0.002 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.102 * * * [progress]: [2/2] Setting up program.
0.106 * [progress]: [Phase 2 of 3] Improving.
0.106 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (log (+ N 1)) (log N)))>
0.106 * [simplify]: Simplifying (- (log (+ N 1)) (log N))
0.106 * * [simplify]: iteration 1: (6 enodes)
0.109 * * [simplify]: iteration 2: (23 enodes)
0.116 * * [simplify]: iteration 3: (29 enodes)
0.120 * * [simplify]: Extracting #0: cost 1 inf + 0
0.120 * * [simplify]: Extracting #1: cost 5 inf + 0
0.120 * * [simplify]: Extracting #2: cost 10 inf + 0
0.120 * * [simplify]: Extracting #3: cost 11 inf + 1
0.120 * * [simplify]: Extracting #4: cost 2 inf + 762
0.120 * * [simplify]: Extracting #5: cost 0 inf + 1034
0.121 * [simplify]: Simplified to (- (log1p N) (log N))
0.125 * * [progress]: iteration 1 / 4
0.125 * * * [progress]: picking best candidate
0.127 * * * * [pick]: Picked  #<alt (λ (N) (- (log1p N) (log N)))>
0.127 * * * [progress]: localizing error
0.136 * * * [progress]: generating rewritten candidates
0.136 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.142 * * * [progress]: generating series expansions
0.142 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.146 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N))
0.146 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0
0.147 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N
0.147 * [taylor]: Taking taylor expansion of (log1p N) in N
0.149 * [taylor]: Rewrote expression to (log (+ 1 N))
0.149 * [taylor]: Taking taylor expansion of (+ 1 N) in N
0.149 * [taylor]: Taking taylor expansion of 1 in N
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [taylor]: Taking taylor expansion of N in N
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (+ 1 0) into 1
0.151 * [backup-simplify]: Simplify (log 1) into 0
0.151 * [taylor]: Taking taylor expansion of (log N) in N
0.151 * [taylor]: Taking taylor expansion of N in N
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (log 1) into 0
0.151 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N
0.151 * [taylor]: Taking taylor expansion of (log1p N) in N
0.152 * [taylor]: Rewrote expression to (log (+ 1 N))
0.152 * [taylor]: Taking taylor expansion of (+ 1 N) in N
0.152 * [taylor]: Taking taylor expansion of 1 in N
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [taylor]: Taking taylor expansion of N in N
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (+ 1 0) into 1
0.153 * [backup-simplify]: Simplify (log 1) into 0
0.153 * [taylor]: Taking taylor expansion of (log N) in N
0.153 * [taylor]: Taking taylor expansion of N in N
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (log 1) into 0
0.157 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
0.157 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
0.157 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N))
0.157 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
0.159 * [backup-simplify]: Simplify (+ 0 1) into 1
0.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.162 * [backup-simplify]: Simplify (- 0) into 0
0.163 * [backup-simplify]: Simplify (+ 1 0) into 1
0.163 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
0.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.169 * [backup-simplify]: Simplify (- 0) into 0
0.170 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
0.170 * [backup-simplify]: Simplify -1/2 into -1/2
0.170 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2))))
0.171 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N)))
0.171 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0
0.171 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N
0.171 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
0.171 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
0.171 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
0.171 * [taylor]: Taking taylor expansion of 1 in N
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.171 * [taylor]: Taking taylor expansion of N in N
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [backup-simplify]: Simplify (+ 0 1) into 1
0.172 * [backup-simplify]: Simplify (log 1) into 0
0.172 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.172 * [taylor]: Taking taylor expansion of N in N
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [backup-simplify]: Simplify (log 1) into 0
0.172 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N
0.172 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
0.172 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
0.172 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
0.172 * [taylor]: Taking taylor expansion of 1 in N
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.173 * [taylor]: Taking taylor expansion of N in N
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (/ 1 1) into 1
0.173 * [backup-simplify]: Simplify (+ 0 1) into 1
0.173 * [backup-simplify]: Simplify (log 1) into 0
0.173 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.173 * [taylor]: Taking taylor expansion of N in N
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify (/ 1 1) into 1
0.174 * [backup-simplify]: Simplify (log 1) into 0
0.174 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.174 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.175 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
0.175 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
0.175 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (+ 1 0) into 1
0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.190 * [backup-simplify]: Simplify (- 0) into 0
0.191 * [backup-simplify]: Simplify (+ 1 0) into 1
0.191 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
0.194 * [backup-simplify]: Simplify (- (+ (* 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
0.196 * [backup-simplify]: Simplify (- 0) into 0
0.196 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
0.196 * [backup-simplify]: Simplify -1/2 into -1/2
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.203 * [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
0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.209 * [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
0.209 * [backup-simplify]: Simplify (- 0) into 0
0.210 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
0.210 * [backup-simplify]: Simplify 1/3 into 1/3
0.211 * [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))))
0.211 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N)))
0.211 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0
0.211 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N
0.211 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
0.211 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
0.211 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
0.211 * [taylor]: Taking taylor expansion of 1 in N
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.211 * [taylor]: Taking taylor expansion of -1 in N
0.211 * [backup-simplify]: Simplify -1 into -1
0.211 * [taylor]: Taking taylor expansion of N in N
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (/ -1 1) into -1
0.213 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.213 * [backup-simplify]: Simplify (log -1) into (log -1)
0.213 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
0.213 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.213 * [taylor]: Taking taylor expansion of -1 in N
0.213 * [backup-simplify]: Simplify -1 into -1
0.213 * [taylor]: Taking taylor expansion of N in N
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (/ -1 1) into -1
0.214 * [backup-simplify]: Simplify (log -1) into (log -1)
0.214 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N
0.214 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
0.214 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
0.214 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
0.214 * [taylor]: Taking taylor expansion of 1 in N
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.214 * [taylor]: Taking taylor expansion of -1 in N
0.214 * [backup-simplify]: Simplify -1 into -1
0.214 * [taylor]: Taking taylor expansion of N in N
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (/ -1 1) into -1
0.215 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.215 * [backup-simplify]: Simplify (log -1) into (log -1)
0.216 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
0.216 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.216 * [taylor]: Taking taylor expansion of -1 in N
0.216 * [backup-simplify]: Simplify -1 into -1
0.216 * [taylor]: Taking taylor expansion of N in N
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (/ -1 1) into -1
0.216 * [backup-simplify]: Simplify (log -1) into (log -1)
0.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.219 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
0.219 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (+ 1 0) into 1
0.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
0.225 * [backup-simplify]: Simplify (- 0) into 0
0.225 * [backup-simplify]: Simplify (+ -1 0) into -1
0.225 * [backup-simplify]: Simplify -1 into -1
0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
0.234 * [backup-simplify]: Simplify (- 0) into 0
0.235 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
0.235 * [backup-simplify]: Simplify -1/2 into -1/2
0.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [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
0.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.249 * [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
0.250 * [backup-simplify]: Simplify (- 0) into 0
0.250 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3
0.250 * [backup-simplify]: Simplify -1/3 into -1/3
0.251 * [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))))
0.251 * * * [progress]: simplifying candidates
0.251 * * * * [progress]: [ 1 / 40 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1))))>
0.251 * * * * [progress]: [ 2 / 40 ] simplifiying candidate #<alt (λ (N) (+ (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)))))))>
0.251 * * * * [progress]: [ 3 / 40 ] simplifiying candidate #<alt (λ (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))))))>
0.251 * * * * [progress]: [ 4 / 40 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1))))>
0.251 * * * * [progress]: [ 5 / 40 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1))))>
0.251 * * * * [progress]: [ 6 / 40 ] simplifiying candidate #<alt (λ (N) (+ (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)))))))>
0.251 * * * * [progress]: [ 7 / 40 ] simplifiying candidate #<alt (λ (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))))))>
0.251 * * * * [progress]: [ 8 / 40 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1))))>
0.251 * * * * [progress]: [ 9 / 40 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1))))>
0.251 * * * * [progress]: [ 10 / 40 ] simplifiying candidate #<alt (λ (N) (+ (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)))))))>
0.251 * * * * [progress]: [ 11 / 40 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))))>
0.251 * * * * [progress]: [ 12 / 40 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1))))>
0.252 * * * * [progress]: [ 13 / 40 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (- (log1p N) (log N)))))>
0.252 * * * * [progress]: [ 14 / 40 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (- (log1p N) (log N)))))>
0.252 * * * * [progress]: [ 15 / 40 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N))))>
0.252 * * * * [progress]: [ 16 / 40 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))>
0.252 * * * * [progress]: [ 17 / 40 ] simplifiying candidate #<alt (λ (N) (fma 1 (log1p N) (- (log N))))>
0.252 * * * * [progress]: [ 18 / 40 ] simplifiying candidate #<alt (λ (N) (log (/ (+ 1 N) N)))>
0.252 * * * * [progress]: [ 19 / 40 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (log1p N)) N)))>
0.252 * * * * [progress]: [ 20 / 40 ] simplifiying candidate #<alt (λ (N) (pow (- (log1p N) (log N)) 1))>
0.252 * * * * [progress]: [ 21 / 40 ] simplifiying candidate #<alt (λ (N) (exp (log (- (log1p N) (log N)))))>
0.252 * * * * [progress]: [ 22 / 40 ] simplifiying candidate #<alt (λ (N) (log (exp (- (log1p N) (log N)))))>
0.252 * * * * [progress]: [ 23 / 40 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N)))))>
0.252 * * * * [progress]: [ 24 / 40 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N)))))>
0.252 * * * * [progress]: [ 25 / 40 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N)))))>
0.252 * * * * [progress]: [ 26 / 40 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N))))))>
0.252 * * * * [progress]: [ 27 / 40 ] simplifiying candidate #<alt (λ (N) (+ (log1p N) (- (log N))))>
0.252 * * * * [progress]: [ 28 / 40 ] simplifiying candidate #<alt (λ (N) (* 1 (- (log1p N) (log N))))>
0.252 * * * * [progress]: [ 29 / 40 ] simplifiying candidate #<alt (λ (N) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))))>
0.252 * * * * [progress]: [ 30 / 40 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N)))))>
0.253 * * * * [progress]: [ 31 / 40 ] simplifiying candidate #<alt (λ (N) (* 1 (- (log1p N) (log N))))>
0.253 * * * * [progress]: [ 32 / 40 ] simplifiying candidate #<alt (λ (N) (* 1 (- (log1p N) (log N))))>
0.253 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (log (* (cbrt N) (cbrt N)))) (log (cbrt N))))>
0.253 * * * * [progress]: [ 34 / 40 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (log (sqrt N))) (log (sqrt N))))>
0.253 * * * * [progress]: [ 35 / 40 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (log 1)) (log N)))>
0.253 * * * * [progress]: [ 36 / 40 ] simplifiying candidate #<alt (λ (N) (+ (log1p N) (- (log N))))>
0.253 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (log1p N) (log N)))))>
0.253 * * * * [progress]: [ 38 / 40 ] simplifiying candidate #<alt (λ (N) (- N (+ (log N) (* 1/2 (pow N 2)))))>
0.253 * * * * [progress]: [ 39 / 40 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
0.253 * * * * [progress]: [ 40 / 40 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
0.254 * [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))))
0.255 * * [simplify]: iteration 1: (83 enodes)
0.300 * * [simplify]: iteration 2: (334 enodes)
0.388 * * [simplify]: iteration 3: (561 enodes)
0.578 * * [simplify]: iteration 4: (1169 enodes)
1.686 * * [simplify]: Extracting #0: cost 24 inf + 0
1.687 * * [simplify]: Extracting #1: cost 196 inf + 1
1.692 * * [simplify]: Extracting #2: cost 551 inf + 3214
1.705 * * [simplify]: Extracting #3: cost 381 inf + 59906
1.728 * * [simplify]: Extracting #4: cost 105 inf + 154595
1.776 * * [simplify]: Extracting #5: cost 7 inf + 197350
1.802 * * [simplify]: Extracting #6: cost 0 inf + 199580
1.851 * [simplify]: Simplified to (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (expm1 (- (log1p N) (log N))), (log1p (- (log1p N) (log N))), (- (log N)), (- (log N)), (- (log N)), (/ (+ 1 N) N), (/ (exp (log1p N)) N), (log (- (log1p N) (log N))), (/ (exp (log1p N)) N), (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))), (cbrt (- (log1p N) (log N))), (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))), (sqrt (- (log1p N) (log N))), (sqrt (- (log1p N) (log N))), (- (* (* (log1p N) (log1p N)) (log1p N)) (* (* (log N) (log N)) (log N))), (fma (log N) (+ (log N) (log1p N)) (* (log1p N) (log1p N))), (- (log N)), (- (* (log1p N) (log1p N)) (* (log N) (log N))), (+ (log N) (log1p N)), (+ (sqrt (log N)) (sqrt (log1p N))), (- (sqrt (log1p N)) (sqrt (log N))), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))), (- (log1p N) (log (sqrt N))), (log1p N), (- (log N)), (real->posit16 (- (log1p N) (log N))), (- N (fma (* N N) 1/2 (log N))), (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)), (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))
1.855 * * * [progress]: adding candidates to table
2.144 * * [progress]: iteration 2 / 4
2.144 * * * [progress]: picking best candidate
2.150 * * * * [pick]: Picked  #<alt (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))>
2.150 * * * [progress]: localizing error
2.164 * * * [progress]: generating rewritten candidates
2.164 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
2.165 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
2.166 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
2.167 * * * [progress]: generating series expansions
2.167 * * * * [progress]: [ 1 / 3 ] generating series at (2)
2.168 * [backup-simplify]: Simplify (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) into (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))
2.168 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in (N) around 0
2.168 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N
2.168 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N)))
2.168 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N
2.168 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N
2.168 * [taylor]: Taking taylor expansion of (log1p N) in N
2.168 * [taylor]: Rewrote expression to (log (+ 1 N))
2.168 * [taylor]: Taking taylor expansion of (+ 1 N) in N
2.168 * [taylor]: Taking taylor expansion of 1 in N
2.168 * [backup-simplify]: Simplify 1 into 1
2.168 * [taylor]: Taking taylor expansion of N in N
2.168 * [backup-simplify]: Simplify 0 into 0
2.168 * [backup-simplify]: Simplify 1 into 1
2.169 * [backup-simplify]: Simplify (+ 1 0) into 1
2.169 * [backup-simplify]: Simplify (log 1) into 0
2.169 * [backup-simplify]: Simplify (+ 0 1) into 1
2.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.170 * [backup-simplify]: Simplify (sqrt 0) into 0
2.171 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.171 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N
2.171 * [taylor]: Taking taylor expansion of (log1p N) in N
2.171 * [taylor]: Rewrote expression to (log (+ 1 N))
2.171 * [taylor]: Taking taylor expansion of (+ 1 N) in N
2.171 * [taylor]: Taking taylor expansion of 1 in N
2.171 * [backup-simplify]: Simplify 1 into 1
2.171 * [taylor]: Taking taylor expansion of N in N
2.171 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 1 into 1
2.172 * [backup-simplify]: Simplify (+ 1 0) into 1
2.172 * [backup-simplify]: Simplify (log 1) into 0
2.172 * [backup-simplify]: Simplify (+ 0 1) into 1
2.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.173 * [backup-simplify]: Simplify (sqrt 0) into 0
2.174 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.174 * [taylor]: Taking taylor expansion of (- (log N)) in N
2.174 * [taylor]: Taking taylor expansion of (log N) in N
2.174 * [taylor]: Taking taylor expansion of N in N
2.174 * [backup-simplify]: Simplify 0 into 0
2.174 * [backup-simplify]: Simplify 1 into 1
2.174 * [backup-simplify]: Simplify (log 1) into 0
2.174 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N
2.175 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N)))
2.175 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N
2.175 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N
2.175 * [taylor]: Taking taylor expansion of (log1p N) in N
2.175 * [taylor]: Rewrote expression to (log (+ 1 N))
2.175 * [taylor]: Taking taylor expansion of (+ 1 N) in N
2.175 * [taylor]: Taking taylor expansion of 1 in N
2.175 * [backup-simplify]: Simplify 1 into 1
2.175 * [taylor]: Taking taylor expansion of N in N
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 1 into 1
2.175 * [backup-simplify]: Simplify (+ 1 0) into 1
2.175 * [backup-simplify]: Simplify (log 1) into 0
2.175 * [backup-simplify]: Simplify (+ 0 1) into 1
2.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.177 * [backup-simplify]: Simplify (sqrt 0) into 0
2.178 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.178 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N
2.178 * [taylor]: Taking taylor expansion of (log1p N) in N
2.178 * [taylor]: Rewrote expression to (log (+ 1 N))
2.178 * [taylor]: Taking taylor expansion of (+ 1 N) in N
2.178 * [taylor]: Taking taylor expansion of 1 in N
2.178 * [backup-simplify]: Simplify 1 into 1
2.178 * [taylor]: Taking taylor expansion of N in N
2.178 * [backup-simplify]: Simplify 0 into 0
2.178 * [backup-simplify]: Simplify 1 into 1
2.178 * [backup-simplify]: Simplify (+ 1 0) into 1
2.179 * [backup-simplify]: Simplify (log 1) into 0
2.179 * [backup-simplify]: Simplify (+ 0 1) into 1
2.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.180 * [backup-simplify]: Simplify (sqrt 0) into 0
2.182 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.182 * [taylor]: Taking taylor expansion of (- (log N)) in N
2.182 * [taylor]: Taking taylor expansion of (log N) in N
2.182 * [taylor]: Taking taylor expansion of N in N
2.182 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify 1 into 1
2.182 * [backup-simplify]: Simplify (log 1) into 0
2.189 * [backup-simplify]: Simplify (* 0 0) into 0
2.190 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
2.190 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
2.190 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N))
2.190 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
2.190 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
2.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.192 * [backup-simplify]: Simplify (- 0) into 0
2.192 * [backup-simplify]: Simplify (+ 0 0) into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify (+ 0 0) into 0
2.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.199 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.200 * [backup-simplify]: Simplify (+ 0 0) into 0
2.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.206 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.209 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
2.211 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.212 * [backup-simplify]: Simplify (- 0) into 0
2.212 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
2.213 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.213 * [backup-simplify]: Simplify (+ 0 0) into 0
2.218 * [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
2.222 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.222 * [backup-simplify]: Simplify (+ 0 0) into 0
2.227 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3
2.231 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.236 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
2.240 * [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
2.241 * [backup-simplify]: Simplify (- 0) into 0
2.242 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
2.242 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.244 * [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)))))
2.244 * [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))))
2.244 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in (N) around 0
2.244 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N
2.244 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N))))
2.244 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N
2.244 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N
2.244 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
2.244 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
2.244 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
2.244 * [taylor]: Taking taylor expansion of 1 in N
2.244 * [backup-simplify]: Simplify 1 into 1
2.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.244 * [taylor]: Taking taylor expansion of N in N
2.244 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify 1 into 1
2.245 * [backup-simplify]: Simplify (/ 1 1) into 1
2.245 * [backup-simplify]: Simplify (+ 0 1) into 1
2.246 * [backup-simplify]: Simplify (log 1) into 0
2.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.247 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N)))
2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.248 * [backup-simplify]: Simplify (+ 1 0) into 1
2.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.249 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.250 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N))))
2.250 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N
2.250 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
2.250 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
2.250 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
2.250 * [taylor]: Taking taylor expansion of 1 in N
2.250 * [backup-simplify]: Simplify 1 into 1
2.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.250 * [taylor]: Taking taylor expansion of N in N
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 1 into 1
2.250 * [backup-simplify]: Simplify (/ 1 1) into 1
2.251 * [backup-simplify]: Simplify (+ 0 1) into 1
2.251 * [backup-simplify]: Simplify (log 1) into 0
2.252 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.252 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.252 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N)))
2.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.253 * [backup-simplify]: Simplify (+ 1 0) into 1
2.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.255 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.255 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N))))
2.255 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N
2.255 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
2.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.256 * [taylor]: Taking taylor expansion of N in N
2.256 * [backup-simplify]: Simplify 0 into 0
2.256 * [backup-simplify]: Simplify 1 into 1
