0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.091 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.094 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.094 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.094 * * [simplify]: iteration 1: (6 enodes) 0.096 * * [simplify]: iteration 2: (23 enodes) 0.101 * * [simplify]: iteration 3: (29 enodes) 0.105 * * [simplify]: Extracting #0: cost 1 inf + 0 0.105 * * [simplify]: Extracting #1: cost 5 inf + 0 0.105 * * [simplify]: Extracting #2: cost 10 inf + 0 0.105 * * [simplify]: Extracting #3: cost 11 inf + 1 0.105 * * [simplify]: Extracting #4: cost 2 inf + 762 0.105 * * [simplify]: Extracting #5: cost 0 inf + 1034 0.106 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.111 * * [progress]: iteration 1 / 4 0.111 * * * [progress]: picking best candidate 0.113 * * * * [pick]: Picked # 0.113 * * * [progress]: localizing error 0.124 * * * [progress]: generating rewritten candidates 0.125 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.138 * * * [progress]: generating series expansions 0.139 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.139 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.139 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.139 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.139 * [taylor]: Taking taylor expansion of (log1p N) in N 0.141 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.141 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.141 * [taylor]: Taking taylor expansion of 1 in N 0.141 * [backup-simplify]: Simplify 1 into 1 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 (+ 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 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.143 * [taylor]: Taking taylor expansion of (log1p N) in N 0.143 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.143 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of 1 in N 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (log 1) into 0 0.144 * [taylor]: Taking taylor expansion of (log N) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.145 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.145 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.145 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.146 * [backup-simplify]: Simplify (+ 0 1) into 1 0.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.149 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.158 * [backup-simplify]: Simplify -1/2 into -1/2 0.159 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.159 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.159 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.159 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.159 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.159 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.159 * [taylor]: Taking taylor expansion of 1 in N 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (+ 0 1) into 1 0.181 * [backup-simplify]: Simplify (log 1) into 0 0.181 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 (log 1) into 0 0.182 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.182 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.182 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.182 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.182 * [taylor]: Taking taylor expansion of 1 in N 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [backup-simplify]: Simplify (+ 0 1) into 1 0.183 * [backup-simplify]: Simplify (log 1) into 0 0.184 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [backup-simplify]: Simplify (log 1) into 0 0.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.185 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.186 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.189 * [backup-simplify]: Simplify (- (+ (* 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 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.199 * [backup-simplify]: Simplify -1/2 into -1/2 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [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 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [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 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.206 * [backup-simplify]: Simplify 1/3 into 1/3 0.206 * [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)))) 0.206 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.206 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.206 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.206 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.206 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.206 * [taylor]: Taking taylor expansion of 1 in N 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.206 * [taylor]: Taking taylor expansion of -1 in N 0.206 * [backup-simplify]: Simplify -1 into -1 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ -1 1) into -1 0.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.207 * [backup-simplify]: Simplify (log -1) into (log -1) 0.207 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.207 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.207 * [taylor]: Taking taylor expansion of -1 in N 0.207 * [backup-simplify]: Simplify -1 into -1 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ -1 1) into -1 0.208 * [backup-simplify]: Simplify (log -1) into (log -1) 0.208 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.208 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.208 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.208 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.208 * [taylor]: Taking taylor expansion of 1 in N 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.208 * [taylor]: Taking taylor expansion of -1 in N 0.208 * [backup-simplify]: Simplify -1 into -1 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ -1 1) into -1 0.209 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.209 * [backup-simplify]: Simplify (log -1) into (log -1) 0.209 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.209 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.209 * [taylor]: Taking taylor expansion of -1 in N 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ -1 1) into -1 0.210 * [backup-simplify]: Simplify (log -1) into (log -1) 0.210 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.211 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.211 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.212 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ -1 0) into -1 0.215 * [backup-simplify]: Simplify -1 into -1 0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.220 * [backup-simplify]: Simplify -1/2 into -1/2 0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [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 0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [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 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.229 * [backup-simplify]: Simplify -1/3 into -1/3 0.229 * [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)))) 0.229 * * * [progress]: simplifying candidates 0.230 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.231 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.232 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.233 * [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)))) 0.234 * * [simplify]: iteration 1: (83 enodes) 0.261 * * [simplify]: iteration 2: (334 enodes) 0.371 * * [simplify]: iteration 3: (561 enodes) 0.540 * * [simplify]: iteration 4: (1169 enodes) 1.551 * * [simplify]: Extracting #0: cost 24 inf + 0 1.552 * * [simplify]: Extracting #1: cost 196 inf + 1 1.556 * * [simplify]: Extracting #2: cost 551 inf + 3214 1.576 * * [simplify]: Extracting #3: cost 381 inf + 59906 1.614 * * [simplify]: Extracting #4: cost 105 inf + 154595 1.651 * * [simplify]: Extracting #5: cost 7 inf + 197350 1.702 * * [simplify]: Extracting #6: cost 0 inf + 199580 1.731 * [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) (+ (/ 1/3 N) -1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)) 1.733 * * * [progress]: adding candidates to table 1.993 * * [progress]: iteration 2 / 4 1.993 * * * [progress]: picking best candidate 1.999 * * * * [pick]: Picked # 1.999 * * * [progress]: localizing error 2.018 * * * [progress]: generating rewritten candidates 2.018 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 2.022 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.031 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.033 * * * [progress]: generating series expansions 2.033 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 2.033 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 2.033 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 2.034 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 2.034 * [taylor]: Taking taylor expansion of 1/3 in N 2.034 * [backup-simplify]: Simplify 1/3 into 1/3 2.034 * [taylor]: Taking taylor expansion of N in N 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.034 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 2.034 * [taylor]: Taking taylor expansion of 1/3 in N 2.034 * [backup-simplify]: Simplify 1/3 into 1/3 2.034 * [taylor]: Taking taylor expansion of N in N 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.035 * [backup-simplify]: Simplify 1/3 into 1/3 2.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 2.039 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 2.039 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 2.039 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.039 * [taylor]: Taking taylor expansion of 1/3 in N 2.039 * [backup-simplify]: Simplify 1/3 into 1/3 2.039 * [taylor]: Taking taylor expansion of N in N 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.039 * [taylor]: Taking taylor expansion of 1/3 in N 2.039 * [backup-simplify]: Simplify 1/3 into 1/3 2.039 * [taylor]: Taking taylor expansion of N in N 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.039 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.040 * [backup-simplify]: Simplify 1/3 into 1/3 2.