15.839 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.089 * * * [progress]: [2/2] Setting up program. 0.095 * [progress]: [Phase 2 of 3] Improving. 0.095 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.095 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.095 * * [simplify]: iteration 0: 6 enodes 0.098 * * [simplify]: iteration 1: 11 enodes 0.101 * * [simplify]: iteration 2: 13 enodes 0.104 * * [simplify]: iteration complete: 13 enodes 0.104 * * [simplify]: Extracting #0: cost 1 inf + 0 0.104 * * [simplify]: Extracting #1: cost 4 inf + 0 0.104 * * [simplify]: Extracting #2: cost 6 inf + 0 0.104 * * [simplify]: Extracting #3: cost 2 inf + 475 0.105 * * [simplify]: Extracting #4: cost 0 inf + 518 0.105 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.113 * * [progress]: iteration 1 / 4 0.113 * * * [progress]: picking best candidate 0.118 * * * * [pick]: Picked # 0.118 * * * [progress]: localizing error 0.131 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.141 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.141 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.141 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.141 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.141 * [taylor]: Taking taylor expansion of (log1p N) in N 0.142 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.142 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of 1 in N 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (log 1) into 0 0.143 * [taylor]: Taking taylor expansion of (log N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (log 1) into 0 0.144 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.144 * [taylor]: Taking taylor expansion of (log1p N) in N 0.144 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.144 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.144 * [taylor]: Taking taylor expansion of 1 in N 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (log N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.145 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.145 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.145 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.146 * [backup-simplify]: Simplify (+ 0 1) into 1 0.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [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 0.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.153 * [backup-simplify]: Simplify -1/2 into -1/2 0.153 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.153 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.153 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.153 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.153 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.153 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.153 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.153 * [taylor]: Taking taylor expansion of 1 in N 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (+ 0 1) into 1 0.154 * [backup-simplify]: Simplify (log 1) into 0 0.154 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [backup-simplify]: Simplify (log 1) into 0 0.155 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.155 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.155 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.155 * [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 0.155 * [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 0.156 * [backup-simplify]: Simplify (log 1) into 0 0.157 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.157 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.157 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.158 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.173 * [backup-simplify]: Simplify -1/2 into -1/2 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [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 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [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 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.188 * [backup-simplify]: Simplify 1/3 into 1/3 0.188 * [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)))) 0.189 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.189 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.189 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.189 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.189 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.189 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.189 * [taylor]: Taking taylor expansion of 1 in N 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.189 * [taylor]: Taking taylor expansion of -1 in N 0.189 * [backup-simplify]: Simplify -1 into -1 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ -1 1) into -1 0.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.190 * [backup-simplify]: Simplify (log -1) into (log -1) 0.190 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 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 0.204 * [backup-simplify]: Simplify (/ -1 1) into -1 0.205 * [backup-simplify]: Simplify (log -1) into (log -1) 0.205 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.206 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.206 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.206 * [taylor]: Taking taylor expansion of 1 in N 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.206 * [taylor]: Taking taylor expansion of -1 in N 0.206 * [backup-simplify]: Simplify -1 into -1 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ -1 1) into -1 0.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.207 * [backup-simplify]: Simplify (log -1) into (log -1) 0.208 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.208 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.208 * [taylor]: Taking taylor expansion of -1 in N 0.208 * [backup-simplify]: Simplify -1 into -1 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ -1 1) into -1 0.209 * [backup-simplify]: Simplify (log -1) into (log -1) 0.210 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.210 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.211 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.212 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ -1 0) into -1 0.216 * [backup-simplify]: Simplify -1 into -1 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.222 * [backup-simplify]: Simplify -1/2 into -1/2 0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [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 0.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [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 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.232 * [backup-simplify]: Simplify -1/3 into -1/3 0.232 * [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)))) 0.232 * * * [progress]: simplifying candidates 0.232 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.232 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.233 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.234 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.234 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.234 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.234 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.234 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.234 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.234 * [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)))) 0.235 * * [simplify]: iteration 0: 83 enodes 0.254 * * [simplify]: iteration 1: 185 enodes 0.315 * * [simplify]: iteration 2: 403 enodes 0.554 * * [simplify]: iteration 3: 1137 enodes 1.889 * * [simplify]: iteration 4: 4052 enodes 2.774 * * [simplify]: iteration complete: 5000 enodes 2.774 * * [simplify]: Extracting #0: cost 24 inf + 0 2.777 * * [simplify]: Extracting #1: cost 367 inf + 1 2.789 * * [simplify]: Extracting #2: cost 718 inf + 11427 2.827 * * [simplify]: Extracting #3: cost 498 inf + 68470 2.894 * * [simplify]: Extracting #4: cost 180 inf + 156770 2.949 * * [simplify]: Extracting #5: cost 7 inf + 229146 3.009 * * [simplify]: Extracting #6: cost 0 inf + 232781 3.058 * [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)) 3.060 * * * [progress]: adding candidates to table 3.163 * * [progress]: iteration 2 / 4 3.164 * * * [progress]: picking best candidate 3.169 * * * * [pick]: Picked # 3.170 * * * [progress]: localizing error 3.178 * * * [progress]: generating rewritten candidates 3.178 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.183 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.215 * * * [progress]: generating series expansions 3.215 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.215 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 3.215 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.215 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.215 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.215 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.215 * [taylor]: Taking taylor expansion of N in N 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 1 into 1 3.215 * [taylor]: Taking taylor expansion of 1 in N 3.215 * [backup-simplify]: Simplify 1 into 1 3.215 * [taylor]: Taking taylor expansion of N in N 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 1 into 1 3.216 * [backup-simplify]: Simplify (+ 0 1) into 1 3.216 * [backup-simplify]: Simplify (/ 1 1) into 1 3.216 * [backup-simplify]: Simplify (log 1) into 0 3.216 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.217 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.217 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.217 * [taylor]: Taking taylor expansion of N in N 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [taylor]: Taking taylor expansion of 1 in N 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [taylor]: Taking taylor expansion of N in N 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [backup-simplify]: Simplify (+ 0 1) into 1 3.217 * [backup-simplify]: Simplify (/ 1 1) into 1 3.217 * [backup-simplify]: Simplify (log 1) into 0 3.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.218 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.218 * [backup-simplify]: Simplify (+ 1 0) into 1 3.219 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.220 * [backup-simplify]: Simplify 1 into 1 3.220 * [backup-simplify]: Simplify (+ 0 0) into 0 3.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.222 * [backup-simplify]: Simplify -1/2 into -1/2 3.222 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.222 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.222 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.223 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.223 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.223 * [taylor]: Taking taylor expansion of N in N 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.223 * [taylor]: Taking taylor expansion of N in N 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [backup-simplify]: Simplify (/ 1 1) into 1 3.223 * [taylor]: Taking taylor expansion of 1 in N 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [backup-simplify]: Simplify (+ 1 0) into 1 3.224 * [backup-simplify]: Simplify (* 0 1) into 0 3.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.224 * [backup-simplify]: Simplify (+ 0 1) into 1 3.225 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.225 * [backup-simplify]: Simplify (log 1) into 0 3.225 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.225 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.225 * [taylor]: Taking taylor expansion of N in N 3.225 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify 1 into 1 3.225 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.225 * [taylor]: Taking taylor expansion of N in N 3.225 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify 1 into 1 3.225 * [backup-simplify]: Simplify (/ 1 1) into 1 3.225 * [taylor]: Taking taylor expansion of 1 in N 3.226 * [backup-simplify]: Simplify 1 into 1 3.226 * [backup-simplify]: Simplify (+ 1 0) into 1 3.226 * [backup-simplify]: Simplify (* 0 1) into 0 3.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ 0 1) into 1 3.227 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.227 * [backup-simplify]: Simplify (log 1) into 0 3.227 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.228 * [backup-simplify]: Simplify (+ 0 0) into 0 3.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.229 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (+ 0 0) into 0 3.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.232 * [backup-simplify]: Simplify -1/2 into -1/2 3.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.233 * [backup-simplify]: Simplify (+ 0 0) into 0 3.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.237 * [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 3.237 * [backup-simplify]: Simplify 1/3 into 1/3 3.237 * [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)))) 3.238 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.238 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.238 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.238 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.238 * [taylor]: Taking taylor expansion of -1 in N 3.238 * [backup-simplify]: Simplify -1 into -1 3.238 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.238 * [taylor]: Taking taylor expansion of N in N 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.238 * [taylor]: Taking taylor expansion of 1 in N 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.238 * [taylor]: Taking taylor expansion of N in N 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [backup-simplify]: Simplify (/ 1 1) into 1 3.238 * [backup-simplify]: Simplify (- 1) into -1 3.239 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.239 * [backup-simplify]: Simplify (* 0 -1) into 0 3.239 * [backup-simplify]: Simplify (* -1 0) into 0 3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (- 0) into 0 3.240 * [backup-simplify]: Simplify (+ 1 0) into 1 3.241 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.241 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.241 * [backup-simplify]: Simplify (log 1) into 0 3.241 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.241 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.241 * [taylor]: Taking taylor expansion of -1 in N 3.241 * [backup-simplify]: Simplify -1 into -1 3.241 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.241 * [taylor]: Taking taylor expansion of N in N 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.241 * [taylor]: Taking taylor expansion of 1 in N 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.241 * [taylor]: Taking taylor expansion of N in N 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify (/ 1 1) into 1 3.242 * [backup-simplify]: Simplify (- 1) into -1 3.242 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.243 * [backup-simplify]: Simplify (* 0 -1) into 0 3.243 * [backup-simplify]: Simplify (* -1 0) into 0 3.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (- 0) into 0 3.244 * [backup-simplify]: Simplify (+ 1 0) into 1 3.244 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.245 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.245 * [backup-simplify]: Simplify (log 1) into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (- 0) into 0 3.246 * [backup-simplify]: Simplify (+ 0 0) into 0 3.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.247 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.248 * [backup-simplify]: Simplify -1 into -1 3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.249 * [backup-simplify]: Simplify (- 0) into 0 3.249 * [backup-simplify]: Simplify (+ 0 0) into 0 3.