2.256 * [backup-simplify]: Simplify (/ 1 1) into 1
2.256 * [backup-simplify]: Simplify (log 1) into 0
2.256 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N
2.257 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N))))
2.257 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N
2.257 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N
2.257 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
2.257 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
2.257 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
2.257 * [taylor]: Taking taylor expansion of 1 in N
2.257 * [backup-simplify]: Simplify 1 into 1
2.257 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.257 * [taylor]: Taking taylor expansion of N in N
2.257 * [backup-simplify]: Simplify 0 into 0
2.257 * [backup-simplify]: Simplify 1 into 1
2.257 * [backup-simplify]: Simplify (/ 1 1) into 1
2.258 * [backup-simplify]: Simplify (+ 0 1) into 1
2.258 * [backup-simplify]: Simplify (log 1) into 0
2.259 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.259 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.259 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N)))
2.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.261 * [backup-simplify]: Simplify (+ 1 0) into 1
2.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.262 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.263 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N))))
2.263 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N
2.263 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
2.263 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
2.263 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
2.263 * [taylor]: Taking taylor expansion of 1 in N
2.263 * [backup-simplify]: Simplify 1 into 1
2.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.263 * [taylor]: Taking taylor expansion of N in N
2.263 * [backup-simplify]: Simplify 0 into 0
2.263 * [backup-simplify]: Simplify 1 into 1
2.263 * [backup-simplify]: Simplify (/ 1 1) into 1
2.264 * [backup-simplify]: Simplify (+ 0 1) into 1
2.265 * [backup-simplify]: Simplify (log 1) into 0
2.265 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.266 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N)))
2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.267 * [backup-simplify]: Simplify (+ 1 0) into 1
2.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.269 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.269 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N))))
2.269 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N
2.269 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
2.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N
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 1) into 1
2.270 * [backup-simplify]: Simplify (log 1) into 0
2.271 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2)
2.271 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.271 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
2.271 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N))
2.271 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N))
2.272 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1
2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.274 * [backup-simplify]: Simplify (- 0) into 0
2.275 * [backup-simplify]: Simplify (+ 1 0) into 1
2.275 * [backup-simplify]: Simplify 1 into 1
2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.276 * [backup-simplify]: Simplify (+ 0 0) into 0
2.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.281 * [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)))))
2.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.283 * [backup-simplify]: Simplify (+ 0 0) into 0
2.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.288 * [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)))))
2.289 * [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)
2.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.293 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.294 * [backup-simplify]: Simplify (- 0) into 0
2.294 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2
2.294 * [backup-simplify]: Simplify -1/2 into -1/2
2.295 * [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))))
2.295 * [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))))
2.295 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in (N) around 0
2.295 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N
2.295 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N))))
2.295 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N
2.295 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N
2.295 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
2.295 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
2.295 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
2.295 * [taylor]: Taking taylor expansion of 1 in N
2.295 * [backup-simplify]: Simplify 1 into 1
2.296 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.296 * [taylor]: Taking taylor expansion of -1 in N
2.296 * [backup-simplify]: Simplify -1 into -1
2.296 * [taylor]: Taking taylor expansion of N in N
2.296 * [backup-simplify]: Simplify 0 into 0
2.296 * [backup-simplify]: Simplify 1 into 1
2.296 * [backup-simplify]: Simplify (/ -1 1) into -1
2.297 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.297 * [backup-simplify]: Simplify (log -1) into (log -1)
2.298 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.299 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.299 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N)))
2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.301 * [backup-simplify]: Simplify (+ 1 0) into 1
2.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
2.304 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.305 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))
2.305 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N
2.305 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
2.305 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
2.305 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
2.305 * [taylor]: Taking taylor expansion of 1 in N
2.305 * [backup-simplify]: Simplify 1 into 1
2.305 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.305 * [taylor]: Taking taylor expansion of -1 in N
2.305 * [backup-simplify]: Simplify -1 into -1
2.305 * [taylor]: Taking taylor expansion of N in N
2.305 * [backup-simplify]: Simplify 0 into 0
2.305 * [backup-simplify]: Simplify 1 into 1
2.306 * [backup-simplify]: Simplify (/ -1 1) into -1
2.306 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.307 * [backup-simplify]: Simplify (log -1) into (log -1)
2.307 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.308 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.309 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N)))
2.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.311 * [backup-simplify]: Simplify (+ 1 0) into 1
2.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
2.313 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.313 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))
2.313 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N
2.314 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
2.314 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.314 * [taylor]: Taking taylor expansion of -1 in N
2.314 * [backup-simplify]: Simplify -1 into -1
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 * [backup-simplify]: Simplify (/ -1 1) into -1
2.314 * [backup-simplify]: Simplify (log -1) into (log -1)
2.315 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N
2.315 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N))))
2.315 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N
2.315 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N
2.315 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
2.315 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
2.315 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
2.315 * [taylor]: Taking taylor expansion of 1 in N
2.315 * [backup-simplify]: Simplify 1 into 1
2.315 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.315 * [taylor]: Taking taylor expansion of -1 in N
2.315 * [backup-simplify]: Simplify -1 into -1
2.315 * [taylor]: Taking taylor expansion of N in N
2.315 * [backup-simplify]: Simplify 0 into 0
2.315 * [backup-simplify]: Simplify 1 into 1
2.315 * [backup-simplify]: Simplify (/ -1 1) into -1
2.316 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.316 * [backup-simplify]: Simplify (log -1) into (log -1)
2.317 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.318 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.318 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N)))
2.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.320 * [backup-simplify]: Simplify (+ 1 0) into 1
2.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
2.322 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.323 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))
2.323 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N
2.323 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
2.323 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
2.323 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
2.323 * [taylor]: Taking taylor expansion of 1 in N
2.323 * [backup-simplify]: Simplify 1 into 1
2.323 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.323 * [taylor]: Taking taylor expansion of -1 in N
2.323 * [backup-simplify]: Simplify -1 into -1
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
2.324 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.324 * [backup-simplify]: Simplify (log -1) into (log -1)
2.325 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.326 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.327 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N)))
2.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.328 * [backup-simplify]: Simplify (+ 1 0) into 1
2.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
2.330 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.331 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))
2.331 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N
2.331 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
2.331 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.331 * [taylor]: Taking taylor expansion of -1 in N
2.331 * [backup-simplify]: Simplify -1 into -1
2.331 * [taylor]: Taking taylor expansion of N in N
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify 1 into 1
2.331 * [backup-simplify]: Simplify (/ -1 1) into -1
2.332 * [backup-simplify]: Simplify (log -1) into (log -1)
2.333 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N))
2.333 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.334 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
2.335 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
2.335 * [backup-simplify]: Simplify 0 into 0
2.336 * [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)
2.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
2.345 * [backup-simplify]: Simplify (- 0) into 0
2.345 * [backup-simplify]: Simplify (+ (- 1) 0) into -1
2.346 * [backup-simplify]: Simplify -1 into -1
2.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.347 * [backup-simplify]: Simplify (+ 0 0) into 0
2.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
2.351 * [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))))))
2.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.353 * [backup-simplify]: Simplify (+ 0 0) into 0
2.355 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
2.357 * [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))))))
2.360 * [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)
2.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
2.363 * [backup-simplify]: Simplify (- 0) into 0
2.363 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2
2.363 * [backup-simplify]: Simplify -1/2 into -1/2
2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.364 * [backup-simplify]: Simplify (+ 0 0) into 0
2.367 * [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
2.368 * [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))))))
2.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.369 * [backup-simplify]: Simplify (+ 0 0) into 0
2.372 * [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
2.374 * [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))))))
2.378 * [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)
2.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.382 * [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
2.382 * [backup-simplify]: Simplify (- 0) into 0
2.382 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3
2.382 * [backup-simplify]: Simplify -1/3 into -1/3
2.383 * [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))))
2.383 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
2.383 * [backup-simplify]: Simplify (sqrt (log1p N)) into (sqrt (log1p N))
2.383 * [approximate]: Taking taylor expansion of (sqrt (log1p N)) in (N) around 0
2.383 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N
2.383 * [taylor]: Taking taylor expansion of (log1p N) in N
2.383 * [taylor]: Rewrote expression to (log (+ 1 N))
2.383 * [taylor]: Taking taylor expansion of (+ 1 N) in N
2.383 * [taylor]: Taking taylor expansion of 1 in N
2.383 * [backup-simplify]: Simplify 1 into 1
2.383 * [taylor]: Taking taylor expansion of N in N
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify 1 into 1
2.383 * [backup-simplify]: Simplify (+ 1 0) into 1
2.384 * [backup-simplify]: Simplify (log 1) into 0
2.384 * [backup-simplify]: Simplify (+ 0 1) into 1
2.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.385 * [backup-simplify]: Simplify (sqrt 0) into 0
2.386 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.386 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N
2.386 * [taylor]: Taking taylor expansion of (log1p N) in N
2.386 * [taylor]: Rewrote expression to (log (+ 1 N))
2.386 * [taylor]: Taking taylor expansion of (+ 1 N) in N
2.386 * [taylor]: Taking taylor expansion of 1 in N
2.386 * [backup-simplify]: Simplify 1 into 1
2.386 * [taylor]: Taking taylor expansion of N in N
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (+ 1 0) into 1
2.387 * [backup-simplify]: Simplify (log 1) into 0
2.387 * [backup-simplify]: Simplify (+ 0 1) into 1
2.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.388 * [backup-simplify]: Simplify (sqrt 0) into 0
2.389 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.390 * [backup-simplify]: Simplify (+ 0 0) into 0
2.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.396 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.396 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.396 * [backup-simplify]: Simplify (+ 0 0) into 0
2.402 * [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
2.407 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.407 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.407 * [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)))))))
2.408 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 N))) into (sqrt (log1p (/ 1 N)))
2.408 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in (N) around 0
2.408 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N
2.408 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
2.408 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
2.408 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
2.408 * [taylor]: Taking taylor expansion of 1 in N
2.408 * [backup-simplify]: Simplify 1 into 1
2.408 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.408 * [taylor]: Taking taylor expansion of N in N
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 1 into 1
2.408 * [backup-simplify]: Simplify (/ 1 1) into 1
2.409 * [backup-simplify]: Simplify (+ 0 1) into 1
2.409 * [backup-simplify]: Simplify (log 1) into 0
2.409 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.409 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.410 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N)))
2.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.410 * [backup-simplify]: Simplify (+ 1 0) into 1
2.411 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.412 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N))))
2.412 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N
2.412 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
2.412 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
2.412 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
2.412 * [taylor]: Taking taylor expansion of 1 in N
2.412 * [backup-simplify]: Simplify 1 into 1
2.412 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.412 * [taylor]: Taking taylor expansion of N in N
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 1 into 1
2.412 * [backup-simplify]: Simplify (/ 1 1) into 1
2.413 * [backup-simplify]: Simplify (+ 0 1) into 1
2.413 * [backup-simplify]: Simplify (log 1) into 0
2.413 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.414 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.414 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N)))
2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.415 * [backup-simplify]: Simplify (+ 1 0) into 1
2.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.416 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.416 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N))))
2.417 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N)))
2.417 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N))))
2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.418 * [backup-simplify]: Simplify (+ 0 0) into 0
2.420 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.420 * [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)))))
2.420 * [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)))))
2.421 * [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)))))))))
2.421 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- N)))) into (sqrt (log1p (/ -1 N)))
2.421 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in (N) around 0
2.421 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N
2.421 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
2.421 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
2.421 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
2.421 * [taylor]: Taking taylor expansion of 1 in N
2.421 * [backup-simplify]: Simplify 1 into 1
2.421 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.421 * [taylor]: Taking taylor expansion of -1 in N
2.421 * [backup-simplify]: Simplify -1 into -1
2.421 * [taylor]: Taking taylor expansion of N in N
2.421 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify 1 into 1
2.421 * [backup-simplify]: Simplify (/ -1 1) into -1
2.422 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.422 * [backup-simplify]: Simplify (log -1) into (log -1)
2.423 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.423 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.423 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N)))
2.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.424 * [backup-simplify]: Simplify (+ 1 0) into 1
2.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
2.426 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.426 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))
2.426 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N
2.426 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
2.426 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
2.426 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
2.426 * [taylor]: Taking taylor expansion of 1 in N
2.426 * [backup-simplify]: Simplify 1 into 1
2.426 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.426 * [taylor]: Taking taylor expansion of -1 in N
2.426 * [backup-simplify]: Simplify -1 into -1
2.426 * [taylor]: Taking taylor expansion of N in N
2.426 * [backup-simplify]: Simplify 0 into 0
2.426 * [backup-simplify]: Simplify 1 into 1
2.426 * [backup-simplify]: Simplify (/ -1 1) into -1
2.427 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.427 * [backup-simplify]: Simplify (log -1) into (log -1)
2.427 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.428 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.428 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N)))
2.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.429 * [backup-simplify]: Simplify (+ 1 0) into 1
2.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
2.430 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.431 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))
2.431 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N)))
2.431 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))
2.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.432 * [backup-simplify]: Simplify (+ 0 0) into 0
2.434 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
2.434 * [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))))))
2.435 * [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))))))
2.436 * [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)))))))))
2.436 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
2.437 * [backup-simplify]: Simplify (sqrt (log1p N)) into (sqrt (log1p N))
2.437 * [approximate]: Taking taylor expansion of (sqrt (log1p N)) in (N) around 0
2.437 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N
2.437 * [taylor]: Taking taylor expansion of (log1p N) in N
2.437 * [taylor]: Rewrote expression to (log (+ 1 N))
2.437 * [taylor]: Taking taylor expansion of (+ 1 N) in N
2.437 * [taylor]: Taking taylor expansion of 1 in N
2.437 * [backup-simplify]: Simplify 1 into 1
2.437 * [taylor]: Taking taylor expansion of N in N
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify 1 into 1
2.437 * [backup-simplify]: Simplify (+ 1 0) into 1
2.437 * [backup-simplify]: Simplify (log 1) into 0
2.438 * [backup-simplify]: Simplify (+ 0 1) into 1
2.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.438 * [backup-simplify]: Simplify (sqrt 0) into 0
2.439 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.439 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N
2.439 * [taylor]: Taking taylor expansion of (log1p N) in N
2.439 * [taylor]: Rewrote expression to (log (+ 1 N))
2.439 * [taylor]: Taking taylor expansion of (+ 1 N) in N
2.439 * [taylor]: Taking taylor expansion of 1 in N
2.439 * [backup-simplify]: Simplify 1 into 1
2.439 * [taylor]: Taking taylor expansion of N in N
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify 1 into 1
2.440 * [backup-simplify]: Simplify (+ 1 0) into 1
2.440 * [backup-simplify]: Simplify (log 1) into 0
2.440 * [backup-simplify]: Simplify (+ 0 1) into 1
2.442 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.442 * [backup-simplify]: Simplify (sqrt 0) into 0
2.443 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.443 * [backup-simplify]: Simplify 0 into 0
2.443 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.444 * [backup-simplify]: Simplify (+ 0 0) into 0
2.447 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.450 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.451 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.451 * [backup-simplify]: Simplify (+ 0 0) into 0
2.458 * [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
2.461 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.461 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.462 * [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)))))))
2.462 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 N))) into (sqrt (log1p (/ 1 N)))
2.462 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in (N) around 0
2.462 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N
2.462 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
2.462 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
2.462 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
2.462 * [taylor]: Taking taylor expansion of 1 in N
2.462 * [backup-simplify]: Simplify 1 into 1
2.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.462 * [taylor]: Taking taylor expansion of N in N
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 1 into 1
2.462 * [backup-simplify]: Simplify (/ 1 1) into 1
2.463 * [backup-simplify]: Simplify (+ 0 1) into 1
2.463 * [backup-simplify]: Simplify (log 1) into 0
2.463 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.463 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.463 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N)))
2.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.464 * [backup-simplify]: Simplify (+ 1 0) into 1
2.465 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.465 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.465 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N))))
2.465 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N
2.465 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
2.465 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
2.465 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
2.465 * [taylor]: Taking taylor expansion of 1 in N
2.465 * [backup-simplify]: Simplify 1 into 1
2.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.465 * [taylor]: Taking taylor expansion of N in N
2.465 * [backup-simplify]: Simplify 0 into 0
2.465 * [backup-simplify]: Simplify 1 into 1
2.466 * [backup-simplify]: Simplify (/ 1 1) into 1