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 2.045 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 2.045 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 2.045 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 2.045 * [taylor]: Taking taylor expansion of -1/3 in N 2.045 * [backup-simplify]: Simplify -1/3 into -1/3 2.045 * [taylor]: Taking taylor expansion of N in N 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 2.045 * [taylor]: Taking taylor expansion of -1/3 in N 2.045 * [backup-simplify]: Simplify -1/3 into -1/3 2.045 * [taylor]: Taking taylor expansion of N in N 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (* -1/3 0) into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 2.046 * [backup-simplify]: Simplify -1/3 into -1/3 2.047 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 2.052 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.052 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 2.052 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.052 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.052 * [taylor]: Taking taylor expansion of N in N 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (* 1 1) into 1 2.053 * [backup-simplify]: Simplify (/ 1 1) into 1 2.053 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.053 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.053 * [taylor]: Taking taylor expansion of N in N 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (* 1 1) into 1 2.054 * [backup-simplify]: Simplify (/ 1 1) into 1 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.066 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 2.066 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.066 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.066 * [taylor]: Taking taylor expansion of N in N 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.067 * [taylor]: Taking taylor expansion of N in N 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (* 1 1) into 1 2.067 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.075 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 2.075 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.075 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.075 * [taylor]: Taking taylor expansion of N in N 2.075 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.076 * [taylor]: Taking taylor expansion of N in N 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* 1 1) into 1 2.076 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.088 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 2.090 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.090 * [backup-simplify]: Simplify (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)) into (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 2.090 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in (N) around 0 2.090 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 2.090 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 2.090 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.090 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.090 * [taylor]: Taking taylor expansion of N in N 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (* 1 1) into 1 2.091 * [backup-simplify]: Simplify (/ 1 1) into 1 2.091 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 2.092 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 2.092 * [taylor]: Taking taylor expansion of 1/3 in N 2.092 * [backup-simplify]: Simplify 1/3 into 1/3 2.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.092 * [taylor]: Taking taylor expansion of N in N 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (/ 1 1) into 1 2.092 * [taylor]: Taking taylor expansion of 1/2 in N 2.092 * [backup-simplify]: Simplify 1/2 into 1/2 2.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.092 * [taylor]: Taking taylor expansion of N in N 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 2.093 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 2.093 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.093 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.093 * [taylor]: Taking taylor expansion of N in N 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (* 1 1) into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 2.094 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 2.094 * [taylor]: Taking taylor expansion of 1/3 in N 2.094 * [backup-simplify]: Simplify 1/3 into 1/3 2.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.094 * [taylor]: Taking taylor expansion of N in N 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [taylor]: Taking taylor expansion of 1/2 in N 2.094 * [backup-simplify]: Simplify 1/2 into 1/2 2.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.094 * [taylor]: Taking taylor expansion of N in N 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (/ 1 1) into 1 2.095 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.096 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.096 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 2.096 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.096 * [backup-simplify]: Simplify 1/3 into 1/3 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.098 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.099 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 2.101 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.101 * [backup-simplify]: Simplify -1/2 into -1/2 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.104 * [backup-simplify]: Simplify (- 0) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 2.107 * [backup-simplify]: Simplify (+ 0 1) into 1 2.107 * [backup-simplify]: Simplify 1 into 1 2.108 * [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)))) 2.108 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) (+ (/ 1/3 (/ 1 N)) -1/2) (/ 1 (/ 1 N))) into (fma (pow N 2) (- (* 1/3 N) 1/2) N) 2.108 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in (N) around 0 2.108 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 2.108 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 2.108 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 2.108 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.108 * [taylor]: Taking taylor expansion of N in N 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 2.108 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.108 * [taylor]: Taking taylor expansion of 1/3 in N 2.108 * [backup-simplify]: Simplify 1/3 into 1/3 2.108 * [taylor]: Taking taylor expansion of N in N 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of 1/2 in N 2.108 * [backup-simplify]: Simplify 1/2 into 1/2 2.108 * [taylor]: Taking taylor expansion of N in N 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.109 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 2.109 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 2.109 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 2.109 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.109 * [taylor]: Taking taylor expansion of N in N 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 2.109 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.109 * [taylor]: Taking taylor expansion of 1/3 in N 2.109 * [backup-simplify]: Simplify 1/3 into 1/3 2.109 * [taylor]: Taking taylor expansion of N in N 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [taylor]: Taking taylor expansion of 1/2 in N 2.109 * [backup-simplify]: Simplify 1/2 into 1/2 2.109 * [taylor]: Taking taylor expansion of N in N 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify (+ 0 1) into 1 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.111 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.111 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.112 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.112 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 2.112 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.112 * [backup-simplify]: Simplify -1/2 into -1/2 2.113 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.113 * [backup-simplify]: Simplify (- 0) into 0 2.114 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 2.116 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.116 * [backup-simplify]: Simplify 1/3 into 1/3 2.116 * [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)))) 2.116 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (+ (/ 1/3 (/ 1 (- N))) -1/2) (/ 1 (/ 1 (- N)))) into (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 2.117 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in (N) around 0 2.117 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 2.117 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 2.117 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 2.117 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.117 * [taylor]: Taking taylor expansion of N in N 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 2.117 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 2.117 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.117 * [taylor]: Taking taylor expansion of 1/3 in N 2.117 * [backup-simplify]: Simplify 1/3 into 1/3 2.117 * [taylor]: Taking taylor expansion of N in N 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [taylor]: Taking taylor expansion of 1/2 in N 2.117 * [backup-simplify]: Simplify 1/2 into 1/2 2.117 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.117 * [taylor]: Taking taylor expansion of -1 in N 2.117 * [backup-simplify]: Simplify -1 into -1 2.117 * [taylor]: Taking taylor expansion of N in N 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 2.117 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 2.117 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 2.117 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.117 * [taylor]: Taking taylor expansion of N in N 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 2.117 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 2.117 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.117 * [taylor]: Taking taylor expansion of 1/3 in N 2.117 * [backup-simplify]: Simplify 1/3 into 1/3 2.117 * [taylor]: Taking taylor expansion of N in N 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [taylor]: Taking taylor expansion of 1/2 in N 2.118 * [backup-simplify]: Simplify 1/2 into 1/2 2.118 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.118 * [taylor]: Taking taylor expansion of -1 in N 2.118 * [backup-simplify]: Simplify -1 into -1 2.118 * [taylor]: Taking taylor expansion of N in N 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (* -1 0) into 0 2.119 * [backup-simplify]: Simplify (+ 0 0) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.120 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.120 * [backup-simplify]: Simplify -1 into -1 2.120 * [backup-simplify]: Simplify (* 1 1) into 1 2.121 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.121 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.121 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.122 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 2.123 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.123 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.123 * [backup-simplify]: Simplify -1/2 into -1/2 2.124 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.124 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.124 * [backup-simplify]: Simplify (- 1/3) into -1/3 2.