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.250 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.252 * [backup-simplify]: Simplify -1/2 into -1/2 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.253 * [backup-simplify]: Simplify (- 0) into 0 3.253 * [backup-simplify]: Simplify (+ 0 0) into 0 3.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.255 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.257 * [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 3.258 * [backup-simplify]: Simplify -1/3 into -1/3 3.258 * [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)))) 3.258 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.258 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 3.258 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.258 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.258 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.258 * [taylor]: Taking taylor expansion of N in N 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.258 * [taylor]: Taking taylor expansion of 1 in N 3.258 * [backup-simplify]: Simplify 1 into 1 3.258 * [taylor]: Taking taylor expansion of N in N 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (+ 0 1) into 1 3.259 * [backup-simplify]: Simplify (/ 1 1) into 1 3.259 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.259 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.259 * [taylor]: Taking taylor expansion of N in N 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [taylor]: Taking taylor expansion of 1 in N 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [taylor]: Taking taylor expansion of N in N 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (+ 0 1) into 1 3.260 * [backup-simplify]: Simplify (/ 1 1) into 1 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (+ 1 0) into 1 3.261 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [backup-simplify]: Simplify (+ 0 0) into 0 3.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify (+ 0 0) into 0 3.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.263 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify (+ 0 0) into 0 3.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.264 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify (+ 0 0) into 0 3.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify (+ 0 0) into 0 3.267 * [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 3.267 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.269 * [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 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.269 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.269 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.269 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.269 * [taylor]: Taking taylor expansion of N in N 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.269 * [taylor]: Taking taylor expansion of N in N 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (/ 1 1) into 1 3.270 * [taylor]: Taking taylor expansion of 1 in N 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.270 * [taylor]: Taking taylor expansion of N in N 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.270 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.270 * [taylor]: Taking taylor expansion of N in N 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (/ 1 1) into 1 3.270 * [taylor]: Taking taylor expansion of 1 in N 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (+ 1 0) into 1 3.272 * [backup-simplify]: Simplify (* 0 1) into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (+ 0 1) into 1 3.274 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.274 * [backup-simplify]: Simplify 1 into 1 3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.276 * [backup-simplify]: Simplify (+ 0 0) into 0 3.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.277 * [backup-simplify]: Simplify 1 into 1 3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (+ 0 0) into 0 3.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.279 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (+ 0 0) into 0 3.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.282 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.285 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify (+ 0 0) into 0 3.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.289 * [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 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (+ 0 0) into 0 3.301 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.303 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.303 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.303 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.303 * [taylor]: Taking taylor expansion of -1 in N 3.303 * [backup-simplify]: Simplify -1 into -1 3.303 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.303 * [taylor]: Taking taylor expansion of N in N 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.304 * [taylor]: Taking taylor expansion of 1 in N 3.304 * [backup-simplify]: Simplify 1 into 1 3.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.304 * [taylor]: Taking taylor expansion of N in N 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 1 into 1 3.305 * [backup-simplify]: Simplify (/ 1 1) into 1 3.305 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.305 * [taylor]: Taking taylor expansion of -1 in N 3.305 * [backup-simplify]: Simplify -1 into -1 3.305 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.305 * [taylor]: Taking taylor expansion of N in N 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.305 * [taylor]: Taking taylor expansion of 1 in N 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.305 * [taylor]: Taking taylor expansion of N in N 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 1 into 1 3.306 * [backup-simplify]: Simplify (/ 1 1) into 1 3.306 * [backup-simplify]: Simplify (- 1) into -1 3.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.307 * [backup-simplify]: Simplify (* 0 -1) into 0 3.308 * [backup-simplify]: Simplify (* -1 0) into 0 3.308 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (- 0) into 0 3.310 * [backup-simplify]: Simplify (+ 1 0) into 1 3.310 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.311 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.311 * [backup-simplify]: Simplify 1 into 1 3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (- 0) into 0 3.313 * [backup-simplify]: Simplify (+ 0 0) into 0 3.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.315 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.315 * [backup-simplify]: Simplify -1 into -1 3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.316 * [backup-simplify]: Simplify (- 0) into 0 3.317 * [backup-simplify]: Simplify (+ 0 0) into 0 3.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.319 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (- 0) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.324 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.324 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.326 * [backup-simplify]: Simplify (- 0) into 0 3.326 * [backup-simplify]: Simplify (+ 0 0) into 0 3.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.329 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.329 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (- 0) into 0 3.331 * [backup-simplify]: Simplify (+ 0 0) into 0 3.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.335 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.336 * [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 3.337 * [backup-simplify]: Simplify (- 0) into 0 3.337 * [backup-simplify]: Simplify (+ 0 0) into 0 3.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.341 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.341 * [backup-simplify]: Simplify 0 into 0 3.342 * [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 3.343 * [backup-simplify]: Simplify (- 0) into 0 3.343 * [backup-simplify]: Simplify (+ 0 0) into 0 3.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.348 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.348 * * * [progress]: simplifying candidates 3.348 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 3.348 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 3.348 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 3.348 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 3.348 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 3.348 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 3.348 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 3.349 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 3.350 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 3.350 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 3.351 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 3.352 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 3.352 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 3.354 * [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) 3.356 * * [simplify]: iteration 0: 106 enodes 3.412 * * [simplify]: iteration 1: 244 enodes 3.499 * * [simplify]: iteration 2: 583 enodes 3.712 * * [simplify]: iteration 3: 2586 enodes 5.020 * * [simplify]: iteration complete: 5052 enodes 5.021 * * [simplify]: Extracting #0: cost 69 inf + 0 5.022 * * [simplify]: Extracting #1: cost 506 inf + 2 5.029 * * [simplify]: Extracting #2: cost 1571 inf + 6687 5.049 * * [simplify]: Extracting #3: cost 1134 inf + 97525 5.096 * * [simplify]: Extracting #4: cost 333 inf + 265722 5.154 * * [simplify]: Extracting #5: cost 4 inf + 366616 5.232 * * [simplify]: Extracting #6: cost 0 inf + 367906 5.300 * [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) 5.303 * * * [progress]: adding candidates to table 5.550 * * [progress]: iteration 3 / 4 5.550 * * * [progress]: picking best candidate 5.559 * * * * [pick]: Picked # 5.559 * * * [progress]: localizing error 5.593 * * * [progress]: generating rewritten candidates 5.593 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.604 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.653 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.674 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.685 * * * [progress]: generating series expansions 5.685 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.686 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 5.686 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 5.686 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.686 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.686 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.686 * [taylor]: Taking taylor expansion of N in N 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 1 into 1 5.686 * [taylor]: Taking taylor expansion of 1 in N 5.686 * [backup-simplify]: Simplify 1 into 1 5.686 * [backup-simplify]: Simplify (+ 0 1) into 1 5.687 * [backup-simplify]: Simplify (sqrt 1) into 1 5.687 * [backup-simplify]: Simplify (+ 1 0) into 1 5.687 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.688 * [backup-simplify]: Simplify (log 1) into 0 5.688 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.688 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.688 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.688 * [taylor]: Taking taylor expansion of N in N 5.688 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify 1 into 1 5.688 * [taylor]: Taking taylor expansion of 1 in N 5.688 * [backup-simplify]: Simplify 1 into 1 5.688 * [backup-simplify]: Simplify (+ 0 1) into 1 5.688 * [backup-simplify]: Simplify (sqrt 1) into 1 5.689 * [backup-simplify]: Simplify (+ 1 0) into 1 5.689 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.689 * [backup-simplify]: Simplify (log 1) into 0 5.689 * [backup-simplify]: Simplify 0 into 0 5.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.690 * [backup-simplify]: Simplify 1/2 into 1/2 5.690 * [backup-simplify]: Simplify (+ 0 0) into 0 5.691 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.693 * [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 5.693 * [backup-simplify]: Simplify -1/4 into -1/4 5.693 * [backup-simplify]: Simplify (+ 0 0) into 0 5.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.698 * [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 5.698 * [backup-simplify]: Simplify 1/6 into 1/6 5.699 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 5.699 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 5.699 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.699 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.699 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.699 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.699 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.699 * [taylor]: Taking taylor expansion of N in N 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 1 into 1 5.699 * [backup-simplify]: Simplify (/ 1 1) into 1 5.699 * [taylor]: Taking taylor expansion of 1 in N 5.700 * [backup-simplify]: Simplify 1 into 1 5.700 * [backup-simplify]: Simplify (+ 1 0) into 1 5.700 * [backup-simplify]: Simplify (sqrt 0) into 0 5.702 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.702 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.702 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.702 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.702 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.703 * [taylor]: Taking taylor expansion of N in N 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [backup-simplify]: Simplify (/ 1 1) into 1 5.703 * [taylor]: Taking taylor expansion of 1 in N 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [backup-simplify]: Simplify (+ 1 0) into 1 5.704 * [backup-simplify]: Simplify (sqrt 0) into 0 5.705 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.705 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.706 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.707 * [backup-simplify]: Simplify (+ 0 1) into 1 5.710 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.714 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.715 * [backup-simplify]: Simplify (+ 0 0) into 0 5.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.731 * [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 5.731 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.731 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.732 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 5.732 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 5.732 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.732 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.732 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.732 * [taylor]: Taking taylor expansion of 1 in N 5.732 * [backup-simplify]: Simplify 1 into 1 5.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.732 * [taylor]: Taking taylor expansion of N in N 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify 1 into 1 5.732 * [backup-simplify]: Simplify (/ 1 1) into 1 5.732 * [backup-simplify]: Simplify (- 1) into -1 5.733 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.733 * [backup-simplify]: Simplify (sqrt 0) into 0 5.734 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.734 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.734 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.734 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.734 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.734 * [taylor]: Taking taylor expansion of 1 in N 5.734 * [backup-simplify]: Simplify 1 into 1 5.734 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.734 * [taylor]: Taking taylor expansion of N in N 5.734 * [backup-simplify]: Simplify 0 into 0 5.734 * [backup-simplify]: Simplify 1 into 1 5.735 * [backup-simplify]: Simplify (/ 1 1) into 1 5.735 * [backup-simplify]: Simplify (- 1) into -1 5.735 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.735 * [backup-simplify]: Simplify (sqrt 0) into 0 5.736 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.736 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.737 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.738 * [backup-simplify]: Simplify (- 0) into 0 5.738 * [backup-simplify]: Simplify (+ 1 0) into 1 5.740 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.744 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.745 * [backup-simplify]: Simplify (- 0) into 0 5.745 * [backup-simplify]: Simplify (+ 0 0) into 0 5.