17.987 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.088 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.094 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.094 * * [simplify]: iteration 0: 6 enodes 0.096 * * [simplify]: iteration 1: 11 enodes 0.100 * * [simplify]: iteration 2: 13 enodes 0.103 * * [simplify]: iteration complete: 13 enodes 0.103 * * [simplify]: Extracting #0: cost 1 inf + 0 0.103 * * [simplify]: Extracting #1: cost 4 inf + 0 0.103 * * [simplify]: Extracting #2: cost 6 inf + 0 0.104 * * [simplify]: Extracting #3: cost 2 inf + 475 0.104 * * [simplify]: Extracting #4: cost 0 inf + 518 0.104 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.111 * * [progress]: iteration 1 / 4 0.111 * * * [progress]: picking best candidate 0.115 * * * * [pick]: Picked # 0.115 * * * [progress]: localizing error 0.123 * * * [progress]: generating rewritten candidates 0.124 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.130 * * * [progress]: generating series expansions 0.130 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.130 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.130 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.130 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.130 * [taylor]: Taking taylor expansion of (log1p N) in N 0.130 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.130 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.130 * [taylor]: Taking taylor expansion of 1 in N 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of N in N 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (+ 1 0) into 1 0.131 * [backup-simplify]: Simplify (log 1) into 0 0.131 * [taylor]: Taking taylor expansion of (log N) in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (log 1) into 0 0.131 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.131 * [taylor]: Taking taylor expansion of (log1p N) in N 0.131 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.131 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.131 * [taylor]: Taking taylor expansion of 1 in N 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of N in N 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (+ 1 0) into 1 0.132 * [backup-simplify]: Simplify (log 1) into 0 0.132 * [taylor]: Taking taylor expansion of (log N) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (log 1) into 0 0.133 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.133 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.133 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.133 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.133 * [backup-simplify]: Simplify (+ 0 1) into 1 0.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.140 * [backup-simplify]: Simplify -1/2 into -1/2 0.140 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.140 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.140 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.140 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.140 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.140 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.140 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.140 * [taylor]: Taking taylor expansion of 1 in N 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (+ 0 1) into 1 0.141 * [backup-simplify]: Simplify (log 1) into 0 0.141 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (log 1) into 0 0.141 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.141 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.142 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.142 * [taylor]: Taking taylor expansion of (+ 1 (/ 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 (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (+ 0 1) into 1 0.142 * [backup-simplify]: Simplify (log 1) into 0 0.142 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [backup-simplify]: Simplify (log 1) into 0 0.144 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.144 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.144 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.144 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.149 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.159 * [backup-simplify]: Simplify -1/2 into -1/2 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [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 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [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 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.173 * [backup-simplify]: Simplify 1/3 into 1/3 0.174 * [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)))) 0.174 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.174 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.174 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.174 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.174 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.174 * [taylor]: Taking taylor expansion of 1 in N 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.174 * [taylor]: Taking taylor expansion of -1 in N 0.174 * [backup-simplify]: Simplify -1 into -1 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ -1 1) into -1 0.183 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.184 * [backup-simplify]: Simplify (log -1) into (log -1) 0.184 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.184 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.184 * [taylor]: Taking taylor expansion of -1 in N 0.184 * [backup-simplify]: Simplify -1 into -1 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ -1 1) into -1 0.184 * [backup-simplify]: Simplify (log -1) into (log -1) 0.184 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.184 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.184 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.184 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.184 * [taylor]: Taking taylor expansion of 1 in N 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.185 * [taylor]: Taking taylor expansion of -1 in N 0.185 * [backup-simplify]: Simplify -1 into -1 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ -1 1) into -1 0.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.185 * [backup-simplify]: Simplify (log -1) into (log -1) 0.185 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.185 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.185 * [taylor]: Taking taylor expansion of -1 in N 0.185 * [backup-simplify]: Simplify -1 into -1 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ -1 1) into -1 0.186 * [backup-simplify]: Simplify (log -1) into (log -1) 0.187 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.187 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.187 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.188 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ -1 0) into -1 0.191 * [backup-simplify]: Simplify -1 into -1 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.197 * [backup-simplify]: Simplify -1/2 into -1/2 0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [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 0.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [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 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.205 * [backup-simplify]: Simplify -1/3 into -1/3 0.205 * [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)))) 0.205 * * * [progress]: simplifying candidates 0.205 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.205 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.206 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.207 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.207 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.207 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.207 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.207 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.207 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.207 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.207 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.207 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.207 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.207 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.208 * [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)))) 0.209 * * [simplify]: iteration 0: 83 enodes 0.232 * * [simplify]: iteration 1: 185 enodes 0.299 * * [simplify]: iteration 2: 403 enodes 0.489 * * [simplify]: iteration 3: 1137 enodes 0.777 * * [simplify]: iteration complete: 2016 enodes 0.777 * * [simplify]: Extracting #0: cost 24 inf + 0 0.778 * * [simplify]: Extracting #1: cost 222 inf + 0 0.781 * * [simplify]: Extracting #2: cost 358 inf + 4275 0.789 * * [simplify]: Extracting #3: cost 193 inf + 40631 0.808 * * [simplify]: Extracting #4: cost 69 inf + 67855 0.830 * * [simplify]: Extracting #5: cost 9 inf + 87815 0.852 * * [simplify]: Extracting #6: cost 2 inf + 90833 0.884 * * [simplify]: Extracting #7: cost 0 inf + 91378 0.911 * [simplify]: Simplified to: (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log 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) (+ (log N) (log1p N)))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log N) (log1p N)) (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (fma -2 (log (cbrt N)) (log1p N)) (- (log1p N) (log (sqrt N))) (log1p N) (- (log N)) (real->posit16 (- (log1p N) (log N))) (- N (fma (* N N) 1/2 (log N))) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) 0.913 * * * [progress]: adding candidates to table 1.015 * * [progress]: iteration 2 / 4 1.016 * * * [progress]: picking best candidate 1.021 * * * * [pick]: Picked # 1.021 * * * [progress]: localizing error 1.035 * * * [progress]: generating rewritten candidates 1.035 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.036 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.037 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.038 * * * [progress]: generating series expansions 1.038 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.038 * [backup-simplify]: Simplify (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) into (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 1.038 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in (N) around 0 1.038 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 1.039 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 1.039 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 1.039 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.039 * [taylor]: Taking taylor expansion of (log1p N) in N 1.039 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.039 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.039 * [taylor]: Taking taylor expansion of 1 in N 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [taylor]: Taking taylor expansion of N in N 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [backup-simplify]: Simplify (+ 1 0) into 1 1.039 * [backup-simplify]: Simplify (log 1) into 0 1.040 * [backup-simplify]: Simplify (+ 0 1) into 1 1.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.041 * [backup-simplify]: Simplify (sqrt 0) into 0 1.042 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.042 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.042 * [taylor]: Taking taylor expansion of (log1p N) in N 1.042 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.042 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.042 * [taylor]: Taking taylor expansion of 1 in N 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [taylor]: Taking taylor expansion of N in N 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (+ 1 0) into 1 1.043 * [backup-simplify]: Simplify (log 1) into 0 1.043 * [backup-simplify]: Simplify (+ 0 1) into 1 1.044 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.045 * [backup-simplify]: Simplify (sqrt 0) into 0 1.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.046 * [taylor]: Taking taylor expansion of (- (log N)) in N 1.046 * [taylor]: Taking taylor expansion of (log N) in N 1.046 * [taylor]: Taking taylor expansion of N in N 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify (log 1) into 0 1.047 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 1.047 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 1.047 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 1.047 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.047 * [taylor]: Taking taylor expansion of (log1p N) in N 1.047 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.047 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.047 * [taylor]: Taking taylor expansion of 1 in N 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [taylor]: Taking taylor expansion of N in N 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify (+ 1 0) into 1 1.048 * [backup-simplify]: Simplify (log 1) into 0 1.049 * [backup-simplify]: Simplify (+ 0 1) into 1 1.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.050 * [backup-simplify]: Simplify (sqrt 0) into 0 1.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.052 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.052 * [taylor]: Taking taylor expansion of (log1p N) in N 1.052 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.052 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.052 * [taylor]: Taking taylor expansion of 1 in N 1.052 * [backup-simplify]: Simplify 1 into 1 1.052 * [taylor]: Taking taylor expansion of N in N 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify (+ 1 0) into 1 1.053 * [backup-simplify]: Simplify (log 1) into 0 1.053 * [backup-simplify]: Simplify (+ 0 1) into 1 1.055 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.055 * [backup-simplify]: Simplify (sqrt 0) into 0 1.057 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.057 * [taylor]: Taking taylor expansion of (- (log N)) in N 1.057 * [taylor]: Taking taylor expansion of (log N) in N 1.057 * [taylor]: Taking taylor expansion of N in N 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.057 * [backup-simplify]: Simplify (log 1) into 0 1.058 * [backup-simplify]: Simplify (* 0 0) into 0 1.058 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.058 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.058 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 1.058 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.059 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.060 * [backup-simplify]: Simplify (- 0) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ 0 0) into 0 1.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.064 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.068 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.070 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 1.071 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.071 * [backup-simplify]: Simplify (- 0) into 0 1.072 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 1.072 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [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 1.078 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.081 * [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 1.084 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.087 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 1.092 * [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 1.093 * [backup-simplify]: Simplify (- 0) into 0 1.094 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 1.094 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.095 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (pow N 2)) (- (log N)))) into (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) 1.096 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) into (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 1.096 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in (N) around 0 1.096 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 1.096 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 1.096 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 1.096 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.096 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.096 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.096 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.096 * [taylor]: Taking taylor expansion of 1 in N 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [backup-simplify]: Simplify (+ 0 1) into 1 1.098 * [backup-simplify]: Simplify (log 1) into 0 1.098 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.099 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.099 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify (+ 1 0) into 1 1.