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.125 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.125 * [backup-simplify]: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 2.126 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.127 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 2.127 * [backup-simplify]: Simplify -1/3 into -1/3 2.127 * [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)))) 2.127 * * * [progress]: simplifying candidates 2.127 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 2.127 * * * * [progress]: [ 2 / 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* * * * [progress]: [ 33 / 127 ] simplifiying candidate # 2.128 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 2.128 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 2.128 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 2.129 * * * * [progress]: [ 48 / 127 ] 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candidate # 2.132 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))))> 2.132 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 2.132 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 2.133 * [simplify]: Simplifying: (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (- (log 1/3) (log N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (expm1 (/ (/ 1 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 (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (log1p (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (* (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2)) (log (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (exp (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (* (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (* (* (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (real->posit16 (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (pow N 2)) (/ 1 (pow N 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)))) 2.135 * * [simplify]: iteration 1: (205 enodes) 2.246 * * [simplify]: iteration 2: (739 enodes) 2.457 * * [simplify]: iteration 3: (1329 enodes) 3.065 * * [simplify]: Extracting #0: cost 79 inf + 0 3.066 * * [simplify]: Extracting #1: cost 294 inf + 4 3.068 * * [simplify]: Extracting #2: cost 467 inf + 4075 3.076 * * [simplify]: Extracting #3: cost 268 inf + 38372 3.103 * * [simplify]: Extracting #4: cost 39 inf + 95449 3.126 * * [simplify]: Extracting #5: cost 3 inf + 101877 3.168 * * [simplify]: Extracting #6: cost 0 inf + 103116 3.201 * [simplify]: Simplified to: (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (* (/ 1/3 N) (* (/ 1/3 N) (/ 1/3 N))) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (/ 1/3 N) (* (/ 1/3 N) (/ 1/3 N))) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (* (cbrt 1/3) (/ (cbrt 1/3) (sqrt N))) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) -2 -2 (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (exp (/ 1 (* N N))) (* (/ 1 (* N N)) (* (/ 1 (* N N)) (/ 1 (* N N)))) (* (/ 1 (* N N)) (* (/ 1 (* N N)) (/ 1 (* N N)))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (* (/ 1 (* N N)) (* (/ 1 (* N N)) (/ 1 (* N N)))) (sqrt (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (/ -1 N) (- N) (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (/ (sqrt N) (cbrt (/ 1 N)))) (/ (cbrt (/ 1 N)) (sqrt N)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (/ (cbrt (/ 1 N)) N) (/ (/ (sqrt (/ 1 N)) (cbrt N)) (cbrt N)) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 1 N)) (/ (sqrt (/ 1 N)) N) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (* (sqrt N) (cbrt N))) (/ 1 (* (sqrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (cbrt N)) (* (sqrt N) (cbrt N))) (/ 1 (* (sqrt N) (cbrt N))) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (* (sqrt N) (cbrt N))) (/ 1 (* (sqrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (cbrt N)) (* (sqrt N) (cbrt N))) (/ 1 (* (sqrt N) (cbrt N))) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (* (sqrt N) (cbrt N))) (/ 1 (* (sqrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (cbrt N)) (* (sqrt N) (cbrt N))) (/ 1 (* (sqrt N) (cbrt N))) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ 1 (* N N)) (/ 1 N) (* N N) (/ (/ 1 (cbrt N)) (* N (cbrt N))) (/ (/ 1 N) (sqrt 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) (/ (/ (+ (/ 1/3 N) -1/2) N) N))) (log1p (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N))) (/ (/ (+ (/ 1/3 N) -1/2) N) N) (log (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N))) (exp (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N))) (* (cbrt (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N))) (cbrt (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N)))) (cbrt (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N))) (* (* (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N)) (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N))) (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N))) (sqrt (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N))) (sqrt (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N))) (real->posit16 (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N))) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N)) (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N)) (+ (/ 1 N) (/ (/ (+ (/ 1/3 N) -1/2) N) N)) 3.210 * * * [progress]: adding candidates to table 4.268 * * [progress]: iteration 3 / 4 4.268 * * * [progress]: picking best candidate 4.274 * * * * [pick]: Picked # 4.275 * * * [progress]: localizing error 4.303 * * * [progress]: generating rewritten candidates 4.303 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.305 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.308 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 4.315 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 4.324 * * * [progress]: generating series expansions 4.324 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.325 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) into (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) 4.325 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in (N) around 0 4.325 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 4.325 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 4.325 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 4.325 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 4.325 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.325 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.325 * [taylor]: Taking taylor expansion of N in N 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.326 * [backup-simplify]: Simplify (* 1 1) into 1 4.326 * [backup-simplify]: Simplify (/ 1 1) into 1 4.326 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 4.326 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 4.326 * [taylor]: Taking taylor expansion of 1/3 in N 4.326 * [backup-simplify]: Simplify 1/3 into 1/3 4.326 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.326 * [taylor]: Taking taylor expansion of N in N 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.327 * [taylor]: Taking taylor expansion of 1/2 in N 4.327 * [backup-simplify]: Simplify 1/2 into 1/2 4.327 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.327 * [taylor]: Taking taylor expansion of N in N 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.328 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.328 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.329 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 4.329 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.330 * [backup-simplify]: Simplify (sqrt 0) into 0 4.331 * [backup-simplify]: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 4.331 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 4.331 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 4.331 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 4.331 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 4.331 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.331 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.332 * [taylor]: Taking taylor expansion of N in N 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (* 1 1) into 1 4.332 * [backup-simplify]: Simplify (/ 1 1) into 1 4.332 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 4.332 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 4.332 * [taylor]: Taking taylor expansion of 1/3 in N 4.332 * [backup-simplify]: Simplify 1/3 into 1/3 4.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.333 * [taylor]: Taking taylor expansion of N in N 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 1 into 1 4.333 * [backup-simplify]: Simplify (/ 1 1) into 1 4.333 * [taylor]: Taking taylor expansion of 1/2 in N 4.333 * [backup-simplify]: Simplify 1/2 into 1/2 4.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.333 * [taylor]: Taking taylor expansion of N in N 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 1 into 1 4.334 * [backup-simplify]: Simplify (/ 1 1) into 1 4.334 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.334 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.335 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 4.335 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.336 * [backup-simplify]: Simplify (sqrt 0) into 0 4.337 * [backup-simplify]: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.339 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.339 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.340 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 4.343 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.346 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.346 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.348 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.348 * [backup-simplify]: Simplify (- 0) into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 4.361 * [backup-simplify]: Simplify (+ 0 1) into 1 4.366 * [backup-simplify]: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.366 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.366 * [backup-simplify]: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 4.366 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) (+ (/ 1/3 (/ 1 N)) -1/2) (/ 1 (/ 1 N)))) into (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) 4.366 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in (N) around 0 4.366 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 4.366 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 4.366 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 4.367 