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.758 * [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 5.758 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.758 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.758 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.759 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) into (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) 5.759 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in (N) around 0 5.759 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.759 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.759 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.759 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.759 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.759 * [taylor]: Taking taylor expansion of N in N 5.759 * [backup-simplify]: Simplify 0 into 0 5.759 * [backup-simplify]: Simplify 1 into 1 5.759 * [taylor]: Taking taylor expansion of 1 in N 5.759 * [backup-simplify]: Simplify 1 into 1 5.759 * [backup-simplify]: Simplify (+ 0 1) into 1 5.759 * [backup-simplify]: Simplify (sqrt 1) into 1 5.760 * [backup-simplify]: Simplify (+ 1 0) into 1 5.760 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.761 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.761 * [taylor]: Taking taylor expansion of N in N 5.761 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify 1 into 1 5.761 * [backup-simplify]: Simplify (/ 1 1) into 1 5.761 * [backup-simplify]: Simplify (* 1 1) into 1 5.762 * [backup-simplify]: Simplify (log 1) into 0 5.762 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.762 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.762 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.762 * [taylor]: Taking taylor expansion of N in N 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 1 into 1 5.762 * [taylor]: Taking taylor expansion of 1 in N 5.762 * [backup-simplify]: Simplify 1 into 1 5.762 * [backup-simplify]: Simplify (+ 0 1) into 1 5.763 * [backup-simplify]: Simplify (sqrt 1) into 1 5.763 * [backup-simplify]: Simplify (+ 1 0) into 1 5.764 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.764 * [backup-simplify]: Simplify (log 1) into 0 5.764 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.764 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.764 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.764 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.765 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.765 * [taylor]: Taking taylor expansion of N in N 5.765 * [backup-simplify]: Simplify 0 into 0 5.765 * [backup-simplify]: Simplify 1 into 1 5.765 * [taylor]: Taking taylor expansion of 1 in N 5.765 * [backup-simplify]: Simplify 1 into 1 5.765 * [backup-simplify]: Simplify (+ 0 1) into 1 5.765 * [backup-simplify]: Simplify (sqrt 1) into 1 5.766 * [backup-simplify]: Simplify (+ 1 0) into 1 5.767 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.767 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.767 * [taylor]: Taking taylor expansion of N in N 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [backup-simplify]: Simplify (/ 1 1) into 1 5.767 * [backup-simplify]: Simplify (* 1 1) into 1 5.768 * [backup-simplify]: Simplify (log 1) into 0 5.768 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.768 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.768 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.768 * [taylor]: Taking taylor expansion of N in N 5.768 * [backup-simplify]: Simplify 0 into 0 5.768 * [backup-simplify]: Simplify 1 into 1 5.768 * [taylor]: Taking taylor expansion of 1 in N 5.768 * [backup-simplify]: Simplify 1 into 1 5.769 * [backup-simplify]: Simplify (+ 0 1) into 1 5.769 * [backup-simplify]: Simplify (sqrt 1) into 1 5.770 * [backup-simplify]: Simplify (+ 1 0) into 1 5.770 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.771 * [backup-simplify]: Simplify (log 1) into 0 5.771 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.771 * [backup-simplify]: Simplify (+ (- (log N)) 0) into (- (log N)) 5.772 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.776 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.776 * [backup-simplify]: Simplify 1 into 1 5.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.778 * [backup-simplify]: Simplify (+ 0 0) into 0 5.779 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.783 * [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 5.783 * [backup-simplify]: Simplify (+ 0 0) into 0 5.784 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.787 * [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 5.788 * [backup-simplify]: Simplify (+ -1/4 -1/4) into -1/2 5.788 * [backup-simplify]: Simplify -1/2 into -1/2 5.788 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.789 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 N)))) (log (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) 5.789 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 5.789 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.789 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.789 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.789 * [taylor]: Taking taylor expansion of N in N 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.789 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.789 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.789 * [taylor]: Taking taylor expansion of N in N 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.789 * [backup-simplify]: Simplify (/ 1 1) into 1 5.789 * [taylor]: Taking taylor expansion of 1 in N 5.789 * [backup-simplify]: Simplify 1 into 1 5.790 * [backup-simplify]: Simplify (+ 1 0) into 1 5.790 * [backup-simplify]: Simplify (sqrt 0) into 0 5.791 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.792 * [backup-simplify]: Simplify (* 0 0) into 0 5.792 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.793 * [backup-simplify]: Simplify (+ 0 1) into 1 5.796 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.798 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.799 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.799 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.799 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.799 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.799 * [taylor]: Taking taylor expansion of N in N 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify 1 into 1 5.800 * [backup-simplify]: Simplify (/ 1 1) into 1 5.800 * [taylor]: Taking taylor expansion of 1 in N 5.800 * [backup-simplify]: Simplify 1 into 1 5.800 * [backup-simplify]: Simplify (+ 1 0) into 1 5.800 * [backup-simplify]: Simplify (sqrt 0) into 0 5.802 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.802 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.802 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.802 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.802 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.802 * [taylor]: Taking taylor expansion of N in N 5.802 * [backup-simplify]: Simplify 0 into 0 5.802 * [backup-simplify]: Simplify 1 into 1 5.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.802 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.802 * [taylor]: Taking taylor expansion of N in N 5.802 * [backup-simplify]: Simplify 0 into 0 5.802 * [backup-simplify]: Simplify 1 into 1 5.803 * [backup-simplify]: Simplify (/ 1 1) into 1 5.803 * [taylor]: Taking taylor expansion of 1 in N 5.803 * [backup-simplify]: Simplify 1 into 1 5.803 * [backup-simplify]: Simplify (+ 1 0) into 1 5.803 * [backup-simplify]: Simplify (sqrt 0) into 0 5.805 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.805 * [backup-simplify]: Simplify (* 0 0) into 0 5.806 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.807 * [backup-simplify]: Simplify (+ 0 1) into 1 5.809 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.812 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.813 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.813 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.813 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.813 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.813 * [taylor]: Taking taylor expansion of N in N 5.813 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify 1 into 1 5.813 * [backup-simplify]: Simplify (/ 1 1) into 1 5.813 * [taylor]: Taking taylor expansion of 1 in N 5.813 * [backup-simplify]: Simplify 1 into 1 5.813 * [backup-simplify]: Simplify (+ 1 0) into 1 5.814 * [backup-simplify]: Simplify (sqrt 0) into 0 5.815 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.815 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.816 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.818 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.819 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.820 * [backup-simplify]: Simplify (+ 0 0) into 0 5.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.826 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.835 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.836 * [backup-simplify]: Simplify (+ 0 1) into 1 5.840 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.853 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.854 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.855 * [backup-simplify]: Simplify (+ 0 0) into 0 5.860 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.863 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.874 * [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 5.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.875 * [backup-simplify]: Simplify (+ 0 0) into 0 5.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.887 * [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 5.887 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.888 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.890 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.890 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 (- N))))) (log (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) 5.890 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in (N) around 0 5.890 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.890 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.890 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.890 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.890 * [taylor]: Taking taylor expansion of 1 in N 5.890 * [backup-simplify]: Simplify 1 into 1 5.890 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.890 * [taylor]: Taking taylor expansion of N in N 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 1 into 1 5.890 * [backup-simplify]: Simplify (/ 1 1) into 1 5.891 * [backup-simplify]: Simplify (- 1) into -1 5.891 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.891 * [backup-simplify]: Simplify (sqrt 0) into 0 5.892 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.892 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.892 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.892 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.892 * [taylor]: Taking taylor expansion of -1 in N 5.892 * [backup-simplify]: Simplify -1 into -1 5.892 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.892 * [taylor]: Taking taylor expansion of N in N 5.892 * [backup-simplify]: Simplify 0 into 0 5.892 * [backup-simplify]: Simplify 1 into 1 5.892 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.893 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.893 * [taylor]: Taking taylor expansion of 1 in N 5.893 * [backup-simplify]: Simplify 1 into 1 5.893 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.893 * [taylor]: Taking taylor expansion of N in N 5.893 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify 1 into 1 5.893 * [backup-simplify]: Simplify (/ 1 1) into 1 5.893 * [backup-simplify]: Simplify (- 1) into -1 5.893 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.894 * [backup-simplify]: Simplify (sqrt 0) into 0 5.894 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.895 * [backup-simplify]: Simplify (* 0 0) into 0 5.895 * [backup-simplify]: Simplify (* -1 0) into 0 5.895 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.896 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.896 * [backup-simplify]: Simplify (- 0) into 0 5.897 * [backup-simplify]: Simplify (+ 1 0) into 1 5.898 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.901 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.903 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.904 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.904 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.904 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.904 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.904 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.904 * [taylor]: Taking taylor expansion of 1 in N 5.904 * [backup-simplify]: Simplify 1 into 1 5.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.904 * [taylor]: Taking taylor expansion of N in N 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify 1 into 1 5.904 * [backup-simplify]: Simplify (/ 1 1) into 1 5.905 * [backup-simplify]: Simplify (- 1) into -1 5.905 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.905 * [backup-simplify]: Simplify (sqrt 0) into 0 5.907 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.907 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.907 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.907 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.907 * [taylor]: Taking taylor expansion of -1 in N 5.907 * [backup-simplify]: Simplify -1 into -1 5.907 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.907 * [taylor]: Taking taylor expansion of N in N 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify 1 into 1 5.907 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.907 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.908 * [taylor]: Taking taylor expansion of 1 in N 5.908 * [backup-simplify]: Simplify 1 into 1 5.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.908 * [taylor]: Taking taylor expansion of N in N 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify 1 into 1 5.908 * [backup-simplify]: Simplify (/ 1 1) into 1 5.908 * [backup-simplify]: Simplify (- 1) into -1 5.909 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.909 * [backup-simplify]: Simplify (sqrt 0) into 0 5.911 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.911 * [backup-simplify]: Simplify (* 0 0) into 0 5.911 * [backup-simplify]: Simplify (* -1 0) into 0 5.912 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.913 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.914 * [backup-simplify]: Simplify (- 0) into 0 5.914 * [backup-simplify]: Simplify (+ 1 0) into 1 5.917 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.920 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.922 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.923 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.924 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.926 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.927 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.928 * [backup-simplify]: Simplify (- 0) into 0 5.928 * [backup-simplify]: Simplify (+ 1 0) into 1 5.931 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.939 * [backup-simplify]: Simplify (- 0) into 0 5.940 * [backup-simplify]: Simplify (+ 0 0) into 0 5.