17.325 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.077 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.080 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.080 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.080 * * [simplify]: iteration 0: 6 enodes 0.081 * * [simplify]: iteration 1: 11 enodes 0.083 * * [simplify]: iteration 2: 13 enodes 0.084 * * [simplify]: iteration complete: 13 enodes 0.084 * * [simplify]: Extracting #0: cost 1 inf + 0 0.084 * * [simplify]: Extracting #1: cost 4 inf + 0 0.084 * * [simplify]: Extracting #2: cost 6 inf + 0 0.085 * * [simplify]: Extracting #3: cost 2 inf + 475 0.085 * * [simplify]: Extracting #4: cost 0 inf + 518 0.085 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.088 * * [progress]: iteration 1 / 4 0.089 * * * [progress]: picking best candidate 0.091 * * * * [pick]: Picked # 0.091 * * * [progress]: localizing error 0.101 * * * [progress]: generating rewritten candidates 0.101 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.135 * * * [progress]: generating series expansions 0.135 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.135 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.135 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.135 * [taylor]: Taking taylor expansion of (log1p N) in N 0.138 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.138 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of 1 in N 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [backup-simplify]: Simplify (log 1) into 0 0.139 * [taylor]: Taking taylor expansion of (log N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.140 * [taylor]: Taking taylor expansion of (log1p N) in N 0.140 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.140 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of 1 in N 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.141 * [backup-simplify]: Simplify (log 1) into 0 0.141 * [taylor]: Taking taylor expansion of (log N) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (log 1) into 0 0.142 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.142 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.142 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.142 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.143 * [backup-simplify]: Simplify (+ 0 1) into 1 0.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.153 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.154 * [backup-simplify]: Simplify -1/2 into -1/2 0.154 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.154 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.154 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.154 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.154 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.154 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.154 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.155 * [taylor]: Taking taylor expansion of 1 in N 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [backup-simplify]: Simplify (+ 0 1) into 1 0.156 * [backup-simplify]: Simplify (log 1) into 0 0.156 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [backup-simplify]: Simplify (log 1) into 0 0.157 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.157 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.157 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.157 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.157 * [taylor]: Taking taylor expansion of 1 in N 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ 0 1) into 1 0.158 * [backup-simplify]: Simplify (log 1) into 0 0.158 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (log 1) into 0 0.160 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.160 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.160 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.160 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.174 * [backup-simplify]: Simplify -1/2 into -1/2 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [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 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [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 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.189 * [backup-simplify]: Simplify 1/3 into 1/3 0.189 * [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)))) 0.190 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.190 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.190 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.190 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.190 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.190 * [taylor]: Taking taylor expansion of 1 in N 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.190 * [taylor]: Taking taylor expansion of -1 in N 0.190 * [backup-simplify]: Simplify -1 into -1 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ -1 1) into -1 0.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.191 * [backup-simplify]: Simplify (log -1) into (log -1) 0.191 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.191 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.191 * [taylor]: Taking taylor expansion of -1 in N 0.191 * [backup-simplify]: Simplify -1 into -1 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ -1 1) into -1 0.192 * [backup-simplify]: Simplify (log -1) into (log -1) 0.192 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.192 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.192 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.192 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.192 * [taylor]: Taking taylor expansion of 1 in N 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.192 * [taylor]: Taking taylor expansion of -1 in N 0.193 * [backup-simplify]: Simplify -1 into -1 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ -1 1) into -1 0.193 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.194 * [backup-simplify]: Simplify (log -1) into (log -1) 0.194 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.194 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.194 * [taylor]: Taking taylor expansion of -1 in N 0.194 * [backup-simplify]: Simplify -1 into -1 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ -1 1) into -1 0.195 * [backup-simplify]: Simplify (log -1) into (log -1) 0.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.197 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.197 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.198 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ -1 0) into -1 0.203 * [backup-simplify]: Simplify -1 into -1 0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.213 * [backup-simplify]: Simplify -1/2 into -1/2 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [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 0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [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 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.227 * [backup-simplify]: Simplify -1/3 into -1/3 0.228 * [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)))) 0.228 * * * [progress]: simplifying candidates 0.228 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.228 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.228 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.228 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.228 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.228 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.228 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.228 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.228 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.228 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.228 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.229 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.230 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.230 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.231 * [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)))) 0.232 * * [simplify]: iteration 0: 83 enodes 0.256 * * [simplify]: iteration 1: 185 enodes 0.653 * * [simplify]: iteration 2: 403 enodes 0.831 * * [simplify]: iteration 3: 1137 enodes 2.073 * * [simplify]: iteration 4: 4052 enodes 3.101 * * [simplify]: iteration complete: 5000 enodes 3.101 * * [simplify]: Extracting #0: cost 24 inf + 0 3.103 * * [simplify]: Extracting #1: cost 367 inf + 1 3.115 * * [simplify]: Extracting #2: cost 718 inf + 11427 3.133 * * [simplify]: Extracting #3: cost 498 inf + 68470 3.166 * * [simplify]: Extracting #4: cost 180 inf + 156770 3.220 * * [simplify]: Extracting #5: cost 7 inf + 229146 3.285 * * [simplify]: Extracting #6: cost 0 inf + 232781 3.335 * [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 (log1p N) (log1p N) (* (+ (log N) (log1p N)) (log N))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log N) (log1p N)) (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (fma -2 (log (cbrt N)) (log1p N)) (- (log1p N) (log (sqrt N))) (log1p N) (- (log N)) (real->posit16 (- (log1p N) (log N))) (- (fma -1/2 (* N N) N) (log N)) (fma (/ (/ 1 N) N) (+ -1/2 (/ 1/3 N)) (/ 1 N)) (fma (/ (/ 1 N) N) (+ -1/2 (/ 1/3 N)) (/ 1 N)) 3.337 * * * [progress]: adding candidates to table 3.448 * * [progress]: iteration 2 / 4 3.449 * * * [progress]: picking best candidate 3.455 * * * * [pick]: Picked # 3.455 * * * [progress]: localizing error 3.472 * * * [progress]: generating rewritten candidates 3.472 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.480 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.496 * * * [progress]: generating series expansions 3.496 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.497 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 3.497 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.497 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.497 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.497 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.497 * [taylor]: Taking taylor expansion of N in N 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of 1 in N 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of N in N 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [backup-simplify]: Simplify (+ 0 1) into 1 3.498 * [backup-simplify]: Simplify (/ 1 1) into 1 3.498 * [backup-simplify]: Simplify (log 1) into 0 3.498 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.498 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.498 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.498 * [taylor]: Taking taylor expansion of N in N 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [taylor]: Taking taylor expansion of 1 in N 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [taylor]: Taking taylor expansion of N in N 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (+ 0 1) into 1 3.498 * [backup-simplify]: Simplify (/ 1 1) into 1 3.499 * [backup-simplify]: Simplify (log 1) into 0 3.499 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.499 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.499 * [backup-simplify]: Simplify (+ 1 0) into 1 3.500 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [backup-simplify]: Simplify (+ 0 0) into 0 3.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.503 * [backup-simplify]: Simplify -1/2 into -1/2 3.503 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.503 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.503 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.503 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.503 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.503 * [taylor]: Taking taylor expansion of N in N 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.503 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.503 * [taylor]: Taking taylor expansion of N in N 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (/ 1 1) into 1 3.504 * [taylor]: Taking taylor expansion of 1 in N 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (+ 1 0) into 1 3.504 * [backup-simplify]: Simplify (* 0 1) into 0 3.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.505 * [backup-simplify]: Simplify (+ 0 1) into 1 3.505 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.505 * [backup-simplify]: Simplify (log 1) into 0 3.505 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.505 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.505 * [taylor]: Taking taylor expansion of N in N 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.506 * [taylor]: Taking taylor expansion of N in N 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [taylor]: Taking taylor expansion of 1 in N 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (+ 1 0) into 1 3.506 * [backup-simplify]: Simplify (* 0 1) into 0 3.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.507 * [backup-simplify]: Simplify (+ 0 1) into 1 3.507 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.508 * [backup-simplify]: Simplify (log 1) into 0 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.508 * [backup-simplify]: Simplify (+ 0 0) into 0 3.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.511 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (+ 0 0) into 0 3.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.516 * [backup-simplify]: Simplify -1/2 into -1/2 3.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.517 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.524 * [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 3.524 * [backup-simplify]: Simplify 1/3 into 1/3 3.525 * [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)))) 3.525 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.525 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.525 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.525 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.525 * [taylor]: Taking taylor expansion of -1 in N 3.525 * [backup-simplify]: Simplify -1 into -1 3.525 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.525 * [taylor]: Taking taylor expansion of N in N 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 1 into 1 3.525 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.525 * [taylor]: Taking taylor expansion of 1 in N 3.525 * [backup-simplify]: Simplify 1 into 1 3.525 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.525 * [taylor]: Taking taylor expansion of N in N 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (/ 1 1) into 1 3.526 * [backup-simplify]: Simplify (- 1) into -1 3.527 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.527 * [backup-simplify]: Simplify (* 0 -1) into 0 3.527 * [backup-simplify]: Simplify (* -1 0) into 0 3.