2.466 * [backup-simplify]: Simplify (+ 0 1) into 1
2.466 * [backup-simplify]: Simplify (log 1) into 0
2.466 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.467 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.467 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N)))
2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.467 * [backup-simplify]: Simplify (+ 1 0) into 1
2.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.468 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.468 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N))))
2.469 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N)))
2.469 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N))))
2.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.469 * [backup-simplify]: Simplify (+ 0 0) into 0
2.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
2.471 * [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)))))
2.471 * [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)))))
2.472 * [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)))))))))
2.472 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- N)))) into (sqrt (log1p (/ -1 N)))
2.472 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in (N) around 0
2.472 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N
2.472 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
2.472 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
2.472 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
2.472 * [taylor]: Taking taylor expansion of 1 in N
2.472 * [backup-simplify]: Simplify 1 into 1
2.472 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.472 * [taylor]: Taking taylor expansion of -1 in N
2.472 * [backup-simplify]: Simplify -1 into -1
2.472 * [taylor]: Taking taylor expansion of N in N
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 1 into 1
2.472 * [backup-simplify]: Simplify (/ -1 1) into -1
2.473 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.473 * [backup-simplify]: Simplify (log -1) into (log -1)
2.473 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.474 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.474 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N)))
2.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.475 * [backup-simplify]: Simplify (+ 1 0) into 1
2.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
2.476 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.477 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))
2.477 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N
2.477 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
2.477 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
2.477 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
2.477 * [taylor]: Taking taylor expansion of 1 in N
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.477 * [taylor]: Taking taylor expansion of -1 in N
2.477 * [backup-simplify]: Simplify -1 into -1
2.477 * [taylor]: Taking taylor expansion of N in N
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.478 * [backup-simplify]: Simplify (/ -1 1) into -1
2.478 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.478 * [backup-simplify]: Simplify (log -1) into (log -1)
2.479 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.480 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.480 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N)))
2.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.482 * [backup-simplify]: Simplify (+ 1 0) into 1
2.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
2.485 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.486 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))
2.486 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N)))
2.487 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))
2.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.489 * [backup-simplify]: Simplify (+ 0 0) into 0
2.492 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
2.493 * [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))))))
2.494 * [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))))))
2.497 * [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)))))))))
2.497 * * * [progress]: simplifying candidates
2.497 * * * * [progress]: [ 1 / 52 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))>
2.497 * * * * [progress]: [ 2 / 52 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))>
2.497 * * * * [progress]: [ 3 / 52 ] simplifiying candidate #<alt (λ (N) (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))))>
2.497 * * * * [progress]: [ 4 / 52 ] simplifiying candidate #<alt (λ (N) (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 1))>
2.497 * * * * [progress]: [ 5 / 52 ] simplifiying candidate #<alt (λ (N) (exp (log (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))>
2.497 * * * * [progress]: [ 6 / 52 ] simplifiying candidate #<alt (λ (N) (log (exp (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))>
2.497 * * * * [progress]: [ 7 / 52 ] simplifiying candidate #<alt (λ (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))))))>
2.497 * * * * [progress]: [ 8 / 52 ] simplifiying candidate #<alt (λ (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))))))>
2.497 * * * * [progress]: [ 9 / 52 ] simplifiying candidate #<alt (λ (N) (* (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))>
2.497 * * * * [progress]: [ 10 / 52 ] simplifiying candidate #<alt (λ (N) (* 1 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))>
2.497 * * * * [progress]: [ 11 / 52 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))>
2.497 * * * * [progress]: [ 12 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (log1p (expm1 (sqrt (log1p N)))) (- (log N))))>
2.497 * * * * [progress]: [ 13 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (expm1 (log1p (sqrt (log1p N)))) (- (log N))))>
2.497 * * * * [progress]: [ 14 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (pow (log1p N) 1/2) (- (log N))))>
2.497 * * * * [progress]: [ 15 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (pow (sqrt (log1p N)) 1) (- (log N))))>
2.497 * * * * [progress]: [ 16 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (exp (log (sqrt (log1p N)))) (- (log N))))>
2.497 * * * * [progress]: [ 17 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (log (exp (sqrt (log1p N)))) (- (log N))))>
2.497 * * * * [progress]: [ 18 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (* (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (cbrt (sqrt (log1p N)))) (- (log N))))>
2.498 * * * * [progress]: [ 19 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (cbrt (* (* (sqrt (log1p N)) (sqrt (log1p N))) (sqrt (log1p N)))) (- (log N))))>
2.498 * * * * [progress]: [ 20 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (* (sqrt (* (cbrt (log1p N)) (cbrt (log1p N)))) (sqrt (cbrt (log1p N)))) (- (log N))))>
2.498 * * * * [progress]: [ 21 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (* (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N)))) (- (log N))))>
2.498 * * * * [progress]: [ 22 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (* (sqrt 1) (sqrt (log1p N))) (- (log N))))>
2.498 * * * * [progress]: [ 23 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (pow (log1p N) (/ 1 2)) (- (log N))))>
2.498 * * * * [progress]: [ 24 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (* (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N)))) (- (log N))))>
2.498 * * * * [progress]: [ 25 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (fabs (sqrt (log1p N))) (- (log N))))>
2.498 * * * * [progress]: [ 26 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (* 1 (sqrt (log1p N))) (- (log N))))>
2.498 * * * * [progress]: [ 27 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (posit16->real (real->posit16 (sqrt (log1p N)))) (- (log N))))>
2.498 * * * * [progress]: [ 28 / 52 ] simplifiying candidate #<alt (λ (N) (fma (log1p (expm1 (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 29 / 52 ] simplifiying candidate #<alt (λ (N) (fma (expm1 (log1p (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 30 / 52 ] simplifiying candidate #<alt (λ (N) (fma (pow (log1p N) 1/2) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 31 / 52 ] simplifiying candidate #<alt (λ (N) (fma (pow (sqrt (log1p N)) 1) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 32 / 52 ] simplifiying candidate #<alt (λ (N) (fma (exp (log (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 33 / 52 ] simplifiying candidate #<alt (λ (N) (fma (log (exp (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 34 / 52 ] simplifiying candidate #<alt (λ (N) (fma (* (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (cbrt (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 35 / 52 ] simplifiying candidate #<alt (λ (N) (fma (cbrt (* (* (sqrt (log1p N)) (sqrt (log1p N))) (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 36 / 52 ] simplifiying candidate #<alt (λ (N) (fma (* (sqrt (* (cbrt (log1p N)) (cbrt (log1p N)))) (sqrt (cbrt (log1p N)))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 37 / 52 ] simplifiying candidate #<alt (λ (N) (fma (* (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 38 / 52 ] simplifiying candidate #<alt (λ (N) (fma (* (sqrt 1) (sqrt (log1p N))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 39 / 52 ] simplifiying candidate #<alt (λ (N) (fma (pow (log1p N) (/ 1 2)) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 40 / 52 ] simplifiying candidate #<alt (λ (N) (fma (* (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 41 / 52 ] simplifiying candidate #<alt (λ (N) (fma (fabs (sqrt (log1p N))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 42 / 52 ] simplifiying candidate #<alt (λ (N) (fma (* 1 (sqrt (log1p N))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #<alt (λ (N) (fma (posit16->real (real->posit16 (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))>
2.498 * * * * [progress]: [ 44 / 52 ] simplifiying candidate #<alt (λ (N) (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))))>
2.498 * * * * [progress]: [ 45 / 52 ] simplifiying candidate #<alt (λ (N) (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))))>
2.498 * * * * [progress]: [ 46 / 52 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
2.498 * * * * [progress]: [ 47 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- (* +nan.0 (pow N 3))))))) (- (log N))))>
2.498 * * * * [progress]: [ 48 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (- (+ (* 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))))))))) (- (log N))))>
2.499 * * * * [progress]: [ 49 / 52 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p 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))))))))) (- (log N))))>
2.499 * * * * [progress]: [ 50 / 52 ] simplifiying candidate #<alt (λ (N) (fma (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- (* +nan.0 (pow N 3))))))) (sqrt (log1p N)) (- (log N))))>
2.499 * * * * [progress]: [ 51 / 52 ] simplifiying candidate #<alt (λ (N) (fma (- (+ (* 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 (log1p N)) (- (log N))))>
2.499 * * * * [progress]: [ 52 / 52 ] simplifiying candidate #<alt (λ (N) (fma (- (+ (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))))))))) (sqrt (log1p N)) (- (log N))))>
2.499 * [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)))))))))
2.500 * * [simplify]: iteration 1: (100 enodes)
2.531 * * [simplify]: iteration 2: (419 enodes)
2.654 * * [simplify]: iteration 3: (840 enodes)
3.022 * * [simplify]: Extracting #0: cost 30 inf + 0
3.023 * * [simplify]: Extracting #1: cost 197 inf + 2
3.026 * * [simplify]: Extracting #2: cost 466 inf + 1332
3.036 * * [simplify]: Extracting #3: cost 385 inf + 31127
3.053 * * [simplify]: Extracting #4: cost 175 inf + 79359
3.079 * * [simplify]: Extracting #5: cost 89 inf + 111913
3.111 * * [simplify]: Extracting #6: cost 59 inf + 131192
3.159 * * [simplify]: Extracting #7: cost 1 inf + 151956
3.197 * * [simplify]: Extracting #8: cost 0 inf + 152471
3.241 * [simplify]: Simplified to (expm1 (- (log1p N) (log N))), (log1p (- (log1p N) (log N))), (log1p N), (log (- (log1p N) (log N))), (* (/ 1 N) (exp (log1p 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))), (- (- (log N) (* (* N +nan.0) (- (* N N) N)))), (fma -1/2 (/ (/ 1 N) N) (+ (- (log N) (log N)) (/ 1 N))), (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))), (* +nan.0 (+ (- (* N N)) (- N (* (* N N) N)))), (fma (/ 1/2 (sqrt (log N))) (/ 1 N) (- (sqrt (log N)) (* (/ (/ 1 N) N) (+ (/ 1/4 (sqrt (log N))) (/ (/ 1/8 (log N)) (sqrt (log N))))))), (- (fma 1/2 (/ (sqrt (/ 1 (+ 0 (log N)))) N) (sqrt (+ 0 (log N)))) (fma 1/4 (/ (sqrt (/ 1 (+ 0 (log N)))) (* N N)) (* (sqrt (/ (/ (/ 1 (+ 0 (log N))) (+ 0 (log N))) (+ 0 (log N)))) (/ 1/8 (* N N))))), (* +nan.0 (+ (- (* N N)) (- N (* (* N N) N)))), (fma (/ 1/2 (sqrt (log N))) (/ 1 N) (- (sqrt (log N)) (* (/ (/ 1 N) N) (+ (/ 1/4 (sqrt (log N))) (/ (/ 1/8 (log N)) (sqrt (log N))))))), (- (fma 1/2 (/ (sqrt (/ 1 (+ 0 (log N)))) N) (sqrt (+ 0 (log N)))) (fma 1/4 (/ (sqrt (/ 1 (+ 0 (log N)))) (* N N)) (* (sqrt (/ (/ (/ 1 (+ 0 (log N))) (+ 0 (log N))) (+ 0 (log N)))) (/ 1/8 (* N N)))))
3.244 * * * [progress]: adding candidates to table
3.787 * * [progress]: iteration 3 / 4
3.787 * * * [progress]: picking best candidate
3.797 * * * * [pick]: Picked  #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))>
3.797 * * * [progress]: localizing error
3.833 * * * [progress]: generating rewritten candidates
3.833 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
4.034 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
4.037 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1)
4.037 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1)
4.042 * * * [progress]: generating series expansions
4.042 * * * * [progress]: [ 1 / 4 ] generating series at (2)
4.042 * [backup-simplify]: Simplify (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))) into (- (log1p N) (* 3 (log (pow N 1/3))))
4.042 * [approximate]: Taking taylor expansion of (- (log1p N) (* 3 (log (pow N 1/3)))) in (N) around 0
4.042 * [taylor]: Taking taylor expansion of (- (log1p N) (* 3 (log (pow N 1/3)))) in N
4.042 * [taylor]: Taking taylor expansion of (log1p N) in N
4.042 * [taylor]: Rewrote expression to (log (+ 1 N))
4.042 * [taylor]: Taking taylor expansion of (+ 1 N) in N
4.042 * [taylor]: Taking taylor expansion of 1 in N
4.042 * [backup-simplify]: Simplify 1 into 1
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 0) into 1
4.043 * [backup-simplify]: Simplify (log 1) into 0
4.043 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N
4.043 * [taylor]: Taking taylor expansion of 3 in N
4.043 * [backup-simplify]: Simplify 3 into 3
4.043 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N
4.043 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
4.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
4.043 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
4.043 * [taylor]: Taking taylor expansion of 1/3 in N
4.043 * [backup-simplify]: Simplify 1/3 into 1/3
4.043 * [taylor]: Taking taylor expansion of (log N) in N
4.043 * [taylor]: Taking taylor expansion of N in N
4.043 * [backup-simplify]: Simplify 0 into 0
4.043 * [backup-simplify]: Simplify 1 into 1
4.044 * [backup-simplify]: Simplify (log 1) into 0
4.044 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.044 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.044 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.044 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3))
4.044 * [taylor]: Taking taylor expansion of (- (log1p N) (* 3 (log (pow N 1/3)))) in N
4.044 * [taylor]: Taking taylor expansion of (log1p N) in N
4.044 * [taylor]: Rewrote expression to (log (+ 1 N))
4.045 * [taylor]: Taking taylor expansion of (+ 1 N) in N
4.045 * [taylor]: Taking taylor expansion of 1 in N
4.045 * [backup-simplify]: Simplify 1 into 1
4.045 * [taylor]: Taking taylor expansion of N in N
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 1 into 1
4.045 * [backup-simplify]: Simplify (+ 1 0) into 1
4.045 * [backup-simplify]: Simplify (log 1) into 0
4.045 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N
4.045 * [taylor]: Taking taylor expansion of 3 in N
4.045 * [backup-simplify]: Simplify 3 into 3
4.045 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N
4.045 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
4.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
4.045 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
4.045 * [taylor]: Taking taylor expansion of 1/3 in N
4.045 * [backup-simplify]: Simplify 1/3 into 1/3
4.045 * [taylor]: Taking taylor expansion of (log N) in N
4.045 * [taylor]: Taking taylor expansion of N in N
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 1 into 1
4.046 * [backup-simplify]: Simplify (log 1) into 0
4.046 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.046 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.046 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.046 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3))
4.046 * [backup-simplify]: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3)))
4.046 * [backup-simplify]: Simplify (- (* 3 (log (pow N 1/3)))) into (- (* 3 (log (pow N 1/3))))
4.046 * [backup-simplify]: Simplify (+ 0 (- (* 3 (log (pow N 1/3))))) into (- (* 3 (log (pow N 1/3))))
4.046 * [backup-simplify]: Simplify (- (* 3 (log (pow N 1/3)))) into (- (* 3 (log (pow N 1/3))))
4.047 * [backup-simplify]: Simplify (+ 0 1) into 1
4.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
4.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.050 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
4.051 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 1/3) 1)))) 1) into 0
4.052 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (pow N 1/3)))) into 0
4.052 * [backup-simplify]: Simplify (- 0) into 0
4.052 * [backup-simplify]: Simplify (+ 1 0) into 1
4.052 * [backup-simplify]: Simplify 1 into 1
4.054 * [backup-simplify]: Simplify (+ 0 0) into 0
4.055 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
4.057 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.057 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.057 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
4.058 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.059 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 1/3) 1)))) 2) into 0
4.060 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow N 1/3))))) into 0
4.060 * [backup-simplify]: Simplify (- 0) into 0
4.060 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
4.060 * [backup-simplify]: Simplify -1/2 into -1/2
4.060 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (* 3 (log (pow N 1/3)))))) into (- N (+ (* 3 (log (pow N 1/3))) (* 1/2 (pow N 2))))
4.061 * [backup-simplify]: Simplify (- (- (log1p (/ 1 N)) (+ (log (cbrt (/ 1 N))) (log (cbrt (/ 1 N))))) (log (cbrt (/ 1 N)))) into (- (log1p (/ 1 N)) (* 3 (log (pow (/ 1 N) 1/3))))
4.061 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (* 3 (log (pow (/ 1 N) 1/3)))) in (N) around 0
4.061 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (* 3 (log (pow (/ 1 N) 1/3)))) in N
4.061 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
4.061 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
4.061 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
4.061 * [taylor]: Taking taylor expansion of 1 in N
4.061 * [backup-simplify]: Simplify 1 into 1
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 * [backup-simplify]: Simplify (+ 0 1) into 1
4.062 * [backup-simplify]: Simplify (log 1) into 0
4.062 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N
4.062 * [taylor]: Taking taylor expansion of 3 in N
4.062 * [backup-simplify]: Simplify 3 into 3
4.062 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N
4.062 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.062 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.062 * [taylor]: Taking taylor expansion of 1/3 in N
4.062 * [backup-simplify]: Simplify 1/3 into 1/3
4.062 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.062 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.062 * [taylor]: Taking taylor expansion of N in N
4.062 * [backup-simplify]: Simplify 0 into 0
4.062 * [backup-simplify]: Simplify 1 into 1
4.062 * [backup-simplify]: Simplify (/ 1 1) into 1
4.062 * [backup-simplify]: Simplify (log 1) into 0
4.062 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.063 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.063 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.063 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3))
4.063 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (* 3 (log (pow (/ 1 N) 1/3)))) in N
4.063 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N
4.063 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N)))
4.063 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N
4.063 * [taylor]: Taking taylor expansion of 1 in N
4.063 * [backup-simplify]: Simplify 1 into 1
4.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.063 * [taylor]: Taking taylor expansion of N in N
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify 1 into 1
4.063 * [backup-simplify]: Simplify (/ 1 1) into 1
4.063 * [backup-simplify]: Simplify (+ 0 1) into 1
4.064 * [backup-simplify]: Simplify (log 1) into 0
4.064 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N
4.064 * [taylor]: Taking taylor expansion of 3 in N
4.064 * [backup-simplify]: Simplify 3 into 3
4.064 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N
4.064 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.064 * [taylor]: Taking taylor expansion of 1/3 in N
4.064 * [backup-simplify]: Simplify 1/3 into 1/3
4.064 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.064 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.064 * [taylor]: Taking taylor expansion of N in N
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify 1 into 1
4.064 * [backup-simplify]: Simplify (/ 1 1) into 1
4.065 * [backup-simplify]: Simplify (log 1) into 0
4.065 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.065 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.065 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.065 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3))
4.066 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.066 * [backup-simplify]: Simplify (* 3 (log (pow N -1/3))) into (* 3 (log (pow N -1/3)))
4.066 * [backup-simplify]: Simplify (- (* 3 (log (pow N -1/3)))) into (- (* 3 (log (pow N -1/3))))
4.066 * [backup-simplify]: Simplify (+ (- (log N)) (- (* 3 (log (pow N -1/3))))) into (- (+ (log N) (* 3 (log (pow N -1/3)))))
4.066 * [backup-simplify]: Simplify (- (+ (log N) (* 3 (log (pow N -1/3))))) into (- (+ (log N) (* 3 (log (pow N -1/3)))))
4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.067 * [backup-simplify]: Simplify (+ 1 0) into 1
4.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.071 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.071 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.072 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N -1/3) 1)))) 1) into 0
4.073 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (pow N -1/3)))) into 0
4.074 * [backup-simplify]: Simplify (- 0) into 0
4.074 * [backup-simplify]: Simplify (+ 1 0) into 1
4.074 * [backup-simplify]: Simplify 1 into 1
4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.075 * [backup-simplify]: Simplify (+ 0 0) into 0
4.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.081 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.082 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.082 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.084 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N -1/3) 1)))) 2) into 0
4.086 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow N -1/3))))) into 0
4.087 * [backup-simplify]: Simplify (- 0) into 0
4.087 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
4.087 * [backup-simplify]: Simplify -1/2 into -1/2
4.087 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (+ (log (/ 1 N)) (* 3 (log (pow (/ 1 N) -1/3))))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (+ (log (/ 1 N)) (* 3 (log (pow (/ 1 N) -1/3))))))
4.088 * [backup-simplify]: Simplify (- (- (log1p (/ 1 (- N))) (+ (log (cbrt (/ 1 (- N)))) (log (cbrt (/ 1 (- N)))))) (log (cbrt (/ 1 (- N))))) into (- (log1p (/ -1 N)) (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1)))))
4.088 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1))))) in (N) around 0
4.088 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1))))) in N
4.088 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
4.088 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
4.088 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
4.088 * [taylor]: Taking taylor expansion of 1 in N
4.088 * [backup-simplify]: Simplify 1 into 1
4.088 * [taylor]: Taking taylor expansion of (/ -1 N) in N
4.088 * [taylor]: Taking taylor expansion of -1 in N
4.088 * [backup-simplify]: Simplify -1 into -1
4.088 * [taylor]: Taking taylor expansion of N in N
4.088 * [backup-simplify]: Simplify 0 into 0
4.088 * [backup-simplify]: Simplify 1 into 1
4.089 * [backup-simplify]: Simplify (/ -1 1) into -1
4.089 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.089 * [backup-simplify]: Simplify (log -1) into (log -1)