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.948 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.951 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.960 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.960 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.961 * [backup-simplify]: Simplify (- 0) into 0 5.962 * [backup-simplify]: Simplify (+ 0 0) into 0 5.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.979 * [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 5.980 * [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 5.984 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.986 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.988 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.998 * [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 5.999 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.999 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.001 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 6.001 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.001 * [backup-simplify]: Simplify (/ (sqrt (+ 1 N)) N) into (* (sqrt (+ N 1)) (/ 1 N)) 6.001 * [approximate]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in (N) around 0 6.001 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 6.001 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 6.001 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.001 * [taylor]: Taking taylor expansion of N in N 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 1 into 1 6.001 * [taylor]: Taking taylor expansion of 1 in N 6.001 * [backup-simplify]: Simplify 1 into 1 6.001 * [backup-simplify]: Simplify (+ 0 1) into 1 6.001 * [backup-simplify]: Simplify (sqrt 1) into 1 6.002 * [backup-simplify]: Simplify (+ 1 0) into 1 6.002 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.002 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.002 * [taylor]: Taking taylor expansion of N in N 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 1 into 1 6.002 * [backup-simplify]: Simplify (/ 1 1) into 1 6.002 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 6.002 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 6.003 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.003 * [taylor]: Taking taylor expansion of N in N 6.003 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 1 into 1 6.003 * [taylor]: Taking taylor expansion of 1 in N 6.003 * [backup-simplify]: Simplify 1 into 1 6.003 * [backup-simplify]: Simplify (+ 0 1) into 1 6.003 * [backup-simplify]: Simplify (sqrt 1) into 1 6.003 * [backup-simplify]: Simplify (+ 1 0) into 1 6.004 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.004 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 6.004 * [backup-simplify]: Simplify (* 1 1) into 1 6.004 * [backup-simplify]: Simplify 1 into 1 6.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 6.005 * [backup-simplify]: Simplify 1/2 into 1/2 6.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (+ 0 0) into 0 6.007 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 6.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 6.007 * [backup-simplify]: Simplify -1/8 into -1/8 6.007 * [backup-simplify]: Simplify (+ (* -1/8 N) (+ 1/2 (* 1 (/ 1 N)))) into (- (+ (/ 1 N) 1/2) (* 1/8 N)) 6.008 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1))) 6.008 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in (N) around 0 6.008 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 6.008 * [taylor]: Taking taylor expansion of N in N 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify 1 into 1 6.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 6.008 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.008 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.008 * [taylor]: Taking taylor expansion of N in N 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify 1 into 1 6.008 * [backup-simplify]: Simplify (/ 1 1) into 1 6.008 * [taylor]: Taking taylor expansion of 1 in N 6.008 * [backup-simplify]: Simplify 1 into 1 6.008 * [backup-simplify]: Simplify (+ 1 0) into 1 6.009 * [backup-simplify]: Simplify (sqrt 0) into 0 6.009 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.010 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 6.010 * [taylor]: Taking taylor expansion of N in N 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 6.010 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.010 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.010 * [taylor]: Taking taylor expansion of N in N 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [backup-simplify]: Simplify (/ 1 1) into 1 6.010 * [taylor]: Taking taylor expansion of 1 in N 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [backup-simplify]: Simplify (+ 1 0) into 1 6.010 * [backup-simplify]: Simplify (sqrt 0) into 0 6.011 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.012 * [backup-simplify]: Simplify (* 0 0) into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (+ 0 1) into 1 6.015 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.017 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 6.017 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.018 * [backup-simplify]: Simplify (+ 0 0) into 0 6.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.024 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.024 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.025 * [backup-simplify]: Simplify (+ 0 0) into 0 6.028 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.030 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 6.030 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.031 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 6.032 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1 (/ 1 N))))) 6.032 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in (N) around 0 6.032 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 6.032 * [taylor]: Taking taylor expansion of -1 in N 6.032 * [backup-simplify]: Simplify -1 into -1 6.032 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 6.032 * [taylor]: Taking taylor expansion of N in N 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 6.032 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.032 * [taylor]: Taking taylor expansion of 1 in N 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.032 * [taylor]: Taking taylor expansion of N in N 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [backup-simplify]: Simplify (/ 1 1) into 1 6.032 * [backup-simplify]: Simplify (- 1) into -1 6.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.033 * [backup-simplify]: Simplify (sqrt 0) into 0 6.034 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.034 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 6.034 * [taylor]: Taking taylor expansion of -1 in N 6.034 * [backup-simplify]: Simplify -1 into -1 6.034 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 6.034 * [taylor]: Taking taylor expansion of N in N 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 6.034 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.034 * [taylor]: Taking taylor expansion of 1 in N 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.034 * [taylor]: Taking taylor expansion of N in N 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [backup-simplify]: Simplify (/ 1 1) into 1 6.034 * [backup-simplify]: Simplify (- 1) into -1 6.035 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.035 * [backup-simplify]: Simplify (sqrt 0) into 0 6.036 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.036 * [backup-simplify]: Simplify (* 0 0) into 0 6.036 * [backup-simplify]: Simplify (* -1 0) into 0 6.036 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 6.037 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.038 * [backup-simplify]: Simplify (- 0) into 0 6.038 * [backup-simplify]: Simplify (+ 1 0) into 1 6.040 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.041 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 6.043 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 6.043 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (- 0) into 0 6.044 * [backup-simplify]: Simplify (+ 0 0) into 0 6.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.048 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.050 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 6.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.052 * [backup-simplify]: Simplify (- 0) into 0 6.052 * [backup-simplify]: Simplify (+ 0 0) into 0 6.057 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.069 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 6.073 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 6.074 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.075 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 6.076 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 6.076 * [backup-simplify]: Simplify (sqrt (+ 1 N)) into (sqrt (+ N 1)) 6.076 * [approximate]: Taking taylor expansion of (sqrt (+ N 1)) in (N) around 0 6.076 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 6.076 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.076 * [taylor]: Taking taylor expansion of N in N 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 1 into 1 6.076 * [taylor]: Taking taylor expansion of 1 in N 6.076 * [backup-simplify]: Simplify 1 into 1 6.076 * [backup-simplify]: Simplify (+ 0 1) into 1 6.077 * [backup-simplify]: Simplify (sqrt 1) into 1 6.077 * [backup-simplify]: Simplify (+ 1 0) into 1 6.078 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.078 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 6.078 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.078 * [taylor]: Taking taylor expansion of N in N 6.078 * [backup-simplify]: Simplify 0 into 0 6.078 * [backup-simplify]: Simplify 1 into 1 6.078 * [taylor]: Taking taylor expansion of 1 in N 6.078 * [backup-simplify]: Simplify 1 into 1 6.079 * [backup-simplify]: Simplify (+ 0 1) into 1 6.079 * [backup-simplify]: Simplify (sqrt 1) into 1 6.080 * [backup-simplify]: Simplify (+ 1 0) into 1 6.080 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [backup-simplify]: Simplify 1/2 into 1/2 6.081 * [backup-simplify]: Simplify (+ 0 0) into 0 6.082 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 6.082 * [backup-simplify]: Simplify -1/8 into -1/8 6.082 * [backup-simplify]: Simplify (+ (* -1/8 (pow N 2)) (+ (* 1/2 N) 1)) into (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) 6.083 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 N))) into (sqrt (+ (/ 1 N) 1)) 6.083 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in (N) around 0 6.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 6.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.083 * [taylor]: Taking taylor expansion of N in N 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify 1 into 1 6.083 * [backup-simplify]: Simplify (/ 1 1) into 1 6.083 * [taylor]: Taking taylor expansion of 1 in N 6.083 * [backup-simplify]: Simplify 1 into 1 6.084 * [backup-simplify]: Simplify (+ 1 0) into 1 6.084 * [backup-simplify]: Simplify (sqrt 0) into 0 6.086 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 6.086 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.086 * [taylor]: Taking taylor expansion of N in N 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 1 into 1 6.087 * [backup-simplify]: Simplify (/ 1 1) into 1 6.087 * [taylor]: Taking taylor expansion of 1 in N 6.087 * [backup-simplify]: Simplify 1 into 1 6.088 * [backup-simplify]: Simplify (+ 1 0) into 1 6.088 * [backup-simplify]: Simplify (sqrt 0) into 0 6.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (+ 0 1) into 1 6.095 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.095 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.096 * [backup-simplify]: Simplify (+ 0 0) into 0 6.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.100 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.100 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 6.100 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 (- N)))) into (sqrt (- 1 (/ 1 N))) 6.100 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in (N) around 0 6.100 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 6.100 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.100 * [taylor]: Taking taylor expansion of 1 in N 6.100 * [backup-simplify]: Simplify 1 into 1 6.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.100 * [taylor]: Taking taylor expansion of N in N 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify (/ 1 1) into 1 6.101 * [backup-simplify]: Simplify (- 1) into -1 6.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.101 * [backup-simplify]: Simplify (sqrt 0) into 0 6.102 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.102 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 6.102 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 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 (/ 1 N) in N 6.103 * [taylor]: Taking taylor expansion of N in N 6.103 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify 1 into 1 6.103 * [backup-simplify]: Simplify (/ 1 1) into 1 6.103 * [backup-simplify]: Simplify (- 1) into -1 6.103 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.104 * [backup-simplify]: Simplify (sqrt 0) into 0 6.104 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.105 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.105 * [backup-simplify]: Simplify (- 0) into 0 6.106 * [backup-simplify]: Simplify (+ 1 0) into 1 6.107 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.107 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.108 * [backup-simplify]: Simplify (- 0) into 0 6.108 * [backup-simplify]: Simplify (+ 0 0) into 0 6.