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (- 0) into 0 3.529 * [backup-simplify]: Simplify (+ 1 0) into 1 3.530 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.530 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.531 * [backup-simplify]: Simplify (log 1) into 0 3.531 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.531 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.531 * [taylor]: Taking taylor expansion of -1 in N 3.531 * [backup-simplify]: Simplify -1 into -1 3.531 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.531 * [taylor]: Taking taylor expansion of N in N 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify 1 into 1 3.531 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.531 * [taylor]: Taking taylor expansion of 1 in N 3.531 * [backup-simplify]: Simplify 1 into 1 3.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.531 * [taylor]: Taking taylor expansion of N in N 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify 1 into 1 3.531 * [backup-simplify]: Simplify (/ 1 1) into 1 3.532 * [backup-simplify]: Simplify (- 1) into -1 3.532 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.533 * [backup-simplify]: Simplify (* 0 -1) into 0 3.533 * [backup-simplify]: Simplify (* -1 0) into 0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (- 0) into 0 3.534 * [backup-simplify]: Simplify (+ 1 0) into 1 3.535 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.536 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.536 * [backup-simplify]: Simplify (log 1) into 0 3.536 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (- 0) into 0 3.538 * [backup-simplify]: Simplify (+ 0 0) into 0 3.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.540 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.542 * [backup-simplify]: Simplify -1 into -1 3.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.543 * [backup-simplify]: Simplify (- 0) into 0 3.544 * [backup-simplify]: Simplify (+ 0 0) into 0 3.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.555 * [backup-simplify]: Simplify -1/2 into -1/2 3.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.556 * [backup-simplify]: Simplify (- 0) into 0 3.557 * [backup-simplify]: Simplify (+ 0 0) into 0 3.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.560 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.566 * [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 3.566 * [backup-simplify]: Simplify -1/3 into -1/3 3.567 * [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)))) 3.567 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.567 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 3.567 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.567 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.567 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.567 * [taylor]: Taking taylor expansion of N in N 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [taylor]: Taking taylor expansion of 1 in N 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [taylor]: Taking taylor expansion of N in N 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.568 * [backup-simplify]: Simplify (+ 0 1) into 1 3.569 * [backup-simplify]: Simplify (/ 1 1) into 1 3.569 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.569 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.569 * [taylor]: Taking taylor expansion of N in N 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of 1 in N 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of N in N 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify (+ 0 1) into 1 3.570 * [backup-simplify]: Simplify (/ 1 1) into 1 3.570 * [backup-simplify]: Simplify 1 into 1 3.570 * [backup-simplify]: Simplify (+ 1 0) into 1 3.571 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [backup-simplify]: Simplify (+ 0 0) into 0 3.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.572 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify (+ 0 0) into 0 3.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify (+ 0 0) into 0 3.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify (+ 0 0) into 0 3.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.576 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify (+ 0 0) into 0 3.578 * [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 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify (+ 0 0) into 0 3.579 * [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 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.579 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.579 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.579 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.579 * [taylor]: Taking taylor expansion of N in N 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.579 * [taylor]: Taking taylor expansion of N in N 3.579 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [backup-simplify]: Simplify (/ 1 1) into 1 3.580 * [taylor]: Taking taylor expansion of 1 in N 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.580 * [taylor]: Taking taylor expansion of N in N 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.580 * [taylor]: Taking taylor expansion of N in N 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.581 * [backup-simplify]: Simplify (/ 1 1) into 1 3.581 * [taylor]: Taking taylor expansion of 1 in N 3.581 * [backup-simplify]: Simplify 1 into 1 3.581 * [backup-simplify]: Simplify (+ 1 0) into 1 3.581 * [backup-simplify]: Simplify (* 0 1) into 0 3.581 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.583 * [backup-simplify]: Simplify (+ 0 1) into 1 3.584 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.584 * [backup-simplify]: Simplify 1 into 1 3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (+ 0 0) into 0 3.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.586 * [backup-simplify]: Simplify 1 into 1 3.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.588 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.589 * [backup-simplify]: Simplify (+ 0 0) into 0 3.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ 0 0) into 0 3.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.594 * [backup-simplify]: Simplify (+ 0 0) into 0 3.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [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 3.595 * [backup-simplify]: Simplify (+ 0 0) into 0 3.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.596 * [backup-simplify]: Simplify 0 into 0 3.597 * [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 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.598 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.598 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.598 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.598 * [taylor]: Taking taylor expansion of -1 in N 3.598 * [backup-simplify]: Simplify -1 into -1 3.598 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.598 * [taylor]: Taking taylor expansion of N in N 3.598 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.599 * [taylor]: Taking taylor expansion of 1 in N 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.599 * [taylor]: Taking taylor expansion of N in N 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (/ 1 1) into 1 3.599 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.599 * [taylor]: Taking taylor expansion of -1 in N 3.599 * [backup-simplify]: Simplify -1 into -1 3.599 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.599 * [taylor]: Taking taylor expansion of N in N 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.599 * [taylor]: Taking taylor expansion of 1 in N 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.599 * [taylor]: Taking taylor expansion of N in N 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (/ 1 1) into 1 3.600 * [backup-simplify]: Simplify (- 1) into -1 3.600 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.600 * [backup-simplify]: Simplify (* 0 -1) into 0 3.600 * [backup-simplify]: Simplify (* -1 0) into 0 3.600 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (- 0) into 0 3.601 * [backup-simplify]: Simplify (+ 1 0) into 1 3.602 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.602 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.602 * [backup-simplify]: Simplify 1 into 1 3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (- 0) into 0 3.603 * [backup-simplify]: Simplify (+ 0 0) into 0 3.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.604 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.604 * [backup-simplify]: Simplify -1 into -1 3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (- 0) into 0 3.605 * [backup-simplify]: Simplify (+ 0 0) into 0 3.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.607 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (- 0) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.609 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.610 * [backup-simplify]: Simplify (- 0) into 0 3.610 * [backup-simplify]: Simplify (+ 0 0) into 0 3.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.612 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (- 0) into 0 3.613 * [backup-simplify]: Simplify (+ 0 0) into 0 3.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.615 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.615 * [backup-simplify]: Simplify 0 into 0 3.616 * [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 3.616 * [backup-simplify]: Simplify (- 0) into 0 3.616 * [backup-simplify]: Simplify (+ 0 0) into 0 3.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.619 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [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 3.620 * [backup-simplify]: Simplify (- 0) into 0 3.620 * [backup-simplify]: Simplify (+ 0 0) into 0 3.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.622 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.623 * * * [progress]: simplifying candidates 3.623 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 3.623 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 3.624 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 3.624 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 3.625 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 3.625 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 3.626 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 3.626 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 3.626 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 3.626 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 3.627 * [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) 3.629 * * [simplify]: iteration 0: 106 enodes 3.683 * * [simplify]: iteration 1: 244 enodes 3.746 * * [simplify]: iteration 2: 583 enodes 4.017 * * [simplify]: iteration 3: 2586 enodes 5.289 * * [simplify]: iteration complete: 5052 enodes 5.289 * * [simplify]: Extracting #0: cost 69 inf + 0 5.292 * * [simplify]: Extracting #1: cost 506 inf + 2 5.302 * * [simplify]: Extracting #2: cost 1571 inf + 6687 5.336 * * [simplify]: Extracting #3: cost 1134 inf + 97525 5.392 * * [simplify]: Extracting #4: cost 333 inf + 265722 5.457 * * [simplify]: Extracting #5: cost 4 inf + 366616 5.533 * * [simplify]: Extracting #6: cost 0 inf + 367906 5.598 * [simplify]: Simplified to: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (+ (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (expm1 (/ (+ 1 N) N)) (log1p (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (fma (- (* N N) N) N N) (* (- 1 N) N) (real->posit16 (/ (+ 1 N) N)) (- N (fma N (* N 1/2) (log N))) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 5.601 * * * [progress]: adding candidates to table 5.827 * * [progress]: iteration 3 / 4 5.827 * * * [progress]: picking best candidate 5.834 * * * * [pick]: Picked # 5.834 * * * [progress]: localizing error 5.853 * * * [progress]: generating rewritten candidates 5.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.859 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.867 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.879 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.894 * * * [progress]: generating series expansions 5.894 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.894 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 5.894 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 5.894 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.894 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.894 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.894 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.894 * [taylor]: Taking taylor expansion of N in N 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 1 into 1 5.894 * [taylor]: Taking taylor expansion of 1 in N 5.894 * [backup-simplify]: Simplify 1 into 1 5.894 * [taylor]: Taking taylor expansion of N in N 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 1 into 1 5.896 * [backup-simplify]: Simplify (+ 0 1) into 1 5.896 * [backup-simplify]: Simplify (/ 1 1) into 1 5.897 * [backup-simplify]: Simplify (sqrt 0) into 0 5.898 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.899 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.899 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.899 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.899 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.899 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.899 * [taylor]: Taking taylor expansion of N in N 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.899 * [taylor]: Taking taylor expansion of 1 in N 5.899 * [backup-simplify]: Simplify 1 into 1 5.899 * [taylor]: Taking taylor expansion of N in N 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.899 * [backup-simplify]: Simplify (+ 0 1) into 1 5.900 * [backup-simplify]: Simplify (/ 1 1) into 1 5.900 * [backup-simplify]: Simplify (sqrt 0) into 0 5.902 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.902 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.902 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.903 * [backup-simplify]: Simplify (+ 1 0) into 1 5.904 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.907 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.914 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.914 * [backup-simplify]: Simplify (+ 0 0) into 0 5.