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.102 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.102 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.102 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.102 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.102 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.102 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.102 * [taylor]: Taking taylor expansion of 1 in N 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.102 * [taylor]: Taking taylor expansion of N in N 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (/ 1 1) into 1 1.103 * [backup-simplify]: Simplify (+ 0 1) into 1 1.104 * [backup-simplify]: Simplify (log 1) into 0 1.104 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.104 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.105 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (+ 1 0) into 1 1.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.108 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.108 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.108 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 1.108 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.108 * [taylor]: Taking taylor expansion of N in N 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.109 * [backup-simplify]: Simplify (log 1) into 0 1.109 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 1.109 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 1.109 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 1.109 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.109 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.110 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.110 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.110 * [taylor]: Taking taylor expansion of 1 in N 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.110 * [taylor]: Taking taylor expansion of N in N 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (/ 1 1) into 1 1.111 * [backup-simplify]: Simplify (+ 0 1) into 1 1.111 * [backup-simplify]: Simplify (log 1) into 0 1.112 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.112 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.112 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (+ 1 0) into 1 1.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.116 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.117 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.117 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.117 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.117 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.117 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.117 * [taylor]: Taking taylor expansion of 1 in N 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.117 * [taylor]: Taking taylor expansion of N in N 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify (/ 1 1) into 1 1.118 * [backup-simplify]: Simplify (+ 0 1) into 1 1.118 * [backup-simplify]: Simplify (log 1) into 0 1.119 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.125 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.125 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.127 * [backup-simplify]: Simplify (+ 1 0) into 1 1.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.129 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.129 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.129 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 1.129 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.129 * [taylor]: Taking taylor expansion of N in N 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (/ 1 1) into 1 1.130 * [backup-simplify]: Simplify (log 1) into 0 1.130 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 1.131 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.131 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 1.131 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 1.131 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 1.131 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.134 * [backup-simplify]: Simplify (- 0) into 0 1.134 * [backup-simplify]: Simplify (+ 1 0) into 1 1.135 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.139 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.141 * [backup-simplify]: Simplify (+ 0 0) into 0 1.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.144 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1.144 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) 1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.147 * [backup-simplify]: Simplify (- 0) into 0 1.147 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 1.147 * [backup-simplify]: Simplify -1/2 into -1/2 1.147 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) 1.148 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) into (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 1.148 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in (N) around 0 1.148 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 1.148 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 1.148 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 1.148 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.148 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.148 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.148 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.148 * [taylor]: Taking taylor expansion of 1 in N 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.148 * [taylor]: Taking taylor expansion of -1 in N 1.148 * [backup-simplify]: Simplify -1 into -1 1.148 * [taylor]: Taking taylor expansion of N in N 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [backup-simplify]: Simplify (/ -1 1) into -1 1.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.149 * [backup-simplify]: Simplify (log -1) into (log -1) 1.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.150 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.151 * [backup-simplify]: Simplify (+ 1 0) into 1 1.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.152 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.153 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.153 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.153 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.153 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.153 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.153 * [taylor]: Taking taylor expansion of 1 in N 1.153 * [backup-simplify]: Simplify 1 into 1 1.153 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.153 * [taylor]: Taking taylor expansion of -1 in N 1.153 * [backup-simplify]: Simplify -1 into -1 1.153 * [taylor]: Taking taylor expansion of N in N 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 1 into 1 1.153 * [backup-simplify]: Simplify (/ -1 1) into -1 1.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.154 * [backup-simplify]: Simplify (log -1) into (log -1) 1.154 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.155 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.155 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (+ 1 0) into 1 1.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.157 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.157 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.157 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 1.157 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.157 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.157 * [taylor]: Taking taylor expansion of -1 in N 1.157 * [backup-simplify]: Simplify -1 into -1 1.157 * [taylor]: Taking taylor expansion of N in N 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (/ -1 1) into -1 1.158 * [backup-simplify]: Simplify (log -1) into (log -1) 1.158 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 1.158 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 1.158 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 1.158 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.158 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.158 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.158 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.158 * [taylor]: Taking taylor expansion of 1 in N 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.158 * [taylor]: Taking taylor expansion of -1 in N 1.158 * [backup-simplify]: Simplify -1 into -1 1.158 * [taylor]: Taking taylor expansion of N in N 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.159 * [backup-simplify]: Simplify (/ -1 1) into -1 1.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.159 * [backup-simplify]: Simplify (log -1) into (log -1) 1.160 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.160 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.160 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (+ 1 0) into 1 1.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.162 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.163 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.163 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.163 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.163 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.163 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.163 * [taylor]: Taking taylor expansion of 1 in N 1.163 * [backup-simplify]: Simplify 1 into 1 1.163 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.163 * [taylor]: Taking taylor expansion of -1 in N 1.163 * [backup-simplify]: Simplify -1 into -1 1.163 * [taylor]: Taking taylor expansion of N in N 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify 1 into 1 1.163 * [backup-simplify]: Simplify (/ -1 1) into -1 1.163 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.164 * [backup-simplify]: Simplify (log -1) into (log -1) 1.164 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.165 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.165 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.166 * [backup-simplify]: Simplify (+ 1 0) into 1 1.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.167 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.167 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.167 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 1.167 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.167 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.167 * [taylor]: Taking taylor expansion of -1 in N 1.167 * [backup-simplify]: Simplify -1 into -1 1.167 * [taylor]: Taking taylor expansion of N in N 1.167 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 1 into 1 1.168 * [backup-simplify]: Simplify (/ -1 1) into -1 1.168 * [backup-simplify]: Simplify (log -1) into (log -1) 1.169 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 1.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.169 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1.170 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1.170 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 1.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.173 * [backup-simplify]: Simplify (- 0) into 0 1.173 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 1.173 * [backup-simplify]: Simplify -1 into -1 1.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.176 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.177 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 1.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.177 * [backup-simplify]: Simplify (+ 0 0) into 0 1.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.181 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 1.184 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) 1.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.189 * [backup-simplify]: Simplify (- 0) into 0 1.189 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 1.189 * [backup-simplify]: Simplify -1/2 into -1/2 1.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [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 1.199 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 1.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.206 * [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 1.208 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 1.216 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) 1.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.223 * [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 1.223 * [backup-simplify]: Simplify (- 0) into 0 1.224 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3 1.224 * [backup-simplify]: Simplify -1/3 into -1/3 1.224 * [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)))) 1.224 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.225 * [backup-simplify]: Simplify (sqrt (log1p N)) into (sqrt (log1p N)) 1.225 * [approximate]: Taking taylor expansion of (sqrt (log1p N)) in (N) around 0 1.225 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.225 * [taylor]: Taking taylor expansion of (log1p N) in N 1.225 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.225 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.225 * [taylor]: Taking taylor expansion of 1 in N 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [taylor]: Taking taylor expansion of N in N 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify (+ 1 0) into 1 1.226 * [backup-simplify]: Simplify (log 1) into 0 1.226 * [backup-simplify]: Simplify (+ 0 1) into 1 1.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.228 * [backup-simplify]: Simplify (sqrt 0) into 0 1.230 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.230 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.230 * [taylor]: Taking taylor expansion of (log1p N) in N 1.230 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.230 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.230 * [taylor]: Taking taylor expansion of 1 in N 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [taylor]: Taking taylor expansion of N in N 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (+ 1 0) into 1 1.231 * [backup-simplify]: Simplify (log 1) into 0 1.232 * [backup-simplify]: Simplify (+ 0 1) into 1 1.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.233 * [backup-simplify]: Simplify (sqrt 0) into 0 1.235 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.242 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.242 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.250 * [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 1.261 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.262 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.262 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 3)) (+ (* +nan.0 (pow N 2)) (* +nan.0 N))) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- (* +nan.0 (pow N 3))))))) 1.262 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 N))) into (sqrt (log1p (/ 1 N))) 1.262 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in (N) around 0 1.262 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.262 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.262 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.262 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.263 * [taylor]: Taking taylor expansion of 1 in N 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.263 * [taylor]: Taking taylor expansion of N in N 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (/ 1 1) into 1 1.263 * [backup-simplify]: Simplify (+ 0 1) into 1 1.264 * [backup-simplify]: Simplify (log 1) into 0 1.264 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.264 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.264 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.265 * [backup-simplify]: Simplify (+ 1 0) into 1 1.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.266 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.266 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.266 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.266 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.266 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.266 * [taylor]: Taking taylor expansion of 1 in N 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.266 * [taylor]: Taking taylor expansion of N in N 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.267 * [backup-simplify]: Simplify (/ 1 1) into 1 1.267 * [backup-simplify]: Simplify (+ 0 1) into 1 1.267 * [backup-simplify]: Simplify (log 1) into 0 1.268 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.268 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.268 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.269 * [backup-simplify]: Simplify (+ 1 0) into 1 1.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.270 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.270 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.270 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) 1.