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.111 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.111 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 6.111 * * * [progress]: simplifying candidates 6.111 * * * * [progress]: [ 1 / 164 ] simplifiying candidate # 6.111 * * * * [progress]: [ 2 / 164 ] simplifiying candidate # 6.111 * * * * [progress]: [ 3 / 164 ] simplifiying candidate # 6.111 * * * * [progress]: [ 4 / 164 ] simplifiying candidate # 6.111 * * * * [progress]: [ 5 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 6 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 7 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 8 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 9 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 10 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 11 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 12 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 13 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 14 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 15 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 16 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 17 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 18 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 19 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 20 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 21 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 22 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 23 / 164 ] simplifiying candidate #real (real->posit16 (log (sqrt (+ 1 N))))) (log (/ (sqrt (+ 1 N)) N))))> 6.112 * * * * [progress]: [ 24 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 25 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 26 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 27 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 28 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 29 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 30 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 31 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 32 / 164 ] simplifiying candidate # 6.112 * * * * [progress]: [ 33 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 34 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 35 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 36 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 37 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 38 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 39 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 40 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 41 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 42 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 43 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 44 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 45 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 46 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 47 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 48 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 49 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 50 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 51 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 52 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 53 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 54 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 55 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 56 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 57 / 164 ] simplifiying candidate # 6.113 * * * * [progress]: [ 58 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 59 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 60 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 61 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 62 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 63 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 64 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 65 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 66 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 67 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 68 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 69 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 70 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 71 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 72 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 73 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 74 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 75 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 76 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 77 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 78 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 79 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 80 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 81 / 164 ] simplifiying candidate #real (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))))> 6.114 * * * * [progress]: [ 82 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 83 / 164 ] simplifiying candidate # 6.114 * * * * [progress]: [ 84 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 85 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 86 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 87 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 88 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 89 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 90 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 91 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 92 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 93 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 94 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 95 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 96 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 97 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 98 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 99 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 100 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 101 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 102 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 103 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 104 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 105 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 106 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 107 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 108 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 109 / 164 ] simplifiying candidate # 6.115 * * * * [progress]: [ 110 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 111 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 112 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 113 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 114 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 115 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 116 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 117 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 118 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 119 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 120 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 121 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 122 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 123 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 124 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 125 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 126 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 127 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 128 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 129 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 130 / 164 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ 1 N)) N))))))> 6.116 * * * * [progress]: [ 131 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 132 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 133 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 134 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 135 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 136 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 137 / 164 ] simplifiying candidate # 6.116 * * * * [progress]: [ 138 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 139 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 140 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 141 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 142 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 143 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 144 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 145 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 146 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 147 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 148 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 149 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 150 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 151 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 152 / 164 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 N)))) N))))> 6.117 * * * * [progress]: [ 153 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 154 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 155 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 156 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 157 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 158 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 159 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 160 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 161 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 162 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 163 / 164 ] simplifiying candidate # 6.117 * * * * [progress]: [ 164 / 164 ] simplifiying candidate # 6.119 * [simplify]: Simplifying: (expm1 (log (sqrt (+ 1 N)))) (log1p (log (sqrt (+ 1 N)))) (log (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log 1) (log (sqrt (+ 1 N))) (log (sqrt (+ (pow 1 3) (pow N 3)))) (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt (- (* 1 1) (* N N)))) (log (sqrt (- 1 N))) (log (+ 1 N)) (log (sqrt (+ 1 N))) (log (+ 1 N)) (log (log (sqrt (+ 1 N)))) (exp (log (sqrt (+ 1 N)))) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (expm1 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (log1p (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N)) (log (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (exp (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (* (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (pow (log (sqrt (+ 1 N))) 3) (pow (log (/ (sqrt (+ 1 N)) N)) 3)) (+ (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (* (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (- (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)))) (- (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) (+ (log (sqrt (+ 1 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(* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)) (/ (cbrt (sqrt (+ 1 N))) (sqrt N)) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1) (/ (cbrt (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 (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ 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(sqrt 1) (sqrt (+ 1 N)) (sqrt 1) (sqrt (+ 1 N)) (sqrt (+ (pow 1 3) (pow N 3))) (sqrt (+ (* 1 1) (- (* N N) (* 1 N)))) (sqrt (- (* 1 1) (* N N))) (sqrt (- 1 N)) (/ 1 2) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (/ 1 N) 1/2) (* 1/8 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 6.121 * * [simplify]: iteration 0: 223 enodes 6.209 * * [simplify]: iteration 1: 478 enodes 6.362 * * [simplify]: iteration 2: 1236 enodes 7.400 * * [simplify]: iteration 3: 4811 enodes 8.685 * * [simplify]: iteration complete: 5000 enodes 8.685 * * [simplify]: Extracting #0: cost 116 inf + 0 8.689 * * [simplify]: Extracting #1: cost 712 inf + 3 8.698 * * [simplify]: Extracting #2: cost 1406 inf + 1221 8.722 * * [simplify]: Extracting #3: cost 1146 inf + 45865 8.750 * * [simplify]: Extracting #4: cost 572 inf + 186074 8.826 * * [simplify]: Extracting #5: cost 118 inf + 336929 8.917 * * [simplify]: Extracting #6: cost 6 inf + 369393 9.019 * * [simplify]: Extracting #7: cost 0 inf + 369785 9.113 * [simplify]: Simplified to: (expm1 (log (sqrt (+ 1 N)))) (log1p (log (sqrt (+ 1 N)))) (log (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (fabs (cbrt (+ 1 N)))) 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(log (/ (sqrt (+ 1 N)) N)) (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (* (log (sqrt (+ 1 N))) (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))))) (fma (log (/ (sqrt (+ 1 N)) N)) (- (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N)))) (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))))) (* (+ 0 (log N)) (- (log1p N) (log N))) (+ 0 (log N)) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (log1p N) (log N)) (fma 2 (log (cbrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (+ 1 N)))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ (sqrt (+ 1 N)) N)))) (+ (log (/ (cbrt (sqrt (+ 1 N))) (cbrt N))) (+ (log (/ (cbrt (sqrt (+ 1 N))) (cbrt N))) (log (sqrt (+ 1 N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)))) (fma 2 (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (+ (log (sqrt (+ 1 N))) (log (/ (fabs (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (/ (fabs (cbrt (+ 1 N))) (sqrt N))) (log (sqrt (+ 1 N)))) (+ (log (fabs (cbrt (+ 1 N)))) (log (sqrt 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(cbrt (+ 1 N))) (cbrt N)) (/ (fabs (cbrt (+ 1 N))) (sqrt N)) (/ (sqrt (cbrt (+ 1 N))) (sqrt N)) (fabs (cbrt (+ 1 N))) (/ (sqrt (cbrt (+ 1 N))) N) (/ (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* N (sqrt (- (fma N N 1) N))) (* (sqrt (- 1 N)) N) (real->posit16 (/ (sqrt (+ 1 N)) N)) (expm1 (sqrt (+ 1 N))) (log1p (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (sqrt (+ 1 N)) (+ 1 N)) (fabs (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) 1 (sqrt (+ 1 N)) 1 (sqrt (+ 1 N)) (sqrt (fma N (* N N) 1)) (sqrt (- (fma N N 1) N)) (sqrt (- 1 (* N N))) (sqrt (- 1 N)) 1/2 (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (fma 1/2 N (* (* N N) (- (* 1/6 N) 1/4))) (- (log +nan.0) (- (/ (/ +nan.0 N) N) (/ +nan.0 N))) (- (log +nan.0) (- (/ (/ +nan.0 N) N) (/ +nan.0 N))) (- N (fma (* N N) 1/2 (log N))) (+ (- (+ (log (- +nan.0)) (log +nan.0)) (log N)) (- (/ +nan.0 N) (/ (/ +nan.0 N) N))) (+ (+ (+ (log (- +nan.0)) (log (/ -1 N))) (- (/ +nan.0 N) (/ (/ +nan.0 N) N))) (log +nan.0)) (+ (fma N -1/8 1/2) (/ 1 N)) (fma (/ -1 (* N N)) +nan.0 (- (/ +nan.0 (* (* N N) N)) (/ +nan.0 N))) (fma (/ -1 (* N N)) +nan.0 (- (/ +nan.0 (* (* N N) N)) (/ +nan.0 N))) (fma (* N N) -1/8 (fma 1/2 N 1)) (- (- (/ +nan.0 N) (/ (/ +nan.0 N) N)) +nan.0) (- (- (/ +nan.0 N) (/ (/ +nan.0 N) N)) +nan.0) 9.127 * * * [progress]: adding candidates to table 9.682 * * [progress]: iteration 4 / 4 9.682 * * * [progress]: picking best candidate 9.694 * * * * [pick]: Picked # 9.694 * * * [progress]: localizing error 9.763 * * * [progress]: generating rewritten candidates 9.763 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 9.774 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 9.785 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 9.796 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 9.853 * * * [progress]: generating series expansions 9.853 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 9.854 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 9.854 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 9.854 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.854 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.854 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.854 * [taylor]: Taking taylor expansion of N in N 9.854 * [backup-simplify]: Simplify 0 into 0 9.854 * [backup-simplify]: Simplify 1 into 1 9.854 * [taylor]: Taking taylor expansion of 1 in N 9.854 * [backup-simplify]: Simplify 1 into 1 9.855 * [backup-simplify]: Simplify (+ 0 1) into 1 9.855 * [backup-simplify]: Simplify (sqrt 1) into 1 9.856 * [backup-simplify]: Simplify (+ 1 0) into 1 9.856 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.857 * [backup-simplify]: Simplify (log 1) into 0 9.857 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.857 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.857 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.857 * [taylor]: Taking taylor expansion of N in N 9.857 * [backup-simplify]: Simplify 0 into 0 9.857 * [backup-simplify]: Simplify 1 into 1 9.857 * [taylor]: Taking taylor expansion of 1 in N 9.857 * [backup-simplify]: Simplify 1 into 1 9.857 * [backup-simplify]: Simplify (+ 0 1) into 1 9.858 * [backup-simplify]: Simplify (sqrt 1) into 1 9.858 * [backup-simplify]: Simplify (+ 1 0) into 1 9.859 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.859 * [backup-simplify]: Simplify (log 1) into 0 9.859 * [backup-simplify]: Simplify 0 into 0 9.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.861 * [backup-simplify]: Simplify 1/2 into 1/2 9.861 * [backup-simplify]: Simplify (+ 0 0) into 0 9.862 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.865 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.866 * [backup-simplify]: Simplify -1/4 into -1/4 9.866 * [backup-simplify]: Simplify (+ 0 0) into 0 9.