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.933 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.934 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.934 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.934 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 5.934 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 5.934 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.934 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.935 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.935 * [taylor]: Taking taylor expansion of N in N 5.935 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify 1 into 1 5.935 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.935 * [taylor]: Taking taylor expansion of N in N 5.935 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify 1 into 1 5.935 * [backup-simplify]: Simplify (/ 1 1) into 1 5.935 * [taylor]: Taking taylor expansion of 1 in N 5.935 * [backup-simplify]: Simplify 1 into 1 5.936 * [backup-simplify]: Simplify (+ 1 0) into 1 5.936 * [backup-simplify]: Simplify (* 0 1) into 0 5.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.937 * [backup-simplify]: Simplify (+ 0 1) into 1 5.938 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.938 * [backup-simplify]: Simplify (sqrt 1) into 1 5.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.940 * [backup-simplify]: Simplify (+ 0 0) into 0 5.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.941 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.942 * [backup-simplify]: Simplify (log 1) into 0 5.942 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.942 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.942 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.942 * [taylor]: Taking taylor expansion of N in N 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 1 into 1 5.942 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.942 * [taylor]: Taking taylor expansion of N in N 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 1 into 1 5.942 * [backup-simplify]: Simplify (/ 1 1) into 1 5.943 * [taylor]: Taking taylor expansion of 1 in N 5.943 * [backup-simplify]: Simplify 1 into 1 5.943 * [backup-simplify]: Simplify (+ 1 0) into 1 5.943 * [backup-simplify]: Simplify (* 0 1) into 0 5.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.945 * [backup-simplify]: Simplify (+ 0 1) into 1 5.945 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.946 * [backup-simplify]: Simplify (sqrt 1) into 1 5.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.947 * [backup-simplify]: Simplify (+ 0 0) into 0 5.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.949 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.949 * [backup-simplify]: Simplify (log 1) into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.950 * [backup-simplify]: Simplify 1/2 into 1/2 5.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.952 * [backup-simplify]: Simplify (+ 0 0) into 0 5.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.953 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.955 * [backup-simplify]: Simplify -1/4 into -1/4 5.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.956 * [backup-simplify]: Simplify (+ 0 0) into 0 5.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.960 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.960 * [backup-simplify]: Simplify 1/6 into 1/6 5.960 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 5.961 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 5.961 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 5.961 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.961 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.961 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.961 * [taylor]: Taking taylor expansion of -1 in N 5.961 * [backup-simplify]: Simplify -1 into -1 5.961 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.961 * [taylor]: Taking taylor expansion of N in N 5.961 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify 1 into 1 5.961 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.961 * [taylor]: Taking taylor expansion of 1 in N 5.961 * [backup-simplify]: Simplify 1 into 1 5.961 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.961 * [taylor]: Taking taylor expansion of N in N 5.961 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify 1 into 1 5.961 * [backup-simplify]: Simplify (/ 1 1) into 1 5.961 * [backup-simplify]: Simplify (- 1) into -1 5.962 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.962 * [backup-simplify]: Simplify (* 0 -1) into 0 5.962 * [backup-simplify]: Simplify (* -1 0) into 0 5.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.963 * [backup-simplify]: Simplify (- 0) into 0 5.963 * [backup-simplify]: Simplify (+ 1 0) into 1 5.964 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.964 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.964 * [backup-simplify]: Simplify (sqrt 1) into 1 5.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.965 * [backup-simplify]: Simplify (- 0) into 0 5.965 * [backup-simplify]: Simplify (+ 0 0) into 0 5.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.971 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.972 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.972 * [backup-simplify]: Simplify (log 1) into 0 5.972 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.972 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.972 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.972 * [taylor]: Taking taylor expansion of -1 in N 5.972 * [backup-simplify]: Simplify -1 into -1 5.972 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.972 * [taylor]: Taking taylor expansion of N in N 5.972 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify 1 into 1 5.972 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.972 * [taylor]: Taking taylor expansion of 1 in N 5.972 * [backup-simplify]: Simplify 1 into 1 5.972 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.972 * [taylor]: Taking taylor expansion of N in N 5.972 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify 1 into 1 5.973 * [backup-simplify]: Simplify (/ 1 1) into 1 5.973 * [backup-simplify]: Simplify (- 1) into -1 5.973 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.973 * [backup-simplify]: Simplify (* 0 -1) into 0 5.974 * [backup-simplify]: Simplify (* -1 0) into 0 5.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.974 * [backup-simplify]: Simplify (- 0) into 0 5.975 * [backup-simplify]: Simplify (+ 1 0) into 1 5.975 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.975 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.976 * [backup-simplify]: Simplify (sqrt 1) into 1 5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.977 * [backup-simplify]: Simplify (- 0) into 0 5.977 * [backup-simplify]: Simplify (+ 0 0) into 0 5.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.978 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.978 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.979 * [backup-simplify]: Simplify (log 1) into 0 5.979 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 5.980 * [backup-simplify]: Simplify -1/2 into -1/2 5.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.980 * [backup-simplify]: Simplify (- 0) into 0 5.981 * [backup-simplify]: Simplify (+ 0 0) into 0 5.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.983 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.984 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.987 * [backup-simplify]: Simplify -1/4 into -1/4 5.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.989 * [backup-simplify]: Simplify (- 0) into 0 5.989 * [backup-simplify]: Simplify (+ 0 0) into 0 5.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.992 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 5.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 5.999 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 5.999 * [backup-simplify]: Simplify -1/6 into -1/6 6.000 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 6.000 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.000 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 6.000 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 6.000 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 6.000 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 6.000 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.000 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.000 * [taylor]: Taking taylor expansion of N in N 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [taylor]: Taking taylor expansion of 1 in N 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [taylor]: Taking taylor expansion of N in N 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.001 * [backup-simplify]: Simplify (+ 0 1) into 1 6.001 * [backup-simplify]: Simplify (/ 1 1) into 1 6.002 * [backup-simplify]: Simplify (sqrt 0) into 0 6.003 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.004 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.004 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 6.004 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 6.004 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.004 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.004 * [taylor]: Taking taylor expansion of N in N 6.004 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify 1 into 1 6.004 * [taylor]: Taking taylor expansion of 1 in N 6.004 * [backup-simplify]: Simplify 1 into 1 6.004 * [taylor]: Taking taylor expansion of N in N 6.004 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify 1 into 1 6.004 * [backup-simplify]: Simplify (+ 0 1) into 1 6.005 * [backup-simplify]: Simplify (/ 1 1) into 1 6.005 * [backup-simplify]: Simplify (sqrt 0) into 0 6.007 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.007 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.007 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.008 * [backup-simplify]: Simplify (+ 1 0) into 1 6.009 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.012 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.019 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.019 * [backup-simplify]: Simplify (+ 0 0) into 0 6.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 6.039 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.039 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 6.039 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 6.039 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 6.039 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 6.040 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 6.040 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.040 * [taylor]: Taking taylor expansion of N in N 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.040 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.040 * [taylor]: Taking taylor expansion of N in N 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (/ 1 1) into 1 6.040 * [taylor]: Taking taylor expansion of 1 in N 6.040 * [backup-simplify]: Simplify 1 into 1 6.041 * [backup-simplify]: Simplify (+ 1 0) into 1 6.041 * [backup-simplify]: Simplify (* 0 1) into 0 6.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.042 * [backup-simplify]: Simplify (+ 0 1) into 1 6.043 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.043 * [backup-simplify]: Simplify (sqrt 1) into 1 6.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (+ 0 0) into 0 6.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.046 * [backup-simplify]: Simplify (log 1) into 0 6.046 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 6.046 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 6.046 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.046 * [taylor]: Taking taylor expansion of N in N 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify 1 into 1 6.047 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.047 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.047 * [taylor]: Taking taylor expansion of N in N 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 1 into 1 6.047 * [backup-simplify]: Simplify (/ 1 1) into 1 6.047 * [taylor]: Taking taylor expansion of 1 in N 6.047 * [backup-simplify]: Simplify 1 into 1 6.047 * [backup-simplify]: Simplify (+ 1 0) into 1 6.048 * [backup-simplify]: Simplify (* 0 1) into 0 6.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.050 * [backup-simplify]: Simplify (+ 0 1) into 1 6.050 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.051 * [backup-simplify]: Simplify (sqrt 1) into 1 6.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.052 * [backup-simplify]: Simplify (+ 0 0) into 0 6.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.053 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.054 * [backup-simplify]: Simplify (log 1) into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 6.055 * [backup-simplify]: Simplify 1/2 into 1/2 6.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.057 * [backup-simplify]: Simplify (+ 0 0) into 0 6.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.059 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 6.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 6.061 * [backup-simplify]: Simplify -1/4 into -1/4 6.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.062 * [backup-simplify]: Simplify (+ 0 0) into 0 6.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 6.067 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 6.067 * [backup-simplify]: Simplify 1/6 into 1/6 6.067 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 6.067 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 6.067 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 6.067 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 6.067 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 6.067 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.067 * [taylor]: Taking taylor expansion of -1 in N 6.067 * [backup-simplify]: Simplify -1 into -1 6.067 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.067 * [taylor]: Taking taylor expansion of N in N 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 1 into 1 6.067 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.067 * [taylor]: Taking taylor expansion of 1 in N 6.067 * [backup-simplify]: Simplify 1 into 1 6.067 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.067 * [taylor]: Taking taylor expansion of N in N 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (/ 1 1) into 1 6.068 * [backup-simplify]: Simplify (- 1) into -1 6.