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.273 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1.273 * [backup-simplify]: Simplify (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1.274 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log (/ 1 N)))) 2)))) (sqrt (- (log (/ 1 N)))))) (pow (/ 1 N) 2)) (+ (* (/ 1/2 (sqrt (- (log (/ 1 N))))) (/ 1 N)) (sqrt (- (log (/ 1 N)))))) into (- (+ (* 1/2 (/ 1 (* N (sqrt (- (log (/ 1 N))))))) (sqrt (- (log (/ 1 N))))) (+ (* 1/8 (/ 1 (* (pow N 2) (pow (sqrt (- (log (/ 1 N)))) 3)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) 1.274 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- N)))) into (sqrt (log1p (/ -1 N))) 1.274 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in (N) around 0 1.274 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.274 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.274 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.274 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.274 * [taylor]: Taking taylor expansion of 1 in N 1.274 * [backup-simplify]: Simplify 1 into 1 1.274 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.274 * [taylor]: Taking taylor expansion of -1 in N 1.274 * [backup-simplify]: Simplify -1 into -1 1.274 * [taylor]: Taking taylor expansion of N in N 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 1 into 1 1.274 * [backup-simplify]: Simplify (/ -1 1) into -1 1.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.275 * [backup-simplify]: Simplify (log -1) into (log -1) 1.276 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.276 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.276 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.277 * [backup-simplify]: Simplify (+ 1 0) into 1 1.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.279 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.279 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.279 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.279 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.279 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.279 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.279 * [taylor]: Taking taylor expansion of 1 in N 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.279 * [taylor]: Taking taylor expansion of -1 in N 1.279 * [backup-simplify]: Simplify -1 into -1 1.279 * [taylor]: Taking taylor expansion of N in N 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [backup-simplify]: Simplify (/ -1 1) into -1 1.280 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.280 * [backup-simplify]: Simplify (log -1) into (log -1) 1.280 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.281 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.281 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.282 * [backup-simplify]: Simplify (+ 1 0) into 1 1.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.283 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.284 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.284 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.284 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.288 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 1.289 * [backup-simplify]: Simplify (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 1.291 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log (/ 1 (- N)))))) 1/2) (sqrt (/ 1 (- (log -1) (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (sqrt (- (log -1) (log (/ 1 (- N))))))) into (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (/ 1 (pow N 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 N))))))))) 1.291 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.291 * [backup-simplify]: Simplify (sqrt (log1p N)) into (sqrt (log1p N)) 1.291 * [approximate]: Taking taylor expansion of (sqrt (log1p N)) in (N) around 0 1.291 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.291 * [taylor]: Taking taylor expansion of (log1p N) in N 1.291 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.292 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.292 * [taylor]: Taking taylor expansion of 1 in N 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [taylor]: Taking taylor expansion of N in N 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (+ 1 0) into 1 1.292 * [backup-simplify]: Simplify (log 1) into 0 1.293 * [backup-simplify]: Simplify (+ 0 1) into 1 1.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.294 * [backup-simplify]: Simplify (sqrt 0) into 0 1.295 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.295 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.295 * [taylor]: Taking taylor expansion of (log1p N) in N 1.295 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.295 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.295 * [taylor]: Taking taylor expansion of 1 in N 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [taylor]: Taking taylor expansion of N in N 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [backup-simplify]: Simplify (+ 1 0) into 1 1.295 * [backup-simplify]: Simplify (log 1) into 0 1.296 * [backup-simplify]: Simplify (+ 0 1) into 1 1.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.297 * [backup-simplify]: Simplify (sqrt 0) into 0 1.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.302 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.302 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [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 1.308 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.308 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.308 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 3)) (+ (* +nan.0 (pow N 2)) (* +nan.0 N))) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- (* +nan.0 (pow N 3))))))) 1.308 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 N))) into (sqrt (log1p (/ 1 N))) 1.308 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in (N) around 0 1.308 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.308 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.308 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.308 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.308 * [taylor]: Taking taylor expansion of 1 in N 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.308 * [taylor]: Taking taylor expansion of N in N 1.308 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [backup-simplify]: Simplify (+ 0 1) into 1 1.309 * [backup-simplify]: Simplify (log 1) into 0 1.310 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.310 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.310 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.311 * [backup-simplify]: Simplify (+ 1 0) into 1 1.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.312 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.312 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.312 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.312 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.312 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.312 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.312 * [taylor]: Taking taylor expansion of 1 in N 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.312 * [taylor]: Taking taylor expansion of N in N 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [backup-simplify]: Simplify (/ 1 1) into 1 1.313 * [backup-simplify]: Simplify (+ 0 1) into 1 1.313 * [backup-simplify]: Simplify (log 1) into 0 1.313 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.313 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.313 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (+ 1 0) into 1 1.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.315 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.315 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.316 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) 1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.319 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1.319 * [backup-simplify]: Simplify (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 1.320 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log (/ 1 N)))) 2)))) (sqrt (- (log (/ 1 N)))))) (pow (/ 1 N) 2)) (+ (* (/ 1/2 (sqrt (- (log (/ 1 N))))) (/ 1 N)) (sqrt (- (log (/ 1 N)))))) into (- (+ (* 1/2 (/ 1 (* N (sqrt (- (log (/ 1 N))))))) (sqrt (- (log (/ 1 N))))) (+ (* 1/8 (/ 1 (* (pow N 2) (pow (sqrt (- (log (/ 1 N)))) 3)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) 1.320 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- N)))) into (sqrt (log1p (/ -1 N))) 1.320 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in (N) around 0 1.320 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.320 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.320 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.320 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.320 * [taylor]: Taking taylor expansion of 1 in N 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.320 * [taylor]: Taking taylor expansion of -1 in N 1.320 * [backup-simplify]: Simplify -1 into -1 1.320 * [taylor]: Taking taylor expansion of N in N 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [backup-simplify]: Simplify (/ -1 1) into -1 1.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.321 * [backup-simplify]: Simplify (log -1) into (log -1) 1.322 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.322 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.323 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (+ 1 0) into 1 1.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.325 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.325 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.325 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.325 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.325 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.325 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.325 * [taylor]: Taking taylor expansion of 1 in N 1.325 * [backup-simplify]: Simplify 1 into 1 1.325 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.325 * [taylor]: Taking taylor expansion of -1 in N 1.325 * [backup-simplify]: Simplify -1 into -1 1.325 * [taylor]: Taking taylor expansion of N in N 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (/ -1 1) into -1 1.326 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.326 * [backup-simplify]: Simplify (log -1) into (log -1) 1.327 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.327 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.327 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (+ 1 0) into 1 1.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.329 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.330 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.330 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.330 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify (+ 0 0) into 0 1.333 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.334 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 1.334 * [backup-simplify]: Simplify (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 1.337 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log (/ 1 (- N)))))) 1/2) (sqrt (/ 1 (- (log -1) (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (sqrt (- (log -1) (log (/ 1 (- N))))))) into (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (/ 1 (pow N 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 N))))))))) 1.337 * * * [progress]: simplifying candidates 1.337 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 1.337 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 1.337 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 1.337 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 1.337 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 1.337 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 1.337 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 1.337 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 1.337 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 11 / 52 ] simplifiying candidate #real (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))> 1.338 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 16 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 1.338 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 27 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (log1p N)))) (- (log N))))> 1.339 * * * * [progress]: [ 28 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 1.339 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))> 1.340 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 1.340 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 1.340 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 1.340 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 1.340 * * * * [progress]: [ 48 / 52 ] simplifiying candidate # 1.340 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 1.340 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 1.340 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 1.340 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 1.341 * [simplify]: Simplifying: (expm1 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (log1p (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (sqrt (log1p N)) (sqrt (log1p N))) (log (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (exp (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (* (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (expm1 (sqrt (log1p N))) (log1p (sqrt (log1p N))) (log (sqrt (log1p N))) (exp (sqrt (log1p N))) (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (cbrt (sqrt (log1p N))) (* (* (sqrt (log1p N)) (sqrt (log1p N))) (sqrt (log1p N))) (sqrt (* (cbrt (log1p N)) (cbrt (log1p N)))) (sqrt (cbrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt 1) (sqrt (log1p N)) (/ 1 2) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (real->posit16 (sqrt (log1p N))) (expm1 (sqrt (log1p N))) (log1p (sqrt (log1p N))) (log (sqrt (log1p N))) (exp (sqrt (log1p N))) (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (cbrt (sqrt (log1p N))) (* (* (sqrt (log1p N)) (sqrt (log1p N))) (sqrt (log1p N))) (sqrt (* (cbrt (log1p N)) (cbrt (log1p N)))) (sqrt (cbrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt 1) (sqrt (log1p N)) (/ 1 2) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (real->posit16 (sqrt (log1p N))) (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- (* +nan.0 (pow N 3))))))) (- (+ (* 1/2 (/ 1 (* N (sqrt (- (log (/ 1 N))))))) (sqrt (- (log (/ 1 N))))) (+ (* 1/8 (/ 1 (* (pow N 2) (pow (sqrt (- (log (/ 1 N)))) 3)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (/ 1 (pow N 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 N))))))))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- (* +nan.0 (pow N 3))))))) (- (+ (* 1/2 (/ 1 (* N (sqrt (- (log (/ 1 N))))))) (sqrt (- (log (/ 1 N))))) (+ (* 1/8 (/ 1 (* (pow N 2) (pow (sqrt (- (log (/ 1 N)))) 3)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (/ 1 (pow N 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 N))))))))) 1.343 * * [simplify]: iteration 0: 100 enodes 1.380 * * [simplify]: iteration 1: 229 enodes 1.472 * * [simplify]: iteration 2: 737 enodes 1.735 * * [simplify]: iteration complete: 2001 enodes 1.735 * * [simplify]: Extracting #0: cost 30 inf + 0 1.735 * * [simplify]: Extracting #1: cost 188 inf + 2 1.737 * * [simplify]: Extracting #2: cost 492 inf + 91 1.740 * * [simplify]: Extracting #3: cost 521 inf + 8567 1.751 * * [simplify]: Extracting #4: cost 238 inf + 72328 1.775 * * [simplify]: Extracting #5: cost 97 inf + 115659 1.806 * * [simplify]: Extracting #6: cost 67 inf + 136059 1.836 * * [simplify]: Extracting #7: cost 6 inf + 160086 1.882 * * [simplify]: Extracting #8: cost 2 inf + 160276 1.912 * * [simplify]: Extracting #9: cost 0 inf + 160989 1.967 * [simplify]: Simplified to: (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (log1p N) (log (- (log1p N) (log N))) (* (exp (log1p N)) (/ 1 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))) (real->posit16 (- (log1p N) (log N))) (expm1 (sqrt (log1p N))) (log1p (sqrt (log1p N))) (log (sqrt (log1p N))) (exp (sqrt (log1p N))) (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (cbrt (sqrt (log1p N))) (* (sqrt (log1p N)) (log1p N)) (fabs (cbrt (log1p N))) (sqrt (cbrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) 1 (sqrt (log1p N)) 1/2 (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (real->posit16 (sqrt (log1p N))) (expm1 (sqrt (log1p N))) (log1p (sqrt (log1p N))) (log (sqrt (log1p N))) (exp (sqrt (log1p N))) (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (cbrt (sqrt (log1p N))) (* (sqrt (log1p N)) (log1p N)) (fabs (cbrt (log1p N))) (sqrt (cbrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) 1 (sqrt (log1p N)) 1/2 (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (real->posit16 (sqrt (log1p N))) (- (- (* (* (- +nan.0) N) N) (* (* (* (- +nan.0) N) N) N)) (log N)) (fma (/ (/ 1 N) N) -1/2 (- (+ (log N) (/ 1 N)) (log N))) (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (+ (- (* (* (- +nan.0) N) N) (* (- +nan.0) N)) (* (* (* (- +nan.0) N) N) N)) (- (- (+ (/ (/ 1/2 N) (sqrt (log N))) (sqrt (log N))) (/ (/ 1/4 (* N N)) (sqrt (log N)))) (/ 1/8 (* (* (log N) (sqrt (log N))) (* N N)))) (- (fma 1/2 (/ (sqrt (/ 1 (+ 0 (log N)))) N) (sqrt (+ 0 (log N)))) (fma 1/4 (/ (/ (sqrt (/ 1 (+ 0 (log N)))) N) N) (* (/ 1/8 N) (/ (sqrt (/ (/ 1 (+ 0 (log N))) (* (+ 0 (log N)) (+ 0 (log N))))) N)))) (+ (- (* (* (- +nan.0) N) N) (* (- +nan.0) N)) (* (* (* (- +nan.0) N) N) N)) (- (- (+ (/ (/ 1/2 N) (sqrt (log N))) (sqrt (log N))) (/ (/ 1/4 (* N N)) (sqrt (log N)))) (/ 1/8 (* (* (log N) (sqrt (log N))) (* N N)))) (- (fma 1/2 (/ (sqrt (/ 1 (+ 0 (log N)))) N) (sqrt (+ 0 (log N)))) (fma 1/4 (/ (/ (sqrt (/ 1 (+ 0 (log N)))) N) N) (* (/ 1/8 N) (/ (sqrt (/ (/ 1 (+ 0 (log N))) (* (+ 0 (log N)) (+ 0 (log N))))) N)))) 1.971 * * * [progress]: adding candidates to table 2.207 * * [progress]: iteration 3 / 4 2.207 * * * [progress]: picking best candidate 2.209 * * * * [pick]: Picked # 2.209 * * * [progress]: localizing error 2.227 * * * [progress]: generating rewritten candidates 2.227 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.234 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.249 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.250 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.264 * * * [progress]: generating series expansions 2.264 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.264 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 2.264 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 2.264 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 2.264 * [taylor]: Taking taylor expansion of 1/3 in N 2.264 * [backup-simplify]: Simplify 1/3 into 1/3 2.264 * [taylor]: Taking taylor expansion of N in N 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.265 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 2.265 * [taylor]: Taking taylor expansion of 1/3 in N 2.265 * [backup-simplify]: Simplify 1/3 into 1/3 2.265 * [taylor]: Taking taylor expansion of N in N 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.265 * [backup-simplify]: Simplify 1/3 into 1/3 2.