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.872 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.872 * [backup-simplify]: Simplify 1/6 into 1/6 9.873 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 9.873 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 9.873 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 9.873 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.873 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.873 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.873 * [taylor]: Taking taylor expansion of N in N 9.873 * [backup-simplify]: Simplify 0 into 0 9.873 * [backup-simplify]: Simplify 1 into 1 9.873 * [backup-simplify]: Simplify (/ 1 1) into 1 9.873 * [taylor]: Taking taylor expansion of 1 in N 9.873 * [backup-simplify]: Simplify 1 into 1 9.874 * [backup-simplify]: Simplify (+ 1 0) into 1 9.874 * [backup-simplify]: Simplify (sqrt 0) into 0 9.875 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.875 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.875 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.875 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.875 * [taylor]: Taking taylor expansion of N in N 9.875 * [backup-simplify]: Simplify 0 into 0 9.875 * [backup-simplify]: Simplify 1 into 1 9.875 * [backup-simplify]: Simplify (/ 1 1) into 1 9.875 * [taylor]: Taking taylor expansion of 1 in N 9.875 * [backup-simplify]: Simplify 1 into 1 9.876 * [backup-simplify]: Simplify (+ 1 0) into 1 9.876 * [backup-simplify]: Simplify (sqrt 0) into 0 9.877 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.877 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.880 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.881 * [backup-simplify]: Simplify (+ 0 1) into 1 9.883 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.887 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.887 * [backup-simplify]: Simplify (+ 0 0) into 0 9.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.897 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.898 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.898 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 9.898 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 9.898 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.898 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.898 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.898 * [taylor]: Taking taylor expansion of 1 in N 9.898 * [backup-simplify]: Simplify 1 into 1 9.898 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.898 * [taylor]: Taking taylor expansion of N in N 9.898 * [backup-simplify]: Simplify 0 into 0 9.898 * [backup-simplify]: Simplify 1 into 1 9.898 * [backup-simplify]: Simplify (/ 1 1) into 1 9.899 * [backup-simplify]: Simplify (- 1) into -1 9.899 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.899 * [backup-simplify]: Simplify (sqrt 0) into 0 9.900 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.900 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.900 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.900 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.900 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.900 * [taylor]: Taking taylor expansion of 1 in N 9.900 * [backup-simplify]: Simplify 1 into 1 9.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.900 * [taylor]: Taking taylor expansion of N in N 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify 1 into 1 9.900 * [backup-simplify]: Simplify (/ 1 1) into 1 9.901 * [backup-simplify]: Simplify (- 1) into -1 9.901 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.901 * [backup-simplify]: Simplify (sqrt 0) into 0 9.902 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.902 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.903 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.904 * [backup-simplify]: Simplify (- 0) into 0 9.904 * [backup-simplify]: Simplify (+ 1 0) into 1 9.907 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.913 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.913 * [backup-simplify]: Simplify (- 0) into 0 9.914 * [backup-simplify]: Simplify (+ 0 0) into 0 9.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.924 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.924 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.924 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.924 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 9.924 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 9.924 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 9.924 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.924 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.924 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.924 * [taylor]: Taking taylor expansion of N in N 9.924 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [taylor]: Taking taylor expansion of 1 in N 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [backup-simplify]: Simplify (+ 0 1) into 1 9.925 * [backup-simplify]: Simplify (sqrt 1) into 1 9.925 * [backup-simplify]: Simplify (+ 1 0) into 1 9.926 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.926 * [backup-simplify]: Simplify (log 1) into 0 9.926 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.926 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.926 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.926 * [taylor]: Taking taylor expansion of N in N 9.926 * [backup-simplify]: Simplify 0 into 0 9.926 * [backup-simplify]: Simplify 1 into 1 9.926 * [taylor]: Taking taylor expansion of 1 in N 9.926 * [backup-simplify]: Simplify 1 into 1 9.926 * [backup-simplify]: Simplify (+ 0 1) into 1 9.927 * [backup-simplify]: Simplify (sqrt 1) into 1 9.927 * [backup-simplify]: Simplify (+ 1 0) into 1 9.927 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.927 * [backup-simplify]: Simplify (log 1) into 0 9.927 * [backup-simplify]: Simplify 0 into 0 9.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.928 * [backup-simplify]: Simplify 1/2 into 1/2 9.928 * [backup-simplify]: Simplify (+ 0 0) into 0 9.929 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.931 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.931 * [backup-simplify]: Simplify -1/4 into -1/4 9.931 * [backup-simplify]: Simplify (+ 0 0) into 0 9.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.935 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.935 * [backup-simplify]: Simplify 1/6 into 1/6 9.935 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 9.935 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 9.935 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 9.935 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.935 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.935 * [taylor]: Taking taylor expansion of N in N 9.935 * [backup-simplify]: Simplify 0 into 0 9.935 * [backup-simplify]: Simplify 1 into 1 9.936 * [backup-simplify]: Simplify (/ 1 1) into 1 9.936 * [taylor]: Taking taylor expansion of 1 in N 9.936 * [backup-simplify]: Simplify 1 into 1 9.936 * [backup-simplify]: Simplify (+ 1 0) into 1 9.936 * [backup-simplify]: Simplify (sqrt 0) into 0 9.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.938 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.938 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.938 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.938 * [taylor]: Taking taylor expansion of N in N 9.938 * [backup-simplify]: Simplify 0 into 0 9.938 * [backup-simplify]: Simplify 1 into 1 9.938 * [backup-simplify]: Simplify (/ 1 1) into 1 9.938 * [taylor]: Taking taylor expansion of 1 in N 9.938 * [backup-simplify]: Simplify 1 into 1 9.938 * [backup-simplify]: Simplify (+ 1 0) into 1 9.938 * [backup-simplify]: Simplify (sqrt 0) into 0 9.939 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.940 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.940 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.941 * [backup-simplify]: Simplify (+ 0 1) into 1 9.944 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.950 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.950 * [backup-simplify]: Simplify (+ 0 0) into 0 9.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.962 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.962 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.962 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 9.962 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 9.962 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.962 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.962 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.962 * [taylor]: Taking taylor expansion of 1 in N 9.962 * [backup-simplify]: Simplify 1 into 1 9.962 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.962 * [taylor]: Taking taylor expansion of N in N 9.962 * [backup-simplify]: Simplify 0 into 0 9.962 * [backup-simplify]: Simplify 1 into 1 9.963 * [backup-simplify]: Simplify (/ 1 1) into 1 9.963 * [backup-simplify]: Simplify (- 1) into -1 9.963 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.963 * [backup-simplify]: Simplify (sqrt 0) into 0 9.964 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.965 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.965 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.965 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.965 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.965 * [taylor]: Taking taylor expansion of 1 in N 9.965 * [backup-simplify]: Simplify 1 into 1 9.965 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.965 * [taylor]: Taking taylor expansion of N in N 9.965 * [backup-simplify]: Simplify 0 into 0 9.965 * [backup-simplify]: Simplify 1 into 1 9.965 * [backup-simplify]: Simplify (/ 1 1) into 1 9.965 * [backup-simplify]: Simplify (- 1) into -1 9.965 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.966 * [backup-simplify]: Simplify (sqrt 0) into 0 9.966 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.967 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.967 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.968 * [backup-simplify]: Simplify (- 0) into 0 9.968 * [backup-simplify]: Simplify (+ 1 0) into 1 9.970 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.979 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.979 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.981 * [backup-simplify]: Simplify (- 0) into 0 9.981 * [backup-simplify]: Simplify (+ 0 0) into 0 9.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.999 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.999 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.000 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 10.000 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 10.000 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 10.000 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 10.000 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 10.000 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 10.001 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.001 * [taylor]: Taking taylor expansion of N in N 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 1 into 1 10.001 * [taylor]: Taking taylor expansion of 1 in N 10.001 * [backup-simplify]: Simplify 1 into 1 10.001 * [backup-simplify]: Simplify (+ 0 1) into 1 10.001 * [backup-simplify]: Simplify (sqrt 1) into 1 10.002 * [backup-simplify]: Simplify (+ 1 0) into 1 10.002 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.003 * [backup-simplify]: Simplify (log 1) into 0 10.003 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 10.003 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 10.003 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.003 * [taylor]: Taking taylor expansion of N in N 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [taylor]: Taking taylor expansion of 1 in N 10.003 * [backup-simplify]: Simplify 1 into 1 10.004 * [backup-simplify]: Simplify (+ 0 1) into 1 10.004 * [backup-simplify]: Simplify (sqrt 1) into 1 10.004 * [backup-simplify]: Simplify (+ 1 0) into 1 10.005 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.005 * [backup-simplify]: Simplify (log 1) into 0 10.005 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 10.007 * [backup-simplify]: Simplify 1/2 into 1/2 10.007 * [backup-simplify]: Simplify (+ 0 0) into 0 10.008 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 10.011 * [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 10.011 * [backup-simplify]: Simplify -1/4 into -1/4 10.012 * [backup-simplify]: Simplify (+ 0 0) into 0 10.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 10.019 * [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 10.019 * [backup-simplify]: Simplify 1/6 into 1/6 10.019 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 10.019 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 10.019 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 10.019 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 10.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 10.019 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.019 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.019 * [taylor]: Taking taylor expansion of N in N 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify 1 into 1 10.020 * [backup-simplify]: Simplify (/ 1 1) into 1 10.020 * [taylor]: Taking taylor expansion of 1 in N 10.020 * [backup-simplify]: Simplify 1 into 1 10.020 * [backup-simplify]: Simplify (+ 1 0) into 1 10.021 * [backup-simplify]: Simplify (sqrt 0) into 0 10.022 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.022 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.023 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 10.023 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 10.023 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.023 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.023 * [taylor]: Taking taylor expansion of N in N 10.023 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify 1 into 1 10.023 * [backup-simplify]: Simplify (/ 1 1) into 1 10.023 * [taylor]: Taking taylor expansion of 1 in N 10.023 * [backup-simplify]: Simplify 1 into 1 10.024 * [backup-simplify]: Simplify (+ 1 0) into 1 10.024 * [backup-simplify]: Simplify (sqrt 0) into 0 10.025 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.025 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.026 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.027 * [backup-simplify]: Simplify (+ 0 1) into 1 10.030 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.037 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.038 * [backup-simplify]: Simplify (+ 0 0) into 0 10.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.058 * [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 10.058 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.059 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 10.059 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 10.059 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 10.059 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 10.059 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 10.059 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.059 * [taylor]: Taking taylor expansion of 1 in N 10.059 * [backup-simplify]: Simplify 1 into 1 10.059 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.059 * [taylor]: Taking taylor expansion of N in N 10.059 * [backup-simplify]: Simplify 0 into 0 10.059 * [backup-simplify]: Simplify 1 into 1 10.060 * [backup-simplify]: Simplify (/ 1 1) into 1 10.060 * [backup-simplify]: Simplify (- 1) into -1 10.060 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.061 * [backup-simplify]: Simplify (sqrt 0) into 0 10.062 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.063 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.063 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 10.063 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 10.063 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.063 * [taylor]: Taking taylor expansion of 1 in N 10.063 * [backup-simplify]: Simplify 1 into 1 10.