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.068 * [backup-simplify]: Simplify (* 0 -1) into 0 6.069 * [backup-simplify]: Simplify (* -1 0) into 0 6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.069 * [backup-simplify]: Simplify (- 0) into 0 6.069 * [backup-simplify]: Simplify (+ 1 0) into 1 6.070 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.070 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.071 * [backup-simplify]: Simplify (sqrt 1) into 1 6.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.071 * [backup-simplify]: Simplify (- 0) into 0 6.072 * [backup-simplify]: Simplify (+ 0 0) into 0 6.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.073 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.073 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 6.073 * [backup-simplify]: Simplify (log 1) into 0 6.073 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 6.073 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 6.073 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.073 * [taylor]: Taking taylor expansion of -1 in N 6.073 * [backup-simplify]: Simplify -1 into -1 6.074 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.074 * [taylor]: Taking taylor expansion of N in N 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.074 * [taylor]: Taking taylor expansion of 1 in N 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.074 * [taylor]: Taking taylor expansion of N in N 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [backup-simplify]: Simplify (/ 1 1) into 1 6.074 * [backup-simplify]: Simplify (- 1) into -1 6.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.075 * [backup-simplify]: Simplify (* 0 -1) into 0 6.075 * [backup-simplify]: Simplify (* -1 0) into 0 6.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.076 * [backup-simplify]: Simplify (- 0) into 0 6.076 * [backup-simplify]: Simplify (+ 1 0) into 1 6.076 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.077 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.077 * [backup-simplify]: Simplify (sqrt 1) into 1 6.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.078 * [backup-simplify]: Simplify (- 0) into 0 6.078 * [backup-simplify]: Simplify (+ 0 0) into 0 6.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.079 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.080 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 6.080 * [backup-simplify]: Simplify (log 1) into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 6.081 * [backup-simplify]: Simplify -1/2 into -1/2 6.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (- 0) into 0 6.082 * [backup-simplify]: Simplify (+ 0 0) into 0 6.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.083 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.084 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 6.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 6.086 * [backup-simplify]: Simplify -1/4 into -1/4 6.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (- 0) into 0 6.087 * [backup-simplify]: Simplify (+ 0 0) into 0 6.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 6.101 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 6.101 * [backup-simplify]: Simplify -1/6 into -1/6 6.101 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 6.102 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.102 * [backup-simplify]: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 6.102 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 6.102 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 6.102 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.102 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.102 * [taylor]: Taking taylor expansion of N in N 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 1 into 1 6.102 * [taylor]: Taking taylor expansion of 1 in N 6.102 * [backup-simplify]: Simplify 1 into 1 6.102 * [taylor]: Taking taylor expansion of N in N 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 1 into 1 6.103 * [backup-simplify]: Simplify (+ 0 1) into 1 6.103 * [backup-simplify]: Simplify (/ 1 1) into 1 6.103 * [backup-simplify]: Simplify (sqrt 0) into 0 6.105 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.105 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 6.105 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.105 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.105 * [taylor]: Taking taylor expansion of N in N 6.105 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify 1 into 1 6.105 * [taylor]: Taking taylor expansion of 1 in N 6.105 * [backup-simplify]: Simplify 1 into 1 6.105 * [taylor]: Taking taylor expansion of N in N 6.105 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify 1 into 1 6.106 * [backup-simplify]: Simplify (+ 0 1) into 1 6.106 * [backup-simplify]: Simplify (/ 1 1) into 1 6.106 * [backup-simplify]: Simplify (sqrt 0) into 0 6.108 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.108 * [backup-simplify]: Simplify (+ 1 0) into 1 6.109 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.112 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.112 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.113 * [backup-simplify]: Simplify (+ 0 0) into 0 6.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.117 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.117 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 6.118 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 6.118 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 6.118 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 6.118 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.118 * [taylor]: Taking taylor expansion of N in N 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.118 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.118 * [taylor]: Taking taylor expansion of N in N 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [backup-simplify]: Simplify (/ 1 1) into 1 6.118 * [taylor]: Taking taylor expansion of 1 in N 6.118 * [backup-simplify]: Simplify 1 into 1 6.119 * [backup-simplify]: Simplify (+ 1 0) into 1 6.119 * [backup-simplify]: Simplify (* 0 1) into 0 6.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.120 * [backup-simplify]: Simplify (+ 0 1) into 1 6.121 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.121 * [backup-simplify]: Simplify (sqrt 1) into 1 6.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.123 * [backup-simplify]: Simplify (+ 0 0) into 0 6.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.124 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 6.124 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.124 * [taylor]: Taking taylor expansion of N in N 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 1 into 1 6.124 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.124 * [taylor]: Taking taylor expansion of N in N 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 1 into 1 6.125 * [backup-simplify]: Simplify (/ 1 1) into 1 6.125 * [taylor]: Taking taylor expansion of 1 in N 6.125 * [backup-simplify]: Simplify 1 into 1 6.125 * [backup-simplify]: Simplify (+ 1 0) into 1 6.126 * [backup-simplify]: Simplify (* 0 1) into 0 6.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.127 * [backup-simplify]: Simplify (+ 0 1) into 1 6.127 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.128 * [backup-simplify]: Simplify (sqrt 1) into 1 6.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (+ 0 0) into 0 6.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.130 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.130 * [backup-simplify]: Simplify 1 into 1 6.131 * [backup-simplify]: Simplify 1/2 into 1/2 6.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.132 * [backup-simplify]: Simplify (+ 0 0) into 0 6.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.134 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 6.134 * [backup-simplify]: Simplify -1/8 into -1/8 6.134 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 6.134 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 6.134 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 6.134 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 6.134 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.134 * [taylor]: Taking taylor expansion of -1 in N 6.134 * [backup-simplify]: Simplify -1 into -1 6.134 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.134 * [taylor]: Taking taylor expansion of N in N 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 1 into 1 6.134 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.134 * [taylor]: Taking taylor expansion of 1 in N 6.135 * [backup-simplify]: Simplify 1 into 1 6.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.135 * [taylor]: Taking taylor expansion of N in N 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify 1 into 1 6.135 * [backup-simplify]: Simplify (/ 1 1) into 1 6.135 * [backup-simplify]: Simplify (- 1) into -1 6.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.136 * [backup-simplify]: Simplify (* 0 -1) into 0 6.136 * [backup-simplify]: Simplify (* -1 0) into 0 6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.138 * [backup-simplify]: Simplify (- 0) into 0 6.138 * [backup-simplify]: Simplify (+ 1 0) into 1 6.139 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.139 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.139 * [backup-simplify]: Simplify (sqrt 1) into 1 6.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (- 0) into 0 6.141 * [backup-simplify]: Simplify (+ 0 0) into 0 6.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.143 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.143 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 6.143 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 6.143 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.143 * [taylor]: Taking taylor expansion of -1 in N 6.143 * [backup-simplify]: Simplify -1 into -1 6.144 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.144 * [taylor]: Taking taylor expansion of N in N 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.144 * [taylor]: Taking taylor expansion of 1 in N 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.144 * [taylor]: Taking taylor expansion of N in N 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [backup-simplify]: Simplify (/ 1 1) into 1 6.144 * [backup-simplify]: Simplify (- 1) into -1 6.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.145 * [backup-simplify]: Simplify (* 0 -1) into 0 6.146 * [backup-simplify]: Simplify (* -1 0) into 0 6.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.147 * [backup-simplify]: Simplify (- 0) into 0 6.147 * [backup-simplify]: Simplify (+ 1 0) into 1 6.148 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.148 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.149 * [backup-simplify]: Simplify (sqrt 1) into 1 6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (- 0) into 0 6.150 * [backup-simplify]: Simplify (+ 0 0) into 0 6.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.151 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.151 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 6.151 * [backup-simplify]: Simplify 1 into 1 6.151 * [backup-simplify]: Simplify -1/2 into -1/2 6.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (- 0) into 0 6.153 * [backup-simplify]: Simplify (+ 0 0) into 0 6.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.154 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.155 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 6.155 * [backup-simplify]: Simplify -1/8 into -1/8 6.155 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 6.155 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 6.155 * [backup-simplify]: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 6.155 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 6.155 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 6.155 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.155 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.155 * [taylor]: Taking taylor expansion of N in N 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [taylor]: Taking taylor expansion of 1 in N 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [taylor]: Taking taylor expansion of N in N 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.156 * [backup-simplify]: Simplify (+ 0 1) into 1 6.156 * [backup-simplify]: Simplify (/ 1 1) into 1 6.156 * [backup-simplify]: Simplify (sqrt 0) into 0 6.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.157 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 6.157 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.157 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.157 * [taylor]: Taking taylor expansion of N in N 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.157 * [taylor]: Taking taylor expansion of 1 in N 6.157 * [backup-simplify]: Simplify 1 into 1 6.157 * [taylor]: Taking taylor expansion of N in N 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.157 * [backup-simplify]: Simplify (+ 0 1) into 1 6.158 * [backup-simplify]: Simplify (/ 1 1) into 1 6.158 * [backup-simplify]: Simplify (sqrt 0) into 0 6.159 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.159 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.159 * [backup-simplify]: Simplify (+ 1 0) into 1 6.160 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.162 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.162 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.162 * [backup-simplify]: Simplify (+ 0 0) into 0 6.