simplify]: Simplify -1 into -1 12.740 * [taylor]: Taking taylor expansion of N in N 12.740 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify 1 into 1 12.741 * [backup-simplify]: Simplify (* -1 0) into 0 12.741 * [backup-simplify]: Simplify (+ 0 0) into 0 12.741 * [backup-simplify]: Simplify (+ 0 0) into 0 12.742 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 12.742 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.743 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.743 * [backup-simplify]: Simplify (log -1) into (log -1) 12.744 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.745 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 12.745 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.745 * [taylor]: Taking taylor expansion of (pow (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 1/3) in N 12.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))))) in N 12.745 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))))) in N 12.745 * [taylor]: Taking taylor expansion of 1/3 in N 12.745 * [backup-simplify]: Simplify 1/3 into 1/3 12.745 * [taylor]: Taking taylor expansion of (log (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N)))) in N 12.745 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (fma (* -1 (pow N 3)) 1/3 (* -1 N))) in N 12.745 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (fma (* -1 (pow N 3)) 1/3 (* -1 N))) 12.745 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 12.745 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.745 * [taylor]: Taking taylor expansion of N in N 12.745 * [backup-simplify]: Simplify 0 into 0 12.745 * [backup-simplify]: Simplify 1 into 1 12.745 * [taylor]: Taking taylor expansion of -1/2 in N 12.745 * [backup-simplify]: Simplify -1/2 into -1/2 12.745 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N 12.746 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N)) 12.746 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N 12.746 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 12.746 * [taylor]: Taking taylor expansion of -1 in N 12.746 * [backup-simplify]: Simplify -1 into -1 12.746 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.746 * [taylor]: Taking taylor expansion of N in N 12.746 * [backup-simplify]: Simplify 0 into 0 12.746 * [backup-simplify]: Simplify 1 into 1 12.746 * [taylor]: Taking taylor expansion of 1/3 in N 12.746 * [backup-simplify]: Simplify 1/3 into 1/3 12.746 * [taylor]: Taking taylor expansion of (* -1 N) in N 12.746 * [taylor]: Taking taylor expansion of -1 in N 12.746 * [backup-simplify]: Simplify -1 into -1 12.746 * [taylor]: Taking taylor expansion of N in N 12.746 * [backup-simplify]: Simplify 0 into 0 12.746 * [backup-simplify]: Simplify 1 into 1 12.746 * [backup-simplify]: Simplify (* -1 0) into 0 12.747 * [backup-simplify]: Simplify (+ 0 0) into 0 12.747 * [backup-simplify]: Simplify (+ 0 0) into 0 12.748 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 12.748 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.748 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.749 * [backup-simplify]: Simplify (log -1) into (log -1) 12.750 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.750 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 12.750 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.751 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 12.751 * [backup-simplify]: Simplify (* 1 1) into 1 12.752 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 12.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 12.753 * [backup-simplify]: Simplify (+ 0 0) into 0 12.753 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 12.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 12.755 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.756 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 12.757 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 12.758 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 12.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 12.759 * [backup-simplify]: Simplify (* 1 1) into 1 12.760 * [backup-simplify]: Simplify (* 1 1) into 1 12.760 * [backup-simplify]: Simplify (* -1 1) into -1 12.760 * [backup-simplify]: Simplify (* -1 1/3) into -1/3 12.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.762 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 12.762 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 12.765 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 12.766 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.767 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 12.768 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 12.769 * [backup-simplify]: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 12.771 * [backup-simplify]: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 12.771 * * * [progress]: simplifying candidates 12.771 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 12.771 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 12.771 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 12.771 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 12.771 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 12.771 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 12.771 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 12.771 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 12.771 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 12.771 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #real (real->posit16 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> 12.772 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 16 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 12.772 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #real (real->posit16 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> 12.773 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 32 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 12.773 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #real (real->posit16 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> 12.774 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 48 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 12.774 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 12.775 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> 12.776 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 12.776 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 12.776 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 12.776 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 12.776 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 12.776 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 12.776 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 12.776 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 12.776 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 12.776 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 12.776 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 