4.089 * [taylor]: Taking taylor expansion of (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1)))) in N
4.090 * [taylor]: Taking taylor expansion of 3 in N
4.090 * [backup-simplify]: Simplify 3 into 3
4.090 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (cbrt -1))) in N
4.090 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.090 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.090 * [taylor]: Taking taylor expansion of 1/3 in N
4.090 * [backup-simplify]: Simplify 1/3 into 1/3
4.090 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.090 * [taylor]: Taking taylor expansion of N in N
4.090 * [backup-simplify]: Simplify 0 into 0
4.090 * [backup-simplify]: Simplify 1 into 1
4.090 * [backup-simplify]: Simplify (/ 1 1) into 1
4.090 * [backup-simplify]: Simplify (log 1) into 0
4.091 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.091 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.091 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.091 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.091 * [taylor]: Taking taylor expansion of -1 in N
4.091 * [backup-simplify]: Simplify -1 into -1
4.092 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.092 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.093 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.093 * [backup-simplify]: Simplify (log (* (pow (/ 1 N) 1/3) (cbrt -1))) into (log (* (pow (/ 1 N) 1/3) (cbrt -1)))
4.093 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1))))) in N
4.093 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N
4.093 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N)))
4.093 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N
4.093 * [taylor]: Taking taylor expansion of 1 in N
4.093 * [backup-simplify]: Simplify 1 into 1
4.093 * [taylor]: Taking taylor expansion of (/ -1 N) in N
4.093 * [taylor]: Taking taylor expansion of -1 in N
4.093 * [backup-simplify]: Simplify -1 into -1
4.093 * [taylor]: Taking taylor expansion of N in N
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.094 * [backup-simplify]: Simplify (/ -1 1) into -1
4.094 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.094 * [backup-simplify]: Simplify (log -1) into (log -1)
4.094 * [taylor]: Taking taylor expansion of (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1)))) in N
4.094 * [taylor]: Taking taylor expansion of 3 in N
4.094 * [backup-simplify]: Simplify 3 into 3
4.094 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (cbrt -1))) in N
4.094 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.094 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.094 * [taylor]: Taking taylor expansion of 1/3 in N
4.094 * [backup-simplify]: Simplify 1/3 into 1/3
4.094 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.094 * [taylor]: Taking taylor expansion of N in N
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 1 into 1
4.095 * [backup-simplify]: Simplify (/ 1 1) into 1
4.095 * [backup-simplify]: Simplify (log 1) into 0
4.095 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.095 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.095 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.095 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.095 * [taylor]: Taking taylor expansion of -1 in N
4.095 * [backup-simplify]: Simplify -1 into -1
4.096 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.096 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.096 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.097 * [backup-simplify]: Simplify (log (* (pow (/ 1 N) 1/3) (cbrt -1))) into (log (* (pow (/ 1 N) 1/3) (cbrt -1)))
4.097 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
4.098 * [backup-simplify]: Simplify (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1)))) into (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1))))
4.098 * [backup-simplify]: Simplify (- (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1))))) into (- (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1)))))
4.099 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1)))))) into (- (log -1) (+ (log N) (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1))))))
4.099 * [backup-simplify]: Simplify (- (log -1) (+ (log N) (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1)))))) into (- (log -1) (+ (log N) (* 3 (log (* (pow (/ 1 N) 1/3) (cbrt -1))))))
4.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.100 * [backup-simplify]: Simplify (+ 1 0) into 1
4.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.102 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.103 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.103 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.103 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
4.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (pow (/ 1 N) 1/3) (cbrt -1)) 1)))) 1) into 0
4.105 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (* (pow (/ 1 N) 1/3) (cbrt -1))))) into 0
4.105 * [backup-simplify]: Simplify (- 0) into 0
4.105 * [backup-simplify]: Simplify (+ -1 0) into -1
4.105 * [backup-simplify]: Simplify -1 into -1
4.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.106 * [backup-simplify]: Simplify (+ 0 0) into 0
4.108 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
4.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.111 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.111 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.112 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.113 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.114 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.116 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (pow (/ 1 N) 1/3) (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (pow (/ 1 N) 1/3) (cbrt -1)) 1)))) 2) into 0
4.117 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (pow (/ 1 N) 1/3) (cbrt -1)))))) into 0
4.117 * [backup-simplify]: Simplify (- 0) into 0
4.117 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
4.117 * [backup-simplify]: Simplify -1/2 into -1/2
4.118 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (+ (log (/ 1 (- N))) (* 3 (log (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)))))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (+ (* 3 (log (* (pow (* N -1) 1/3) (cbrt -1)))) (log (/ -1 N)))))
4.118 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
4.118 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
4.118 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
4.118 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
4.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
4.118 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
4.119 * [taylor]: Taking taylor expansion of 1/3 in N
4.119 * [backup-simplify]: Simplify 1/3 into 1/3
4.119 * [taylor]: Taking taylor expansion of (log N) in N
4.119 * [taylor]: Taking taylor expansion of N in N
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify 1 into 1
4.119 * [backup-simplify]: Simplify (log 1) into 0
4.119 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.119 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.119 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.119 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
4.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
4.119 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
4.119 * [taylor]: Taking taylor expansion of 1/3 in N
4.119 * [backup-simplify]: Simplify 1/3 into 1/3
4.119 * [taylor]: Taking taylor expansion of (log N) in N
4.119 * [taylor]: Taking taylor expansion of N in N
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify 1 into 1
4.120 * [backup-simplify]: Simplify (log 1) into 0
4.120 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.120 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.120 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.120 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.122 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.122 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
4.123 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.123 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.126 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.127 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
4.129 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.129 * [backup-simplify]: Simplify 0 into 0
4.134 * [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
4.134 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.135 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
4.137 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.137 * [backup-simplify]: Simplify 0 into 0
4.157 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.157 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
4.159 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.160 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.169 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.170 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
4.173 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.173 * [backup-simplify]: Simplify 0 into 0
4.191 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.191 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.193 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
4.195 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.195 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.196 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
4.196 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
4.196 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.196 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.196 * [taylor]: Taking taylor expansion of 1/3 in N
4.196 * [backup-simplify]: Simplify 1/3 into 1/3
4.196 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.196 * [taylor]: Taking taylor expansion of N in N
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 1 into 1
4.196 * [backup-simplify]: Simplify (/ 1 1) into 1
4.196 * [backup-simplify]: Simplify (log 1) into 0
4.197 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.197 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.197 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.197 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.197 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.197 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.197 * [taylor]: Taking taylor expansion of 1/3 in N
4.197 * [backup-simplify]: Simplify 1/3 into 1/3
4.197 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.197 * [taylor]: Taking taylor expansion of N in N
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify 1 into 1
4.197 * [backup-simplify]: Simplify (/ 1 1) into 1
4.197 * [backup-simplify]: Simplify (log 1) into 0
4.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.198 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.198 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.198 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
4.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.200 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.200 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.200 * [backup-simplify]: Simplify 0 into 0
4.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.202 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.203 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.204 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.207 * [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
4.207 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.208 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
4.210 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.210 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.221 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.222 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.223 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.226 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.226 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.241 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.241 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.242 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.245 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.271 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.271 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.273 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.279 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.279 * [backup-simplify]: Simplify 0 into 0
4.279 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
4.279 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.279 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
4.279 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.279 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.279 * [taylor]: Taking taylor expansion of 1/3 in N
4.279 * [backup-simplify]: Simplify 1/3 into 1/3
4.279 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.279 * [taylor]: Taking taylor expansion of N in N
4.279 * [backup-simplify]: Simplify 0 into 0
4.280 * [backup-simplify]: Simplify 1 into 1
4.280 * [backup-simplify]: Simplify (/ 1 1) into 1
4.280 * [backup-simplify]: Simplify (log 1) into 0
4.281 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.281 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.281 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.281 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.281 * [taylor]: Taking taylor expansion of -1 in N
4.281 * [backup-simplify]: Simplify -1 into -1
4.282 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.282 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.282 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.282 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.282 * [taylor]: Taking taylor expansion of 1/3 in N
4.283 * [backup-simplify]: Simplify 1/3 into 1/3
4.283 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.283 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.283 * [taylor]: Taking taylor expansion of N in N
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify 1 into 1
4.283 * [backup-simplify]: Simplify (/ 1 1) into 1
4.283 * [backup-simplify]: Simplify (log 1) into 0
4.284 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.284 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.284 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.284 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.284 * [taylor]: Taking taylor expansion of -1 in N
4.284 * [backup-simplify]: Simplify -1 into -1
4.285 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.285 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.286 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.287 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.289 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.290 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.291 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
4.291 * [backup-simplify]: Simplify 0 into 0
4.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.297 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.298 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.299 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.300 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.300 * [backup-simplify]: Simplify 0 into 0
4.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.308 * [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
4.308 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
4.311 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.312 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
4.312 * [backup-simplify]: Simplify 0 into 0
4.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.326 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.327 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.331 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.332 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
4.333 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.356 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.357 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.359 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.363 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.365 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
4.365 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.393 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.393 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.398 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.399 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
4.399 * [backup-simplify]: Simplify 0 into 0
4.400 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
4.400 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1)
4.400 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
4.400 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
4.400 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
4.400 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
4.400 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
4.400 * [taylor]: Taking taylor expansion of 1/3 in N
4.400 * [backup-simplify]: Simplify 1/3 into 1/3
4.400 * [taylor]: Taking taylor expansion of (log N) in N
4.400 * [taylor]: Taking taylor expansion of N in N
4.400 * [backup-simplify]: Simplify 0 into 0
4.400 * [backup-simplify]: Simplify 1 into 1
4.400 * [backup-simplify]: Simplify (log 1) into 0
4.401 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.401 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.401 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.401 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
4.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
4.401 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
4.401 * [taylor]: Taking taylor expansion of 1/3 in N
4.401 * [backup-simplify]: Simplify 1/3 into 1/3
4.401 * [taylor]: Taking taylor expansion of (log N) in N
4.401 * [taylor]: Taking taylor expansion of N in N
4.401 * [backup-simplify]: Simplify 0 into 0
4.401 * [backup-simplify]: Simplify 1 into 1
4.401 * [backup-simplify]: Simplify (log 1) into 0
4.402 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.402 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.402 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.402 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.403 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.403 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
4.404 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.404 * [backup-simplify]: Simplify 0 into 0
4.405 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.406 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.406 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
4.407 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.407 * [backup-simplify]: Simplify 0 into 0
4.410 * [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
4.410 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
4.412 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.412 * [backup-simplify]: Simplify 0 into 0
4.423 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.424 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.426 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
4.430 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.430 * [backup-simplify]: Simplify 0 into 0
4.449 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.449 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.451 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
4.455 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.455 * [backup-simplify]: Simplify 0 into 0
4.488 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.489 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.491 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
4.497 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.497 * [backup-simplify]: Simplify 0 into 0
4.497 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.497 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
4.497 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
4.498 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.498 * [taylor]: Taking taylor expansion of 1/3 in N
4.498 * [backup-simplify]: Simplify 1/3 into 1/3
4.498 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.498 * [taylor]: Taking taylor expansion of N in N
4.498 * [backup-simplify]: Simplify 0 into 0
4.498 * [backup-simplify]: Simplify 1 into 1
4.498 * [backup-simplify]: Simplify (/ 1 1) into 1
4.499 * [backup-simplify]: Simplify (log 1) into 0
4.499 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.499 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.499 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.499 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.499 * [taylor]: Taking taylor expansion of 1/3 in N
4.499 * [backup-simplify]: Simplify 1/3 into 1/3
4.499 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.499 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.500 * [taylor]: Taking taylor expansion of N in N
4.500 * [backup-simplify]: Simplify 0 into 0
4.500 * [backup-simplify]: Simplify 1 into 1
4.500 * [backup-simplify]: Simplify (/ 1 1) into 1
4.500 * [backup-simplify]: Simplify (log 1) into 0
4.501 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.501 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.501 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.501 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
4.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.504 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.504 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.505 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.505 * [backup-simplify]: Simplify 0 into 0
4.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.509 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.509 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.510 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.511 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.511 * [backup-simplify]: Simplify 0 into 0
4.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.514 * [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
4.515 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
4.516 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.516 * [backup-simplify]: Simplify 0 into 0
4.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.528 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.529 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.531 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.531 * [backup-simplify]: Simplify 0 into 0
4.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.542 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.542 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.544 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.546 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.546 * [backup-simplify]: Simplify 0 into 0
4.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.565 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.566 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.567 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.572 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.572 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
4.572 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.572 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
4.572 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.573 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.573 * [taylor]: Taking taylor expansion of 1/3 in N
4.573 * [backup-simplify]: Simplify 1/3 into 1/3
4.573 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.573 * [taylor]: Taking taylor expansion of N in N
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 1 into 1
4.573 * [backup-simplify]: Simplify (/ 1 1) into 1
4.574 * [backup-simplify]: Simplify (log 1) into 0
4.574 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.574 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.574 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.574 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.574 * [taylor]: Taking taylor expansion of -1 in N
4.574 * [backup-simplify]: Simplify -1 into -1
4.575 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.576 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.576 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.576 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.576 * [taylor]: Taking taylor expansion of 1/3 in N
4.576 * [backup-simplify]: Simplify 1/3 into 1/3
4.576 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.576 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.576 * [taylor]: Taking taylor expansion of N in N
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [backup-simplify]: Simplify 1 into 1
4.576 * [backup-simplify]: Simplify (/ 1 1) into 1
4.577 * [backup-simplify]: Simplify (log 1) into 0
4.577 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.577 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.577 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.577 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.578 * [taylor]: Taking taylor expansion of -1 in N
4.578 * [backup-simplify]: Simplify -1 into -1