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.165 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.165 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 6.165 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 6.165 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 6.165 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 6.165 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.165 * [taylor]: Taking taylor expansion of N in N 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify 1 into 1 6.165 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.165 * [taylor]: Taking taylor expansion of N in N 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify 1 into 1 6.165 * [backup-simplify]: Simplify (/ 1 1) into 1 6.165 * [taylor]: Taking taylor expansion of 1 in N 6.165 * [backup-simplify]: Simplify 1 into 1 6.166 * [backup-simplify]: Simplify (+ 1 0) into 1 6.166 * [backup-simplify]: Simplify (* 0 1) into 0 6.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (+ 0 1) into 1 6.167 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.167 * [backup-simplify]: Simplify (sqrt 1) into 1 6.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.168 * [backup-simplify]: Simplify (+ 0 0) into 0 6.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.169 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.169 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 6.169 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.169 * [taylor]: Taking taylor expansion of N in N 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify 1 into 1 6.169 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.169 * [taylor]: Taking taylor expansion of N in N 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify 1 into 1 6.169 * [backup-simplify]: Simplify (/ 1 1) into 1 6.169 * [taylor]: Taking taylor expansion of 1 in N 6.169 * [backup-simplify]: Simplify 1 into 1 6.170 * [backup-simplify]: Simplify (+ 1 0) into 1 6.170 * [backup-simplify]: Simplify (* 0 1) into 0 6.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.171 * [backup-simplify]: Simplify (+ 0 1) into 1 6.171 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.171 * [backup-simplify]: Simplify (sqrt 1) into 1 6.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.172 * [backup-simplify]: Simplify (+ 0 0) into 0 6.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.173 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.173 * [backup-simplify]: Simplify 1 into 1 6.173 * [backup-simplify]: Simplify 1/2 into 1/2 6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.174 * [backup-simplify]: Simplify (+ 0 0) into 0 6.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 6.175 * [backup-simplify]: Simplify -1/8 into -1/8 6.175 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 6.176 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 6.176 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 6.176 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 6.176 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.176 * [taylor]: Taking taylor expansion of -1 in N 6.176 * [backup-simplify]: Simplify -1 into -1 6.176 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.176 * [taylor]: Taking taylor expansion of N in N 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 1 into 1 6.176 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.176 * [taylor]: Taking taylor expansion of 1 in N 6.176 * [backup-simplify]: Simplify 1 into 1 6.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.176 * [taylor]: Taking taylor expansion of N in N 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 1 into 1 6.176 * [backup-simplify]: Simplify (/ 1 1) into 1 6.176 * [backup-simplify]: Simplify (- 1) into -1 6.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.177 * [backup-simplify]: Simplify (* 0 -1) into 0 6.177 * [backup-simplify]: Simplify (* -1 0) into 0 6.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.178 * [backup-simplify]: Simplify (- 0) into 0 6.178 * [backup-simplify]: Simplify (+ 1 0) into 1 6.179 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.179 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.179 * [backup-simplify]: Simplify (sqrt 1) into 1 6.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.180 * [backup-simplify]: Simplify (- 0) into 0 6.180 * [backup-simplify]: Simplify (+ 0 0) into 0 6.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.182 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.183 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 6.183 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 6.183 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.183 * [taylor]: Taking taylor expansion of -1 in N 6.183 * [backup-simplify]: Simplify -1 into -1 6.183 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.183 * [taylor]: Taking taylor expansion of N in N 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 1 into 1 6.183 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.183 * [taylor]: Taking taylor expansion of 1 in N 6.183 * [backup-simplify]: Simplify 1 into 1 6.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.183 * [taylor]: Taking taylor expansion of N in N 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 1 into 1 6.184 * [backup-simplify]: Simplify (/ 1 1) into 1 6.184 * [backup-simplify]: Simplify (- 1) into -1 6.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.185 * [backup-simplify]: Simplify (* 0 -1) into 0 6.185 * [backup-simplify]: Simplify (* -1 0) into 0 6.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.186 * [backup-simplify]: Simplify (- 0) into 0 6.187 * [backup-simplify]: Simplify (+ 1 0) into 1 6.187 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.188 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.188 * [backup-simplify]: Simplify (sqrt 1) into 1 6.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.190 * [backup-simplify]: Simplify (- 0) into 0 6.190 * [backup-simplify]: Simplify (+ 0 0) into 0 6.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.192 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.193 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 6.193 * [backup-simplify]: Simplify 1 into 1 6.193 * [backup-simplify]: Simplify -1/2 into -1/2 6.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.194 * [backup-simplify]: Simplify (- 0) into 0 6.194 * [backup-simplify]: Simplify (+ 0 0) into 0 6.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.197 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.198 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 6.198 * [backup-simplify]: Simplify -1/8 into -1/8 6.198 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 6.199 * * * [progress]: simplifying candidates 6.199 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 6.199 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 16 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 6.200 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 32 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 34 / 142 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ 1 N) N)))))))> 6.201 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 39 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 6.201 * * * * [progress]: [ 46 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 6.202 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 68 / 142 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N)))))> 6.203 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 6.203 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 6.204 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 99 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ 1 N) N)))))))> 6.205 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 110 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 6.205 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 129 / 142 ] simplifiying candidate # 6.206 * * * * [progress]: [ 130 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N)))))> 6.206 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 6.207 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 6.207 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 6.207 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 6.207 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 6.207 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 6.207 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 6.207 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 6.207 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 6.207 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 6.207 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 6.207 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 6.209 * [simplify]: Simplifying: (expm1 (log (sqrt (/ (+ 1 N) N)))) (log1p (log (sqrt (/ (+ 1 N) N)))) (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) (log (sqrt (cbrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1))) (log (sqrt (/ (cbrt (+ 1 N)) N))) (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) 1))) (log (sqrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log 1) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt N)) (log (/ (+ 1 N) N)) (log (sqrt (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (log (sqrt (/ (+ 1 N) N)))) (exp (log (sqrt (/ (+ 1 N) N)))) (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N)))) (* (* (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N)))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (real->posit16 (log (sqrt (/ (+ 1 N) N)))) (expm1 (log (sqrt (/ (+ 1 N) N)))) (log1p (log (sqrt (/ (+ 1 N) N)))) (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) (log (sqrt (cbrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1))) (log (sqrt (/ (cbrt (+ 1 N)) N))) (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) 1))) (log (sqrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log 1) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt N)) (log (/ (+ 1 N) N)) (log (sqrt (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (log (sqrt (/ (+ 1 N) N)))) (exp (log (sqrt (/ (+ 1 N) N)))) (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N)))) (* (* (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N)))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (real->posit16 (log (sqrt (/ (+ 1 N) N)))) (expm1 (sqrt (/ (+ 1 N) N))) (log1p (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (exp (sqrt (/ (+ 1 N) N))) (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N)))) (cbrt (sqrt (/ (+ 1 N) N))) (* (* (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N))) (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (sqrt (cbrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (sqrt (/ (cbrt (+ 1 N)) (sqrt N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (sqrt (/ (cbrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) (* 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(real->posit16 (sqrt (/ (+ 1 N) N))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 6.211 * * [simplify]: iteration 0: 128 enodes 6.243 * * [simplify]: iteration 1: 211 enodes 6.308 * * [simplify]: iteration 2: 457 enodes 6.477 * * [simplify]: iteration 3: 1176 enodes 7.401 * * [simplify]: iteration 4: 3510 enodes 8.799 * * [simplify]: iteration complete: 5003 enodes 8.799 * * [simplify]: Extracting #0: cost 69 inf + 0 8.800 * * [simplify]: Extracting #1: cost 303 inf + 3 8.804 * * [simplify]: Extracting #2: cost 901 inf + 676 8.823 * * [simplify]: Extracting #3: cost 674 inf + 32840 8.881 * * [simplify]: Extracting #4: cost 226 inf + 94876 8.942 * * [simplify]: Extracting #5: cost 69 inf + 137199 9.008 * * [simplify]: Extracting #6: cost 3 inf + 157835 9.043 * * [simplify]: Extracting #7: cost 0 inf + 158634 9.103 * [simplify]: Simplified to: (expm1 (log (sqrt (/ (+ N 1) N)))) (log1p (log (sqrt (/ (+ N 1) N)))) (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (fabs (/ (cbrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1)))))) (log (sqrt 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(sqrt (/ (sqrt (+ N 1)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) 1 (sqrt (/ (+ N 1) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) 1 (sqrt (/ (+ N 1) N)) 1 (sqrt (/ (+ N 1) N)) (sqrt (+ N 1)) (sqrt (/ 1 N)) (sqrt (+ N 1)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (real->posit16 (sqrt (/ (+ N 1) N))) (fma N (* N +nan.0) (- (log +nan.0) (* N +nan.0))) (+ (+ (/ 1/2 N) (/ (/ 1/6 N) (* N N))) (/ -1/4 (* N N))) (+ (+ (/ 1/2 N) (/ (/ 1/6 N) (* N N))) (/ -1/4 (* N N))) (fma N (* N +nan.0) (- (log +nan.0) (* N +nan.0))) (+ (+ (/ 1/2 N) (/ (/ 1/6 N) (* N N))) (/ -1/4 (* N N))) (+ (+ (/ 1/2 N) (/ (/ 1/6 N) (* N N))) (/ -1/4 (* N N))) (- (- (* (* +nan.0 N) N) (* +nan.0 N)) +nan.0) (+ (/ 1/2 N) (- 1 (/ (/ 1/8 N) N))) (+ (/ 1/2 N) (- 1 (/ (/ 1/8 N) N))) (- (- (* (* +nan.0 N) N) (* +nan.0 N)) +nan.0) (+ (/ 1/2 N) (- 1 (/ (/ 1/8 N) N))) (+ (/ 1/2 N) (- 1 (/ (/ 1/8 N) N))) 9.125 * * * [progress]: adding candidates to table 9.895 * * [progress]: iteration 4 / 4 9.895 * * * [progress]: picking best candidate 9.915 * * * * [pick]: Picked # 9.915 * * * [progress]: localizing error 9.942 * * * [progress]: generating rewritten candidates 9.942 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.947 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 9.950 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.960 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 9.991 * * * [progress]: generating series expansions 9.991 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.991 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 9.991 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 9.991 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.991 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.991 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.991 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.992 * [taylor]: Taking taylor expansion of N in N 9.992 * [backup-simplify]: Simplify 0 into 0 9.992 * [backup-simplify]: Simplify 1 into 1 9.992 * [taylor]: Taking taylor expansion of 1 in N 9.992 * [backup-simplify]: Simplify 1 into 1 9.992 * [taylor]: Taking taylor expansion of N in N 9.992 * [backup-simplify]: Simplify 0 into 0 9.992 * [backup-simplify]: Simplify 1 into 1 9.993 * [backup-simplify]: Simplify (+ 0 1) into 1 9.993 * [backup-simplify]: Simplify (/ 1 1) into 1 9.993 * [backup-simplify]: Simplify (sqrt 0) into 0 9.995 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.995 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.995 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.995 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.995 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.995 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.995 * [taylor]: Taking taylor expansion of N in N 9.995 * [backup-simplify]: Simplify 0 into 0 9.995 * [backup-simplify]: Simplify 1 into 1 9.995 * [taylor]: Taking taylor expansion of 1 in N 9.995 * [backup-simplify]: Simplify 1 into 1 9.995 * [taylor]: Taking taylor expansion of N in N 9.995 * [backup-simplify]: Simplify 0 into 0 9.996 * [backup-simplify]: Simplify 1 into 1 9.996 * [backup-simplify]: Simplify (+ 0 1) into 1 9.996 * [backup-simplify]: Simplify (/ 1 1) into 1 9.997 * [backup-simplify]: Simplify (sqrt 0) into 0 9.998 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.998 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.999 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.999 * [backup-simplify]: Simplify (+ 1 0) into 1 10.000 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 10.003 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.010 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.010 * [backup-simplify]: Simplify (+ 0 0) into 0 10.