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 2.269 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 2.269 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 2.269 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.269 * [taylor]: Taking taylor expansion of 1/3 in N 2.269 * [backup-simplify]: Simplify 1/3 into 1/3 2.269 * [taylor]: Taking taylor expansion of N in N 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify 1 into 1 2.269 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.269 * [taylor]: Taking taylor expansion of 1/3 in N 2.269 * [backup-simplify]: Simplify 1/3 into 1/3 2.269 * [taylor]: Taking taylor expansion of N in N 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.270 * [backup-simplify]: Simplify 1/3 into 1/3 2.271 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.273 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 2.276 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 2.276 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 2.276 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 2.276 * [taylor]: Taking taylor expansion of -1/3 in N 2.276 * [backup-simplify]: Simplify -1/3 into -1/3 2.276 * [taylor]: Taking taylor expansion of N in N 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 2.276 * [taylor]: Taking taylor expansion of -1/3 in N 2.276 * [backup-simplify]: Simplify -1/3 into -1/3 2.276 * [taylor]: Taking taylor expansion of N in N 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (* -1/3 0) into 0 2.276 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 2.277 * [backup-simplify]: Simplify -1/3 into -1/3 2.277 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 2.282 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.282 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 2.282 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.282 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.282 * [taylor]: Taking taylor expansion of N in N 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (* 1 1) into 1 2.283 * [backup-simplify]: Simplify (/ 1 1) into 1 2.283 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.283 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.283 * [taylor]: Taking taylor expansion of N in N 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 1 into 1 2.283 * [backup-simplify]: Simplify (* 1 1) into 1 2.284 * [backup-simplify]: Simplify (/ 1 1) into 1 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.299 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 2.299 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.299 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.299 * [taylor]: Taking taylor expansion of N in N 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.299 * [taylor]: Taking taylor expansion of N in N 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.300 * [backup-simplify]: Simplify (* 1 1) into 1 2.300 * [backup-simplify]: Simplify 1 into 1 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.303 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.314 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 2.314 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.314 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.314 * [taylor]: Taking taylor expansion of N in N 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.314 * [taylor]: Taking taylor expansion of N in N 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.316 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 2.322 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.322 * [backup-simplify]: Simplify (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) into (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 2.322 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in (N) around 0 2.322 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 2.322 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 2.322 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.322 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.322 * [taylor]: Taking taylor expansion of N in N 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.323 * [backup-simplify]: Simplify (* 1 1) into 1 2.323 * [backup-simplify]: Simplify (/ 1 1) into 1 2.323 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 2.323 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 2.323 * [taylor]: Taking taylor expansion of 1/3 in N 2.323 * [backup-simplify]: Simplify 1/3 into 1/3 2.323 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [backup-simplify]: Simplify (/ 1 1) into 1 2.323 * [taylor]: Taking taylor expansion of 1/2 in N 2.324 * [backup-simplify]: Simplify 1/2 into 1/2 2.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.324 * [taylor]: Taking taylor expansion of N in N 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify (/ 1 1) into 1 2.324 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 2.324 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 2.324 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 2.324 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.324 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.324 * [taylor]: Taking taylor expansion of N in N 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (* 1 1) into 1 2.325 * [backup-simplify]: Simplify (/ 1 1) into 1 2.325 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 2.325 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 2.325 * [taylor]: Taking taylor expansion of 1/3 in N 2.325 * [backup-simplify]: Simplify 1/3 into 1/3 2.325 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.325 * [taylor]: Taking taylor expansion of N in N 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (/ 1 1) into 1 2.325 * [taylor]: Taking taylor expansion of 1/2 in N 2.325 * [backup-simplify]: Simplify 1/2 into 1/2 2.326 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.326 * [taylor]: Taking taylor expansion of N in N 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.326 * [backup-simplify]: Simplify (/ 1 1) into 1 2.326 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.327 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.327 * [backup-simplify]: Simplify (* 1 1/3) into 1/3 2.328 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.328 * [backup-simplify]: Simplify 1/3 into 1/3 2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.329 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.330 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 2.332 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.332 * [backup-simplify]: Simplify -1/2 into -1/2 2.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.334 * [backup-simplify]: Simplify (- 0) into 0 2.334 * [backup-simplify]: Simplify (+ 0 0) into 0 2.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 2.337 * [backup-simplify]: Simplify (+ 0 1) into 1 2.338 * [backup-simplify]: Simplify 1 into 1 2.338 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 2.338 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 N)) (/ 1 N)) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) into (fma (pow N 2) (- (* 1/3 N) 1/2) N) 2.338 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in (N) around 0 2.338 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 2.338 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 2.338 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 2.338 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.338 * [taylor]: Taking taylor expansion of N in N 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 1 into 1 2.338 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 2.338 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.338 * [taylor]: Taking taylor expansion of 1/3 in N 2.338 * [backup-simplify]: Simplify 1/3 into 1/3 2.338 * [taylor]: Taking taylor expansion of N in N 2.338 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [taylor]: Taking taylor expansion of 1/2 in N 2.339 * [backup-simplify]: Simplify 1/2 into 1/2 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 2.339 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 2.339 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 2.339 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 2.339 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.339 * [taylor]: Taking taylor expansion of 1/3 in N 2.339 * [backup-simplify]: Simplify 1/3 into 1/3 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [taylor]: Taking taylor expansion of 1/2 in N 2.339 * [backup-simplify]: Simplify 1/2 into 1/2 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (+ 0 0) into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (+ 0 1) into 1 2.340 * [backup-simplify]: Simplify 1 into 1 2.340 * [backup-simplify]: Simplify (* 1 1) into 1 2.341 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.341 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.341 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.342 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 2.342 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.342 * [backup-simplify]: Simplify -1/2 into -1/2 2.343 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.343 * [backup-simplify]: Simplify (- 0) into 0 2.343 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.345 * [backup-simplify]: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 2.345 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.345 * [backup-simplify]: Simplify 1/3 into 1/3 2.346 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.346 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) into (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 2.346 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in (N) around 0 2.346 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 2.346 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 2.346 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 2.346 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.346 * [taylor]: Taking taylor expansion of N in N 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.346 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 2.346 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 2.346 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.346 * [taylor]: Taking taylor expansion of 1/3 in N 2.346 * [backup-simplify]: Simplify 1/3 into 1/3 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [taylor]: Taking taylor expansion of 1/2 in N 2.347 * [backup-simplify]: Simplify 1/2 into 1/2 2.347 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.347 * [taylor]: Taking taylor expansion of -1 in N 2.347 * [backup-simplify]: Simplify -1 into -1 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 2.347 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 2.347 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 2.347 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 2.347 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 2.347 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.347 * [taylor]: Taking taylor expansion of 1/3 in N 2.347 * [backup-simplify]: Simplify 1/3 into 1/3 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [taylor]: Taking taylor expansion of 1/2 in N 2.347 * [backup-simplify]: Simplify 1/2 into 1/2 2.347 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.347 * [taylor]: Taking taylor expansion of -1 in N 2.347 * [backup-simplify]: Simplify -1 into -1 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (* -1 0) into 0 2.348 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.349 * [backup-simplify]: Simplify -1 into -1 2.350 * [backup-simplify]: Simplify (* 1 1) into 1 2.350 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.350 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.351 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.351 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 2.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.352 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.352 * [backup-simplify]: Simplify -1/2 into -1/2 2.352 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.353 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.353 * [backup-simplify]: Simplify (- 1/3) into -1/3 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.353 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.354 * [backup-simplify]: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 2.355 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.355 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 2.355 * [backup-simplify]: Simplify -1/3 into -1/3 2.355 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.355 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.355 * [backup-simplify]: Simplify (- (/ 1/3 N) 1/2) into (- (* 1/3 (/ 1 N)) 1/2) 2.355 * [approximate]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in (N) around 0 2.355 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 2.355 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 2.355 * [taylor]: Taking taylor expansion of 1/3 in N 2.355 * [backup-simplify]: Simplify 1/3 into 1/3 2.355 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.355 * [taylor]: Taking taylor expansion of N in N 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [backup-simplify]: Simplify (/ 1 1) into 1 2.356 * [taylor]: Taking taylor expansion of 1/2 in N 2.356 * [backup-simplify]: Simplify 1/2 into 1/2 2.356 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 2.356 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 2.356 * [taylor]: Taking taylor expansion of 1/3 in N 2.356 * [backup-simplify]: Simplify 1/3 into 1/3 2.