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 4.367 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.367 * [taylor]: Taking taylor expansion of N in N 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 4.367 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.367 * [taylor]: Taking taylor expansion of 1/3 in N 4.367 * [backup-simplify]: Simplify 1/3 into 1/3 4.367 * [taylor]: Taking taylor expansion of N in N 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [taylor]: Taking taylor expansion of 1/2 in N 4.367 * [backup-simplify]: Simplify 1/2 into 1/2 4.367 * [taylor]: Taking taylor expansion of N in N 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [backup-simplify]: Simplify (+ 0 0) into 0 4.368 * [backup-simplify]: Simplify (+ 0 1) into 1 4.368 * [backup-simplify]: Simplify (sqrt 0) into 0 4.370 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.370 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 4.370 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 4.370 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 4.370 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 4.370 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.370 * [taylor]: Taking taylor expansion of N in N 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 4.370 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.370 * [taylor]: Taking taylor expansion of 1/3 in N 4.370 * [backup-simplify]: Simplify 1/3 into 1/3 4.370 * [taylor]: Taking taylor expansion of N in N 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [taylor]: Taking taylor expansion of 1/2 in N 4.370 * [backup-simplify]: Simplify 1/2 into 1/2 4.370 * [taylor]: Taking taylor expansion of N in N 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (+ 0 0) into 0 4.371 * [backup-simplify]: Simplify (+ 0 1) into 1 4.371 * [backup-simplify]: Simplify (sqrt 0) into 0 4.373 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.373 * [backup-simplify]: Simplify (* 1 1) into 1 4.374 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.374 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.374 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.375 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 4.375 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.378 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.378 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.379 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.380 * [backup-simplify]: Simplify (- 0) into 0 4.380 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.382 * [backup-simplify]: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 4.382 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.386 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.386 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.386 * [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))))))) 4.387 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (+ (/ 1/3 (/ 1 (- N))) -1/2) (/ 1 (/ 1 (- N))))) into (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) 4.387 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in (N) around 0 4.387 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 4.387 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 4.387 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 4.387 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 4.387 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.387 * [taylor]: Taking taylor expansion of N in N 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify 1 into 1 4.387 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 4.387 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 4.387 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.387 * [taylor]: Taking taylor expansion of 1/3 in N 4.387 * [backup-simplify]: Simplify 1/3 into 1/3 4.387 * [taylor]: Taking taylor expansion of N in N 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify 1 into 1 4.387 * [taylor]: Taking taylor expansion of 1/2 in N 4.387 * [backup-simplify]: Simplify 1/2 into 1/2 4.387 * [taylor]: Taking taylor expansion of (* -1 N) in N 4.387 * [taylor]: Taking taylor expansion of -1 in N 4.387 * [backup-simplify]: Simplify -1 into -1 4.387 * [taylor]: Taking taylor expansion of N in N 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (* -1 0) into 0 4.388 * [backup-simplify]: Simplify (+ 0 0) into 0 4.389 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 4.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.390 * [backup-simplify]: Simplify (sqrt 0) into 0 4.391 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.391 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 4.391 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 4.391 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 4.392 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 4.392 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.392 * [taylor]: Taking taylor expansion of N in N 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 4.392 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 4.392 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.392 * [taylor]: Taking taylor expansion of 1/3 in N 4.392 * [backup-simplify]: Simplify 1/3 into 1/3 4.392 * [taylor]: Taking taylor expansion of N in N 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [taylor]: Taking taylor expansion of 1/2 in N 4.392 * [backup-simplify]: Simplify 1/2 into 1/2 4.392 * [taylor]: Taking taylor expansion of (* -1 N) in N 4.392 * [taylor]: Taking taylor expansion of -1 in N 4.392 * [backup-simplify]: Simplify -1 into -1 4.392 * [taylor]: Taking taylor expansion of N in N 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.393 * [backup-simplify]: Simplify (* -1 0) into 0 4.393 * [backup-simplify]: Simplify (+ 0 0) into 0 4.394 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 4.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.395 * [backup-simplify]: Simplify (sqrt 0) into 0 4.396 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.396 * [backup-simplify]: Simplify (* 1 1) into 1 4.397 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.397 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.398 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.398 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 4.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 4.400 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.402 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.403 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.403 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.404 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.404 * [backup-simplify]: Simplify (- 1/3) into -1/3 4.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.405 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.406 * [backup-simplify]: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 4.407 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.407 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 4.411 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.411 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.412 * [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))))))) 4.412 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.412 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) into (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) 4.412 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in (N) around 0 4.412 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 4.412 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 4.412 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 4.412 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 4.412 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.412 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.412 * [taylor]: Taking taylor expansion of N in N 4.412 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify 1 into 1 4.413 * [backup-simplify]: Simplify (* 1 1) into 1 4.413 * [backup-simplify]: Simplify (/ 1 1) into 1 4.413 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 4.413 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 4.413 * [taylor]: Taking taylor expansion of 1/3 in N 4.413 * [backup-simplify]: Simplify 1/3 into 1/3 4.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.413 * [taylor]: Taking taylor expansion of N in N 4.413 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify 1 into 1 4.414 * [backup-simplify]: Simplify (/ 1 1) into 1 4.414 * [taylor]: Taking taylor expansion of 1/2 in N 4.414 * [backup-simplify]: Simplify 1/2 into 1/2 4.414 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.414 * [taylor]: Taking taylor expansion of N in N 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 1 into 1 4.414 * [backup-simplify]: Simplify (/ 1 1) into 1 4.415 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.416 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.416 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 4.416 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.417 * [backup-simplify]: Simplify (sqrt 0) into 0 4.418 * [backup-simplify]: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 4.418 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 4.418 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 4.418 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 4.418 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 4.418 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.418 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.418 * [taylor]: Taking taylor expansion of N in N 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (* 1 1) into 1 4.419 * [backup-simplify]: Simplify (/ 1 1) into 1 4.419 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 4.419 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 4.419 * [taylor]: Taking taylor expansion of 1/3 in N 4.419 * [backup-simplify]: Simplify 1/3 into 1/3 4.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.419 * [taylor]: Taking taylor expansion of N in N 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 1 into 1 4.420 * [backup-simplify]: Simplify (/ 1 1) into 1 4.420 * [taylor]: Taking taylor expansion of 1/2 in N 4.420 * [backup-simplify]: Simplify 1/2 into 1/2 4.420 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.420 * [taylor]: Taking taylor expansion of N in N 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [backup-simplify]: Simplify (/ 1 1) into 1 4.420 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.420 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.421 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 4.421 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.421 * [backup-simplify]: Simplify (sqrt 0) into 0 4.422 * [backup-simplify]: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.423 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.423 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.424 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 4.425 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.427 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.427 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.429 * [backup-simplify]: Simplify (- 0) into 0 4.429 * [backup-simplify]: Simplify (+ 0 0) into 0 4.