4.578 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.579 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.579 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.580 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.582 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.583 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.583 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.584 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.585 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
4.585 * [backup-simplify]: Simplify 0 into 0
4.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.592 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.593 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.595 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.596 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.596 * [backup-simplify]: Simplify 0 into 0
4.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.604 * [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
4.604 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
4.609 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.610 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
4.610 * [backup-simplify]: Simplify 0 into 0
4.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.624 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.625 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.627 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.630 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.631 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
4.631 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.651 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.651 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.652 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.654 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.655 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
4.655 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.674 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.675 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.676 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.680 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.681 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
4.681 * [backup-simplify]: Simplify 0 into 0
4.681 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
4.681 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1)
4.681 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
4.681 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
4.681 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
4.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
4.681 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
4.681 * [taylor]: Taking taylor expansion of 1/3 in N
4.681 * [backup-simplify]: Simplify 1/3 into 1/3
4.681 * [taylor]: Taking taylor expansion of (log N) in N
4.681 * [taylor]: Taking taylor expansion of N in N
4.681 * [backup-simplify]: Simplify 0 into 0
4.681 * [backup-simplify]: Simplify 1 into 1
4.682 * [backup-simplify]: Simplify (log 1) into 0
4.682 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.682 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.682 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.682 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
4.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
4.682 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
4.682 * [taylor]: Taking taylor expansion of 1/3 in N
4.682 * [backup-simplify]: Simplify 1/3 into 1/3
4.682 * [taylor]: Taking taylor expansion of (log N) in N
4.682 * [taylor]: Taking taylor expansion of N in N
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 1 into 1
4.682 * [backup-simplify]: Simplify (log 1) into 0
4.683 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.683 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.683 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.683 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.684 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.684 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
4.685 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.685 * [backup-simplify]: Simplify 0 into 0
4.686 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.687 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.687 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
4.688 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.688 * [backup-simplify]: Simplify 0 into 0
4.691 * [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
4.691 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
4.693 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.693 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.699 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.700 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
4.701 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.701 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.711 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.712 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
4.715 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.715 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.739 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.741 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
4.744 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.744 * [backup-simplify]: Simplify 0 into 0
4.744 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.744 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
4.744 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
4.744 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.745 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.745 * [taylor]: Taking taylor expansion of 1/3 in N
4.745 * [backup-simplify]: Simplify 1/3 into 1/3
4.745 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.745 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.745 * [taylor]: Taking taylor expansion of N in N
4.745 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify 1 into 1
4.745 * [backup-simplify]: Simplify (/ 1 1) into 1
4.745 * [backup-simplify]: Simplify (log 1) into 0
4.746 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.746 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.746 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.746 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.746 * [taylor]: Taking taylor expansion of 1/3 in N
4.746 * [backup-simplify]: Simplify 1/3 into 1/3
4.746 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.746 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.746 * [taylor]: Taking taylor expansion of N in N
4.746 * [backup-simplify]: Simplify 0 into 0
4.746 * [backup-simplify]: Simplify 1 into 1
4.746 * [backup-simplify]: Simplify (/ 1 1) into 1
4.747 * [backup-simplify]: Simplify (log 1) into 0
4.747 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.747 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.747 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.747 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
4.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.749 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.749 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.750 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.750 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.754 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.754 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.755 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.755 * [backup-simplify]: Simplify 0 into 0
4.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.759 * [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
4.760 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.761 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
4.763 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.763 * [backup-simplify]: Simplify 0 into 0
4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.770 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.770 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.771 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.773 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.773 * [backup-simplify]: Simplify 0 into 0
4.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.784 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.785 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.786 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.788 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.788 * [backup-simplify]: Simplify 0 into 0
4.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.804 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.805 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.807 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.813 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.813 * [backup-simplify]: Simplify 0 into 0
4.813 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
4.814 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.814 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
4.814 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.814 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.814 * [taylor]: Taking taylor expansion of 1/3 in N
4.814 * [backup-simplify]: Simplify 1/3 into 1/3
4.814 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.814 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.814 * [taylor]: Taking taylor expansion of N in N
4.814 * [backup-simplify]: Simplify 0 into 0
4.814 * [backup-simplify]: Simplify 1 into 1
4.814 * [backup-simplify]: Simplify (/ 1 1) into 1
4.815 * [backup-simplify]: Simplify (log 1) into 0
4.815 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.815 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.815 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.815 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.815 * [taylor]: Taking taylor expansion of -1 in N
4.815 * [backup-simplify]: Simplify -1 into -1
4.816 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.817 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.817 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.817 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.817 * [taylor]: Taking taylor expansion of 1/3 in N
4.817 * [backup-simplify]: Simplify 1/3 into 1/3
4.817 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.817 * [taylor]: Taking taylor expansion of N in N
4.817 * [backup-simplify]: Simplify 0 into 0
4.817 * [backup-simplify]: Simplify 1 into 1
4.817 * [backup-simplify]: Simplify (/ 1 1) into 1
4.818 * [backup-simplify]: Simplify (log 1) into 0
4.818 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.818 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.818 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.819 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.819 * [taylor]: Taking taylor expansion of -1 in N
4.819 * [backup-simplify]: Simplify -1 into -1
4.819 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.820 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.820 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.821 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.824 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.824 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.825 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.826 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
4.826 * [backup-simplify]: Simplify 0 into 0
4.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.831 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.832 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.833 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.834 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.835 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.835 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.849 * [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
4.850 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.851 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
4.853 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.854 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
4.854 * [backup-simplify]: Simplify 0 into 0
4.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.868 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.869 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.873 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.874 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
4.874 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.891 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.892 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.893 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.895 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.896 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
4.896 * [backup-simplify]: Simplify 0 into 0
4.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.915 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.916 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.918 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.921 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.922 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
4.922 * [backup-simplify]: Simplify 0 into 0
4.923 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
4.923 * * * [progress]: simplifying candidates
4.923 * * * * [progress]: [ 1 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3))))>
4.923 * * * * [progress]: [ 2 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.923 * * * * [progress]: [ 3 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))))>
4.923 * * * * [progress]: [ 4 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))))>
4.923 * * * * [progress]: [ 5 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.923 * * * * [progress]: [ 6 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3))))>
4.923 * * * * [progress]: [ 7 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.923 * * * * [progress]: [ 8 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))))>
4.923 * * * * [progress]: [ 9 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))))>
4.923 * * * * [progress]: [ 10 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.923 * * * * [progress]: [ 11 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3))))>
4.923 * * * * [progress]: [ 12 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.923 * * * * [progress]: [ 13 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))))>
4.923 * * * * [progress]: [ 14 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))))>
4.923 * * * * [progress]: [ 15 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.923 * * * * [progress]: [ 16 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (+ (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3))))>
4.923 * * * * [progress]: [ 17 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (+ (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.924 * * * * [progress]: [ 18 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (+ (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))))>
4.924 * * * * [progress]: [ 19 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (+ (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))))>
4.924 * * * * [progress]: [ 20 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (+ (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.924 * * * * [progress]: [ 21 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3))))>
4.924 * * * * [progress]: [ 22 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.924 * * * * [progress]: [ 23 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))))>
4.924 * * * * [progress]: [ 24 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))))>
4.924 * * * * [progress]: [ 25 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.924 * * * * [progress]: [ 26 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3))))>
4.924 * * * * [progress]: [ 27 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.924 * * * * [progress]: [ 28 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))))>
4.924 * * * * [progress]: [ 29 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))))>
4.924 * * * * [progress]: [ 30 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.924 * * * * [progress]: [ 31 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3))))>
4.924 * * * * [progress]: [ 32 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.924 * * * * [progress]: [ 33 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))))>
4.924 * * * * [progress]: [ 34 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))))>
4.924 * * * * [progress]: [ 35 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.924 * * * * [progress]: [ 36 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3))))>
4.924 * * * * [progress]: [ 37 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.924 * * * * [progress]: [ 38 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))))>
4.924 * * * * [progress]: [ 39 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))))>
4.924 * * * * [progress]: [ 40 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.925 * * * * [progress]: [ 41 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3))))>
4.925 * * * * [progress]: [ 42 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.925 * * * * [progress]: [ 43 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))))>
4.925 * * * * [progress]: [ 44 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))))>
4.925 * * * * [progress]: [ 45 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1))))>
4.925 * * * * [progress]: [ 46 / 212 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))))>
4.925 * * * * [progress]: [ 47 / 212 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))))>
4.925 * * * * [progress]: [ 48 / 212 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (log (cbrt N)))))>
4.925 * * * * [progress]: [ 49 / 212 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (log (cbrt N)))))>
4.925 * * * * [progress]: [ 50 / 212 ] simplifiying candidate #<alt (λ (N) (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (cbrt N)))))>
4.925 * * * * [progress]: [ 51 / 212 ] simplifiying candidate #<alt (λ (N) (fma (+ (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (log (cbrt N)))))>
4.925 * * * * [progress]: [ 52 / 212 ] simplifiying candidate #<alt (λ (N) (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (cbrt N)))))>
4.925 * * * * [progress]: [ 53 / 212 ] simplifiying candidate #<alt (λ (N) (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (cbrt N)))))>
4.925 * * * * [progress]: [ 54 / 212 ] simplifiying candidate #<alt (λ (N) (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (cbrt N)))))>
4.925 * * * * [progress]: [ 55 / 212 ] simplifiying candidate #<alt (λ (N) (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (cbrt N)))))>
4.925 * * * * [progress]: [ 56 / 212 ] simplifiying candidate #<alt (λ (N) (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (cbrt N)))))>
4.925 * * * * [progress]: [ 57 / 212 ] simplifiying candidate #<alt (λ (N) (log (/ (/ (+ 1 N) (* (cbrt N) (cbrt N))) (cbrt N))))>
4.925 * * * * [progress]: [ 58 / 212 ] simplifiying candidate #<alt (λ (N) (log (/ (/ (+ 1 N) (exp (+ (log (cbrt N)) (log (cbrt N))))) (cbrt N))))>
4.925 * * * * [progress]: [ 59 / 212 ] simplifiying candidate #<alt (λ (N) (log (/ (/ (exp (log1p N)) (* (cbrt N) (cbrt N))) (cbrt N))))>
4.925 * * * * [progress]: [ 60 / 212 ] simplifiying candidate #<alt (λ (N) (log (/ (/ (exp (log1p N)) (exp (+ (log (cbrt N)) (log (cbrt N))))) (cbrt N))))>
4.925 * * * * [progress]: [ 61 / 212 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt N))))>
4.925 * * * * [progress]: [ 62 / 212 ] simplifiying candidate #<alt (λ (N) (pow (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))) 1))>
4.925 * * * * [progress]: [ 63 / 212 ] simplifiying candidate #<alt (λ (N) (exp (log (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))))>
4.925 * * * * [progress]: [ 64 / 212 ] simplifiying candidate #<alt (λ (N) (log (exp (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))))>
4.925 * * * * [progress]: [ 65 / 212 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))) (cbrt (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))) (cbrt (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))))>
4.925 * * * * [progress]: [ 66 / 212 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))))>
4.926 * * * * [progress]: [ 67 / 212 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))) (sqrt (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))))>
4.926 * * * * [progress]: [ 68 / 212 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) 3) (pow (log (cbrt N)) 3)) (+ (* (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (+ (* (log (cbrt N)) (log (cbrt N))) (* (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))))>
4.926 * * * * [progress]: [ 69 / 212 ] simplifiying candidate #<alt (λ (N) (+ (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (cbrt N)))))>
4.926 * * * * [progress]: [ 70 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 71 / 212 ] simplifiying candidate #<alt (λ (N) (/ (- (* (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (* (log (cbrt N)) (log (cbrt N)))) (+ (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 72 / 212 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (log (cbrt N)))) (- (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (log (cbrt N))))))>
4.926 * * * * [progress]: [ 73 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 74 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 75 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 76 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 77 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 78 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 79 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 80 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 81 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 82 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 83 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 84 / 212 ] simplifiying candidate #<alt (λ (N) (* 1 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.926 * * * * [progress]: [ 85 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt (* (cbrt N) (cbrt N))))) (log (cbrt (cbrt N)))))>
4.926 * * * * [progress]: [ 86 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt (sqrt N)))) (log (cbrt (sqrt N)))))>
4.926 * * * * [progress]: [ 87 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt 1))) (log (cbrt N))))>
4.926 * * * * [progress]: [ 88 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (cbrt (cbrt N)))))>
4.927 * * * * [progress]: [ 89 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (sqrt (cbrt N)))) (log (sqrt (cbrt N)))))>
4.927 * * * * [progress]: [ 90 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log 1)) (log (cbrt N))))>
4.927 * * * * [progress]: [ 91 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (cbrt (+ (log (cbrt N)) (log (cbrt N)))))))) (- (fma (- (cbrt (+ (log (cbrt N)) (log (cbrt N))))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (cbrt (+ (log (cbrt N)) (log (cbrt N))))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (cbrt (+ (log (cbrt N)) (log (cbrt N))))))) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 92 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (+ (log (cbrt N)) (log (cbrt N)))) (sqrt (+ (log (cbrt N)) (log (cbrt N))))))) (- (fma (- (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (+ (log (cbrt N)) (log (cbrt N)))) (* (sqrt (+ (log (cbrt N)) (log (cbrt N)))) (sqrt (+ (log (cbrt N)) (log (cbrt N)))))) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 93 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 94 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ (log N) (log N)) 1/3))) (- (fma (- (+ (log N) (log N))) 1/3 (* (+ (log N) (log N)) 1/3)) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 95 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 96 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 97 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (- (fma (- (+ (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (+ (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 98 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N)))))) (- (fma (- (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))) (sqrt (log (cbrt N))) (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))))) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 99 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 100 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 101 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ 1/3 1/3) (log N)))) (- (fma (- (+ 1/3 1/3)) (log N) (* (+ 1/3 1/3) (log N))) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 102 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 103 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 104 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))) (cbrt (log (cbrt N)))))) (- (fma (- (+ (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))) (cbrt (log (cbrt N))) (* (+ (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))) (cbrt (log (cbrt N))))) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 105 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N)))))) (- (fma (- (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))) (sqrt (log (cbrt N))) (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))))) (log (cbrt N)))))>