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.356 * [taylor]: Taking taylor expansion of N in N 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [backup-simplify]: Simplify (/ 1 1) into 1 2.356 * [taylor]: Taking taylor expansion of 1/2 in N 2.356 * [backup-simplify]: Simplify 1/2 into 1/2 2.357 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.357 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.357 * [backup-simplify]: Simplify 1/3 into 1/3 2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.359 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.359 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.359 * [backup-simplify]: Simplify -1/2 into -1/2 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.361 * [backup-simplify]: Simplify (- 0) into 0 2.361 * [backup-simplify]: Simplify (+ 0 0) into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (- 0) into 0 2.363 * [backup-simplify]: Simplify (+ 0 0) into 0 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.365 * [backup-simplify]: Simplify (- 0) into 0 2.365 * [backup-simplify]: Simplify (+ 0 0) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.366 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.367 * [backup-simplify]: Simplify (- 0) into 0 2.367 * [backup-simplify]: Simplify (+ 0 0) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.369 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.369 * [backup-simplify]: Simplify (- 0) into 0 2.369 * [backup-simplify]: Simplify (+ 0 0) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.371 * [backup-simplify]: Simplify (- 0) into 0 2.372 * [backup-simplify]: Simplify (+ 0 0) into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify (+ -1/2 (* 1/3 (/ 1 N))) into (- (* 1/3 (/ 1 N)) 1/2) 2.372 * [backup-simplify]: Simplify (- (/ 1/3 (/ 1 N)) 1/2) into (- (* 1/3 N) 1/2) 2.372 * [approximate]: Taking taylor expansion of (- (* 1/3 N) 1/2) in (N) around 0 2.372 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 2.372 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.372 * [taylor]: Taking taylor expansion of 1/3 in N 2.372 * [backup-simplify]: Simplify 1/3 into 1/3 2.372 * [taylor]: Taking taylor expansion of N in N 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [taylor]: Taking taylor expansion of 1/2 in N 2.372 * [backup-simplify]: Simplify 1/2 into 1/2 2.372 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 2.372 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.372 * [taylor]: Taking taylor expansion of 1/3 in N 2.372 * [backup-simplify]: Simplify 1/3 into 1/3 2.372 * [taylor]: Taking taylor expansion of N in N 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [taylor]: Taking taylor expansion of 1/2 in N 2.372 * [backup-simplify]: Simplify 1/2 into 1/2 2.372 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.373 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.373 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.373 * [backup-simplify]: Simplify -1/2 into -1/2 2.373 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.374 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.374 * [backup-simplify]: Simplify 1/3 into 1/3 2.375 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 2.375 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.376 * [backup-simplify]: Simplify (- 0) into 0 2.376 * [backup-simplify]: Simplify (+ 0 0) into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.377 * [backup-simplify]: Simplify (- 0) into 0 2.378 * [backup-simplify]: Simplify (+ 0 0) into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.379 * [backup-simplify]: Simplify (- 0) into 0 2.379 * [backup-simplify]: Simplify (+ 0 0) into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.381 * [backup-simplify]: Simplify (- 0) into 0 2.382 * [backup-simplify]: Simplify (+ 0 0) into 0 2.382 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.384 * [backup-simplify]: Simplify (- 0) into 0 2.385 * [backup-simplify]: Simplify (+ 0 0) into 0 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 N)) -1/2) into (- (* 1/3 (/ 1 N)) 1/2) 2.385 * [backup-simplify]: Simplify (- (/ 1/3 (/ 1 (- N))) 1/2) into (- (+ (* 1/3 N) 1/2)) 2.385 * [approximate]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in (N) around 0 2.385 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 2.385 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 2.385 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.385 * [taylor]: Taking taylor expansion of 1/3 in N 2.385 * [backup-simplify]: Simplify 1/3 into 1/3 2.385 * [taylor]: Taking taylor expansion of N in N 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 1 into 1 2.385 * [taylor]: Taking taylor expansion of 1/2 in N 2.385 * [backup-simplify]: Simplify 1/2 into 1/2 2.385 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 2.385 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 2.385 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.385 * [taylor]: Taking taylor expansion of 1/3 in N 2.385 * [backup-simplify]: Simplify 1/3 into 1/3 2.385 * [taylor]: Taking taylor expansion of N in N 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 1 into 1 2.386 * [taylor]: Taking taylor expansion of 1/2 in N 2.386 * [backup-simplify]: Simplify 1/2 into 1/2 2.386 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.387 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.387 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.387 * [backup-simplify]: Simplify -1/2 into -1/2 2.388 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.388 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.389 * [backup-simplify]: Simplify (- 1/3) into -1/3 2.389 * [backup-simplify]: Simplify -1/3 into -1/3 2.390 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 2.390 * [backup-simplify]: Simplify (+ 0 0) into 0 2.390 * [backup-simplify]: Simplify (- 0) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.392 * [backup-simplify]: Simplify (+ 0 0) into 0 2.393 * [backup-simplify]: Simplify (- 0) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.395 * [backup-simplify]: Simplify (+ 0 0) into 0 2.395 * [backup-simplify]: Simplify (- 0) into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.396 * [backup-simplify]: Simplify (+ 0 0) into 0 2.397 * [backup-simplify]: Simplify (- 0) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.398 * [backup-simplify]: Simplify (+ 0 0) into 0 2.398 * [backup-simplify]: Simplify (- 0) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.399 * [backup-simplify]: Simplify (+ 0 0) into 0 2.400 * [backup-simplify]: Simplify (- 0) into 0 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify (+ (* -1/3 (/ 1 (- N))) -1/2) into (- (* 1/3 (/ 1 N)) 1/2) 2.400 * * * [progress]: simplifying candidates 2.400 * * * * [progress]: [ 1 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 2 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 3 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 4 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 5 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 6 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 7 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 8 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 9 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 10 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 11 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 12 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 13 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 14 / 200 ] simplifiying candidate # 2.400 * * * * [progress]: [ 15 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 16 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 17 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 18 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 19 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 20 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 21 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 22 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 23 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 24 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 25 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 26 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 27 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 28 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 29 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 30 / 200 ] simplifiying candidate #real (real->posit16 (/ 1/3 N))) 1/2) (/ 1 N)))> 2.401 * * * * [progress]: [ 31 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 32 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 33 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 34 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 35 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 36 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 37 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 38 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 39 / 200 ] simplifiying candidate # 2.401 * * * * [progress]: [ 40 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 41 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 42 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 43 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 44 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 45 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 46 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 47 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 48 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 49 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 50 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 51 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 52 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 53 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 54 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 55 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 56 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 57 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 58 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 59 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 60 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 61 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 62 / 200 ] simplifiying candidate # 2.402 * * * * [progress]: [ 63 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 64 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 65 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 66 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 67 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 68 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 69 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 70 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 71 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 72 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 73 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 74 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 75 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 76 / 200 ] simplifiying candidate # 2.403 * * * * [progress]: [ 77 / 200 ] simplifiying candidate # 2.404 * * * * [progress]: [ 78 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 79 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 80 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 81 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 82 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 83 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 84 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 85 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 86 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 87 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 88 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 89 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 90 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 91 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 92 / 200 ] simplifiying candidate # 2.405 * * * * [progress]: [ 93 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 94 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 95 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 96 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 97 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 98 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 99 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 100 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 101 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 102 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 103 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 104 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 105 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 106 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 107 / 200 ] simplifiying candidate #real (real->posit16 (/ (/ 1 N) N))) (- (/ 1/3 N) 1/2) (/ 1 N)))> 2.406 * * * * [progress]: [ 108 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 109 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 110 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 111 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 112 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 113 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 114 / 200 ] simplifiying candidate # 2.406 * * * * [progress]: [ 115 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 116 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 117 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 118 / 200 ] simplifiying candidate #real (real->posit16 (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))))> 2.407 * * * * [progress]: [ 119 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 120 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 121 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 122 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 123 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 124 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 125 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 126 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 127 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 128 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 129 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 130 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 131 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 132 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 133 / 200 ] simplifiying candidate # 2.407 * * * * [progress]: [ 134 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 135 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 136 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 137 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 138 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 139 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 140 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 141 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 142 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 143 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 144 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 145 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 146 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 147 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 148 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 149 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 150 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 151 / 200 ] simplifiying candidate # 2.408 * * * * [progress]: [ 152 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 153 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 154 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 155 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 156 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 157 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 158 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 159 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 160 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 161 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 162 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 163 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 164 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 165 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 166 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 167 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 168 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 169 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 170 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 171 / 200 ] simplifiying candidate # 2.409 * * * * [progress]: [ 172 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 173 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 174 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 175 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 176 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 177 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 178 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 179 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 180 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 181 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 182 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 183 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 184 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 185 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 186 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 187 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 188 / 200 ] simplifiying candidate #real (real->posit16 (- (/ 1/3 N) 1/2))) (/ 1 N)))> 2.410 * * * * [progress]: [ 189 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 190 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 191 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 192 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 193 