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 4.431 * [backup-simplify]: Simplify (+ 0 1) into 1 4.433 * [backup-simplify]: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.433 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.433 * [backup-simplify]: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 4.434 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) (+ (/ 1/3 (/ 1 N)) -1/2) (/ 1 (/ 1 N)))) into (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) 4.434 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in (N) around 0 4.434 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 4.434 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 4.434 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 4.434 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 4.434 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.434 * [taylor]: Taking taylor expansion of N in N 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 4.434 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.434 * [taylor]: Taking taylor expansion of 1/3 in N 4.434 * [backup-simplify]: Simplify 1/3 into 1/3 4.434 * [taylor]: Taking taylor expansion of N in N 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [taylor]: Taking taylor expansion of 1/2 in N 4.434 * [backup-simplify]: Simplify 1/2 into 1/2 4.434 * [taylor]: Taking taylor expansion of N in N 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [backup-simplify]: Simplify (+ 0 0) into 0 4.434 * [backup-simplify]: Simplify (+ 0 1) into 1 4.435 * [backup-simplify]: Simplify (sqrt 0) into 0 4.436 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.436 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 4.436 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 4.436 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 4.436 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 4.436 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.436 * [taylor]: Taking taylor expansion of N in N 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 4.436 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.436 * [taylor]: Taking taylor expansion of 1/3 in N 4.436 * [backup-simplify]: Simplify 1/3 into 1/3 4.436 * [taylor]: Taking taylor expansion of N in N 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [taylor]: Taking taylor expansion of 1/2 in N 4.436 * [backup-simplify]: Simplify 1/2 into 1/2 4.436 * [taylor]: Taking taylor expansion of N in N 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [backup-simplify]: Simplify (+ 0 0) into 0 4.436 * [backup-simplify]: Simplify (+ 0 1) into 1 4.437 * [backup-simplify]: Simplify (sqrt 0) into 0 4.437 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.438 * [backup-simplify]: Simplify (* 1 1) into 1 4.438 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.438 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.439 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.439 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 4.439 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.441 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.441 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.441 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.442 * [backup-simplify]: Simplify (- 0) into 0 4.442 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.443 * [backup-simplify]: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 4.443 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.446 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.446 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.446 * [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))))))) 4.446 * [backup-simplify]: Simplify (sqrt (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (+ (/ 1/3 (/ 1 (- N))) -1/2) (/ 1 (/ 1 (- N))))) into (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) 4.446 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in (N) around 0 4.446 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 4.446 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 4.446 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 4.446 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 4.446 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.446 * [taylor]: Taking taylor expansion of N in N 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 4.446 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 4.446 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.446 * [taylor]: Taking taylor expansion of 1/3 in N 4.446 * [backup-simplify]: Simplify 1/3 into 1/3 4.446 * [taylor]: Taking taylor expansion of N in N 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [taylor]: Taking taylor expansion of 1/2 in N 4.446 * [backup-simplify]: Simplify 1/2 into 1/2 4.446 * [taylor]: Taking taylor expansion of (* -1 N) in N 4.446 * [taylor]: Taking taylor expansion of -1 in N 4.446 * [backup-simplify]: Simplify -1 into -1 4.446 * [taylor]: Taking taylor expansion of N in N 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.447 * [backup-simplify]: Simplify (* -1 0) into 0 4.447 * [backup-simplify]: Simplify (+ 0 0) into 0 4.447 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 4.448 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.448 * [backup-simplify]: Simplify (sqrt 0) into 0 4.449 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.449 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 4.449 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 4.449 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 4.449 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 4.449 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.449 * [taylor]: Taking taylor expansion of N in N 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 4.449 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 4.449 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.449 * [taylor]: Taking taylor expansion of 1/3 in N 4.449 * [backup-simplify]: Simplify 1/3 into 1/3 4.449 * [taylor]: Taking taylor expansion of N in N 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [taylor]: Taking taylor expansion of 1/2 in N 4.449 * [backup-simplify]: Simplify 1/2 into 1/2 4.449 * [taylor]: Taking taylor expansion of (* -1 N) in N 4.449 * [taylor]: Taking taylor expansion of -1 in N 4.449 * [backup-simplify]: Simplify -1 into -1 4.449 * [taylor]: Taking taylor expansion of N in N 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [backup-simplify]: Simplify (* -1 0) into 0 4.450 * [backup-simplify]: Simplify (+ 0 0) into 0 4.450 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 4.450 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.451 * [backup-simplify]: Simplify (sqrt 0) into 0 4.451 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.452 * [backup-simplify]: Simplify 0 into 0 4.452 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.452 * [backup-simplify]: Simplify (* 1 1) into 1 4.452 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.452 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.453 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.453 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 4.453 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 4.454 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.456 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.456 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.456 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.456 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.457 * [backup-simplify]: Simplify (- 1/3) into -1/3 4.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.457 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.458 * [backup-simplify]: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 4.458 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.459 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 4.461 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.461 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.461 * [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))))))) 4.461 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 4.461 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 4.461 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 4.461 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 4.461 * [taylor]: Taking taylor expansion of 1/3 in N 4.461 * [backup-simplify]: Simplify 1/3 into 1/3 4.462 * [taylor]: Taking taylor expansion of N in N 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify 1 into 1 4.462 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.462 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 4.462 * [taylor]: Taking taylor expansion of 1/3 in N 4.462 * [backup-simplify]: Simplify 1/3 into 1/3 4.462 * [taylor]: Taking taylor expansion of N in N 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify 1 into 1 4.462 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.462 * [backup-simplify]: Simplify 1/3 into 1/3 4.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 4.463 * [backup-simplify]: Simplify 0 into 0 4.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.463 * [backup-simplify]: Simplify 0 into 0 4.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.464 * [backup-simplify]: Simplify 0 into 0 4.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.465 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.466 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.466 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 4.466 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 4.466 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 4.466 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.466 * [taylor]: Taking taylor expansion of 1/3 in N 4.466 * [backup-simplify]: Simplify 1/3 into 1/3 4.467 * [taylor]: Taking taylor expansion of N in N 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify 1 into 1 4.467 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.467 * [taylor]: Taking taylor expansion of 1/3 in N 4.467 * [backup-simplify]: Simplify 1/3 into 1/3 4.467 * [taylor]: Taking taylor expansion of N in N 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify 1 into 1 4.467 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.467 * [backup-simplify]: Simplify 1/3 into 1/3 4.