4.927 * * * * [progress]: [ 106 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 107 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 108 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 109 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 110 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 111 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 112 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (cbrt (+ (log (cbrt N)) (log (cbrt N)))))))) (- (fma (- (cbrt (+ (log (cbrt N)) (log (cbrt N))))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (cbrt (+ (log (cbrt N)) (log (cbrt N))))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (cbrt (+ (log (cbrt N)) (log (cbrt N))))))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 113 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (+ (log (cbrt N)) (log (cbrt N)))) (sqrt (+ (log (cbrt N)) (log (cbrt N))))))) (- (fma (- (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (+ (log (cbrt N)) (log (cbrt N)))) (* (sqrt (+ (log (cbrt N)) (log (cbrt N)))) (sqrt (+ (log (cbrt N)) (log (cbrt N)))))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 114 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 115 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ (log N) (log N)) 1/3))) (- (fma (- (+ (log N) (log N))) 1/3 (* (+ (log N) (log N)) 1/3)) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 116 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 117 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 118 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (- (fma (- (+ (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (+ (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 119 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N)))))) (- (fma (- (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))) (sqrt (log (cbrt N))) (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 120 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 121 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 122 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ 1/3 1/3) (log N)))) (- (fma (- (+ 1/3 1/3)) (log N) (* (+ 1/3 1/3) (log N))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 123 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 124 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 125 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))) (cbrt (log (cbrt N)))))) (- (fma (- (+ (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))) (cbrt (log (cbrt N))) (* (+ (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))) (cbrt (log (cbrt N))))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 126 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N)))))) (- (fma (- (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))) (sqrt (log (cbrt N))) (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 127 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.928 * * * * [progress]: [ 128 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 129 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 130 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 131 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 132 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 133 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (cbrt (+ (log (cbrt N)) (log (cbrt N)))))))) (- (fma (- (cbrt (+ (log (cbrt N)) (log (cbrt N))))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (cbrt (+ (log (cbrt N)) (log (cbrt N))))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (* (cbrt (+ (log (cbrt N)) (log (cbrt N)))) (cbrt (+ (log (cbrt N)) (log (cbrt N))))))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 134 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (sqrt (+ (log (cbrt N)) (log (cbrt N)))) (sqrt (+ (log (cbrt N)) (log (cbrt N))))))) (- (fma (- (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (+ (log (cbrt N)) (log (cbrt N)))) (* (sqrt (+ (log (cbrt N)) (log (cbrt N)))) (sqrt (+ (log (cbrt N)) (log (cbrt N)))))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 135 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 136 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ (log N) (log N)) 1/3))) (- (fma (- (+ (log N) (log N))) 1/3 (* (+ (log N) (log N)) 1/3)) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 137 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 138 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 139 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (- (fma (- (+ (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (+ (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 140 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N)))))) (- (fma (- (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))) (sqrt (log (cbrt N))) (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 141 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 142 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ (log (cbrt N)) (log (cbrt N))) 1))) (- (fma (- (+ (log (cbrt N)) (log (cbrt N)))) 1 (* (+ (log (cbrt N)) (log (cbrt N))) 1)) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 143 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ 1/3 1/3) (log N)))) (- (fma (- (+ 1/3 1/3)) (log N) (* (+ 1/3 1/3) (log N))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 144 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 145 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 146 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))) (cbrt (log (cbrt N)))))) (- (fma (- (+ (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))) (cbrt (log (cbrt N))) (* (+ (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))) (cbrt (log (cbrt N))))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 147 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N)))))) (- (fma (- (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))) (sqrt (log (cbrt N))) (* (+ (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 148 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 149 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (+ 1 1) (log (cbrt N))))) (- (fma (- (+ 1 1)) (log (cbrt N)) (* (+ 1 1) (log (cbrt N)))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 150 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.929 * * * * [progress]: [ 151 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.930 * * * * [progress]: [ 152 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.930 * * * * [progress]: [ 153 / 212 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (log (cbrt N)) (+ 1 1)))) (- (fma (- (log (cbrt N))) (+ 1 1) (* (log (cbrt N)) (+ 1 1))) (log (cbrt N)))))>
4.930 * * * * [progress]: [ 154 / 212 ] simplifiying candidate #<alt (λ (N) (+ (log1p N) (- (- (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.930 * * * * [progress]: [ 155 / 212 ] simplifiying candidate #<alt (λ (N) (+ (log1p N) (- (- (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N)))))>
4.930 * * * * [progress]: [ 156 / 212 ] simplifiying candidate #<alt (λ (N) (- (log1p N) (+ (+ (log (cbrt N)) (log (cbrt N))) (log (cbrt N)))))>
4.930 * * * * [progress]: [ 157 / 212 ] simplifiying candidate #<alt (λ (N) (+ (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (cbrt N)))))>
4.930 * * * * [progress]: [ 158 / 212 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))))>
4.930 * * * * [progress]: [ 159 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (log1p (expm1 (cbrt N))))))>
4.930 * * * * [progress]: [ 160 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (expm1 (log1p (cbrt N))))))>
4.930 * * * * [progress]: [ 161 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (pow N 1/3))))>
4.930 * * * * [progress]: [ 162 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (pow (cbrt N) 1))))>
4.930 * * * * [progress]: [ 163 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (exp (log (cbrt N))))))>
4.930 * * * * [progress]: [ 164 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (log (exp (cbrt N))))))>
4.930 * * * * [progress]: [ 165 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))>
4.930 * * * * [progress]: [ 166 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (* (cbrt (sqrt N)) (cbrt (sqrt N))))))>
4.930 * * * * [progress]: [ 167 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (* (cbrt 1) (cbrt N)))))>
4.930 * * * * [progress]: [ 168 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N))))))>
4.930 * * * * [progress]: [ 169 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt (* (* (cbrt N) (cbrt N)) (cbrt N))))))>
4.930 * * * * [progress]: [ 170 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (* (sqrt (cbrt N)) (sqrt (cbrt N))))))>
4.930 * * * * [progress]: [ 171 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (* 1 (cbrt N)))))>
4.930 * * * * [progress]: [ 172 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (posit16->real (real->posit16 (cbrt N))))))>
4.930 * * * * [progress]: [ 173 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (log1p (expm1 (cbrt N)))))) (log (cbrt N))))>
4.930 * * * * [progress]: [ 174 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (expm1 (log1p (cbrt N)))))) (log (cbrt N))))>
4.930 * * * * [progress]: [ 175 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (pow N 1/3)))) (log (cbrt N))))>
4.930 * * * * [progress]: [ 176 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (pow (cbrt N) 1)))) (log (cbrt N))))>
4.930 * * * * [progress]: [ 177 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (exp (log (cbrt N)))))) (log (cbrt N))))>
4.930 * * * * [progress]: [ 178 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (log (exp (cbrt N)))))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 179 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 180 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 181 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (* (cbrt 1) (cbrt N))))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 182 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)))))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 183 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt (* (* (cbrt N) (cbrt N)) (cbrt N)))))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 184 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (* (sqrt (cbrt N)) (sqrt (cbrt N)))))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 185 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (* 1 (cbrt N))))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 186 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (posit16->real (real->posit16 (cbrt N)))))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 187 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (log1p (expm1 (cbrt N)))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 188 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (expm1 (log1p (cbrt N)))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 189 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (pow N 1/3)) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 190 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (pow (cbrt N) 1)) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 191 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (exp (log (cbrt N)))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 192 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (log (exp (cbrt N)))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 193 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 194 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 195 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (* (cbrt 1) (cbrt N))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 196 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 197 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt (* (* (cbrt N) (cbrt N)) (cbrt N)))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 198 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (* (sqrt (cbrt N)) (sqrt (cbrt N)))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 199 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (* 1 (cbrt N))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 200 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (posit16->real (real->posit16 (cbrt N)))) (log (cbrt N)))) (log (cbrt N))))>
4.931 * * * * [progress]: [ 201 / 212 ] simplifiying candidate #<alt (λ (N) (- N (+ (* 3 (log (pow N 1/3))) (* 1/2 (pow N 2)))))>
4.931 * * * * [progress]: [ 202 / 212 ] simplifiying candidate #<alt (λ (N) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (+ (log (/ 1 N)) (* 3 (log (pow (/ 1 N) -1/3)))))))>
4.931 * * * * [progress]: [ 203 / 212 ] simplifiying candidate #<alt (λ (N) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (+ (* 3 (log (* (pow (* N -1) 1/3) (cbrt -1)))) (log (/ -1 N))))))>
4.931 * * * * [progress]: [ 204 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (pow N 1/3))))>
4.931 * * * * [progress]: [ 205 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (pow (/ 1 N) -1/3))))>
4.931 * * * * [progress]: [ 206 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (* (pow (* N -1) 1/3) (cbrt -1)))))>
4.932 * * * * [progress]: [ 207 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (pow N 1/3)))) (log (cbrt N))))>
4.932 * * * * [progress]: [ 208 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (pow (/ 1 N) -1/3)))) (log (cbrt N))))>
4.932 * * * * [progress]: [ 209 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (* (pow (* N -1) 1/3) (cbrt -1))))) (log (cbrt N))))>
4.932 * * * * [progress]: [ 210 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (pow N 1/3)) (log (cbrt N)))) (log (cbrt N))))>
4.932 * * * * [progress]: [ 211 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (pow (/ 1 N) -1/3)) (log (cbrt N)))) (log (cbrt N))))>
4.932 * * * * [progress]: [ 212 / 212 ] simplifiying candidate #<alt (λ (N) (- (- (log1p N) (+ (log (* (pow (* N -1) 1/3) (cbrt -1))) (log (cbrt N)))) (log (cbrt N))))>
4.934 * [simplify]: Simplifying (fma (* (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log N) 1/3))), (fma (- (log N)) 1/3 (* (log N) 1/3)), (fma (* (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))), (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)), (fma (* (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))), (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))), (fma (* (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))), (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))), (fma (* (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))))) (cbrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))), (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)), (fma (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log N) 1/3))), (fma (- (log N)) 1/3 (* (log N) 1/3)), (fma (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))), (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)), (fma (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))), (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))), (fma (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))), (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))), (fma (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (sqrt (- (log1p N) (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))), (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)), (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log N) 1/3))), (fma (- (log N)) 1/3 (* (log N) 1/3)), (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))), (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)), (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))), (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))), (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))), (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))), (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log (cbrt N)) 1))), (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)), (fma (+ (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log N) 1/3))), (fma (- (log N)) 1/3 (* (log N) 1/3)), (fma (+ (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))), (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)), (fma (+ (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))), (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))), (fma (+ (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))), (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))), (fma (+ (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (sqrt (log1p N)) (sqrt (+ (log (cbrt N)) (log (cbrt N))))) (- (* (log (cbrt N)) 1))), (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)), (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* (log N) 1/3))), (fma (- (log N)) 1/3 (* (log N) 1/3)), (fma 1 (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (- (* 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4.937 * * [simplify]: iteration 1: (196 enodes)
5.044 * * [simplify]: iteration 2: (824 enodes)
5.317 * * [simplify]: iteration 3: (1574 enodes)
7.100 * * [simplify]: Extracting #0: cost 46 inf + 0
7.102 * * [simplify]: Extracting #1: cost 502 inf + 185
7.109 * * [simplify]: Extracting #2: cost 1164 inf + 16941
7.141 * * [simplify]: Extracting #3: cost 636 inf + 165192
7.227 * * [simplify]: Extracting #4: cost 231 inf + 286850
7.340 * * [simplify]: Extracting #5: cost 55 inf + 350290
7.454 * * [simplify]: Extracting #6: cost 3 inf + 376226
7.554 * * [simplify]: Extracting #7: cost 0 inf + 377873
7.648 * [simplify]: Simplified to (fma (cbrt (- (log1p N) (* 2/3 (log N)))) (* (cbrt (- (log1p N) (* 2/3 (log N)))) (cbrt (- (log1p N) (* 2/3 (log N))))) (* -1/3 (log N))), 0, (fma (cbrt (- (log1p N) (* 2/3 (log N)))) (* (cbrt (- (log1p N) (* 2/3 (log N)))) (cbrt (- (log1p N) (* 2/3 (log N))))) (* -1/3 (log N))), 0, (fma (cbrt (- (log1p N) (* 2/3 (log N)))) (* (cbrt (- (log1p N) (* 2/3 (log N)))) (cbrt (- (log1p N) (* 2/3 (log N))))) (* -1/3 (log N))), 0, (fma (cbrt (- (log1p N) (* 2/3 (log N)))) (* (cbrt (- (log1p N) (* 2/3 (log N)))) (cbrt (- (log1p N) (* 2/3 (log N))))) (* -1/3 (log N))), 0, (fma (cbrt (- (log1p N) (* 2/3 (log N)))) (* (cbrt (- (log1p N) (* 2/3 (log N)))) (cbrt (- (log1p N) (* 2/3 (log N))))) (* -1/3 (log N))), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (fma (- (sqrt (log1p N)) (sqrt (* 2/3 (log N)))) (+ (sqrt (* 2/3 (log N))) (sqrt (log1p N))) (* -1/3 (log N))), 0, (fma (- (sqrt (log1p N)) (sqrt (* 2/3 (log N)))) (+ (sqrt (* 2/3 (log N))) (sqrt (log1p N))) (* -1/3 (log N))), 0, (fma (- (sqrt (log1p N)) (sqrt (* 2/3 (log N)))) (+ (sqrt (* 2/3 (log N))) (sqrt (log1p N))) (* -1/3 (log N))), 0, (fma (- (sqrt (log1p N)) (sqrt (* 2/3 (log N)))) (+ (sqrt (* 2/3 (log N))) (sqrt (log1p N))) (* -1/3 (log N))), 0, (fma (- (sqrt (log1p N)) (sqrt (* 2/3 (log N)))) (+ (sqrt (* 2/3 (log N))) (sqrt (log1p N))) (* -1/3 (log N))), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (- (log1p N) (log N)), 0, (expm1 (- (log1p N) (log N))), (log1p (- (log1p N) (log N))), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (/ (+ 1 N) N), (/ (+ 1 N) N), (/ (exp (log1p N)) N), (/ (exp (log1p 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) (* 2/3 (log N))) (- (log1p N) (* 2/3 (log N)))) (- (log1p N) (* 2/3 (log N)))) (* (* (* (log N) (log N)) (log N)) 1/27)), (fma (* 1/3 (log N)) (- (log1p N) (* 1/3 (log N))) (* (- (log1p N) (* 2/3 (log N))) (- (log1p N) (* 2/3 (log N))))), (* -1/3 (log N)), (* (- (log1p N) (log N)) (- (log1p N) (* 1/3 (log N)))), (- (log1p N) (* 1/3 (log N))), (+ (sqrt (* 1/3 (log N))) (sqrt (- (log1p N) (* 2/3 (log N))))), (- (sqrt (- (log1p N) (* 2/3 (log N)))) (sqrt (* 1/3 (log N)))), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (log N)), (- (log1p N) (fma (log N) 2/3 (log (cbrt (* (cbrt N) (cbrt N)))))), (- (log1p N) (fma 2/3 (log N) (log (cbrt (sqrt N))))), (- (log1p N) (* 2/3 (log N))), (- (log1p N) (fma (log N) 2/3 (+ (log (cbrt (cbrt N))) (log (cbrt (cbrt N)))))), (- (log1p N) (fma (log N) 2/3 (log (sqrt (cbrt N))))), (- (log1p N) (* 2/3 (log N))), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (* -1/3 (log N)), (- (log N)), (- (log N)), (log N), (* -1/3 (log N)), (real->posit16 (- (log1p N) (log N))), (expm1 (cbrt N)), (log1p (cbrt N)), (* 1/3 (log N)), (exp (cbrt N)), (cbrt (* (cbrt N) (cbrt N))), (cbrt (cbrt N)), (cbrt (sqrt N)), (cbrt (sqrt N)), 1, (cbrt N), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (cbrt (cbrt N)), N, (sqrt (cbrt N)), (sqrt (cbrt N)), (real->posit16 (cbrt N)), (expm1 (cbrt N)), (log1p (cbrt N)), (* 1/3 (log N)), (exp (cbrt N)), (cbrt (* (cbrt N) (cbrt N))), (cbrt (cbrt N)), (cbrt (sqrt N)), (cbrt (sqrt N)), 1, (cbrt N), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (cbrt (cbrt N)), N, (sqrt (cbrt N)), (sqrt (cbrt N)), (real->posit16 (cbrt N)), (expm1 (cbrt N)), (log1p (cbrt N)), (* 1/3 (log N)), (exp (cbrt N)), (cbrt (* (cbrt N) (cbrt N))), (cbrt (cbrt N)), (cbrt (sqrt N)), (cbrt (sqrt N)), 1, (cbrt N), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (cbrt (cbrt N)), N, (sqrt (cbrt N)), (sqrt (cbrt N)), (real->posit16 (cbrt N)), (- N (fma (* 1/2 N) N (log N))), (+ (- (/ 1 N) (- (log N) (log N))) (/ -1/2 (* N N))), (- (+ (log -1) (/ -1/2 (* N N))) (- (fma (log (* (cbrt (- N)) (cbrt -1))) 3 (log (/ -1 N))) (/ 1 N))), (cbrt N), (pow (/ 1 N) -1/3), (* (cbrt (- N)) (cbrt -1)), (cbrt N), (pow (/ 1 N) -1/3), (* (cbrt (- N)) (cbrt -1)), (cbrt N), (pow (/ 1 N) -1/3), (* (cbrt (- N)) (cbrt -1))
7.674 * * * [progress]: adding candidates to table
9.417 * * [progress]: iteration 4 / 4
9.417 * * * [progress]: picking best candidate
9.421 * * * * [pick]: Picked  #<alt (λ (N) (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))>
9.421 * * * [progress]: localizing error
9.441 * * * [progress]: generating rewritten candidates
9.441 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
9.464 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
9.470 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
9.480 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
9.481 * * * [progress]: generating series expansions
9.481 * * * * [progress]: [ 1 / 4 ] generating series at (2)
9.482 * [backup-simplify]: Simplify (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) into (- (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
9.482 * [approximate]: Taking taylor expansion of (- (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0
9.482 * [taylor]: Taking taylor expansion of (- (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N
9.482 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N
9.482 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N))
9.482 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N
9.482 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
9.482 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.482 * [taylor]: Taking taylor expansion of N in N
9.482 * [backup-simplify]: Simplify 0 into 0
9.482 * [backup-simplify]: Simplify 1 into 1
9.483 * [backup-simplify]: Simplify (* 1 1) into 1
9.483 * [backup-simplify]: Simplify (* 1 1) into 1
9.483 * [backup-simplify]: Simplify (/ 1 1) into 1
9.483 * [taylor]: Taking taylor expansion of 1/3 in N
9.483 * [backup-simplify]: Simplify 1/3 into 1/3
9.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N
9.483 * [taylor]: Taking taylor expansion of N in N
9.483 * [backup-simplify]: Simplify 0 into 0
9.483 * [backup-simplify]: Simplify 1 into 1
9.484 * [backup-simplify]: Simplify (/ 1 1) into 1
9.484 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N
9.484 * [taylor]: Taking taylor expansion of 1/2 in N
9.484 * [backup-simplify]: Simplify 1/2 into 1/2
9.484 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
9.484 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.484 * [taylor]: Taking taylor expansion of N in N
9.484 * [backup-simplify]: Simplify 0 into 0
9.484 * [backup-simplify]: Simplify 1 into 1
9.484 * [backup-simplify]: Simplify (* 1 1) into 1
9.484 * [backup-simplify]: Simplify (/ 1 1) into 1
9.484 * [taylor]: Taking taylor expansion of (- (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N
9.485 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N
9.485 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N))
9.485 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N
9.485 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
9.485 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.485 * [taylor]: Taking taylor expansion of N in N
9.485 * [backup-simplify]: Simplify 0 into 0
9.485 * [backup-simplify]: Simplify 1 into 1
9.485 * [backup-simplify]: Simplify (* 1 1) into 1
9.486 * [backup-simplify]: Simplify (* 1 1) into 1
9.486 * [backup-simplify]: Simplify (/ 1 1) into 1
9.486 * [taylor]: Taking taylor expansion of 1/3 in N
9.486 * [backup-simplify]: Simplify 1/3 into 1/3
9.486 * [taylor]: Taking taylor expansion of (/ 1 N) in N
9.486 * [taylor]: Taking taylor expansion of N in N
9.486 * [backup-simplify]: Simplify 0 into 0
9.486 * [backup-simplify]: Simplify 1 into 1
9.486 * [backup-simplify]: Simplify (/ 1 1) into 1
9.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N
9.486 * [taylor]: Taking taylor expansion of 1/2 in N
9.487 * [backup-simplify]: Simplify 1/2 into 1/2
9.487 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
9.487 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.487 * [taylor]: Taking taylor expansion of N in N