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 194 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 195 / 200 ] simplifiying candidate # 2.410 * * * * [progress]: [ 196 / 200 ] simplifiying candidate # 2.411 * * * * [progress]: [ 197 / 200 ] simplifiying candidate # 2.411 * * * * [progress]: [ 198 / 200 ] simplifiying candidate # 2.411 * * * * [progress]: [ 199 / 200 ] simplifiying candidate # 2.411 * * * * [progress]: [ 200 / 200 ] simplifiying candidate # 2.413 * [simplify]: Simplifying: (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (- (log 1/3) (log N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) (- -1 1) (- (- 1) 1) (- (- (log N)) (log N)) (- (- 0 (log N)) (log N)) (- (- (log 1) (log N)) (log N)) (- (log (/ 1 N)) (log N)) (log (/ (/ 1 N) N)) (exp (/ (/ 1 N) N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (- (/ 1 N)) (- N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) 1) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) N) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N)) (/ (/ (cbrt 1) N) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) N) N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 1) (cbrt N)) N) (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) 1) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) N) (cbrt N)) (/ (/ (sqrt 1) 1) (sqrt N)) (/ (/ (sqrt 1) N) (sqrt N)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 1 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 1) 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 N) (/ N (/ 1 N)) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (sqrt N)) (/ (/ 1 N) 1) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (/ N (/ (cbrt 1) (cbrt N))) (/ N (/ (cbrt 1) (sqrt N))) (/ N (/ (cbrt 1) N)) (/ N (/ (sqrt 1) (cbrt N))) (/ N (/ (sqrt 1) (sqrt N))) (/ N (/ (sqrt 1) N)) (/ N (/ 1 (cbrt N))) (/ N (/ 1 (sqrt N))) (/ N (/ 1 N)) (/ N (/ 1 N)) (/ N (/ 1 N)) (* N N) (real->posit16 (/ (/ 1 N) N)) (expm1 (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (log1p (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (/ (/ 1 N) N) (- (/ 1/3 N) 1/2)) (log (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (exp (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (* (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (real->posit16 (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ 1 1) (/ 1/3 N) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ 1 1) (/ 1/3 N) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ 1 1) (/ 1/3 N) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma 1 (/ 1/3 N) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma 1 (/ 1/3 N) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma 1 (/ 1/3 N) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma 1/3 (/ 1 N) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma 1/3 (/ 1 N) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma 1/3 (/ 1 N) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (expm1 (- (/ 1/3 N) 1/2)) (log1p (- (/ 1/3 N) 1/2)) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (/ (exp (/ 1/3 N)) (exp 1/2)) (log (- (/ 1/3 N) 1/2)) (exp (- (/ 1/3 N) 1/2)) (* (cbrt (- (/ 1/3 N) 1/2)) (cbrt (- (/ 1/3 N) 1/2))) (cbrt (- (/ 1/3 N) 1/2)) (* (* (- (/ 1/3 N) 1/2) (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2)) (sqrt (- (/ 1/3 N) 1/2)) (sqrt (- (/ 1/3 N) 1/2)) (- (pow (/ 1/3 N) 3) (pow 1/2 3)) (+ (* (/ 1/3 N) (/ 1/3 N)) (+ (* 1/2 1/2) (* (/ 1/3 N) 1/2))) (- 1/2) (- (* (/ 1/3 N) (/ 1/3 N)) (* 1/2 1/2)) (+ (/ 1/3 N) 1/2) (+ (sqrt (/ 1/3 N)) (sqrt 1/2)) (- (sqrt (/ 1/3 N)) (sqrt 1/2)) (+ (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) (- (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) (- (/ 1/3 N) 1/2) (- 1/2) (real->posit16 (- (/ 1/3 N) 1/2)) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (* 1/3 (/ 1 N)) 1/2) (- (* 1/3 (/ 1 N)) 1/2) (- (* 1/3 (/ 1 N)) 1/2) 2.416 * * [simplify]: iteration 0: 285 enodes 2.576 * * [simplify]: iteration 1: 613 enodes 2.821 * * [simplify]: iteration 2: 1400 enodes 3.095 * * [simplify]: iteration complete: 2006 enodes 3.096 * * [simplify]: Extracting #0: cost 114 inf + 0 3.097 * * [simplify]: Extracting #1: cost 449 inf + 47 3.100 * * [simplify]: Extracting #2: cost 471 inf + 16482 3.112 * * [simplify]: Extracting #3: cost 104 inf + 72506 3.131 * * [simplify]: Extracting #4: cost 25 inf + 86468 3.159 * * [simplify]: Extracting #5: cost 3 inf + 92634 3.196 * * [simplify]: Extracting #6: cost 0 inf + 93553 3.213 * [simplify]: Simplified to: (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (/ 1/27 (* N N)) N) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (/ (/ 1/27 (* N N)) N) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (/ (sqrt N) (cbrt 1/3))) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) -2 -2 (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (exp (/ (/ 1 N) N)) (/ 1 (* (* N N) (* (* N N) (* 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 (* (cbrt N) (cbrt N)))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ 1 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ 1 (* N (sqrt N))) 1 (/ (/ 1 N) N) (* (/ 1 (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) (cbrt N)))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ 1 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ 1 (* N (sqrt N))) 1 (/ (/ 1 N) N) (* (/ 1 (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) (cbrt N)))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ 1 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ 1 (* N (sqrt N))) 1 (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ 1 (* N (sqrt N))) 1 (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ 1 (* N (sqrt N))) 1 (/ (/ 1 N) N) (/ 1 N) (* N N) (/ 1 (* N (* (cbrt N) (cbrt N)))) (/ 1 (* N (sqrt N))) (/ 1 N) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N N) (* N N) (* N N) (real->posit16 (/ (/ 1 N) N)) (expm1 (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (log1p (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (/ (* 1 (+ (/ 1/3 N) -1/2)) (* N N)) (log (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (exp (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (* (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (* (* (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (sqrt (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (real->posit16 (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) -1/2) 0 (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) -1/2) 0 (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (fma (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) -1/2) 0 (fma (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) -1/2) 0 (fma (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) -1/2) 0 (fma (/ (cbrt 1/3) (/ (sqrt N) (cbrt 1/3))) (/ (cbrt 1/3) (sqrt N)) -1/2) 0 (fma (/ (cbrt 1/3) (/ (sqrt N) (cbrt 1/3))) (/ (cbrt 1/3) (sqrt N)) -1/2) 0 (fma (/ (cbrt 1/3) (/ (sqrt N) (cbrt 1/3))) (/ (cbrt 1/3) (sqrt N)) -1/2) 0 (fma (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) -1/2) 0 (fma (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) -1/2) 0 (fma (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) -1/2) 0 (+ (/ (* (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (cbrt N))) (cbrt N)) -1/2) 0 (+ (/ (* (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (cbrt N))) (cbrt N)) -1/2) 0 (+ (/ (* (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (cbrt N))) (cbrt N)) -1/2) 0 (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) -1/2) 0 (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) -1/2) 0 (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) -1/2) 0 (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) -1/2) 0 (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (+ (/ 1/3 N) -1/2) 0 (expm1 (+ (/ 1/3 N) -1/2)) (log1p (+ (/ 1/3 N) -1/2)) -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 (exp (+ (/ 1/3 N) -1/2)) (log (+ (/ 1/3 N) -1/2)) (exp (+ (/ 1/3 N) -1/2)) (* (cbrt (+ (/ 1/3 N) -1/2)) (cbrt (+ (/ 1/3 N) -1/2))) (cbrt (+ (/ 1/3 N) -1/2)) (* (+ (/ 1/3 N) -1/2) (* (+ (/ 1/3 N) -1/2) (+ (/ 1/3 N) -1/2))) (sqrt (+ (/ 1/3 N) -1/2)) (sqrt (+ (/ 1/3 N) -1/2)) (fma (/ 1/3 N) (* (/ 1/3 N) (/ 1/3 N)) -1/8) (fma (+ 1/2 (/ 1/3 N)) 1/2 (* (/ 1/3 N) (/ 1/3 N))) -1/2 (fma (/ 1/3 N) (/ 1/3 N) -1/4) (+ 1/2 (/ 1/3 N)) (+ (sqrt (/ 1/3 N)) (sqrt 1/2)) (- (sqrt (/ 1/3 N)) (sqrt 1/2)) (+ (sqrt 1/2) (/ (sqrt 1/3) (sqrt N))) (- (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) (+ (/ 1/3 N) -1/2) -1/2 (real->posit16 (+ (/ 1/3 N) -1/2)) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (+ (/ 1 N) (/ -1/2 (* N N)))) (fma (/ (/ 1 N) (* N N)) 1/3 (+ (/ 1 N) (/ -1/2 (* N N)))) (fma (/ (/ 1 N) (* N N)) 1/3 (+ (/ 1 N) (/ -1/2 (* N N)))) (+ (/ 1/3 N) -1/2) (+ (/ 1/3 N) -1/2) (+ (/ 1/3 N) -1/2) 3.232 * * * [progress]: adding candidates to table 3.876 * * [progress]: iteration 4 / 4 3.876 * * * [progress]: picking best candidate 3.881 * * * * [pick]: Picked # 3.881 * * * [progress]: localizing error 3.922 * * * [progress]: generating rewritten candidates 3.922 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.939 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.947 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.962 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.001 * * * [progress]: generating series expansions 4.001 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.002 * [backup-simplify]: Simplify (log (exp (/ (/ 1 N) N))) into (/ 1 (pow N 2)) 4.002 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.002 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.002 * [taylor]: Taking taylor expansion of N in N 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.003 * [backup-simplify]: Simplify (* 1 1) into 1 4.003 * [backup-simplify]: Simplify (/ 1 1) into 1 4.003 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.003 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.003 * [taylor]: Taking taylor expansion of N in N 4.003 * [backup-simplify]: Simplify 0 into 0 4.003 * [backup-simplify]: Simplify 1 into 1 4.004 * [backup-simplify]: Simplify (* 1 1) into 1 4.004 * [backup-simplify]: Simplify (/ 1 1) into 1 4.004 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 4.013 * [backup-simplify]: Simplify (log (exp (/ (/ 1 (/ 1 N)) (/ 1 N)))) into (pow N 2) 4.013 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 4.013 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.013 * [taylor]: Taking taylor expansion of N in N 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.013 * [taylor]: Taking taylor expansion of N in N 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [backup-simplify]: Simplify (* 1 1) into 1 4.013 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 4.017 * [backup-simplify]: Simplify (log (exp (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))))) into (pow N 2) 4.017 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 4.017 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.018 * [taylor]: Taking taylor expansion of N in N 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.018 * [taylor]: Taking taylor expansion of N in N 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (* 1 1) into 1 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.018 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.020 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 4.022 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.022 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 4.022 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 4.022 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 4.022 * [taylor]: Taking taylor expansion of 1/3 in N 4.022 * [backup-simplify]: Simplify 1/3 into 1/3 4.022 * [taylor]: Taking taylor expansion of N in N 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.023 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 4.023 * [taylor]: Taking taylor expansion of 1/3 in N 4.023 * [backup-simplify]: Simplify 1/3 into 1/3 4.023 * [taylor]: Taking taylor expansion of N in N 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.023 * [backup-simplify]: Simplify 1/3 into 1/3 4.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 4.027 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 4.027 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 4.027 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.027 * [taylor]: Taking taylor expansion of 1/3 in N 4.027 * [backup-simplify]: Simplify 1/3 into 1/3 4.027 * [taylor]: Taking taylor expansion of N in N 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 1 into 1 4.027 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.027 * [taylor]: Taking taylor expansion of 1/3 in N 4.027 * [backup-simplify]: Simplify 1/3 into 1/3 4.027 * [taylor]: Taking taylor expansion of N in N 4.027 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.028 * [backup-simplify]: Simplify 1/3 into 1/3 4.029 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 4.029 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.032 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 4.033 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 4.034 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 4.034 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 4.034 * [taylor]: Taking taylor expansion of -1/3 in N 4.034 * [backup-simplify]: Simplify -1/3 into -1/3 4.034 * [taylor]: Taking taylor expansion of N in N 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 4.034 * [taylor]: Taking taylor expansion of -1/3 in N 4.034 * [backup-simplify]: Simplify -1/3 into -1/3 4.034 * [taylor]: Taking taylor expansion of N in N 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (* -1/3 0) into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 4.035 * [backup-simplify]: Simplify -1/3 into -1/3 4.035 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.039 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 4.041 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.041 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 4.041 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 4.041 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.041 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.041 * [taylor]: Taking taylor expansion of N in N 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (* 1 1) into 1 4.042 * [backup-simplify]: Simplify (/ 1 1) into 1 4.042 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.042 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.042 * [taylor]: Taking taylor expansion of N in N 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 1 into 1 4.043 * [backup-simplify]: Simplify (* 1 1) into 1 4.043 * [backup-simplify]: Simplify (/ 1 1) into 1 4.043 * [backup-simplify]: Simplify 1 into 1 4.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.049 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 4.050 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 4.050 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 4.050 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.051 * [taylor]: Taking taylor expansion of N in N 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.051 * [taylor]: Taking taylor expansion of N in N 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify (* 1 1) into 1 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.051 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.052 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 4.055 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 4.055 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 4.055 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.055 * [taylor]: Taking taylor expansion of N in N 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 1 into 1 4.055 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.055 * [taylor]: Taking taylor expansion of N in N 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (* 1 1) into 1 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.056 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.057 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.058 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 4.060 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.060 * [backup-simplify]: Simplify (- (/ 1/3 N) 1/2) into (- (* 1/3 (/ 1 N)) 1/2) 4.060 * [approximate]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in (N) around 0 4.060 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 4.060 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 4.060 * [taylor]: Taking taylor expansion of 1/3 in N 4.060 * [backup-simplify]: Simplify 1/3 into 1/3 4.060 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.060 * [taylor]: Taking taylor expansion of N in N 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 1 into 1 4.061 * [backup-simplify]: Simplify (/ 1 1) into 1 4.061 * [taylor]: Taking taylor expansion of 1/2 in N 4.061 * [backup-simplify]: Simplify 1/2 into 1/2 4.061 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 4.061 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 4.061 * [taylor]: Taking taylor expansion of 1/3 in N 4.061 * [backup-simplify]: Simplify 1/3 into 1/3 4.061 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.061 * [taylor]: Taking taylor expansion of N in N 4.061 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify 1 into 1 4.061 * [backup-simplify]: Simplify (/ 1 1) into 1 4.061 * [taylor]: Taking taylor expansion of 1/2 in N 4.061 * [backup-simplify]: Simplify 1/2 into 1/2 4.061 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.062 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.062 * [backup-simplify]: Simplify 1/3 into 1/3 4.