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 10.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.030 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 10.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.030 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 10.031 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 10.031 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 10.031 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 10.031 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 10.031 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 10.031 * [taylor]: Taking taylor expansion of N in N 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.031 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.031 * [taylor]: Taking taylor expansion of N in N 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [backup-simplify]: Simplify (/ 1 1) into 1 10.031 * [taylor]: Taking taylor expansion of 1 in N 10.031 * [backup-simplify]: Simplify 1 into 1 10.032 * [backup-simplify]: Simplify (+ 1 0) into 1 10.032 * [backup-simplify]: Simplify (* 0 1) into 0 10.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.034 * [backup-simplify]: Simplify (+ 0 1) into 1 10.035 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 10.035 * [backup-simplify]: Simplify (sqrt 1) into 1 10.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.037 * [backup-simplify]: Simplify (+ 0 0) into 0 10.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 10.038 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.039 * [backup-simplify]: Simplify (log 1) into 0 10.039 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 10.039 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 10.039 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 10.039 * [taylor]: Taking taylor expansion of N in N 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify 1 into 1 10.039 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.039 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.039 * [taylor]: Taking taylor expansion of N in N 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify 1 into 1 10.039 * [backup-simplify]: Simplify (/ 1 1) into 1 10.039 * [taylor]: Taking taylor expansion of 1 in N 10.039 * [backup-simplify]: Simplify 1 into 1 10.040 * [backup-simplify]: Simplify (+ 1 0) into 1 10.040 * [backup-simplify]: Simplify (* 0 1) into 0 10.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.042 * [backup-simplify]: Simplify (+ 0 1) into 1 10.042 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 10.043 * [backup-simplify]: Simplify (sqrt 1) into 1 10.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.044 * [backup-simplify]: Simplify (+ 0 0) into 0 10.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 10.045 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.046 * [backup-simplify]: Simplify (log 1) into 0 10.046 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 10.047 * [backup-simplify]: Simplify 1/2 into 1/2 10.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.049 * [backup-simplify]: Simplify (+ 0 0) into 0 10.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 10.051 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 10.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 10.055 * [backup-simplify]: Simplify -1/4 into -1/4 10.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.062 * [backup-simplify]: Simplify (+ 0 0) into 0 10.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 10.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 10.070 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 10.070 * [backup-simplify]: Simplify 1/6 into 1/6 10.071 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 10.071 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 10.071 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 10.071 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 10.071 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 10.071 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 10.071 * [taylor]: Taking taylor expansion of -1 in N 10.071 * [backup-simplify]: Simplify -1 into -1 10.071 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 10.071 * [taylor]: Taking taylor expansion of N in N 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 1 into 1 10.071 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.071 * [taylor]: Taking taylor expansion of 1 in N 10.071 * [backup-simplify]: Simplify 1 into 1 10.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.071 * [taylor]: Taking taylor expansion of N in N 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 1 into 1 10.072 * [backup-simplify]: Simplify (/ 1 1) into 1 10.072 * [backup-simplify]: Simplify (- 1) into -1 10.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.073 * [backup-simplify]: Simplify (* 0 -1) into 0 10.073 * [backup-simplify]: Simplify (* -1 0) into 0 10.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.075 * [backup-simplify]: Simplify (- 0) into 0 10.075 * [backup-simplify]: Simplify (+ 1 0) into 1 10.076 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 10.076 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.077 * [backup-simplify]: Simplify (sqrt 1) into 1 10.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.078 * [backup-simplify]: Simplify (- 0) into 0 10.078 * [backup-simplify]: Simplify (+ 0 0) into 0 10.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 10.080 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 10.081 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 10.082 * [backup-simplify]: Simplify (log 1) into 0 10.082 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 10.082 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 10.082 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 10.082 * [taylor]: Taking taylor expansion of -1 in N 10.082 * [backup-simplify]: Simplify -1 into -1 10.082 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 10.082 * [taylor]: Taking taylor expansion of N in N 10.082 * [backup-simplify]: Simplify 0 into 0 10.082 * [backup-simplify]: Simplify 1 into 1 10.082 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.082 * [taylor]: Taking taylor expansion of 1 in N 10.082 * [backup-simplify]: Simplify 1 into 1 10.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.082 * [taylor]: Taking taylor expansion of N in N 10.082 * [backup-simplify]: Simplify 0 into 0 10.082 * [backup-simplify]: Simplify 1 into 1 10.082 * [backup-simplify]: Simplify (/ 1 1) into 1 10.083 * [backup-simplify]: Simplify (- 1) into -1 10.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.084 * [backup-simplify]: Simplify (* 0 -1) into 0 10.084 * [backup-simplify]: Simplify (* -1 0) into 0 10.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.086 * [backup-simplify]: Simplify (- 0) into 0 10.086 * [backup-simplify]: Simplify (+ 1 0) into 1 10.087 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 10.087 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.088 * [backup-simplify]: Simplify (sqrt 1) into 1 10.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.089 * [backup-simplify]: Simplify (- 0) into 0 10.089 * [backup-simplify]: Simplify (+ 0 0) into 0 10.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 10.091 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 10.092 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 10.092 * [backup-simplify]: Simplify (log 1) into 0 10.093 * [backup-simplify]: Simplify 0 into 0 10.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 10.094 * [backup-simplify]: Simplify -1/2 into -1/2 10.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.095 * [backup-simplify]: Simplify (- 0) into 0 10.096 * [backup-simplify]: Simplify (+ 0 0) into 0 10.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 10.098 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 10.099 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 10.103 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 10.103 * [backup-simplify]: Simplify -1/4 into -1/4 10.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.104 * [backup-simplify]: Simplify (- 0) into 0 10.104 * [backup-simplify]: Simplify (+ 0 0) into 0 10.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 10.108 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 10.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 10.115 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 10.115 * [backup-simplify]: Simplify -1/6 into -1/6 10.116 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 10.116 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 10.116 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 10.116 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 10.116 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 10.116 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 10.116 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.116 * [taylor]: Taking taylor expansion of N in N 10.116 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify 1 into 1 10.116 * [taylor]: Taking taylor expansion of 1 in N 10.116 * [backup-simplify]: Simplify 1 into 1 10.116 * [taylor]: Taking taylor expansion of N in N 10.116 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify 1 into 1 10.117 * [backup-simplify]: Simplify (+ 0 1) into 1 10.117 * [backup-simplify]: Simplify (/ 1 1) into 1 10.118 * [backup-simplify]: Simplify (log 1) into 0 10.118 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 10.118 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 10.118 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.118 * [taylor]: Taking taylor expansion of N in N 10.118 * [backup-simplify]: Simplify 0 into 0 10.118 * [backup-simplify]: Simplify 1 into 1 10.118 * [taylor]: Taking taylor expansion of 1 in N 10.118 * [backup-simplify]: Simplify 1 into 1 10.118 * [taylor]: Taking taylor expansion of N in N 10.118 * [backup-simplify]: Simplify 0 into 0 10.118 * [backup-simplify]: Simplify 1 into 1 10.118 * [backup-simplify]: Simplify (+ 0 1) into 1 10.119 * [backup-simplify]: Simplify (/ 1 1) into 1 10.119 * [backup-simplify]: Simplify (log 1) into 0 10.120 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.120 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 10.120 * [backup-simplify]: Simplify (+ 1 0) into 1 10.121 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 10.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.122 * [backup-simplify]: Simplify 1 into 1 10.123 * [backup-simplify]: Simplify (+ 0 0) into 0 10.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 10.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.127 * [backup-simplify]: Simplify -1/2 into -1/2 10.127 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 10.127 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 10.127 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 10.127 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 10.127 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 10.127 * [taylor]: Taking taylor expansion of N in N 10.127 * [backup-simplify]: Simplify 0 into 0 10.127 * [backup-simplify]: Simplify 1 into 1 10.127 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.127 * [taylor]: Taking taylor expansion of N in N 10.127 * [backup-simplify]: Simplify 0 into 0 10.127 * [backup-simplify]: Simplify 1 into 1 10.128 * [backup-simplify]: Simplify (/ 1 1) into 1 10.128 * [taylor]: Taking taylor expansion of 1 in N 10.128 * [backup-simplify]: Simplify 1 into 1 10.128 * [backup-simplify]: Simplify (+ 1 0) into 1 10.129 * [backup-simplify]: Simplify (* 0 1) into 0 10.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.130 * [backup-simplify]: Simplify (+ 0 1) into 1 10.131 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 10.131 * [backup-simplify]: Simplify (log 1) into 0 10.131 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 10.131 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 10.131 * [taylor]: Taking taylor expansion of N in N 10.131 * [backup-simplify]: Simplify 0 into 0 10.131 * [backup-simplify]: Simplify 1 into 1 10.131 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.131 * [taylor]: Taking taylor expansion of N in N 10.131 * [backup-simplify]: Simplify 0 into 0 10.131 * [backup-simplify]: Simplify 1 into 1 10.132 * [backup-simplify]: Simplify (/ 1 1) into 1 10.132 * [taylor]: Taking taylor expansion of 1 in N 10.132 * [backup-simplify]: Simplify 1 into 1 10.132 * [backup-simplify]: Simplify (+ 1 0) into 1 10.133 * [backup-simplify]: Simplify (* 0 1) into 0 10.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.134 * [backup-simplify]: Simplify (+ 0 1) into 1 10.135 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 10.135 * [backup-simplify]: Simplify (log 1) into 0 10.135 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.137 * [backup-simplify]: Simplify (+ 0 0) into 0 10.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 10.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.140 * [backup-simplify]: Simplify 1 into 1 10.