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 4.468 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.474 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.475 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.476 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.477 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 4.478 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 4.478 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 4.478 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 4.478 * [taylor]: Taking taylor expansion of -1/3 in N 4.478 * [backup-simplify]: Simplify -1/3 into -1/3 4.478 * [taylor]: Taking taylor expansion of N in N 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 1 into 1 4.478 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 4.478 * [taylor]: Taking taylor expansion of -1/3 in N 4.479 * [backup-simplify]: Simplify -1/3 into -1/3 4.479 * [taylor]: Taking taylor expansion of N in N 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [backup-simplify]: Simplify (* -1/3 0) into 0 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 4.479 * [backup-simplify]: Simplify -1/3 into -1/3 4.480 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 4.480 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.481 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.484 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 4.485 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 4.485 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 4.485 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 4.485 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 4.485 * [taylor]: Taking taylor expansion of 1/3 in N 4.485 * [backup-simplify]: Simplify 1/3 into 1/3 4.485 * [taylor]: Taking taylor expansion of N in N 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify 1 into 1 4.485 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.485 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 4.485 * [taylor]: Taking taylor expansion of 1/3 in N 4.485 * [backup-simplify]: Simplify 1/3 into 1/3 4.485 * [taylor]: Taking taylor expansion of N in N 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify 1 into 1 4.486 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.486 * [backup-simplify]: Simplify 1/3 into 1/3 4.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.487 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.488 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.488 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 4.490 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 4.490 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 4.490 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.490 * [taylor]: Taking taylor expansion of 1/3 in N 4.490 * [backup-simplify]: Simplify 1/3 into 1/3 4.490 * [taylor]: Taking taylor expansion of N in N 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 1 into 1 4.490 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.490 * [taylor]: Taking taylor expansion of 1/3 in N 4.490 * [backup-simplify]: Simplify 1/3 into 1/3 4.490 * [taylor]: Taking taylor expansion of N in N 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 1 into 1 4.490 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.491 * [backup-simplify]: Simplify 1/3 into 1/3 4.491 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.492 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.494 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.495 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.496 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 4.497 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 4.497 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 4.497 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 4.497 * [taylor]: Taking taylor expansion of -1/3 in N 4.497 * [backup-simplify]: Simplify -1/3 into -1/3 4.497 * [taylor]: Taking taylor expansion of N in N 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 1 into 1 4.497 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 4.497 * [taylor]: Taking taylor expansion of -1/3 in N 4.497 * [backup-simplify]: Simplify -1/3 into -1/3 4.497 * [taylor]: Taking taylor expansion of N in N 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 1 into 1 4.498 * [backup-simplify]: Simplify (* -1/3 0) into 0 4.498 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 4.498 * [backup-simplify]: Simplify -1/3 into -1/3 4.499 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 4.499 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.501 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.503 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 4.504 * * * [progress]: simplifying candidates 4.504 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 16 / 104 ] simplifiying candidate #real (real->posit16 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))))))> 4.504 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 18 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 4.504 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 23 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 32 / 104 ] simplifiying candidate #real (real->posit16 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))))) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))))> 4.505 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 4.505 * * * * [progress]: [ 44 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 50 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 62 / 104 ] simplifiying candidate #real (real->posit16 (/ 1/3 N))) -1/2) (/ 1 N)))))> 4.506 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 65 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 4.506 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 70 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 4.507 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 91 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #real (real->posit16 (/ 1/3 N))) -1/2) (/ 1 N))) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))))> 4.508 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 4.508 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 4.509 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 4.509 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 4.509 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 4.509 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 4.509 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 4.510 * [simplify]: Simplifying: (expm1 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (log1p (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (log (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (exp (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (* (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (* (* (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (* (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt 1) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (/ 1 2) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (real->posit16 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (expm1 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (log1p (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (log (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (exp (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (* (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (* (* (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (* (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))))) (sqrt (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt 1) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (/ 1 2) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (real->posit16 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (- (log 1/3) (log N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (- (log 1/3) (log N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (- (+ (* +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))))))) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) 4.512 * * [simplify]: iteration 1: (94 enodes) 4.537 * * [simplify]: iteration 2: (340 enodes) 4.641 * * [simplify]: iteration 3: (558 enodes) 4.817 * * [simplify]: iteration 4: (1091 enodes) 5.305 * * [simplify]: Extracting #0: cost 49 inf + 0 5.306 * * [simplify]: Extracting #1: cost 236 inf + 45 5.311 * * [simplify]: Extracting #2: cost 524 inf + 3997 5.334 * * [simplify]: Extracting #3: cost 271 inf + 55426 5.385 * * [simplify]: Extracting #4: cost 33 inf + 109240 5.417 * * [simplify]: Extracting #5: cost 1 inf + 118996 5.446 * * [simplify]: Extracting #6: cost 0 inf + 119208 5.501 * [simplify]: Simplified to: (expm1 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (log1p (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (log (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (exp (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (* (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (* (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (fabs (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) 1 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) 1/2 (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (real->posit16 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (expm1 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (log1p (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (log (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (exp (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (* (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))))) (cbrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (* (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (fabs (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) 1 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) 1/2 (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (sqrt (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (real->posit16 (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (/ 1/27 N) (* N N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (/ (/ 1/27 N) (* N N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (/ 1/27 N) (* N N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (/ (/ 1/27 N) (* N N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (- (/ +nan.0 N) (fma +nan.0 N +nan.0)) (- (- (/ (/ (/ +nan.0 N) N) N) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) (- (- (/ (/ (/ +nan.0 