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.063 * [taylor]: Taking taylor expansion of N in N 10.063 * [backup-simplify]: Simplify 0 into 0 10.063 * [backup-simplify]: Simplify 1 into 1 10.063 * [backup-simplify]: Simplify (/ 1 1) into 1 10.064 * [backup-simplify]: Simplify (- 1) into -1 10.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.064 * [backup-simplify]: Simplify (sqrt 0) into 0 10.065 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.065 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.065 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.066 * [backup-simplify]: Simplify (- 0) into 0 10.066 * [backup-simplify]: Simplify (+ 1 0) into 1 10.068 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.072 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.073 * [backup-simplify]: Simplify (- 0) into 0 10.073 * [backup-simplify]: Simplify (+ 0 0) into 0 10.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.083 * [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 10.083 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.084 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 10.084 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 10.084 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) into (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) 10.084 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in (N) around 0 10.084 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 10.084 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 10.084 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 10.084 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 10.084 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.084 * [taylor]: Taking taylor expansion of N in N 10.084 * [backup-simplify]: Simplify 0 into 0 10.084 * [backup-simplify]: Simplify 1 into 1 10.084 * [taylor]: Taking taylor expansion of 1 in N 10.084 * [backup-simplify]: Simplify 1 into 1 10.084 * [backup-simplify]: Simplify (+ 0 1) into 1 10.085 * [backup-simplify]: Simplify (sqrt 1) into 1 10.085 * [backup-simplify]: Simplify (+ 1 0) into 1 10.085 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.085 * [taylor]: Taking taylor expansion of N in N 10.085 * [backup-simplify]: Simplify 0 into 0 10.085 * [backup-simplify]: Simplify 1 into 1 10.086 * [backup-simplify]: Simplify (/ 1 1) into 1 10.086 * [backup-simplify]: Simplify (* 1 1) into 1 10.086 * [backup-simplify]: Simplify (log 1) into 0 10.086 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 10.086 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 10.086 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.086 * [taylor]: Taking taylor expansion of N in N 10.086 * [backup-simplify]: Simplify 0 into 0 10.086 * [backup-simplify]: Simplify 1 into 1 10.086 * [taylor]: Taking taylor expansion of 1 in N 10.086 * [backup-simplify]: Simplify 1 into 1 10.086 * [backup-simplify]: Simplify (+ 0 1) into 1 10.087 * [backup-simplify]: Simplify (sqrt 1) into 1 10.087 * [backup-simplify]: Simplify (+ 1 0) into 1 10.088 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.088 * [backup-simplify]: Simplify (log 1) into 0 10.088 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 10.088 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 10.088 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 10.088 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 10.088 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.088 * [taylor]: Taking taylor expansion of N in N 10.088 * [backup-simplify]: Simplify 0 into 0 10.088 * [backup-simplify]: Simplify 1 into 1 10.088 * [taylor]: Taking taylor expansion of 1 in N 10.088 * [backup-simplify]: Simplify 1 into 1 10.088 * [backup-simplify]: Simplify (+ 0 1) into 1 10.088 * [backup-simplify]: Simplify (sqrt 1) into 1 10.089 * [backup-simplify]: Simplify (+ 1 0) into 1 10.089 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.089 * [taylor]: Taking taylor expansion of N in N 10.089 * [backup-simplify]: Simplify 0 into 0 10.089 * [backup-simplify]: Simplify 1 into 1 10.089 * [backup-simplify]: Simplify (/ 1 1) into 1 10.090 * [backup-simplify]: Simplify (* 1 1) into 1 10.090 * [backup-simplify]: Simplify (log 1) into 0 10.090 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 10.090 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 10.090 * [taylor]: Taking taylor expansion of (+ N 1) in N 10.090 * [taylor]: Taking taylor expansion of N in N 10.090 * [backup-simplify]: Simplify 0 into 0 10.090 * [backup-simplify]: Simplify 1 into 1 10.090 * [taylor]: Taking taylor expansion of 1 in N 10.090 * [backup-simplify]: Simplify 1 into 1 10.090 * [backup-simplify]: Simplify (+ 0 1) into 1 10.091 * [backup-simplify]: Simplify (sqrt 1) into 1 10.091 * [backup-simplify]: Simplify (+ 1 0) into 1 10.091 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 10.092 * [backup-simplify]: Simplify (log 1) into 0 10.092 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.092 * [backup-simplify]: Simplify (+ (- (log N)) 0) into (- (log N)) 10.092 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 10.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 10.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 10.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 10.097 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.097 * [backup-simplify]: Simplify 1 into 1 10.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.098 * [backup-simplify]: Simplify (+ 0 0) into 0 10.099 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 10.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 10.109 * [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 10.110 * [backup-simplify]: Simplify (+ 0 0) into 0 10.111 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 10.114 * [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 10.114 * [backup-simplify]: Simplify (+ -1/4 -1/4) into -1/2 10.114 * [backup-simplify]: Simplify -1/2 into -1/2 10.115 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 10.115 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 N)))) (log (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) 10.115 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 10.115 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 10.115 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 10.115 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 10.115 * [taylor]: Taking taylor expansion of N in N 10.115 * [backup-simplify]: Simplify 0 into 0 10.115 * [backup-simplify]: Simplify 1 into 1 10.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 10.115 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.115 * [taylor]: Taking taylor expansion of N in N 10.115 * [backup-simplify]: Simplify 0 into 0 10.115 * [backup-simplify]: Simplify 1 into 1 10.116 * [backup-simplify]: Simplify (/ 1 1) into 1 10.116 * [taylor]: Taking taylor expansion of 1 in N 10.116 * [backup-simplify]: Simplify 1 into 1 10.116 * [backup-simplify]: Simplify (+ 1 0) into 1 10.117 * [backup-simplify]: Simplify (sqrt 0) into 0 10.118 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.119 * [backup-simplify]: Simplify (* 0 0) into 0 10.119 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 10.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.120 * [backup-simplify]: Simplify (+ 0 1) into 1 10.122 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.123 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 10.124 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 10.124 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 10.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 10.124 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.124 * [taylor]: Taking taylor expansion of N in N 10.124 * [backup-simplify]: Simplify 0 into 0 10.124 * [backup-simplify]: Simplify 1 into 1 10.124 * [backup-simplify]: Simplify (/ 1 1) into 1 10.124 * [taylor]: Taking taylor expansion of 1 in N 10.124 * [backup-simplify]: Simplify 1 into 1 10.125 * [backup-simplify]: Simplify (+ 1 0) into 1 10.125 * [backup-simplify]: Simplify (sqrt 0) into 0 10.126 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.126 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.126 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 10.126 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 10.126 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 10.126 * [taylor]: Taking taylor expansion of N in N 10.126 * [backup-simplify]: Simplify 0 into 0 10.126 * [backup-simplify]: Simplify 1 into 1 10.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 10.126 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.126 * [taylor]: Taking taylor expansion of N in N 10.126 * [backup-simplify]: Simplify 0 into 0 10.126 * [backup-simplify]: Simplify 1 into 1 10.126 * [backup-simplify]: Simplify (/ 1 1) into 1 10.126 * [taylor]: Taking taylor expansion of 1 in N 10.126 * [backup-simplify]: Simplify 1 into 1 10.127 * [backup-simplify]: Simplify (+ 1 0) into 1 10.127 * [backup-simplify]: Simplify (sqrt 0) into 0 10.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.128 * [backup-simplify]: Simplify (* 0 0) into 0 10.128 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 10.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.129 * [backup-simplify]: Simplify (+ 0 1) into 1 10.131 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.132 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 10.133 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 10.133 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 10.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 10.133 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.133 * [taylor]: Taking taylor expansion of N in N 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 1 into 1 10.133 * [backup-simplify]: Simplify (/ 1 1) into 1 10.133 * [taylor]: Taking taylor expansion of 1 in N 10.133 * [backup-simplify]: Simplify 1 into 1 10.134 * [backup-simplify]: Simplify (+ 1 0) into 1 10.134 * [backup-simplify]: Simplify (sqrt 0) into 0 10.135 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.135 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.136 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 10.137 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 10.137 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 10.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.138 * [backup-simplify]: Simplify (+ 0 0) into 0 10.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.143 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 10.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 10.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.148 * [backup-simplify]: Simplify (+ 0 1) into 1 10.150 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.156 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.156 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.158 * [backup-simplify]: Simplify (+ 0 0) into 0 10.163 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.167 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 10.185 * [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 10.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.186 * [backup-simplify]: Simplify (+ 0 0) into 0 10.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.205 * [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 10.205 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.206 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.208 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 10.208 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 (- N))))) (log (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) 10.208 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in (N) around 0 10.208 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 10.208 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 10.208 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 10.208 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.209 * [taylor]: Taking taylor expansion of 1 in N 10.209 * [backup-simplify]: Simplify 1 into 1 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 10.209 * [backup-simplify]: Simplify (/ 1 1) into 1 10.209 * [backup-simplify]: Simplify (- 1) into -1 10.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.210 * [backup-simplify]: Simplify (sqrt 0) into 0 10.212 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.212 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.212 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 10.212 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 10.212 * [taylor]: Taking taylor expansion of -1 in N 10.212 * [backup-simplify]: Simplify -1 into -1 10.212 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 10.212 * [taylor]: Taking taylor expansion of N in N 10.212 * [backup-simplify]: Simplify 0 into 0 10.212 * [backup-simplify]: Simplify 1 into 1 10.212 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 10.212 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.212 * [taylor]: Taking taylor expansion of 1 in N 10.212 * [backup-simplify]: Simplify 1 into 1 10.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.212 * [taylor]: Taking taylor expansion of N in N 10.212 * [backup-simplify]: Simplify 0 into 0 10.212 * [backup-simplify]: Simplify 1 into 1 10.213 * [backup-simplify]: Simplify (/ 1 1) into 1 10.213 * [backup-simplify]: Simplify (- 1) into -1 10.214 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.214 * [backup-simplify]: Simplify (sqrt 0) into 0 10.215 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.216 * [backup-simplify]: Simplify (* 0 0) into 0 10.216 * [backup-simplify]: Simplify (* -1 0) into 0 10.217 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 10.217 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 10.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.218 * [backup-simplify]: Simplify (- 0) into 0 10.219 * [backup-simplify]: Simplify (+ 1 0) into 1 10.222 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.231 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 10.233 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 10.234 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 10.234 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 10.234 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 10.234 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 10.234 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.234 * [taylor]: Taking taylor expansion of 1 in N 10.234 * [backup-simplify]: Simplify 1 into 1 10.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.234 * [taylor]: Taking taylor expansion of N in N 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify 1 into 1 10.234 * [backup-simplify]: Simplify (/ 1 1) into 1 10.235 * [backup-simplify]: Simplify (- 1) into -1 10.