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.141 * [backup-simplify]: Simplify (+ 0 0) into 0 10.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 10.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.145 * [backup-simplify]: Simplify -1/2 into -1/2 10.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.147 * [backup-simplify]: Simplify (+ 0 0) into 0 10.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 10.154 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 10.154 * [backup-simplify]: Simplify 1/3 into 1/3 10.154 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 10.155 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 10.155 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 10.155 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 10.155 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 10.155 * [taylor]: Taking taylor expansion of -1 in N 10.155 * [backup-simplify]: Simplify -1 into -1 10.155 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 10.155 * [taylor]: Taking taylor expansion of N in N 10.155 * [backup-simplify]: Simplify 0 into 0 10.155 * [backup-simplify]: Simplify 1 into 1 10.155 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.155 * [taylor]: Taking taylor expansion of 1 in N 10.155 * [backup-simplify]: Simplify 1 into 1 10.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.155 * [taylor]: Taking taylor expansion of N in N 10.155 * [backup-simplify]: Simplify 0 into 0 10.155 * [backup-simplify]: Simplify 1 into 1 10.156 * [backup-simplify]: Simplify (/ 1 1) into 1 10.156 * [backup-simplify]: Simplify (- 1) into -1 10.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.157 * [backup-simplify]: Simplify (* 0 -1) into 0 10.158 * [backup-simplify]: Simplify (* -1 0) into 0 10.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.159 * [backup-simplify]: Simplify (- 0) into 0 10.159 * [backup-simplify]: Simplify (+ 1 0) into 1 10.160 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 10.161 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.161 * [backup-simplify]: Simplify (log 1) into 0 10.161 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 10.161 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 10.161 * [taylor]: Taking taylor expansion of -1 in N 10.161 * [backup-simplify]: Simplify -1 into -1 10.161 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 10.161 * [taylor]: Taking taylor expansion of N in N 10.161 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify 1 into 1 10.161 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.161 * [taylor]: Taking taylor expansion of 1 in N 10.161 * [backup-simplify]: Simplify 1 into 1 10.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.162 * [taylor]: Taking taylor expansion of N in N 10.162 * [backup-simplify]: Simplify 0 into 0 10.162 * [backup-simplify]: Simplify 1 into 1 10.162 * [backup-simplify]: Simplify (/ 1 1) into 1 10.162 * [backup-simplify]: Simplify (- 1) into -1 10.163 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.163 * [backup-simplify]: Simplify (* 0 -1) into 0 10.164 * [backup-simplify]: Simplify (* -1 0) into 0 10.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.165 * [backup-simplify]: Simplify (- 0) into 0 10.165 * [backup-simplify]: Simplify (+ 1 0) into 1 10.166 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 10.167 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.167 * [backup-simplify]: Simplify (log 1) into 0 10.167 * [backup-simplify]: Simplify 0 into 0 10.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.169 * [backup-simplify]: Simplify (- 0) into 0 10.170 * [backup-simplify]: Simplify (+ 0 0) into 0 10.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 10.172 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 10.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 10.174 * [backup-simplify]: Simplify -1 into -1 10.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.175 * [backup-simplify]: Simplify (- 0) into 0 10.176 * [backup-simplify]: Simplify (+ 0 0) into 0 10.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 10.179 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 10.181 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.182 * [backup-simplify]: Simplify -1/2 into -1/2 10.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.183 * [backup-simplify]: Simplify (- 0) into 0 10.183 * [backup-simplify]: Simplify (+ 0 0) into 0 10.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 10.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 10.191 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 10.191 * [backup-simplify]: Simplify -1/3 into -1/3 10.192 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 10.192 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 10.192 * [backup-simplify]: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 10.192 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 10.192 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 10.192 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 10.192 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.192 * [taylor]: Taking taylor expansion of N in N 10.192 * [backup-simplify]: Simplify 0 into 0 10.192 * [backup-simplify]: Simplify 1 into 1 10.192 * [taylor]: Taking taylor expansion of 1 in N 10.192 * [backup-simplify]: Simplify 1 into 1 10.192 * [taylor]: Taking taylor expansion of N in N 10.192 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify 1 into 1 10.193 * [backup-simplify]: Simplify (+ 0 1) into 1 10.193 * [backup-simplify]: Simplify (/ 1 1) into 1 10.194 * [backup-simplify]: Simplify (sqrt 0) into 0 10.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.196 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 10.196 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 10.196 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.196 * [taylor]: Taking taylor expansion of N in N 10.196 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify 1 into 1 10.196 * [taylor]: Taking taylor expansion of 1 in N 10.196 * [backup-simplify]: Simplify 1 into 1 10.196 * [taylor]: Taking taylor expansion of N in N 10.196 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify 1 into 1 10.196 * [backup-simplify]: Simplify (+ 0 1) into 1 10.197 * [backup-simplify]: Simplify (/ 1 1) into 1 10.197 * [backup-simplify]: Simplify (sqrt 0) into 0 10.198 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.199 * [backup-simplify]: Simplify 0 into 0 10.199 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.199 * [backup-simplify]: Simplify (+ 1 0) into 1 10.200 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 10.203 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.203 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.203 * [backup-simplify]: Simplify (+ 0 0) into 0 10.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 10.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.209 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.209 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 10.209 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 10.209 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 10.209 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 10.209 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 10.209 * [taylor]: Taking taylor expansion of N in N 10.209 * [backup-simplify]: Simplify 0 into 0 10.209 * [backup-simplify]: Simplify 1 into 1 10.209 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.209 * [taylor]: Taking taylor expansion of N in N 10.209 * [backup-simplify]: Simplify 0 into 0 10.209 * [backup-simplify]: Simplify 1 into 1 10.210 * [backup-simplify]: Simplify (/ 1 1) into 1 10.210 * [taylor]: Taking taylor expansion of 1 in N 10.210 * [backup-simplify]: Simplify 1 into 1 10.210 * [backup-simplify]: Simplify (+ 1 0) into 1 10.211 * [backup-simplify]: Simplify (* 0 1) into 0 10.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.212 * [backup-simplify]: Simplify (+ 0 1) into 1 10.213 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 10.213 * [backup-simplify]: Simplify (sqrt 1) into 1 10.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.220 * [backup-simplify]: Simplify (+ 0 0) into 0 10.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 10.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.222 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 10.222 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 10.222 * [taylor]: Taking taylor expansion of N in N 10.222 * [backup-simplify]: Simplify 0 into 0 10.222 * [backup-simplify]: Simplify 1 into 1 10.222 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.222 * [taylor]: Taking taylor expansion of N in N 10.222 * [backup-simplify]: Simplify 0 into 0 10.222 * [backup-simplify]: Simplify 1 into 1 10.222 * [backup-simplify]: Simplify (/ 1 1) into 1 10.222 * [taylor]: Taking taylor expansion of 1 in N 10.222 * [backup-simplify]: Simplify 1 into 1 10.223 * [backup-simplify]: Simplify (+ 1 0) into 1 10.223 * [backup-simplify]: Simplify (* 0 1) into 0 10.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.224 * [backup-simplify]: Simplify (+ 0 1) into 1 10.225 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 10.226 * [backup-simplify]: Simplify (sqrt 1) into 1 10.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.227 * [backup-simplify]: Simplify (+ 0 0) into 0 10.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 10.228 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.228 * [backup-simplify]: Simplify 1 into 1 10.229 * [backup-simplify]: Simplify 1/2 into 1/2 10.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.230 * [backup-simplify]: Simplify (+ 0 0) into 0 10.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 10.232 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 10.232 * [backup-simplify]: Simplify -1/8 into -1/8 10.232 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 10.233 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 10.233 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 10.233 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 10.233 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 10.233 * [taylor]: Taking taylor expansion of -1 in N 10.233 * [backup-simplify]: Simplify -1 into -1 10.233 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 10.233 * [taylor]: Taking taylor expansion of N in N 10.233 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify 1 into 1 10.233 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.233 * [taylor]: Taking taylor expansion of 1 in N 10.233 * [backup-simplify]: Simplify 1 into 1 10.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.233 * [taylor]: Taking taylor expansion of N in N 10.233 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify 1 into 1 10.234 * [backup-simplify]: Simplify (/ 1 1) into 1 10.234 * [backup-simplify]: Simplify (- 1) into -1 10.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.235 * [backup-simplify]: Simplify (* 0 -1) into 0 10.235 * [backup-simplify]: Simplify (* -1 0) into 0 10.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.237 * [backup-simplify]: Simplify (- 0) into 0 10.237 * [backup-simplify]: Simplify (+ 1 0) into 1 10.238 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 10.238 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.239 * [backup-simplify]: Simplify (sqrt 1) into 1 10.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.240 * [backup-simplify]: Simplify (- 0) into 0 10.240 * [backup-simplify]: Simplify (+ 0 0) into 0 10.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 10.242 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 10.243 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 10.243 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 10.243 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 10.243 * [taylor]: Taking taylor expansion of -1 in N 10.243 * [backup-simplify]: Simplify -1 into -1 10.243 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 10.243 * [taylor]: Taking taylor expansion of N in N 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify 1 into 1 10.243 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.243 * [taylor]: Taking taylor expansion of 1 in N 10.243 * [backup-simplify]: Simplify 1 into 1 10.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.244 * [taylor]: Taking taylor expansion of N in N 10.244 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify 1 into 1 10.244 * [backup-simplify]: Simplify (/ 1 1) into 1 10.245 * [backup-simplify]: Simplify (- 1) into -1 10.245 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.245 * [backup-simplify]: Simplify (* 0 -1) into 0 10.245 * [backup-simplify]: Simplify (* -1 0) into 0 10.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.246 * [backup-simplify]: Simplify (- 0) into 0 10.246 * [backup-simplify]: Simplify (+ 1 0) into 1 10.247 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 10.247 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.247 * [backup-simplify]: Simplify (sqrt 1) into 1 10.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.248 * [backup-simplify]: Simplify (- 0) into 0 10.248 * [backup-simplify]: Simplify (+ 0 0) into 0 10.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 10.249 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 10.250 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 10.250 * [backup-simplify]: Simplify 1 into 1 10.250 * [backup-simplify]: Simplify -1/2 into -1/2 10.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.251 * [backup-simplify]: Simplify (- 0) into 0 10.251 * [backup-simplify]: Simplify (+ 0 0) into 0 10.