N) N) N) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) (- (/ +nan.0 N) (fma +nan.0 N +nan.0)) (- (- (/ (/ (/ +nan.0 N) N) N) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) (- (- (/ (/ (/ +nan.0 N) N) N) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) 5.510 * * * [progress]: adding candidates to table 6.624 * * [progress]: iteration 4 / 4 6.624 * * * [progress]: picking best candidate 6.631 * * * * [pick]: Picked # 6.631 * * * [progress]: localizing error 6.647 * * * [progress]: generating rewritten candidates 6.648 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.655 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.689 * * * [progress]: generating series expansions 6.689 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.689 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 6.689 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 6.689 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.689 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.689 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.689 * [taylor]: Taking taylor expansion of N in N 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 1 into 1 6.689 * [taylor]: Taking taylor expansion of 1 in N 6.689 * [backup-simplify]: Simplify 1 into 1 6.689 * [taylor]: Taking taylor expansion of N in N 6.689 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify 1 into 1 6.690 * [backup-simplify]: Simplify (+ 0 1) into 1 6.691 * [backup-simplify]: Simplify (/ 1 1) into 1 6.691 * [backup-simplify]: Simplify (log 1) into 0 6.691 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.691 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.691 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.691 * [taylor]: Taking taylor expansion of N in N 6.691 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify 1 into 1 6.691 * [taylor]: Taking taylor expansion of 1 in N 6.691 * [backup-simplify]: Simplify 1 into 1 6.691 * [taylor]: Taking taylor expansion of N in N 6.691 * [backup-simplify]: Simplify 0 into 0 6.692 * [backup-simplify]: Simplify 1 into 1 6.692 * [backup-simplify]: Simplify (+ 0 1) into 1 6.692 * [backup-simplify]: Simplify (/ 1 1) into 1 6.693 * [backup-simplify]: Simplify (log 1) into 0 6.693 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.693 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 6.694 * [backup-simplify]: Simplify (+ 1 0) into 1 6.695 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.696 * [backup-simplify]: Simplify 1 into 1 6.696 * [backup-simplify]: Simplify (+ 0 0) into 0 6.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.701 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.701 * [backup-simplify]: Simplify -1/2 into -1/2 6.701 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 6.701 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 6.701 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 6.701 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.701 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.701 * [taylor]: Taking taylor expansion of N in N 6.701 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify 1 into 1 6.702 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.702 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.702 * [taylor]: Taking taylor expansion of N in N 6.702 * [backup-simplify]: Simplify 0 into 0 6.702 * [backup-simplify]: Simplify 1 into 1 6.702 * [backup-simplify]: Simplify (/ 1 1) into 1 6.702 * [taylor]: Taking taylor expansion of 1 in N 6.702 * [backup-simplify]: Simplify 1 into 1 6.703 * [backup-simplify]: Simplify (+ 1 0) into 1 6.703 * [backup-simplify]: Simplify (* 0 1) into 0 6.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.704 * [backup-simplify]: Simplify (+ 0 1) into 1 6.705 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.705 * [backup-simplify]: Simplify (log 1) into 0 6.706 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.706 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.706 * [taylor]: Taking taylor expansion of N in N 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.706 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.706 * [taylor]: Taking taylor expansion of N in N 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [backup-simplify]: Simplify (/ 1 1) into 1 6.706 * [taylor]: Taking taylor expansion of 1 in N 6.706 * [backup-simplify]: Simplify 1 into 1 6.707 * [backup-simplify]: Simplify (+ 1 0) into 1 6.707 * [backup-simplify]: Simplify (* 0 1) into 0 6.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.708 * [backup-simplify]: Simplify (+ 0 1) into 1 6.709 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.709 * [backup-simplify]: Simplify (log 1) into 0 6.709 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.711 * [backup-simplify]: Simplify (+ 0 0) into 0 6.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.713 * [backup-simplify]: Simplify 1 into 1 6.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.714 * [backup-simplify]: Simplify (+ 0 0) into 0 6.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.717 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.717 * [backup-simplify]: Simplify -1/2 into -1/2 6.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.718 * [backup-simplify]: Simplify (+ 0 0) into 0 6.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.721 * [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 6.721 * [backup-simplify]: Simplify 1/3 into 1/3 6.721 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 6.721 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 6.721 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 6.721 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.721 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.721 * [taylor]: Taking taylor expansion of -1 in N 6.722 * [backup-simplify]: Simplify -1 into -1 6.722 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.722 * [taylor]: Taking taylor expansion of N in N 6.722 * [backup-simplify]: Simplify 0 into 0 6.722 * [backup-simplify]: Simplify 1 into 1 6.722 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.722 * [taylor]: Taking taylor expansion of 1 in N 6.722 * [backup-simplify]: Simplify 1 into 1 6.722 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.722 * [taylor]: Taking taylor expansion of N in N 6.722 * [backup-simplify]: Simplify 0 into 0 6.722 * [backup-simplify]: Simplify 1 into 1 6.722 * [backup-simplify]: Simplify (/ 1 1) into 1 6.722 * [backup-simplify]: Simplify (- 1) into -1 6.722 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.723 * [backup-simplify]: Simplify (* 0 -1) into 0 6.723 * [backup-simplify]: Simplify (* -1 0) into 0 6.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.724 * [backup-simplify]: Simplify (- 0) into 0 6.724 * [backup-simplify]: Simplify (+ 1 0) into 1 6.724 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.725 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.725 * [backup-simplify]: Simplify (log 1) into 0 6.725 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.725 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.725 * [taylor]: Taking taylor expansion of -1 in N 6.725 * [backup-simplify]: Simplify -1 into -1 6.725 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.725 * [taylor]: Taking taylor expansion of N in N 6.725 * [backup-simplify]: Simplify 0 into 0 6.725 * [backup-simplify]: Simplify 1 into 1 6.725 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.725 * [taylor]: Taking taylor expansion of 1 in N 6.725 * [backup-simplify]: Simplify 1 into 1 6.725 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.725 * [taylor]: Taking taylor expansion of N in N 6.725 * [backup-simplify]: Simplify 0 into 0 6.725 * [backup-simplify]: Simplify 1 into 1 6.726 * [backup-simplify]: Simplify (/ 1 1) into 1 6.726 * [backup-simplify]: Simplify (- 1) into -1 6.726 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.726 * [backup-simplify]: Simplify (* 0 -1) into 0 6.727 * [backup-simplify]: Simplify (* -1 0) into 0 6.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.727 * [backup-simplify]: Simplify (- 0) into 0 6.728 * [backup-simplify]: Simplify (+ 1 0) into 1 6.728 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.728 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.729 * [backup-simplify]: Simplify (log 1) into 0 6.729 * [backup-simplify]: Simplify 0 into 0 6.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.730 * [backup-simplify]: Simplify (- 0) into 0 6.730 * [backup-simplify]: Simplify (+ 0 0) into 0 6.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.731 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.732 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 6.732 * [backup-simplify]: Simplify -1 into -1 6.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.733 * [backup-simplify]: Simplify (- 0) into 0 6.733 * [backup-simplify]: Simplify (+ 0 0) into 0 6.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.734 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.736 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.736 * [backup-simplify]: Simplify -1/2 into -1/2 6.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.737 * [backup-simplify]: Simplify (- 0) into 0 6.737 * [backup-simplify]: Simplify (+ 0 0) into 0 6.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.739 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.741 * [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 6.741 * [backup-simplify]: Simplify -1/3 into -1/3 6.742 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 6.742 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.742 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 6.742 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 6.742 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.742 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.742 * [taylor]: Taking taylor expansion of N in N 6.742 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 1 into 1 6.742 * [taylor]: Taking taylor expansion of 1 in N 6.742 * [backup-simplify]: Simplify 1 into 1 6.742 * [taylor]: Taking taylor expansion of N in N 6.742 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 1 into 1 6.742 * [backup-simplify]: Simplify (+ 0 1) into 1 6.743 * [backup-simplify]: Simplify (/ 1 1) into 1 6.743 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.743 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.743 * [taylor]: Taking taylor expansion of N in N 6.743 * [backup-simplify]: Simplify 0 into 0 6.743 * [backup-simplify]: Simplify 1 into 1 6.743 * [taylor]: Taking taylor expansion of 1 in N 6.743 * [backup-simplify]: Simplify 1 into 1 6.743 * [taylor]: Taking taylor expansion of N in N 6.743 * [backup-simplify]: Simplify 0 into 0 6.743 * [backup-simplify]: Simplify 1 into 1 6.743 * [backup-simplify]: Simplify (+ 0 1) into 1 6.744 * [backup-simplify]: Simplify (/ 1 1) into 1 6.744 * [backup-simplify]: Simplify 1 into 1 6.744 * [backup-simplify]: Simplify (+ 1 0) into 1 6.745 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.745 * [backup-simplify]: Simplify 1 into 1 6.745 * [backup-simplify]: Simplify (+ 0 0) into 0 6.