9.487 * [backup-simplify]: Simplify 0 into 0
9.487 * [backup-simplify]: Simplify 1 into 1
9.487 * [backup-simplify]: Simplify (* 1 1) into 1
9.487 * [backup-simplify]: Simplify (/ 1 1) into 1
9.488 * [backup-simplify]: Simplify (* 1 1/3) into 1/3
9.488 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
9.489 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
9.489 * [backup-simplify]: Simplify 1/3 into 1/3
9.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0
9.492 * [backup-simplify]: Simplify (+ 0 0) into 0
9.492 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.493 * [backup-simplify]: Simplify (- 1/2) into -1/2
9.493 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
9.493 * [backup-simplify]: Simplify -1/2 into -1/2
9.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0
9.500 * [backup-simplify]: Simplify (+ 0 1) into 1
9.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.502 * [backup-simplify]: Simplify (- 0) into 0
9.503 * [backup-simplify]: Simplify (+ 1 0) into 1
9.503 * [backup-simplify]: Simplify 1 into 1
9.503 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))
9.503 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N)))) into (- (fma (pow N 3) 1/3 N) (* 1/2 (pow N 2)))
9.503 * [approximate]: Taking taylor expansion of (- (fma (pow N 3) 1/3 N) (* 1/2 (pow N 2))) in (N) around 0
9.503 * [taylor]: Taking taylor expansion of (- (fma (pow N 3) 1/3 N) (* 1/2 (pow N 2))) in N
9.503 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N
9.503 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N)
9.503 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N
9.503 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.503 * [taylor]: Taking taylor expansion of N in N
9.503 * [backup-simplify]: Simplify 0 into 0
9.504 * [backup-simplify]: Simplify 1 into 1
9.504 * [taylor]: Taking taylor expansion of 1/3 in N
9.504 * [backup-simplify]: Simplify 1/3 into 1/3
9.504 * [taylor]: Taking taylor expansion of N in N
9.504 * [backup-simplify]: Simplify 0 into 0
9.504 * [backup-simplify]: Simplify 1 into 1
9.504 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
9.504 * [taylor]: Taking taylor expansion of 1/2 in N
9.504 * [backup-simplify]: Simplify 1/2 into 1/2
9.504 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.504 * [taylor]: Taking taylor expansion of N in N
9.504 * [backup-simplify]: Simplify 0 into 0
9.504 * [backup-simplify]: Simplify 1 into 1
9.504 * [taylor]: Taking taylor expansion of (- (fma (pow N 3) 1/3 N) (* 1/2 (pow N 2))) in N
9.504 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N
9.504 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N)
9.504 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N
9.504 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.504 * [taylor]: Taking taylor expansion of N in N
9.504 * [backup-simplify]: Simplify 0 into 0
9.504 * [backup-simplify]: Simplify 1 into 1
9.504 * [taylor]: Taking taylor expansion of 1/3 in N
9.504 * [backup-simplify]: Simplify 1/3 into 1/3
9.504 * [taylor]: Taking taylor expansion of N in N
9.504 * [backup-simplify]: Simplify 0 into 0
9.504 * [backup-simplify]: Simplify 1 into 1
9.504 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
9.504 * [taylor]: Taking taylor expansion of 1/2 in N
9.504 * [backup-simplify]: Simplify 1/2 into 1/2
9.504 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.504 * [taylor]: Taking taylor expansion of N in N
9.504 * [backup-simplify]: Simplify 0 into 0
9.504 * [backup-simplify]: Simplify 1 into 1
9.504 * [backup-simplify]: Simplify (+ 0 0) into 0
9.505 * [backup-simplify]: Simplify (+ 0 0) into 0
9.505 * [backup-simplify]: Simplify 0 into 0
9.505 * [backup-simplify]: Simplify (+ 0 1) into 1
9.505 * [backup-simplify]: Simplify (+ 1 0) into 1
9.505 * [backup-simplify]: Simplify 1 into 1
9.506 * [backup-simplify]: Simplify (+ 0 0) into 0
9.506 * [backup-simplify]: Simplify (* 1 1) into 1
9.506 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.506 * [backup-simplify]: Simplify (- 1/2) into -1/2
9.507 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
9.507 * [backup-simplify]: Simplify -1/2 into -1/2
9.507 * [backup-simplify]: Simplify (* 1 1) into 1
9.507 * [backup-simplify]: Simplify (* 1 1) into 1
9.508 * [backup-simplify]: Simplify (* 1 1/3) into 1/3
9.508 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
9.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.509 * [backup-simplify]: Simplify (- 0) into 0
9.509 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
9.509 * [backup-simplify]: Simplify 1/3 into 1/3
9.509 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
9.510 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N))))) into (- (fma (* -1 (pow N 3)) 1/3 (* -1 N)) (* 1/2 (pow N 2)))
9.510 * [approximate]: Taking taylor expansion of (- (fma (* -1 (pow N 3)) 1/3 (* -1 N)) (* 1/2 (pow N 2))) in (N) around 0
9.510 * [taylor]: Taking taylor expansion of (- (fma (* -1 (pow N 3)) 1/3 (* -1 N)) (* 1/2 (pow N 2))) in N
9.510 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N
9.510 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N))
9.510 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N
9.510 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N
9.510 * [taylor]: Taking taylor expansion of -1 in N
9.510 * [backup-simplify]: Simplify -1 into -1
9.510 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.510 * [taylor]: Taking taylor expansion of N in N
9.510 * [backup-simplify]: Simplify 0 into 0
9.510 * [backup-simplify]: Simplify 1 into 1
9.510 * [taylor]: Taking taylor expansion of 1/3 in N
9.510 * [backup-simplify]: Simplify 1/3 into 1/3
9.510 * [taylor]: Taking taylor expansion of (* -1 N) in N
9.510 * [taylor]: Taking taylor expansion of -1 in N
9.510 * [backup-simplify]: Simplify -1 into -1
9.510 * [taylor]: Taking taylor expansion of N in N
9.510 * [backup-simplify]: Simplify 0 into 0
9.510 * [backup-simplify]: Simplify 1 into 1
9.510 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
9.510 * [taylor]: Taking taylor expansion of 1/2 in N
9.510 * [backup-simplify]: Simplify 1/2 into 1/2
9.510 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.510 * [taylor]: Taking taylor expansion of N in N
9.510 * [backup-simplify]: Simplify 0 into 0
9.510 * [backup-simplify]: Simplify 1 into 1
9.510 * [taylor]: Taking taylor expansion of (- (fma (* -1 (pow N 3)) 1/3 (* -1 N)) (* 1/2 (pow N 2))) in N
9.510 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N
9.510 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N))
9.510 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N
9.510 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N
9.510 * [taylor]: Taking taylor expansion of -1 in N
9.510 * [backup-simplify]: Simplify -1 into -1
9.510 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.510 * [taylor]: Taking taylor expansion of N in N
9.510 * [backup-simplify]: Simplify 0 into 0
9.510 * [backup-simplify]: Simplify 1 into 1
9.510 * [taylor]: Taking taylor expansion of 1/3 in N
9.510 * [backup-simplify]: Simplify 1/3 into 1/3
9.510 * [taylor]: Taking taylor expansion of (* -1 N) in N
9.510 * [taylor]: Taking taylor expansion of -1 in N
9.510 * [backup-simplify]: Simplify -1 into -1
9.510 * [taylor]: Taking taylor expansion of N in N
9.510 * [backup-simplify]: Simplify 0 into 0
9.510 * [backup-simplify]: Simplify 1 into 1
9.510 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N
9.510 * [taylor]: Taking taylor expansion of 1/2 in N
9.510 * [backup-simplify]: Simplify 1/2 into 1/2
9.510 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.510 * [taylor]: Taking taylor expansion of N in N
9.511 * [backup-simplify]: Simplify 0 into 0
9.511 * [backup-simplify]: Simplify 1 into 1
9.511 * [backup-simplify]: Simplify (* -1 0) into 0
9.511 * [backup-simplify]: Simplify (+ 0 0) into 0
9.511 * [backup-simplify]: Simplify (+ 0 0) into 0
9.511 * [backup-simplify]: Simplify 0 into 0
9.512 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
9.512 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.512 * [backup-simplify]: Simplify (+ -1 0) into -1
9.512 * [backup-simplify]: Simplify -1 into -1
9.513 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
9.513 * [backup-simplify]: Simplify (+ 0 0) into 0
9.513 * [backup-simplify]: Simplify (* 1 1) into 1
9.514 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.514 * [backup-simplify]: Simplify (- 1/2) into -1/2
9.514 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
9.514 * [backup-simplify]: Simplify -1/2 into -1/2
9.515 * [backup-simplify]: Simplify (* 1 1) into 1
9.515 * [backup-simplify]: Simplify (* 1 1) into 1
9.515 * [backup-simplify]: Simplify (* -1 1) into -1
9.515 * [backup-simplify]: Simplify (* -1 1/3) into -1/3
9.517 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
9.518 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3
9.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.519 * [backup-simplify]: Simplify (- 0) into 0
9.519 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3
9.519 * [backup-simplify]: Simplify -1/3 into -1/3
9.520 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
9.520 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
9.520 * [backup-simplify]: Simplify (/ -1/2 (* N N)) into (/ -1/2 (pow N 2))
9.520 * [approximate]: Taking taylor expansion of (/ -1/2 (pow N 2)) in (N) around 0
9.520 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N
9.520 * [taylor]: Taking taylor expansion of -1/2 in N
9.520 * [backup-simplify]: Simplify -1/2 into -1/2
9.520 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.520 * [taylor]: Taking taylor expansion of N in N
9.520 * [backup-simplify]: Simplify 0 into 0
9.520 * [backup-simplify]: Simplify 1 into 1
9.520 * [backup-simplify]: Simplify (* 1 1) into 1
9.521 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.521 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N
9.521 * [taylor]: Taking taylor expansion of -1/2 in N
9.521 * [backup-simplify]: Simplify -1/2 into -1/2
9.521 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.521 * [taylor]: Taking taylor expansion of N in N
9.521 * [backup-simplify]: Simplify 0 into 0
9.521 * [backup-simplify]: Simplify 1 into 1
9.521 * [backup-simplify]: Simplify (* 1 1) into 1
9.522 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.522 * [backup-simplify]: Simplify -1/2 into -1/2
9.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
9.524 * [backup-simplify]: Simplify 0 into 0
9.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.526 * [backup-simplify]: Simplify 0 into 0
9.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.528 * [backup-simplify]: Simplify 0 into 0
9.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.531 * [backup-simplify]: Simplify 0 into 0
9.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.533 * [backup-simplify]: Simplify 0 into 0
9.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.536 * [backup-simplify]: Simplify 0 into 0
9.536 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2))
9.536 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 N) (/ 1 N))) into (* -1/2 (pow N 2))
9.536 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0
9.536 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N
9.536 * [taylor]: Taking taylor expansion of -1/2 in N
9.536 * [backup-simplify]: Simplify -1/2 into -1/2
9.536 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.536 * [taylor]: Taking taylor expansion of N in N
9.537 * [backup-simplify]: Simplify 0 into 0
9.537 * [backup-simplify]: Simplify 1 into 1
9.537 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N
9.537 * [taylor]: Taking taylor expansion of -1/2 in N
9.537 * [backup-simplify]: Simplify -1/2 into -1/2
9.537 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.537 * [taylor]: Taking taylor expansion of N in N
9.537 * [backup-simplify]: Simplify 0 into 0
9.537 * [backup-simplify]: Simplify 1 into 1
9.537 * [backup-simplify]: Simplify (* 1 1) into 1
9.538 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
9.538 * [backup-simplify]: Simplify -1/2 into -1/2
9.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.539 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0
9.539 * [backup-simplify]: Simplify 0 into 0
9.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.541 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.541 * [backup-simplify]: Simplify 0 into 0
9.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.543 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.543 * [backup-simplify]: Simplify 0 into 0
9.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.546 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.546 * [backup-simplify]: Simplify 0 into 0
9.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.549 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.549 * [backup-simplify]: Simplify 0 into 0
9.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.552 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.552 * [backup-simplify]: Simplify 0 into 0
9.552 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2))
9.552 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/2 (pow N 2))
9.552 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0
9.552 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N
9.552 * [taylor]: Taking taylor expansion of -1/2 in N
9.552 * [backup-simplify]: Simplify -1/2 into -1/2
9.552 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.552 * [taylor]: Taking taylor expansion of N in N
9.552 * [backup-simplify]: Simplify 0 into 0
9.552 * [backup-simplify]: Simplify 1 into 1
9.552 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N
9.552 * [taylor]: Taking taylor expansion of -1/2 in N
9.552 * [backup-simplify]: Simplify -1/2 into -1/2
9.552 * [taylor]: Taking taylor expansion of (pow N 2) in N
9.552 * [taylor]: Taking taylor expansion of N in N
9.552 * [backup-simplify]: Simplify 0 into 0
9.552 * [backup-simplify]: Simplify 1 into 1
9.553 * [backup-simplify]: Simplify (* 1 1) into 1
9.553 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
9.553 * [backup-simplify]: Simplify -1/2 into -1/2
9.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.554 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0
9.554 * [backup-simplify]: Simplify 0 into 0
9.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.556 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.556 * [backup-simplify]: Simplify 0 into 0
9.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.558 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.558 * [backup-simplify]: Simplify 0 into 0
9.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.560 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.561 * [backup-simplify]: Simplify 0 into 0
9.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.563 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.563 * [backup-simplify]: Simplify 0 into 0
9.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.566 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.566 * [backup-simplify]: Simplify 0 into 0
9.566 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 (- N)) 2)) into (/ -1/2 (pow N 2))
9.566 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
9.566 * [backup-simplify]: Simplify (/ (/ 1 N) (* N N)) into (/ 1 (pow N 3))
9.566 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0
9.566 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
9.566 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.566 * [taylor]: Taking taylor expansion of N in N
9.566 * [backup-simplify]: Simplify 0 into 0
9.566 * [backup-simplify]: Simplify 1 into 1
9.567 * [backup-simplify]: Simplify (* 1 1) into 1
9.567 * [backup-simplify]: Simplify (* 1 1) into 1
9.568 * [backup-simplify]: Simplify (/ 1 1) into 1
9.568 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
9.568 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.568 * [taylor]: Taking taylor expansion of N in N
9.568 * [backup-simplify]: Simplify 0 into 0
9.568 * [backup-simplify]: Simplify 1 into 1
9.568 * [backup-simplify]: Simplify (* 1 1) into 1
9.568 * [backup-simplify]: Simplify (* 1 1) into 1
9.569 * [backup-simplify]: Simplify (/ 1 1) into 1
9.569 * [backup-simplify]: Simplify 1 into 1
9.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.571 * [backup-simplify]: Simplify 0 into 0
9.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.573 * [backup-simplify]: Simplify 0 into 0
9.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.576 * [backup-simplify]: Simplify 0 into 0
9.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.579 * [backup-simplify]: Simplify 0 into 0
9.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.582 * [backup-simplify]: Simplify 0 into 0
9.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.586 * [backup-simplify]: Simplify 0 into 0
9.586 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 3)) into (/ 1 (pow N 3))
9.586 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (pow N 3)
9.586 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0
9.586 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.586 * [taylor]: Taking taylor expansion of N in N
9.587 * [backup-simplify]: Simplify 0 into 0
9.587 * [backup-simplify]: Simplify 1 into 1
9.587 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.587 * [taylor]: Taking taylor expansion of N in N
9.587 * [backup-simplify]: Simplify 0 into 0
9.587 * [backup-simplify]: Simplify 1 into 1
9.587 * [backup-simplify]: Simplify (* 1 1) into 1
9.588 * [backup-simplify]: Simplify (* 1 1) into 1
9.588 * [backup-simplify]: Simplify 1 into 1
9.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.589 * [backup-simplify]: Simplify 0 into 0
9.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.591 * [backup-simplify]: Simplify 0 into 0
9.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.593 * [backup-simplify]: Simplify 0 into 0
9.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.596 * [backup-simplify]: Simplify 0 into 0
9.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.598 * [backup-simplify]: Simplify 0 into 0
9.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.600 * [backup-simplify]: Simplify 0 into 0
9.600 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 3)) into (/ 1 (pow N 3))
9.600 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1 (pow N 3))
9.600 * [approximate]: Taking taylor expansion of (* -1 (pow N 3)) in (N) around 0
9.600 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N
9.601 * [taylor]: Taking taylor expansion of -1 in N
9.601 * [backup-simplify]: Simplify -1 into -1
9.601 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.601 * [taylor]: Taking taylor expansion of N in N
9.601 * [backup-simplify]: Simplify 0 into 0
9.601 * [backup-simplify]: Simplify 1 into 1
9.601 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N
9.601 * [taylor]: Taking taylor expansion of -1 in N
9.601 * [backup-simplify]: Simplify -1 into -1
9.601 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.601 * [taylor]: Taking taylor expansion of N in N
9.601 * [backup-simplify]: Simplify 0 into 0
9.601 * [backup-simplify]: Simplify 1 into 1
9.601 * [backup-simplify]: Simplify (* 1 1) into 1
9.601 * [backup-simplify]: Simplify (* 1 1) into 1
9.602 * [backup-simplify]: Simplify (* -1 1) into -1
9.602 * [backup-simplify]: Simplify -1 into -1
9.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.603 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0
9.603 * [backup-simplify]: Simplify 0 into 0
9.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.604 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0
9.604 * [backup-simplify]: Simplify 0 into 0
9.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.606 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.606 * [backup-simplify]: Simplify 0 into 0
9.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.608 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.608 * [backup-simplify]: Simplify 0 into 0
9.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.611 * [backup-simplify]: Simplify 0 into 0
9.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.614 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.614 * [backup-simplify]: Simplify 0 into 0
9.614 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (- N)) 3)) into (/ 1 (pow N 3))
9.614 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
9.614 * [backup-simplify]: Simplify (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) into (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))
9.614 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in (N) around 0
9.614 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N
9.614 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N))
9.614 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N
9.614 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
9.614 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.614 * [taylor]: Taking taylor expansion of N in N
9.614 * [backup-simplify]: Simplify 0 into 0
9.614 * [backup-simplify]: Simplify 1 into 1
9.615 * [backup-simplify]: Simplify (* 1 1) into 1
9.615 * [backup-simplify]: Simplify (* 1 1) into 1
9.615 * [backup-simplify]: Simplify (/ 1 1) into 1
9.615 * [taylor]: Taking taylor expansion of 1/3 in N
9.615 * [backup-simplify]: Simplify 1/3 into 1/3
9.615 * [taylor]: Taking taylor expansion of (/ 1 N) in N
9.615 * [taylor]: Taking taylor expansion of N in N
9.615 * [backup-simplify]: Simplify 0 into 0
9.615 * [backup-simplify]: Simplify 1 into 1
9.616 * [backup-simplify]: Simplify (/ 1 1) into 1
9.616 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 3)) 1/3 (/ 1 N)) in N
9.616 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 3)) 1/3) (/ 1 N))
9.616 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 3)) 1/3) in N
9.616 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
9.616 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.616 * [taylor]: Taking taylor expansion of N in N
9.616 * [backup-simplify]: Simplify 0 into 0
9.616 * [backup-simplify]: Simplify 1 into 1
9.616 * [backup-simplify]: Simplify (* 1 1) into 1
9.616 * [backup-simplify]: Simplify (* 1 1) into 1
9.616 * [backup-simplify]: Simplify (/ 1 1) into 1
9.616 * [taylor]: Taking taylor expansion of 1/3 in N
9.616 * [backup-simplify]: Simplify 1/3 into 1/3
9.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N
9.616 * [taylor]: Taking taylor expansion of N in N
9.617 * [backup-simplify]: Simplify 0 into 0
9.617 * [backup-simplify]: Simplify 1 into 1
9.617 * [backup-simplify]: Simplify (/ 1 1) into 1
9.617 * [backup-simplify]: Simplify (* 1 1/3) into 1/3
9.617 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
9.617 * [backup-simplify]: Simplify 1/3 into 1/3
9.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0
9.623 * [backup-simplify]: Simplify (+ 0 0) into 0
9.624 * [backup-simplify]: Simplify 0 into 0
9.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0
9.626 * [backup-simplify]: Simplify (+ 0 1) into 1
9.626 * [backup-simplify]: Simplify 1 into 1
9.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) into 0
9.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.630 * [backup-simplify]: Simplify (+ 0 0) into 0
9.630 * [backup-simplify]: Simplify 0 into 0
9.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))) into 0
9.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.636 * [backup-simplify]: Simplify (+ 0 0) into 0
9.636 * [backup-simplify]: Simplify 0 into 0
9.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))) into 0
9.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.643 * [backup-simplify]: Simplify (+ 0 0) into 0
9.643 * [backup-simplify]: Simplify 0 into 0
9.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))))) into 0
9.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.650 * [backup-simplify]: Simplify (+ 0 0) into 0
9.650 * [backup-simplify]: Simplify 0 into 0
9.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
9.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
9.655 * [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
9.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))))) into 0
9.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.658 * [backup-simplify]: Simplify (+ 0 0) into 0
9.658 * [backup-simplify]: Simplify 0 into 0
9.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
9.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
9.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))))))) into 0
9.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.667 * [backup-simplify]: Simplify (+ 0 0) into 0
9.667 * [backup-simplify]: Simplify 0 into 0
9.667 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (* 1/3 (pow (/ 1 N) 3))) into (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))
9.667 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 (/ 1 N))) into (fma (pow N 3) 1/3 N)
9.668 * [approximate]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in (N) around 0
9.668 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N
9.668 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N)
9.668 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N
9.668 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.668 * [taylor]: Taking taylor expansion of N in N
9.668 * [backup-simplify]: Simplify 0 into 0
9.668 * [backup-simplify]: Simplify 1 into 1
9.668 * [taylor]: Taking taylor expansion of 1/3 in N