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 10.252 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 10.253 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 10.253 * [backup-simplify]: Simplify -1/8 into -1/8 10.253 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 10.253 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 10.253 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 10.254 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 10.254 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 10.254 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.254 * [taylor]: Taking taylor expansion of N in N 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 1 into 1 10.254 * [taylor]: Taking taylor expansion of 1 in N 10.254 * [backup-simplify]: Simplify 1 into 1 10.254 * [taylor]: Taking taylor expansion of N in N 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 1 into 1 10.254 * [backup-simplify]: Simplify (+ 0 1) into 1 10.254 * [backup-simplify]: Simplify (/ 1 1) into 1 10.254 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 10.255 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.255 * [taylor]: Taking taylor expansion of N in N 10.255 * [backup-simplify]: Simplify 0 into 0 10.255 * [backup-simplify]: Simplify 1 into 1 10.255 * [taylor]: Taking taylor expansion of 1 in N 10.255 * [backup-simplify]: Simplify 1 into 1 10.255 * [taylor]: Taking taylor expansion of N in N 10.255 * [backup-simplify]: Simplify 0 into 0 10.255 * [backup-simplify]: Simplify 1 into 1 10.255 * [backup-simplify]: Simplify (+ 0 1) into 1 10.255 * [backup-simplify]: Simplify (/ 1 1) into 1 10.255 * [backup-simplify]: Simplify 1 into 1 10.255 * [backup-simplify]: Simplify (+ 1 0) into 1 10.256 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 10.256 * [backup-simplify]: Simplify 1 into 1 10.256 * [backup-simplify]: Simplify (+ 0 0) into 0 10.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 10.257 * [backup-simplify]: Simplify 0 into 0 10.257 * [backup-simplify]: Simplify (+ 0 0) into 0 10.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify (+ 0 0) into 0 10.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.259 * [backup-simplify]: Simplify (+ 0 0) into 0 10.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.259 * [backup-simplify]: Simplify 0 into 0 10.259 * [backup-simplify]: Simplify (+ 0 0) into 0 10.260 * [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 10.260 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify (+ 0 0) into 0 10.261 * [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 10.261 * [backup-simplify]: Simplify 0 into 0 10.261 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 10.261 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 10.261 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 10.261 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 10.261 * [taylor]: Taking taylor expansion of N in N 10.261 * [backup-simplify]: Simplify 0 into 0 10.261 * [backup-simplify]: Simplify 1 into 1 10.261 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.261 * [taylor]: Taking taylor expansion of N in N 10.261 * [backup-simplify]: Simplify 0 into 0 10.261 * [backup-simplify]: Simplify 1 into 1 10.261 * [backup-simplify]: Simplify (/ 1 1) into 1 10.261 * [taylor]: Taking taylor expansion of 1 in N 10.262 * [backup-simplify]: Simplify 1 into 1 10.262 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 10.262 * [taylor]: Taking taylor expansion of N in N 10.262 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify 1 into 1 10.262 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.262 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.262 * [taylor]: Taking taylor expansion of N in N 10.262 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify 1 into 1 10.262 * [backup-simplify]: Simplify (/ 1 1) into 1 10.262 * [taylor]: Taking taylor expansion of 1 in N 10.262 * [backup-simplify]: Simplify 1 into 1 10.262 * [backup-simplify]: Simplify (+ 1 0) into 1 10.262 * [backup-simplify]: Simplify (* 0 1) into 0 10.263 * [backup-simplify]: Simplify 0 into 0 10.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.263 * [backup-simplify]: Simplify (+ 0 1) into 1 10.264 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 10.264 * [backup-simplify]: Simplify 1 into 1 10.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.264 * [backup-simplify]: Simplify (+ 0 0) into 0 10.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 10.265 * [backup-simplify]: Simplify 1 into 1 10.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.266 * [backup-simplify]: Simplify (+ 0 0) into 0 10.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 10.266 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.267 * [backup-simplify]: Simplify (+ 0 0) into 0 10.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 10.268 * [backup-simplify]: Simplify 0 into 0 10.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.269 * [backup-simplify]: Simplify (+ 0 0) into 0 10.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 10.269 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.270 * [backup-simplify]: Simplify (+ 0 0) into 0 10.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 10.271 * [backup-simplify]: Simplify 0 into 0 10.272 * [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 10.272 * [backup-simplify]: Simplify (+ 0 0) into 0 10.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 10.273 * [backup-simplify]: Simplify 0 into 0 10.273 * [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 10.274 * [backup-simplify]: Simplify (+ 0 0) into 0 10.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 10.275 * [backup-simplify]: Simplify 0 into 0 10.275 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 10.275 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 10.275 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 10.275 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 10.275 * [taylor]: Taking taylor expansion of -1 in N 10.275 * [backup-simplify]: Simplify -1 into -1 10.275 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 10.275 * [taylor]: Taking taylor expansion of N in N 10.275 * [backup-simplify]: Simplify 0 into 0 10.275 * [backup-simplify]: Simplify 1 into 1 10.275 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.275 * [taylor]: Taking taylor expansion of 1 in N 10.275 * [backup-simplify]: Simplify 1 into 1 10.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.275 * [taylor]: Taking taylor expansion of N in N 10.275 * [backup-simplify]: Simplify 0 into 0 10.275 * [backup-simplify]: Simplify 1 into 1 10.275 * [backup-simplify]: Simplify (/ 1 1) into 1 10.275 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 10.275 * [taylor]: Taking taylor expansion of -1 in N 10.275 * [backup-simplify]: Simplify -1 into -1 10.275 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 10.276 * [taylor]: Taking taylor expansion of N in N 10.276 * [backup-simplify]: Simplify 0 into 0 10.276 * [backup-simplify]: Simplify 1 into 1 10.276 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.276 * [taylor]: Taking taylor expansion of 1 in N 10.276 * [backup-simplify]: Simplify 1 into 1 10.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.276 * [taylor]: Taking taylor expansion of N in N 10.276 * [backup-simplify]: Simplify 0 into 0 10.276 * [backup-simplify]: Simplify 1 into 1 10.276 * [backup-simplify]: Simplify (/ 1 1) into 1 10.276 * [backup-simplify]: Simplify (- 1) into -1 10.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.277 * [backup-simplify]: Simplify (* 0 -1) into 0 10.277 * [backup-simplify]: Simplify (* -1 0) into 0 10.277 * [backup-simplify]: Simplify 0 into 0 10.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.278 * [backup-simplify]: Simplify (- 0) into 0 10.278 * [backup-simplify]: Simplify (+ 1 0) into 1 10.278 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 10.279 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.279 * [backup-simplify]: Simplify 1 into 1 10.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.280 * [backup-simplify]: Simplify (- 0) into 0 10.280 * [backup-simplify]: Simplify (+ 0 0) into 0 10.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 10.281 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 10.281 * [backup-simplify]: Simplify -1 into -1 10.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.282 * [backup-simplify]: Simplify (- 0) into 0 10.282 * [backup-simplify]: Simplify (+ 0 0) into 0 10.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 10.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 10.283 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.284 * [backup-simplify]: Simplify (- 0) into 0 10.284 * [backup-simplify]: Simplify (+ 0 0) into 0 10.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 10.286 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 10.286 * [backup-simplify]: Simplify 0 into 0 10.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.287 * [backup-simplify]: Simplify (- 0) into 0 10.287 * [backup-simplify]: Simplify (+ 0 0) into 0 10.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 10.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.290 * [backup-simplify]: Simplify (- 0) into 0 10.290 * [backup-simplify]: Simplify (+ 0 0) into 0 10.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 10.292 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 10.292 * [backup-simplify]: Simplify 0 into 0 10.293 * [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 10.293 * [backup-simplify]: Simplify (- 0) into 0 10.293 * [backup-simplify]: Simplify (+ 0 0) into 0 10.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 10.295 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 10.295 * [backup-simplify]: Simplify 0 into 0 10.296 * [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 10.296 * [backup-simplify]: Simplify (- 0) into 0 10.296 * [backup-simplify]: Simplify (+ 0 0) into 0 10.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 10.299 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 10.299 * [backup-simplify]: Simplify 0 into 0 10.299 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 10.299 * * * [progress]: simplifying candidates 10.299 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 10.299 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 10.299 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 10.299 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 10.299 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 10.299 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 10.299 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 10.299 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 10.299 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 16 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 10.300 * * * * [progress]: [ 34 / 143 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ 1 N) N))))) (* 1/2 (log (/ (+ 1 N) N)))))> 10.301 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 10.301 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 64 / 143 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))))> 10.302 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 10.302 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 95 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ 1 N) N))))) (* 1/2 (log (/ (+ 1 N) N)))))> 10.303 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 10.303 * * * * [progress]: [ 111 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 130 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 131 / 143 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))))> 10.304 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 10.305 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 10.305 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 10.305 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 10.305 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 10.305 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 10.305 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 10.306 * [simplify]: Simplifying: (expm1 (log (sqrt (/ (+ 1 N) N)))) (log1p (log (sqrt (/ (+ 1 N) N)))) (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) (log (sqrt (cbrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1))) (log (sqrt (/ (cbrt (+ 1 N)) N))) (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) 1))) (log (sqrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log 1) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt N)) (log (/ (+ 1 N) N)) (log (sqrt (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (log (sqrt (/ (+ 1 N) N)))) (exp (log (sqrt (/ (+ 1 N) N)))) (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N)))) (* (* (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N)))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (real->posit16 (log (sqrt (/ (+ 1 N) N)))) (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 (sqrt (/ (+ 1 N) N))) (log1p (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (exp (sqrt (/ (+ 1 N) N))) (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N)))) (cbrt (sqrt (/ (+ 1 N) N))) (* (* (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N))) (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (sqrt (cbrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (sqrt (/ (cbrt (+ 1 N)) (sqrt N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (sqrt (/ (cbrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ 1 N)) (cbrt N))) (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1 N)) 1)) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1 N) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1 N) N)) (sqrt 1) (sqrt (/ (+ 1 N) N)) (sqrt (+ 1 N)) (sqrt (/ 1 N)) (sqrt (+ 1 N)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (real->posit16 (sqrt (/ (+ 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)) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- 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)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 10.308 * * [simplify]: iteration 0: 194 enodes 10.376 * * [simplify]: iteration 1: 381 enodes 10.536 * * [simplify]: iteration 2: 897 enodes 11.060 * * [simplify]: iteration 3: 3240 enodes 12.237 * * [simplify]: iteration complete: 5041 enodes 12.237 * * [simplify]: Extracting #0: cost 131 inf + 0 12.239 * * [simplify]: Extracting #1: cost 606 inf + 3 12.246 * * [simplify]: Extracting #2: cost 1172 inf + 1302 12.264 * * [simplify]: Extracting #3: cost 950 inf + 32370 12.299 * * [simplify]: Extracting #4: cost 266 inf + 151712 12.360 * * [simplify]: Extracting #5: cost 36 inf + 210226 12.415 * * [simplify]: Extracting #6: cost 0 inf + 222438 12.467 * [simplify]: Simplified to: (expm1 (log (sqrt (/ (+ 1 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# # # #) 13.153 * * * [regime-changes]: Trying 1 branch expressions: (N) 13.153 * * * * [regimes]: Trying to branch on N from (# # # # #) 13.210 * * * [regime]: Found split indices: #