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.063 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.063 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.063 * [backup-simplify]: Simplify -1/2 into -1/2 4.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.064 * [backup-simplify]: Simplify (- 0) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.066 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.066 * [backup-simplify]: Simplify (- 0) into 0 4.067 * [backup-simplify]: Simplify (+ 0 0) into 0 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.068 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.068 * [backup-simplify]: Simplify (- 0) into 0 4.069 * [backup-simplify]: Simplify (+ 0 0) into 0 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.070 * [backup-simplify]: Simplify (- 0) into 0 4.071 * [backup-simplify]: Simplify (+ 0 0) into 0 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.073 * [backup-simplify]: Simplify (- 0) into 0 4.073 * [backup-simplify]: Simplify (+ 0 0) into 0 4.073 * [backup-simplify]: Simplify 0 into 0 4.074 * [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 4.075 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.075 * [backup-simplify]: Simplify (- 0) into 0 4.076 * [backup-simplify]: Simplify (+ 0 0) into 0 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify (+ -1/2 (* 1/3 (/ 1 N))) into (- (* 1/3 (/ 1 N)) 1/2) 4.076 * [backup-simplify]: Simplify (- (/ 1/3 (/ 1 N)) 1/2) into (- (* 1/3 N) 1/2) 4.076 * [approximate]: Taking taylor expansion of (- (* 1/3 N) 1/2) in (N) around 0 4.076 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 4.076 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.076 * [taylor]: Taking taylor expansion of 1/3 in N 4.076 * [backup-simplify]: Simplify 1/3 into 1/3 4.076 * [taylor]: Taking taylor expansion of N in N 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [taylor]: Taking taylor expansion of 1/2 in N 4.076 * [backup-simplify]: Simplify 1/2 into 1/2 4.076 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 4.076 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.076 * [taylor]: Taking taylor expansion of 1/3 in N 4.076 * [backup-simplify]: Simplify 1/3 into 1/3 4.076 * [taylor]: Taking taylor expansion of N in N 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [taylor]: Taking taylor expansion of 1/2 in N 4.076 * [backup-simplify]: Simplify 1/2 into 1/2 4.076 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.077 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.077 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.077 * [backup-simplify]: Simplify -1/2 into -1/2 4.077 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.078 * [backup-simplify]: Simplify (- 0) into 0 4.078 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.078 * [backup-simplify]: Simplify 1/3 into 1/3 4.079 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 4.082 * [backup-simplify]: Simplify (- 0) into 0 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.083 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.085 * [backup-simplify]: Simplify (- 0) into 0 4.085 * [backup-simplify]: Simplify (+ 0 0) into 0 4.085 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.087 * [backup-simplify]: Simplify (- 0) into 0 4.088 * [backup-simplify]: Simplify (+ 0 0) into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.090 * [backup-simplify]: Simplify (- 0) into 0 4.090 * [backup-simplify]: Simplify (+ 0 0) into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.092 * [backup-simplify]: Simplify (- 0) into 0 4.093 * [backup-simplify]: Simplify (+ 0 0) into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.096 * [backup-simplify]: Simplify (- 0) into 0 4.096 * [backup-simplify]: Simplify (+ 0 0) into 0 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 N)) -1/2) into (- (* 1/3 (/ 1 N)) 1/2) 4.097 * [backup-simplify]: Simplify (- (/ 1/3 (/ 1 (- N))) 1/2) into (- (+ (* 1/3 N) 1/2)) 4.097 * [approximate]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in (N) around 0 4.097 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 4.097 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 4.097 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.097 * [taylor]: Taking taylor expansion of 1/3 in N 4.097 * [backup-simplify]: Simplify 1/3 into 1/3 4.097 * [taylor]: Taking taylor expansion of N in N 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.097 * [taylor]: Taking taylor expansion of 1/2 in N 4.097 * [backup-simplify]: Simplify 1/2 into 1/2 4.097 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 4.097 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 4.097 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 4.097 * [taylor]: Taking taylor expansion of 1/3 in N 4.097 * [backup-simplify]: Simplify 1/3 into 1/3 4.097 * [taylor]: Taking taylor expansion of N in N 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.097 * [taylor]: Taking taylor expansion of 1/2 in N 4.097 * [backup-simplify]: Simplify 1/2 into 1/2 4.098 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.099 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.099 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.099 * [backup-simplify]: Simplify -1/2 into -1/2 4.100 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.100 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.101 * [backup-simplify]: Simplify (- 1/3) into -1/3 4.101 * [backup-simplify]: Simplify -1/3 into -1/3 4.102 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 4.103 * [backup-simplify]: Simplify (+ 0 0) into 0 4.103 * [backup-simplify]: Simplify (- 0) into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.105 * [backup-simplify]: Simplify (+ 0 0) into 0 4.106 * [backup-simplify]: Simplify (- 0) into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.108 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [backup-simplify]: Simplify (- 0) into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.110 * [backup-simplify]: Simplify (+ 0 0) into 0 4.111 * [backup-simplify]: Simplify (- 0) into 0 4.111 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.113 * [backup-simplify]: Simplify (+ 0 0) into 0 4.113 * [backup-simplify]: Simplify (- 0) into 0 4.113 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.116 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [backup-simplify]: Simplify (- 0) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (+ (* -1/3 (/ 1 (- N))) -1/2) into (- (* 1/3 (/ 1 N)) 1/2) 4.116 * * * [progress]: simplifying candidates 4.116 * * * * [progress]: [ 1 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 2 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 3 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 4 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 5 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 6 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 7 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 8 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 9 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 10 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 11 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 12 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 13 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 14 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 15 / 247 ] simplifiying candidate # 4.117 * * * * [progress]: [ 16 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 17 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 18 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 19 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 20 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 21 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 22 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 23 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 24 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 25 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 26 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 27 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 28 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 29 / 247 ] simplifiying candidate # 4.118 * * * * [progress]: [ 30 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 31 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 32 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 33 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 34 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 35 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 36 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 37 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 38 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 39 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 40 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 41 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 42 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 43 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 44 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 45 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 46 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 47 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 48 / 247 ] simplifiying candidate # 4.119 * * * * [progress]: [ 49 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 50 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 51 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 52 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 53 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 54 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 55 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 56 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 57 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 58 / 247 ] simplifiying candidate #real (real->posit16 (log (exp (/ (/ 1 N) N))))) (- (/ 1/3 N) 1/2) (/ 1 N)))> 4.120 * * * * [progress]: [ 59 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 60 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 61 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 62 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 63 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 64 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 65 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 66 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 67 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 68 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 69 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 70 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 71 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 72 / 247 ] simplifiying candidate # 4.120 * * * * [progress]: [ 73 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 74 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 75 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 76 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 77 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 78 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 79 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 80 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 81 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 82 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 83 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 84 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 85 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 86 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 87 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 88 / 247 ] simplifiying candidate #real (real->posit16 (/ 1/3 N))) 1/2) (/ 1 N)))> 4.121 * * * * [progress]: [ 89 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 90 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 91 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 92 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 93 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 94 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 95 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 96 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 97 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 98 / 247 ] simplifiying candidate # 4.121 * * * * [progress]: [ 99 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 100 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 101 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 102 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 103 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 104 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 105 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 106 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 107 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 108 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 109 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 110 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 111 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 112 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 113 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 114 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 115 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 116 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 117 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 118 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 119 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 120 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 121 / 247 ] simplifiying candidate # 4.122 * * * * [progress]: [ 122 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 123 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 124 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 125 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 126 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 127 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 128 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 129 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 130 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 131 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 132 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 133 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 134 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 135 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 136 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 137 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 138 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 139 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 140 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 141 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 142 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 143 / 247 ] simplifiying candidate # 4.123 * * * * [progress]: [ 144 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 145 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 146 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 147 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 148 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 149 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 150 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 151 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 152 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 153 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 154 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 155 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 156 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 157 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 158 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 159 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 160 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 161 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 162 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 163 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 164 