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.746 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify (+ 0 0) into 0 6.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.748 * [backup-simplify]: Simplify 0 into 0 6.748 * [backup-simplify]: Simplify (+ 0 0) into 0 6.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.749 * [backup-simplify]: Simplify 0 into 0 6.750 * [backup-simplify]: Simplify (+ 0 0) into 0 6.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.751 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify (+ 0 0) into 0 6.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify (+ 0 0) into 0 6.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.753 * [backup-simplify]: Simplify 0 into 0 6.754 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 6.754 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 6.754 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 6.754 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.754 * [taylor]: Taking taylor expansion of N in N 6.754 * [backup-simplify]: Simplify 0 into 0 6.754 * [backup-simplify]: Simplify 1 into 1 6.754 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.754 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.754 * [taylor]: Taking taylor expansion of N in N 6.754 * [backup-simplify]: Simplify 0 into 0 6.754 * [backup-simplify]: Simplify 1 into 1 6.754 * [backup-simplify]: Simplify (/ 1 1) into 1 6.754 * [taylor]: Taking taylor expansion of 1 in N 6.754 * [backup-simplify]: Simplify 1 into 1 6.754 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.754 * [taylor]: Taking taylor expansion of N in N 6.755 * [backup-simplify]: Simplify 0 into 0 6.755 * [backup-simplify]: Simplify 1 into 1 6.755 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.755 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.755 * [taylor]: Taking taylor expansion of N in N 6.755 * [backup-simplify]: Simplify 0 into 0 6.755 * [backup-simplify]: Simplify 1 into 1 6.755 * [backup-simplify]: Simplify (/ 1 1) into 1 6.755 * [taylor]: Taking taylor expansion of 1 in N 6.755 * [backup-simplify]: Simplify 1 into 1 6.756 * [backup-simplify]: Simplify (+ 1 0) into 1 6.756 * [backup-simplify]: Simplify (* 0 1) into 0 6.756 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.757 * [backup-simplify]: Simplify (+ 0 1) into 1 6.758 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.758 * [backup-simplify]: Simplify 1 into 1 6.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.759 * [backup-simplify]: Simplify (+ 0 0) into 0 6.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.760 * [backup-simplify]: Simplify 1 into 1 6.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.760 * [backup-simplify]: Simplify (+ 0 0) into 0 6.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.761 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.762 * [backup-simplify]: Simplify (+ 0 0) into 0 6.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.763 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.763 * [backup-simplify]: Simplify (+ 0 0) into 0 6.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 6.764 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.765 * [backup-simplify]: Simplify (+ 0 0) into 0 6.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 6.766 * [backup-simplify]: Simplify 0 into 0 6.767 * [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 6.767 * [backup-simplify]: Simplify (+ 0 0) into 0 6.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 6.768 * [backup-simplify]: Simplify 0 into 0 6.768 * [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 6.769 * [backup-simplify]: Simplify (+ 0 0) into 0 6.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 6.770 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 6.770 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 6.770 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.770 * [taylor]: Taking taylor expansion of -1 in N 6.770 * [backup-simplify]: Simplify -1 into -1 6.770 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.770 * [taylor]: Taking taylor expansion of N in N 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify 1 into 1 6.770 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.770 * [taylor]: Taking taylor expansion of 1 in N 6.770 * [backup-simplify]: Simplify 1 into 1 6.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.770 * [taylor]: Taking taylor expansion of N in N 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify 1 into 1 6.770 * [backup-simplify]: Simplify (/ 1 1) into 1 6.770 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.770 * [taylor]: Taking taylor expansion of -1 in N 6.770 * [backup-simplify]: Simplify -1 into -1 6.771 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.771 * [taylor]: Taking taylor expansion of N in N 6.771 * [backup-simplify]: Simplify 0 into 0 6.771 * [backup-simplify]: Simplify 1 into 1 6.771 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.771 * [taylor]: Taking taylor expansion of 1 in N 6.771 * [backup-simplify]: Simplify 1 into 1 6.771 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.771 * [taylor]: Taking taylor expansion of N in N 6.771 * [backup-simplify]: Simplify 0 into 0 6.771 * [backup-simplify]: Simplify 1 into 1 6.771 * [backup-simplify]: Simplify (/ 1 1) into 1 6.771 * [backup-simplify]: Simplify (- 1) into -1 6.771 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.772 * [backup-simplify]: Simplify (* 0 -1) into 0 6.772 * [backup-simplify]: Simplify (* -1 0) into 0 6.772 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.773 * [backup-simplify]: Simplify (- 0) into 0 6.773 * [backup-simplify]: Simplify (+ 1 0) into 1 6.778 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.778 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.778 * [backup-simplify]: Simplify 1 into 1 6.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.779 * [backup-simplify]: Simplify (- 0) into 0 6.780 * [backup-simplify]: Simplify (+ 0 0) into 0 6.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.781 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.781 * [backup-simplify]: Simplify -1 into -1 6.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.782 * [backup-simplify]: Simplify (- 0) into 0 6.782 * [backup-simplify]: Simplify (+ 0 0) into 0 6.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.784 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.785 * [backup-simplify]: Simplify (- 0) into 0 6.785 * [backup-simplify]: Simplify (+ 0 0) into 0 6.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.786 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.787 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.788 * [backup-simplify]: Simplify (- 0) into 0 6.788 * [backup-simplify]: Simplify (+ 0 0) into 0 6.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 6.791 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 6.791 * [backup-simplify]: Simplify 0 into 0 6.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.793 * [backup-simplify]: Simplify (- 0) into 0 6.793 * [backup-simplify]: Simplify (+ 0 0) into 0 6.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 6.797 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 6.797 * [backup-simplify]: Simplify 0 into 0 6.798 * [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 6.799 * [backup-simplify]: Simplify (- 0) into 0 6.799 * [backup-simplify]: Simplify (+ 0 0) into 0 6.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 6.803 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 6.803 * [backup-simplify]: Simplify 0 into 0 6.804 * [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 6.804 * [backup-simplify]: Simplify (- 0) into 0 6.805 * [backup-simplify]: Simplify (+ 0 0) into 0 6.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 6.807 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 6.807 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 6.808 * * * [progress]: simplifying candidates 6.808 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 6.808 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 6.809 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 6.809 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 6.810 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 6.810 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 6.811 * [simplify]: Simplifying: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (expm1 (/ (+ 1 N) N)) (log1p (/ (+ 1 N) N)) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 6.812 * * [simplify]: iteration 1: (106 enodes) 6.842 * * [simplify]: iteration 2: (414 enodes) 6.920 * * [simplify]: iteration 3: (757 enodes) 7.143 * * [simplify]: iteration 4: (1552 enodes) 8.118 * * [simplify]: Extracting #0: cost 69 inf + 0 8.119 * * [simplify]: Extracting #1: cost 349 inf + 2 8.126 * * [simplify]: Extracting #2: cost 696 inf + 5895 8.153 * * [simplify]: Extracting #3: cost 444 inf + 62101 8.209 * * [simplify]: Extracting #4: cost 50 inf + 165649 8.255 * * [simplify]: Extracting #5: cost 0 inf + 184764 8.329 * * [simplify]: Extracting #6: cost 0 inf + 184724 8.406 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1) N))) (log1p (log (/ (+ N 1) N))) (+ (log (cbrt (/ (+ N 1) N))) (log (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (+ (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (expm1 (/ (+ N 1) N)) (log1p (/ (+ N 1) N)) (log (/ (+ N 1) N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- -1 N) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (sqrt (+ N 1)) (/ (sqrt (+ N 1)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (+ N 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (fma (- (* N N) N) N N) (- N (* N N)) (real->posit16 (/ (+ N 1) N)) (fma (* N N) -1/2 (- N (log N))) (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)) (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 8.411 * * * [progress]: adding candidates to table 8.931 * [progress]: [Phase 3 of 3] Extracting. 8.931 * * [regime]: Finding splitpoints for: (# # # # #) 8.931 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.931 * * * * [regimes]: Trying to branch on N from (# # # # #) 8.980 * * * [regime]: Found split indices: #