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.236 * [backup-simplify]: Simplify (sqrt 0) into 0 10.237 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.237 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.237 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 10.237 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 10.238 * [taylor]: Taking taylor expansion of -1 in N 10.238 * [backup-simplify]: Simplify -1 into -1 10.238 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 10.238 * [taylor]: Taking taylor expansion of N in N 10.238 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify 1 into 1 10.238 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 10.238 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.238 * [taylor]: Taking taylor expansion of 1 in N 10.238 * [backup-simplify]: Simplify 1 into 1 10.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.238 * [taylor]: Taking taylor expansion of N in N 10.238 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify 1 into 1 10.238 * [backup-simplify]: Simplify (/ 1 1) into 1 10.239 * [backup-simplify]: Simplify (- 1) into -1 10.239 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.240 * [backup-simplify]: Simplify (sqrt 0) into 0 10.241 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.241 * [backup-simplify]: Simplify (* 0 0) into 0 10.242 * [backup-simplify]: Simplify (* -1 0) into 0 10.242 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 10.243 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 10.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.244 * [backup-simplify]: Simplify (- 0) into 0 10.245 * [backup-simplify]: Simplify (+ 1 0) into 1 10.248 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.250 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 10.253 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 10.253 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 10.255 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 10.256 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 10.257 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 10.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.259 * [backup-simplify]: Simplify (- 0) into 0 10.259 * [backup-simplify]: Simplify (+ 1 0) into 1 10.263 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.270 * [backup-simplify]: Simplify (- 0) into 0 10.271 * [backup-simplify]: Simplify (+ 0 0) into 0 10.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.278 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 10.280 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 10.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 10.287 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.287 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.288 * [backup-simplify]: Simplify (- 0) into 0 10.288 * [backup-simplify]: Simplify (+ 0 0) into 0 10.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.298 * [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 10.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.299 * [backup-simplify]: Simplify (- 0) into 0 10.299 * [backup-simplify]: Simplify (+ 0 0) into 0 10.302 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.304 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 10.307 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 10.316 * [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 10.317 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.317 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.319 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 10.319 * * * [progress]: simplifying candidates 10.319 * * * * [progress]: [ 1 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 2 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 3 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 4 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 5 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 6 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 7 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 8 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 9 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 10 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 11 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 12 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 13 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 14 / 140 ] simplifiying candidate # 10.319 * * * * [progress]: [ 15 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 16 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 17 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 18 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 19 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 20 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 21 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 22 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 23 / 140 ] simplifiying candidate #real (real->posit16 (log (sqrt (+ 1 N))))) (log (/ (sqrt (+ 1 N)) N))))))> 10.320 * * * * [progress]: [ 24 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 25 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 26 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 27 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 28 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 29 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 30 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 31 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 32 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 33 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 34 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 35 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 36 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 37 / 140 ] simplifiying candidate # 10.320 * * * * [progress]: [ 38 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 39 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 40 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 41 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 42 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 43 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 44 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 45 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 46 / 140 ] simplifiying candidate #real (real->posit16 (log (sqrt (+ 1 N))))) (log (/ (sqrt (+ 1 N)) N))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))))> 10.321 * * * * [progress]: [ 47 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 48 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 49 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 50 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 51 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 52 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 53 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 54 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 55 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 56 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 57 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 58 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 59 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 60 / 140 ] simplifiying candidate # 10.321 * * * * [progress]: [ 61 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 62 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 63 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 64 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 65 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 66 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 67 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 68 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 69 / 140 ] simplifiying candidate #real (real->posit16 (log (sqrt (+ 1 N))))) (log (/ (sqrt (+ 1 N)) N)))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))))> 10.322 * * * * [progress]: [ 70 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 71 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 72 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 73 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 74 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 75 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 76 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 77 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 78 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 79 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 80 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 81 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 82 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 83 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 84 / 140 ] simplifiying candidate # 10.322 * * * * [progress]: [ 85 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 86 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 87 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 88 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 89 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 90 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 91 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 92 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 93 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 94 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 95 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 96 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 97 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 98 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 99 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 100 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 101 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 102 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 103 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 104 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 105 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 106 / 140 ] simplifiying candidate # 10.323 * * * * [progress]: [ 107 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 108 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 109 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 110 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 111 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 112 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 113 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 114 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 115 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 116 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 117 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 118 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 119 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 120 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 121 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 122 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 123 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 124 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 125 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 126 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 127 / 140 ] simplifiying candidate #real (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))))))> 10.324 * * * * [progress]: [ 128 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 129 / 140 ] simplifiying candidate # 10.324 * * * * [progress]: [ 130 / 140 ] simplifiying candidate # 10.325 * * * * [progress]: [ 131 / 140 ] simplifiying candidate # 10.325 * * * * [progress]: [ 132 / 140 ] simplifiying candidate # 10.325 * * * * [progress]: [ 133 / 140 ] simplifiying candidate # 10.325 * * * * [progress]: [ 134 / 140 ] simplifiying candidate # 10.325 * * * * [progress]: [ 135 / 140 ] simplifiying candidate # 10.325 * * * * [progress]: [ 136 / 140 ] simplifiying candidate # 10.325 * * * * [progress]: [ 137 / 140 ] simplifiying candidate # 10.325 * * * * [progress]: [ 138 / 140 ] simplifiying candidate # 10.325 * * * * [progress]: [ 139 / 140 ] simplifiying candidate # 10.325 * * * * [progress]: [ 140 / 140 ] simplifiying candidate # 10.326 * [simplify]: Simplifying: (expm1 (log (sqrt (+ 1 N)))) (log1p (log (sqrt (+ 1 N)))) (log (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log 1) (log (sqrt (+ 1 N))) (log (sqrt (+ (pow 1 3) (pow N 3)))) (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt (- (* 1 1) (* N N)))) (log (sqrt (- 1 N))) (log (+ 1 N)) (log (sqrt (+ 1 N))) (log (+ 1 N)) (log (log (sqrt (+ 1 N)))) (exp (log (sqrt (+ 1 N)))) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (expm1 (log (sqrt (+ 1 N)))) (log1p (log (sqrt (+ 1 N)))) (log (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log 1) (log (sqrt (+ 1 N))) (log (sqrt (+ (pow 1 3) (pow N 3)))) (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt (- (* 1 1) (* N N)))) (log (sqrt (- 1 N))) (log (+ 1 N)) (log (sqrt (+ 1 N))) (log (+ 1 N)) (log (log (sqrt (+ 1 N)))) (exp (log (sqrt (+ 1 N)))) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (expm1 (log (sqrt (+ 1 N)))) (log1p (log (sqrt (+ 1 N)))) (log (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log 1) (log (sqrt (+ 1 N))) (log (sqrt (+ (pow 1 3) (pow N 3)))) (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt (- (* 1 1) (* N N)))) (log (sqrt (- 1 N))) (log (+ 1 N)) (log (sqrt (+ 1 N))) (log (+ 1 N)) (log (log (sqrt (+ 1 N)))) (exp (log (sqrt (+ 1 N)))) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (expm1 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (log1p (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N)) (log (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (exp (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (* (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (pow (log (sqrt (+ 1 N))) 3) (pow (log (/ (sqrt (+ 1 N)) N)) 3)) (+ (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (* (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (- (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)))) (- (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 1))) (+ (log (sqrt (+ 1 N))) (log 1)) (+ (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (cbrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (/ (sqrt (+ 1 N)) N))) (- (log (sqrt (- 1 N))) (log (/ (sqrt (+ 1 N)) N))) (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 10.328 * * [simplify]: iteration 0: 170 enodes 10.406 * * [simplify]: iteration 1: 364 enodes 10.554 * * [simplify]: iteration 2: 852 enodes 11.092 * * [simplify]: iteration 3: 3153 enodes 13.183 * * [simplify]: iteration complete: 5004 enodes 13.184 * * [simplify]: Extracting #0: cost 58 inf + 0 13.185 * * [simplify]: Extracting #1: cost 380 inf + 1 13.189 * * [simplify]: Extracting #2: cost 712 inf + 2039 13.199 * * [simplify]: Extracting #3: cost 733 inf + 15418 13.220 * * [simplify]: Extracting #4: cost 544 inf + 64455 13.260 * * [simplify]: Extracting #5: cost 132 inf + 190789 13.337 * * [simplify]: Extracting #6: cost 2 inf + 233035 13.409 * * [simplify]: Extracting #7: cost 0 inf + 233451 13.492 * [simplify]: Simplified to: (expm1 (log (sqrt (+ N 1)))) (log1p (log (sqrt (+ N 1)))) (log (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1))))) (log (cbrt (sqrt (+ N 1)))) (log (fabs (cbrt (+ N 1)))) (log (sqrt (cbrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) 0 (log 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(* N N) -1/4 (* N (fma (* N N) 1/6 1/2))) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (- N (fma (* N N) 1/2 (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (/ +nan.0 N))) (fma (/ 1 N) (/ +nan.0 N) (log N))) (fma (- +nan.0) (/ -1 N) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (+ (log (/ -1 N)) (log (- +nan.0))))) 13.513 * * * [progress]: adding candidates to table 14.369 * [progress]: [Phase 3 of 3] Extracting. 14.369 * * [regime]: Finding splitpoints for: (# # #) 14.370 * * * [regime-changes]: Trying 1 branch expressions: (N) 14.370 * * * * [regimes]: Trying to branch on N from (# # #) 14.417 * * * [regime]: Found split indices: #