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 165 / 247 ] simplifiying candidate #real (real->posit16 (/ (/ 1 N) N))))) (- (/ 1/3 N) 1/2) (/ 1 N)))> 4.124 * * * * [progress]: [ 166 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 167 / 247 ] simplifiying candidate # 4.124 * * * * [progress]: [ 168 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 169 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 170 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 171 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 172 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 173 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 174 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 175 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 176 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 177 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 178 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 179 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 180 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 181 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 182 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 183 / 247 ] simplifiying candidate # 4.125 * * * * [progress]: [ 184 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 185 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 186 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 187 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 188 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 189 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 190 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 191 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 192 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 193 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 194 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 195 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 196 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 197 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 198 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 199 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 200 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 201 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 202 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 203 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 204 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 205 / 247 ] simplifiying candidate # 4.126 * * * * [progress]: [ 206 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 207 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 208 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 209 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 210 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 211 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 212 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 213 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 214 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 215 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 216 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 217 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 218 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 219 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 220 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 221 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 222 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 223 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 224 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 225 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 226 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 227 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 228 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 229 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 230 / 247 ] simplifiying candidate # 4.127 * * * * [progress]: [ 231 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 232 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 233 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 234 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 235 / 247 ] simplifiying candidate #real (real->posit16 (- (/ 1/3 N) 1/2))) (/ 1 N)))> 4.128 * * * * [progress]: [ 236 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 237 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 238 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 239 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 240 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 241 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 242 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 243 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 244 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 245 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 246 / 247 ] simplifiying candidate # 4.128 * * * * [progress]: [ 247 / 247 ] simplifiying candidate # 4.130 * [simplify]: Simplifying: (expm1 (log (exp (/ (/ 1 N) N)))) (log1p (log (exp (/ (/ 1 N) N)))) (log (* (cbrt (exp (/ (/ 1 N) N))) (cbrt (exp (/ (/ 1 N) N))))) (log (cbrt (exp (/ (/ 1 N) N)))) (log (sqrt (exp (/ (/ 1 N) N)))) (log (sqrt (exp (/ (/ 1 N) N)))) (log 1) (log (exp (/ (/ 1 N) N))) (log (exp (/ (/ 1 N) N))) (log (exp (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))))) (log (exp (sqrt (/ (/ 1 N) N)))) (log (exp (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))))) (log (exp (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)))) (log (exp (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1))) (log (exp (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))))) (log (exp (/ (sqrt (/ 1 N)) (sqrt N)))) (log (exp (/ (sqrt (/ 1 N)) 1))) (log (exp (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))))) (log (exp (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)))) (log (exp (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1))) (log (exp (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))))) (log (exp (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)))) (log (exp (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1))) (log (exp (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N))))) (log (exp (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N)))) (log (exp (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1))) (log (exp (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))))) (log (exp (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N)))) (log (exp (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1))) (log (exp (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N))))) (log (exp (/ (/ (sqrt 1) (sqrt N)) (sqrt N)))) (log (exp (/ (/ (sqrt 1) (sqrt N)) 1))) (log (exp (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N))))) (log (exp (/ (/ (sqrt 1) 1) (sqrt N)))) (log (exp (/ (/ (sqrt 1) 1) 1))) (log (exp (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))))) (log (exp (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)))) (log (exp (/ (/ 1 (* (cbrt N) (cbrt N))) 1))) (log (exp (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))))) (log (exp (/ (/ 1 (sqrt N)) (sqrt N)))) (log (exp (/ (/ 1 (sqrt N)) 1))) (log (exp (/ (/ 1 1) (* (cbrt N) (cbrt N))))) (log (exp (/ (/ 1 1) (sqrt N)))) (log (exp (/ (/ 1 1) 1))) (log (exp (/ 1 (* (cbrt N) (cbrt N))))) (log (exp (/ 1 (sqrt N)))) (log (exp (/ 1 1))) (log (exp (/ 1 (* (cbrt N) (cbrt N))))) (log (exp (/ 1 (sqrt N)))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (/ 1 N))) (log (log (exp (/ (/ 1 N) N)))) (exp (log (exp (/ (/ 1 N) N)))) (* (cbrt (log (exp (/ (/ 1 N) N)))) (cbrt (log (exp (/ (/ 1 N) N))))) (cbrt (log (exp (/ (/ 1 N) N)))) (* (* (log (exp (/ (/ 1 N) N))) (log (exp (/ (/ 1 N) N)))) (log (exp (/ (/ 1 N) N)))) (sqrt (log (exp (/ (/ 1 N) N)))) (sqrt (log (exp (/ (/ 1 N) N)))) (real->posit16 (log (exp (/ (/ 1 N) N)))) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (- (log 1/3) (log N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) (- -1 1) (- (- 1) 1) (- (- (log N)) (log N)) (- (- 0 (log N)) (log N)) (- (- (log 1) (log N)) (log N)) (- (log (/ 1 N)) (log N)) (log (/ (/ 1 N) N)) (exp (/ (/ 1 N) N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (- (/ 1 N)) (- N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) 1) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) N) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N)) (/ (/ (cbrt 1) N) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) N) N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 1) (cbrt N)) N) (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) 1) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) N) (cbrt N)) (/ (/ (sqrt 1) 1) (sqrt N)) (/ (/ (sqrt 1) N) (sqrt N)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 1 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 1) 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 N) (/ N (/ 1 N)) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (sqrt N)) (/ (/ 1 N) 1) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (/ N (/ (cbrt 1) (cbrt N))) (/ N (/ (cbrt 1) (sqrt N))) (/ N (/ (cbrt 1) N)) (/ N (/ (sqrt 1) (cbrt N))) (/ N (/ (sqrt 1) (sqrt N))) (/ N (/ (sqrt 1) N)) (/ N (/ 1 (cbrt N))) (/ N (/ 1 (sqrt N))) (/ N (/ 1 N)) (/ N (/ 1 N)) (/ N (/ 1 N)) (* N N) (real->posit16 (/ (/ 1 N) N)) (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (/ 1 1) (/ 1/3 N) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (/ 1 1) (/ 1/3 N) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (/ 1 1) (/ 1/3 N) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma 1 (/ 1/3 N) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma 1 (/ 1/3 N) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma 1 (/ 1/3 N) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma 1/3 (/ 1 N) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma 1/3 (/ 1 N) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma 1/3 (/ 1 N) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (expm1 (- (/ 1/3 N) 1/2)) (log1p (- (/ 1/3 N) 1/2)) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (/ (exp (/ 1/3 N)) (exp 1/2)) (log (- (/ 1/3 N) 1/2)) (exp (- (/ 1/3 N) 1/2)) (* (cbrt (- (/ 1/3 N) 1/2)) (cbrt (- (/ 1/3 N) 1/2))) (cbrt (- (/ 1/3 N) 1/2)) (* (* (- (/ 1/3 N) 1/2) (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2)) (sqrt (- (/ 1/3 N) 1/2)) (sqrt (- (/ 1/3 N) 1/2)) (- (pow (/ 1/3 N) 3) (pow 1/2 3)) (+ (* (/ 1/3 N) (/ 1/3 N)) (+ (* 1/2 1/2) (* (/ 1/3 N) 1/2))) (- 1/2) (- (* (/ 1/3 N) (/ 1/3 N)) (* 1/2 1/2)) (+ (/ 1/3 N) 1/2) (+ (sqrt (/ 1/3 N)) (sqrt 1/2)) (- (sqrt (/ 1/3 N)) (sqrt 1/2)) (+ (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) (- (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) (- (/ 1/3 N) 1/2) (- 1/2) (real->posit16 (- (/ 1/3 N) 1/2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (- (* 1/3 (/ 1 N)) 1/2) (- (* 1/3 (/ 1 N)) 1/2) 4.134 * * [simplify]: iteration 0: 362 enodes 4.287 * * [simplify]: iteration 1: 645 enodes 4.512 * * [simplify]: iteration 2: 1339 enodes 4.734 * * [simplify]: iteration complete: 2002 enodes 4.735 * * [simplify]: Extracting #0: cost 108 inf + 0 4.737 * * [simplify]: Extracting #1: cost 409 inf + 6 4.742 * * [simplify]: Extracting #2: cost 488 inf + 9942 4.761 * * [simplify]: Extracting #3: cost 123 inf + 59527 4.789 * * [simplify]: Extracting #4: cost 8 inf + 78804 4.824 * * [simplify]: Extracting #5: cost 0 inf + 80677 4.856 * [simplify]: Simplified to: (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) (log (* (cbrt (exp (/ 1 (* N N)))) (cbrt (exp (/ 1 (* N N)))))) (log (cbrt (exp (/ 1 (* N N))))) (log (sqrt (exp (/ 1 (* N N))))) (log (sqrt (exp (/ 1 (* N N))))) 0 (/ 1 (* N N)) (/ 1 (* N N)) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (sqrt (/ 1 (* N N))) (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N))) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 1 N)) (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N))) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (cbrt N) (* (cbrt N) (sqrt N)))) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (sqrt N)) 1 (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N))) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (cbrt N) (* (cbrt N) (sqrt N)))) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (sqrt N)) 1 (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N))) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (cbrt N) (* (cbrt N) (sqrt N)))) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (sqrt N)) 1 (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (sqrt N)) 1 (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (sqrt N)) 1 1 (/ 1 N) (- (+ (log N) (log N))) (exp (/ 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))) (real->posit16 (/ 1 (* N N))) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ 1/27 (* N (* N N))) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (/ 1/27 (* N (* N N))) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ (/ 1/3 (cbrt N)) (cbrt N)) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) -2 -2 (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (exp (/ 1 (* N N))) (/ 1 (* (* N (* N N)) (* N (* 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)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 1 N)) (/ (sqrt (/ 1 N)) N) (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ 1 (* (cbrt N) (* (cbrt N) (sqrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ 1 (* (cbrt N) (* (cbrt N) (sqrt N)))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ 1 (* (cbrt N) (* (cbrt N) (sqrt N)))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 N) (* N N) (/ (/ (/ 1 N) (cbrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) N) (/ 1 N) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N N) (* N N) (* N N) (real->posit16 (/ 1 (* N N))) (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) -1/2) 0 (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) -1/2) 0 (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) -1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (fma (/ (cbrt 1/3) (cbrt N)) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) -1/2) 0 (fma (/ (cbrt 1/3) (cbrt N)) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) -1/2) 0 (fma (/ (cbrt 1/3) (cbrt N)) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) -1/2) 0 (fma (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) -1/2) 0 (fma (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) -1/2) 0 (fma (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) -1/2) 0 (fma (/ (cbrt 1/3) N) (* (cbrt 1/3) (cbrt 1/3)) -1/2) 0 (fma (/ (cbrt 1/3) N) (* (cbrt 1/3) (cbrt 1/3)) -1/2) 0 (fma (/ (cbrt 1/3) N) (* (cbrt 1/3) (cbrt 1/3)) -1/2) 0 (fma (/ (sqrt 1/3) (cbrt N)) (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) -1/2) 0 (fma (/ (sqrt 1/3) (cbrt N)) (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) -1/2) 0 (fma (/ (sqrt 1/3) (cbrt N)) (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) -1/2) 0 (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) -1/2) 0 (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) -1/2) 0 (fma (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) -1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1/3 (cbrt N)) -1/2) 0 (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1/3 (cbrt N)) -1/2) 0 (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1/3 (cbrt N)) -1/2) 0 (fma (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) -1/2) 0 (fma (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) -1/2) 0 (fma (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) -1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (- (/ 1/3 N) 1/2) 0 (expm1 (- (/ 1/3 N) 1/2)) (log1p (- (/ 1/3 N) 1/2)) -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 (exp (- (/ 1/3 N) 1/2)) (log (- (/ 1/3 N) 1/2)) (exp (- (/ 1/3 N) 1/2)) (* (cbrt (- (/ 1/3 N) 1/2)) (cbrt (- (/ 1/3 N) 1/2))) (cbrt (- (/ 1/3 N) 1/2)) (* (* (- (/ 1/3 N) 1/2) (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2)) (sqrt (- (/ 1/3 N) 1/2)) (sqrt (- (/ 1/3 N) 1/2)) (fma (/ 1/3 N) (* (/ 1/3 N) (/ 1/3 N)) -1/8) (fma (/ 1/3 N) 1/2 (fma (/ 1/3 N) (/ 1/3 N) 1/4)) -1/2 (fma (/ 1/3 N) (/ 1/3 N) -1/4) (+ 1/2 (/ 1/3 N)) (+ (sqrt (/ 1/3 N)) (sqrt 1/2)) (- (sqrt (/ 1/3 N)) (sqrt 1/2)) (+ (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) (- (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) (- (/ 1/3 N) 1/2) -1/2 (real->posit16 (- (/ 1/3 N) 1/2)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (- (/ 1/3 N) 1/2) (- (/ 1/3 N) 1/2) 4.896 * * * [progress]: adding candidates to table 5.933 * [progress]: [Phase 3 of 3] Extracting. 5.933 * * [regime]: Finding splitpoints for: (# # #) 5.933 * * * [regime-changes]: Trying 1 branch expressions: (N) 5.933 * * * * [regimes]: Trying to branch on N from (# # #) 5.982 * * * [regime]: Found split indices: #