9.668 * [backup-simplify]: Simplify 1/3 into 1/3
9.668 * [taylor]: Taking taylor expansion of N in N
9.668 * [backup-simplify]: Simplify 0 into 0
9.668 * [backup-simplify]: Simplify 1 into 1
9.668 * [taylor]: Taking taylor expansion of (fma (pow N 3) 1/3 N) in N
9.668 * [taylor]: Rewrote expression to (+ (* (pow N 3) 1/3) N)
9.668 * [taylor]: Taking taylor expansion of (* (pow N 3) 1/3) in N
9.668 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.668 * [taylor]: Taking taylor expansion of N in N
9.668 * [backup-simplify]: Simplify 0 into 0
9.668 * [backup-simplify]: Simplify 1 into 1
9.668 * [taylor]: Taking taylor expansion of 1/3 in N
9.668 * [backup-simplify]: Simplify 1/3 into 1/3
9.668 * [taylor]: Taking taylor expansion of N in N
9.668 * [backup-simplify]: Simplify 0 into 0
9.668 * [backup-simplify]: Simplify 1 into 1
9.669 * [backup-simplify]: Simplify (+ 0 0) into 0
9.669 * [backup-simplify]: Simplify 0 into 0
9.670 * [backup-simplify]: Simplify (+ 0 1) into 1
9.670 * [backup-simplify]: Simplify 1 into 1
9.670 * [backup-simplify]: Simplify (+ 0 0) into 0
9.670 * [backup-simplify]: Simplify 0 into 0
9.671 * [backup-simplify]: Simplify (* 1 1) into 1
9.671 * [backup-simplify]: Simplify (* 1 1) into 1
9.672 * [backup-simplify]: Simplify (* 1 1/3) into 1/3
9.672 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
9.672 * [backup-simplify]: Simplify 1/3 into 1/3
9.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/3)) into 0
9.674 * [backup-simplify]: Simplify (+ 0 0) into 0
9.674 * [backup-simplify]: Simplify 0 into 0
9.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0
9.676 * [backup-simplify]: Simplify (+ 0 0) into 0
9.676 * [backup-simplify]: Simplify 0 into 0
9.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) into 0
9.678 * [backup-simplify]: Simplify (+ 0 0) into 0
9.678 * [backup-simplify]: Simplify 0 into 0
9.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))) into 0
9.681 * [backup-simplify]: Simplify (+ 0 0) into 0
9.681 * [backup-simplify]: Simplify 0 into 0
9.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))) into 0
9.683 * [backup-simplify]: Simplify (+ 0 0) into 0
9.683 * [backup-simplify]: Simplify 0 into 0
9.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))))) into 0
9.686 * [backup-simplify]: Simplify (+ 0 0) into 0
9.686 * [backup-simplify]: Simplify 0 into 0
9.686 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (* 1 (/ 1 N))) into (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))
9.686 * [backup-simplify]: Simplify (fma (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) 1/3 (/ 1 (/ 1 (- N)))) into (fma (* -1 (pow N 3)) 1/3 (* -1 N))
9.686 * [approximate]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in (N) around 0
9.686 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N
9.686 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N))
9.686 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N
9.686 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N
9.686 * [taylor]: Taking taylor expansion of -1 in N
9.686 * [backup-simplify]: Simplify -1 into -1
9.687 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.687 * [taylor]: Taking taylor expansion of N in N
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 1 into 1
9.687 * [taylor]: Taking taylor expansion of 1/3 in N
9.687 * [backup-simplify]: Simplify 1/3 into 1/3
9.687 * [taylor]: Taking taylor expansion of (* -1 N) in N
9.687 * [taylor]: Taking taylor expansion of -1 in N
9.687 * [backup-simplify]: Simplify -1 into -1
9.687 * [taylor]: Taking taylor expansion of N in N
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 1 into 1
9.687 * [taylor]: Taking taylor expansion of (fma (* -1 (pow N 3)) 1/3 (* -1 N)) in N
9.687 * [taylor]: Rewrote expression to (+ (* (* -1 (pow N 3)) 1/3) (* -1 N))
9.687 * [taylor]: Taking taylor expansion of (* (* -1 (pow N 3)) 1/3) in N
9.687 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N
9.687 * [taylor]: Taking taylor expansion of -1 in N
9.687 * [backup-simplify]: Simplify -1 into -1
9.687 * [taylor]: Taking taylor expansion of (pow N 3) in N
9.687 * [taylor]: Taking taylor expansion of N in N
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 1 into 1
9.687 * [taylor]: Taking taylor expansion of 1/3 in N
9.687 * [backup-simplify]: Simplify 1/3 into 1/3
9.687 * [taylor]: Taking taylor expansion of (* -1 N) in N
9.687 * [taylor]: Taking taylor expansion of -1 in N
9.687 * [backup-simplify]: Simplify -1 into -1
9.687 * [taylor]: Taking taylor expansion of N in N
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 1 into 1
9.687 * [backup-simplify]: Simplify (* -1 0) into 0
9.688 * [backup-simplify]: Simplify (+ 0 0) into 0
9.688 * [backup-simplify]: Simplify 0 into 0
9.688 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
9.688 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.688 * [backup-simplify]: Simplify -1 into -1
9.689 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
9.689 * [backup-simplify]: Simplify (+ 0 0) into 0
9.689 * [backup-simplify]: Simplify 0 into 0
9.689 * [backup-simplify]: Simplify (* 1 1) into 1
9.690 * [backup-simplify]: Simplify (* 1 1) into 1
9.690 * [backup-simplify]: Simplify (* -1 1) into -1
9.690 * [backup-simplify]: Simplify (* -1 1/3) into -1/3
9.691 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
9.691 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3
9.691 * [backup-simplify]: Simplify -1/3 into -1/3
9.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.692 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0
9.693 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/3)) into 0
9.693 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
9.694 * [backup-simplify]: Simplify (+ 0 0) into 0
9.694 * [backup-simplify]: Simplify 0 into 0
9.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.695 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0
9.696 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/3))) into 0
9.697 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
9.697 * [backup-simplify]: Simplify (+ 0 0) into 0
9.697 * [backup-simplify]: Simplify 0 into 0
9.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.699 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.700 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) into 0
9.700 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
9.701 * [backup-simplify]: Simplify (+ 0 0) into 0
9.701 * [backup-simplify]: Simplify 0 into 0
9.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.703 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.704 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))) into 0
9.705 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
9.705 * [backup-simplify]: Simplify (+ 0 0) into 0
9.705 * [backup-simplify]: Simplify 0 into 0
9.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.707 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.708 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))) into 0
9.710 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
9.710 * [backup-simplify]: Simplify (+ 0 0) into 0
9.710 * [backup-simplify]: Simplify 0 into 0
9.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.715 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.717 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))))) into 0
9.719 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0
9.719 * [backup-simplify]: Simplify (+ 0 0) into 0
9.719 * [backup-simplify]: Simplify 0 into 0
9.720 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (* -1 (/ 1 (- N)))) into (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))
9.720 * * * [progress]: simplifying candidates
9.721 * * * * [progress]: [ 1 / 131 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))>
9.721 * * * * [progress]: [ 2 / 131 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))>
9.721 * * * * [progress]: [ 3 / 131 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))) (cbrt (/ -1/2 (* N N))) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))>
9.721 * * * * [progress]: [ 4 / 131 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (/ -1/2 (* N N))) (sqrt (/ -1/2 (* N N))) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))>
9.721 * * * * [progress]: [ 5 / 131 ] simplifiying candidate #<alt (λ (N) (fma (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))>
9.721 * * * * [progress]: [ 6 / 131 ] simplifiying candidate #<alt (λ (N) (fma (/ (sqrt -1/2) N) (/ (sqrt -1/2) N) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))>
9.721 * * * * [progress]: [ 7 / 131 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 N) (/ -1/2 N) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))>
9.721 * * * * [progress]: [ 8 / 131 ] simplifiying candidate #<alt (λ (N) (fma 1 (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))>
9.721 * * * * [progress]: [ 9 / 131 ] simplifiying candidate #<alt (λ (N) (fma -1/2 (/ 1 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))>
9.721 * * * * [progress]: [ 10 / 131 ] simplifiying candidate #<alt (λ (N) (log (* (exp (/ -1/2 (* N N))) (exp (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))>
9.721 * * * * [progress]: [ 11 / 131 ] simplifiying candidate #<alt (λ (N) (pow (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) 1))>
9.721 * * * * [progress]: [ 12 / 131 ] simplifiying candidate #<alt (λ (N) (exp (log (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))>
9.721 * * * * [progress]: [ 13 / 131 ] simplifiying candidate #<alt (λ (N) (log (exp (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))>
9.721 * * * * [progress]: [ 14 / 131 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))) (cbrt (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))>
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9.729 * * * * [progress]: [ 123 / 131 ] simplifiying candidate #<alt (λ (N) (+ (/ -1/2 (pow N 2)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))>
9.729 * * * * [progress]: [ 124 / 131 ] simplifiying candidate #<alt (λ (N) (+ (/ -1/2 (pow N 2)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))>
9.729 * * * * [progress]: [ 125 / 131 ] simplifiying candidate #<alt (λ (N) (+ (/ -1/2 (pow N 2)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))>
9.729 * * * * [progress]: [ 126 / 131 ] simplifiying candidate #<alt (λ (N) (+ (/ -1/2 (* N N)) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))))>
9.729 * * * * [progress]: [ 127 / 131 ] simplifiying candidate #<alt (λ (N) (+ (/ -1/2 (* N N)) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))))>
9.729 * * * * [progress]: [ 128 / 131 ] simplifiying candidate #<alt (λ (N) (+ (/ -1/2 (* N N)) (fma (/ 1 (pow N 3)) 1/3 (/ 1 N))))>
9.729 * * * * [progress]: [ 129 / 131 ] simplifiying candidate #<alt (λ (N) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))))>
9.729 * * * * [progress]: [ 130 / 131 ] simplifiying candidate #<alt (λ (N) (+ (/ -1/2 (* N N)) (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))))>
9.729 * * * * [progress]: [ 131 / 131 ] simplifiying candidate #<alt (λ (N) (+ (/ -1/2 (* N N)) (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))))>
9.731 * [simplify]: Simplifying (expm1 (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))), (log1p (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))), (* (exp (/ -1/2 (* N N))) (exp (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))), (log (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))), (exp (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))), (* (cbrt (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (cbrt (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))), (cbrt (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))), (* (* (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))), (sqrt (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))), (sqrt (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))), (+ (pow (/ -1/2 (* N N)) 3) (pow (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) 3)), (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 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)) (/ -1/2 (* N N))) (* (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 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 N) (* N N)) 1/3)), (real->posit16 (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))), (expm1 (/ -1/2 (* N N))), (log1p (/ -1/2 (* N N))), (- (log -1/2) (+ (log N) (log N))), (- (log -1/2) (log (* N N))), (log (/ -1/2 (* N N))), (exp (/ -1/2 (* N N))), (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) N) (* (* N N) N))), (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) (* N N)) (* N N))), (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))), (cbrt (/ -1/2 (* N N))), (* (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N))), (sqrt (/ -1/2 (* N N))), (sqrt (/ -1/2 (* N N))), (- -1/2), (- (* N N)), (/ (* (cbrt -1/2) (cbrt -1/2)) N), (/ (cbrt -1/2) N), (/ (sqrt -1/2) N), (/ (sqrt -1/2) N), (/ 1 N), (/ -1/2 N), (/ 1 (* N N)), (/ (* N N) -1/2), (/ -1/2 N), (/ (* N N) (cbrt -1/2)), (/ (* N N) (sqrt -1/2)), (/ (* N N) -1/2), (real->posit16 (/ -1/2 (* N N))), (expm1 (/ (/ 1 N) (* N N))), (log1p (/ (/ 1 N) (* N N))), (- -1 (+ 1 1)), (- -1 2), (- -1 (+ 1 1)), (- -1 (* 2 1)), (- (- 1) (+ 1 1)), (- (- 1) 2), (- (- 1) (+ 1 1)), (- (- 1) (* 2 1)), (- (- (log N)) (+ (log N) (log N))), (- (- (log N)) (log (* N N))), (- (- 0 (log N)) (+ (log N) (log N))), (- (- 0 (log N)) (log (* N N))), (- (- (log 1) (log N)) (+ (log N) (log N))), (- (- (log 1) (log N)) (log (* N N))), (- (log (/ 1 N)) (+ (log N) (log N))), (- (log (/ 1 N)) (log (* N N))), (log (/ (/ 1 N) (* N N))), (exp (/ (/ 1 N) (* N N))), (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))), (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))), (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* (* N N) N) (* (* N N) N))), (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* (* N N) (* N N)) (* N N))), (* (cbrt (/ (/ 1 N) (* N N))) (cbrt (/ (/ 1 N) (* N N)))), (cbrt (/ (/ 1 N) (* N N))), (* (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (/ (/ 1 N) (* N N))), (sqrt (/ (/ 1 N) (* N N))), (sqrt (/ (/ 1 N) (* N N))), (- (/ 1 N)), (- (* N N)), (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) N), (/ (cbrt (/ 1 N)) N), (/ (sqrt (/ 1 N)) N), (/ (sqrt (/ 1 N)) N), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) N), (/ (/ (cbrt 1) (cbrt N)) N), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) N), (/ (/ (cbrt 1) (sqrt N)) N), (/ (/ (* (cbrt 1) (cbrt 1)) 1) N), (/ (/ (cbrt 1) N) N), (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) N), (/ (/ (sqrt 1) (cbrt N)) N), (/ (/ (sqrt 1) (sqrt N)) N), (/ (/ (sqrt 1) (sqrt N)) N), (/ (/ (sqrt 1) 1) N), (/ (/ (sqrt 1) N) N), (/ (/ 1 (* (cbrt N) (cbrt N))) N), (/ (/ 1 (cbrt N)) N), (/ (/ 1 (sqrt N)) N), (/ (/ 1 (sqrt N)) N), (/ (/ 1 1) N), (/ (/ 1 N) N), (/ 1 N), (/ (/ 1 N) N), (/ 1 N), (/ (/ 1 N) N), (/ 1 (* N N)), (/ (* N N) (/ 1 N)), (/ (/ 1 N) N), (/ (* N N) (cbrt (/ 1 N))), (/ (* N N) (sqrt (/ 1 N))), (/ (* N N) (/ (cbrt 1) (cbrt N))), (/ (* N N) (/ (cbrt 1) (sqrt N))), (/ (* N N) (/ (cbrt 1) N)), (/ (* N N) (/ (sqrt 1) (cbrt N))), (/ (* N N) (/ (sqrt 1) (sqrt N))), (/ (* N N) (/ (sqrt 1) N)), (/ (* N N) (/ 1 (cbrt N))), (/ (* N N) (/ 1 (sqrt N))), (/ (* N N) (/ 1 N)), (/ (* N N) (/ 1 N)), (/ (* N N) (/ 1 N)), (* (* N N) N), (real->posit16 (/ (/ 1 N) (* N N))), (expm1 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))), (log1p (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))), (* (/ (/ 1 N) (* N N)) 1/3), (log (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))), (exp (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))), (* (cbrt (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (cbrt (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))), (cbrt (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))), (* (* (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))), (sqrt (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))), (sqrt (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))), (real->posit16 (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))), (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (/ -1/2 (pow N 2)), (/ -1/2 (pow N 2)), (/ -1/2 (pow N 2)), (/ 1 (pow N 3)), (/ 1 (pow N 3)), (/ 1 (pow N 3)), (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))), (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)), (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))
9.734 * * [simplify]: iteration 1: (190 enodes)
9.842 * * [simplify]: iteration 2: (744 enodes)
10.085 * * [simplify]: iteration 3: (1435 enodes)
10.865 * * [simplify]: Extracting #0: cost 68 inf + 0
10.866 * * [simplify]: Extracting #1: cost 372 inf + 2
10.869 * * [simplify]: Extracting #2: cost 642 inf + 7961
10.884 * * [simplify]: Extracting #3: cost 392 inf + 68665
10.922 * * [simplify]: Extracting #4: cost 80 inf + 165550
10.981 * * [simplify]: Extracting #5: cost 0 inf + 190027
11.026 * * [simplify]: Extracting #6: cost 0 inf + 188957
11.096 * [simplify]: Simplified to (expm1 (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))), (log1p (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))), (exp (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))), (log (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))), (exp (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))), (* (cbrt (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))) (cbrt (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))))), (cbrt (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))), (* (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (* (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))))), (sqrt (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))), (sqrt (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))), (fma (* (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (/ (/ -1/8 (* N N)) (* (* N N) (* N N)))), (fma (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N))))), (* (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (fma (/ (/ 1 N) N) -1/2 (- (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))))), (fma (/ (/ 1 N) N) -1/2 (- (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))), (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))), (real->posit16 (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))), (expm1 (/ (/ -1/2 N) N)), (log1p (/ (/ -1/2 N) N)), (log (/ (/ -1/2 N) N)), (log (/ (/ -1/2 N) N)), (log (/ (/ -1/2 N) N)), (exp (/ (/ -1/2 N) N)), (/ (/ -1/8 (* N N)) (* (* N N) (* N N))), (/ (/ -1/8 (* N N)) (* (* N N) (* N N))), (* (cbrt (/ (/ -1/2 N) N)) (cbrt (/ (/ -1/2 N) N))), (cbrt (/ (/ -1/2 N) N)), (/ (/ -1/8 (* N N)) (* (* N N) (* N N))), (sqrt (/ (/ -1/2 N) N)), (sqrt (/ (/ -1/2 N) N)), 1/2, (- (* N N)), (* (cbrt -1/2) (/ (cbrt -1/2) N)), (/ (cbrt -1/2) N), (/ (sqrt -1/2) N), (/ (sqrt -1/2) N), (/ 1 N), (/ -1/2 N), (/ (/ 1 N) N), (/ N (/ -1/2 N)), (/ -1/2 N), (/ (* N N) (cbrt -1/2)), (/ (* N N) (sqrt -1/2)), (/ N (/ -1/2 N)), (real->posit16 (/ (/ -1/2 N) N)), (expm1 (* (/ (/ 1 N) N) (/ 1 N))), (log1p (* (/ (/ 1 N) N) (/ 1 N))), -3, -3, -3, -3, -3, -3, -3, -3, (- (* 3 (log N))), (- (* 3 (log N))), (- (* 3 (log N))), (- (* 3 (log N))), (- (* 3 (log N))), (- (* 3 (log N))), (- (* 3 (log N))), (- (* 3 (log N))), (- (* 3 (log N))), (exp (* (/ (/ 1 N) N) (/ 1 N))), (/ (/ 1 (* (* (* N N) (* N N)) N)) (* (* N N) (* N N))), (/ (/ 1 (* (* (* N N) (* N N)) N)) (* (* N N) (* N N))), (/ (/ 1 (* (* (* N N) (* N N)) N)) (* (* N N) (* N N))), (/ (/ 1 (* (* (* N N) (* N N)) N)) (* (* N N) (* N N))), (/ (/ 1 N) N), (/ 1 N), (/ (/ 1 (* (* (* N N) (* N N)) N)) (* (* N N) (* N N))), (sqrt (* (/ (/ 1 N) N) (/ 1 N))), (sqrt (* (/ (/ 1 N) N) (/ 1 N))), (/ -1 N), (- (* N N)), (* (/ (cbrt (/ 1 N)) N) (cbrt (/ 1 N))), (/ (cbrt (/ 1 N)) N), (/ (sqrt (/ 1 N)) N), (/ (sqrt (/ 1 N)) N), (/ (/ (/ 1 N) (cbrt N)) (cbrt N)), (/ (/ 1 N) (cbrt N)), (/ (/ 1 N) (sqrt N)), (/ (/ 1 N) (sqrt N)), (/ 1 N), (/ (/ 1 N) N), (/ (/ (/ 1 N) (cbrt N)) (cbrt N)), (/ (/ 1 N) (cbrt N)), (/ (/ 1 N) (sqrt N)), (/ (/ 1 N) (sqrt N)), (/ 1 N), (/ (/ 1 N) N), (/ (/ (/ 1 N) (cbrt N)) (cbrt N)), (/ (/ 1 N) (cbrt N)), (/ (/ 1 N) (sqrt N)), (/ (/ 1 N) (sqrt N)), (/ 1 N), (/ (/ 1 N) N), (/ 1 N), (/ (/ 1 N) N), (/ 1 N), (/ (/ 1 N) N), (/ (/ 1 N) N), (* N (* N N)), (/ (/ 1 N) N), (/ (* N N) (cbrt (/ 1 N))), (* N (/ N (sqrt (/ 1 N)))), (* N (* N (cbrt N))), (* (* N (sqrt N)) N), (* N (* N N)), (* N (* N (cbrt N))), (* (* N (sqrt N)) N), (* N (* N N)), (* N (* N (cbrt N))), (* (* N (sqrt N)) N), (* N (* N N)), (* N (* N N)), (* N (* N N)), (* N (* N N)), (real->posit16 (* (/ (/ 1 N) N) (/ 1 N))), (expm1 (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (log1p (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (/ 1/3 (* N (* N N))), (log (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (exp (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (* (cbrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (cbrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)))), (cbrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (* (* (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (sqrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (sqrt (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (real->posit16 (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (fma -1/2 (/ (/ 1 N) N) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))), (/ (/ -1/2 N) N), (/ (/ -1/2 N) N), (/ (/ -1/2 N) N), (* (/ (/ 1 N) N) (/ 1 N)), (* (/ (/ 1 N) N) (/ 1 N)), (* (/ (/ 1 N) N) (/ 1 N)), (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)), (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)), (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))
11.110 * * * [progress]: adding candidates to table
12.307 * [progress]: [Phase 3 of 3] Extracting.
12.307 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))> #<alt (λ (N) (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))> #<alt (λ (N) (+ (/ -1/2 (* N N)) (log (exp (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> #<alt (λ (N) (/ (fma (* (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (/ (/ -1/8 (* N N)) (* (* N N) (* N N)))) (fma (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))))))> #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))>)
12.310 * * * [regime-changes]: Trying 1 branch expressions: (N)
12.310 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))> #<alt (λ (N) (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))> #<alt (λ (N) (+ (/ -1/2 (* N N)) (log (exp (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> #<alt (λ (N) (/ (fma (* (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (/ (/ -1/8 (* N N)) (* (* N N) (* N N)))) (fma (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))))))> #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))>)
12.352 * * * [regime]: Found split indices: #<option (#s(si 0 136) #s(si 1 255))>
12.353 * [binary-search]: Improving bounds with binary search for N and (#<alt (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))> #<alt (λ (N) (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))> #<alt (λ (N) (+ (/ -1/2 (* N N)) (log (exp (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> #<alt (λ (N) (/ (fma (* (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (/ (/ -1/8 (* N N)) (* (* N N) (* N N)))) (fma (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))))))> #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))>)
12.406 * [regimes]: Found splitpoints: (#s(sp 0 N 4486.417968767682) #s(sp 1 N +nan.0)) , with alts (#<alt (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))> #<alt (λ (N) (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))> #<alt (λ (N) (+ (/ -1/2 (* N N)) (log (exp (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))))> #<alt (λ (N) (/ (fma (* (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N))) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (/ (/ -1/8 (* N N)) (* (* N N) (* N N)))) (fma (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (fma (fma (* (/ (/ 1 N) N) (/ 1 N)) 1/3 (/ 1 N)) (/ 1/2 (* N N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))))))> #<alt (λ (N) (- (- (log1p N) (+ (log (cbrt N)) (log (cbrt N)))) (log (cbrt N))))>)
12.406 * [simplify]: Simplifying (if (<= N 4486.417968767682) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))))
12.407 * * [simplify]: iteration 1: (18 enodes)
12.408 * * [simplify]: iteration 2: (21 enodes)
12.409 * * [simplify]: Extracting #0: cost 1 inf + 0
12.409 * * [simplify]: Extracting #1: cost 4 inf + 0
12.409 * * [simplify]: Extracting #2: cost 10 inf + 0
12.409 * * [simplify]: Extracting #3: cost 15 inf + 2
12.409 * * [simplify]: Extracting #4: cost 10 inf + 274
12.410 * * [simplify]: Extracting #5: cost 5 inf + 895
12.410 * * [simplify]: Extracting #6: cost 2 inf + 1237
12.410 * * [simplify]: Extracting #7: cost 1 inf + 1496
12.411 * * [simplify]: Extracting #8: cost 0 inf + 2181
12.411 * [simplify]: Simplified to (if (<= N 4486.417968767682) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (+ (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (/ -1/2 (* N N))))
16.380 * [regime-testing]: Baseline error score: 30.017104163260864
16.384 * [regime-testing]: Oracle error score: 0.05017250424523151
16.393 * [regime-testing]: End program error score: 0.05794610275534459