12.776 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 12.778 * [simplify]: Simplifying: (expm1 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (log1p (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (log (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (exp (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt 1) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (* (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (real->posit16 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (expm1 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (log1p (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (log (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (exp (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt 1) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (* (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (real->posit16 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (expm1 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (log1p (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (log (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (exp (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt 1) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (* (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (* (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (real->posit16 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (expm1 (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))) (log1p (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))) (log (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))) (exp (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))) (* (cbrt (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))) (cbrt (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))))) (cbrt (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))) (* (* (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))))) (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))) (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (/ (+ 1/3 1/3) 2) (/ (+ 1 1) 2) (/ 1/3 2) (/ 1 2) (/ 2 2) (/ (+ 1 1) 2) (/ 1 2) (/ (* 2 1/3) 2) (/ (* 2 1) 2) (sqrt (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))) (sqrt (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))) (real->posit16 (sqrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 12.781 * * [simplify]: iteration 1: (92 enodes) 12.828 * * [simplify]: iteration 2: (177 enodes) 12.893 * * [simplify]: iteration 3: (399 enodes) 13.069 * * [simplify]: iteration 4: (954 enodes) 13.899 * * [simplify]: Extracting #0: cost 28 inf + 0 13.900 * * [simplify]: Extracting #1: cost 125 inf + 4 13.901 * * [simplify]: Extracting #2: cost 419 inf + 1251 13.907 * * [simplify]: Extracting #3: cost 464 inf + 9651 13.925 * * [simplify]: Extracting #4: cost 309 inf + 53619 13.960 * * [simplify]: Extracting #5: cost 153 inf + 112412 13.984 * * [simplify]: Extracting #6: cost 98 inf + 136243 14.038 * * [simplify]: Extracting #7: cost 21 inf + 183772 14.078 * * [simplify]: Extracting #8: cost 2 inf + 196214 14.139 * * [simplify]: Extracting #9: cost 0 inf + 197895 14.177 * [simplify]: Simplified to: (expm1 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (log1p (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (log (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (exp (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) 1 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))) (* (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (real->posit16 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (expm1 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (log1p (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (log (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (exp (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) 1 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))) (* (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (real->posit16 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (expm1 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (log1p (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (log (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (exp (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) 1 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))) (* (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (cbrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (real->posit16 (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (expm1 (fabs (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (log1p (fabs (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (log (fabs (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (exp (fabs (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (* (cbrt (fabs (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (cbrt (fabs (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))))) (cbrt (fabs (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (* (fabs (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (* (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N))))) 1/3 1 1/6 1/2 1 1 1/2 1/3 1 (sqrt (fabs (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (sqrt (fabs (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (real->posit16 (fabs (cbrt (fma (/ (/ 1 N) N) -1/2 (fma (/ (/ (/ 1 N) N) N) 1/3 (/ 1 N)))))) (fma (exp (fma (log 1/3) 1/3 (- (log N)))) (* N (- (* N 3/4) 1/2)) (exp (fma (log 1/3) 1/3 (- (log N))))) (fma (cbrt (/ 1 (* (* N N) (* N N)))) -1/6 (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N)))) (fma (/ 1/12 N) (/ (cbrt (* -1 (/ -1 N))) N) (fma (/ (cbrt (* -1 (/ -1 N))) N) -1/6 (cbrt (* -1 (/ -1 N))))) (fma (exp (fma (log 1/3) 1/3 (- (log N)))) (* N (- (* N 3/4) 1/2)) (exp (fma (log 1/3) 1/3 (- (log N))))) (fma (cbrt (/ 1 (* (* N N) (* N N)))) -1/6 (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N)))) (fma (/ 1/12 N) (/ (cbrt (* -1 (/ -1 N))) N) (fma (/ (cbrt (* -1 (/ -1 N))) N) -1/6 (cbrt (* -1 (/ -1 N))))) (fma (exp (fma (log 1/3) 1/3 (- (log N)))) (* N (- (* N 3/4) 1/2)) (exp (fma (log 1/3) 1/3 (- (log N))))) (fma (cbrt (/ 1 (* (* N N) (* N N)))) -1/6 (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N)))) (fma (/ 1/12 N) (/ (cbrt (* -1 (/ -1 N))) N) (fma (/ (cbrt (* -1 (/ -1 N))) N) -1/6 (cbrt (* -1 (/ -1 N))))) (fma (exp (fma (log 1/3) 1/3 (- (log N)))) (* N (- (* N 3/4) 1/2)) (exp (fma (log 1/3) 1/3 (- (log N))))) (fma (cbrt (/ 1 (* (* N N) (* N N)))) -1/6 (fma 1/12 (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 N)))) (fma (/ 1/12 N) (/ (cbrt (* -1 (/ -1 N))) N) (fma (/ (cbrt (* -1 (/ -1 N))) N) -1/6 (cbrt (* -1 (/ -1 N))))) 14.188 * * * [progress]: adding candidates to table 15.186 * [progress]: [Phase 3 of 3] Extracting. 15.186 * * [regime]: Finding splitpoints for: (# # # # #) 15.188 * * * [regime-changes]: Trying 1 branch expressions: (N) 15.188 * * * * [regimes]: Trying to branch on N from (# # # # #) 15.224 * * * [regime]: Found split indices: #