14.218 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.075 * * * [progress]: [2/2] Setting up program.
0.078 * [progress]: [Phase 2 of 3] Improving.
0.078 * [simplify]: Simplifying:
  (- (log (+ N 1.0)) (log N))
0.078 * [simplify]: Sending expressions to egg_math:
 (- (log (+ h0 1.0)) (log h0))
0.080 * * [progress]: iteration 1 / 4
0.080 * * * [progress]: picking best candidate
0.082 * * * * [pick]: Picked  #<alt (λ (N) (- (log (+ N 1.0)) (log N)))>
0.082 * * * [progress]: localizing error
0.090 * * * [progress]: generating rewritten candidates
0.090 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.097 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.132 * * * [progress]: generating series expansions
0.132 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.136 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0))
0.136 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0
0.137 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.137 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.137 * [taylor]: Taking taylor expansion of N in N
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.137 * [taylor]: Taking taylor expansion of 1.0 in N
0.137 * [backup-simplify]: Simplify 1.0 into 1.0
0.139 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.139 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.139 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.139 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.139 * [taylor]: Taking taylor expansion of N in N
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [taylor]: Taking taylor expansion of 1.0 in N
0.139 * [backup-simplify]: Simplify 1.0 into 1.0
0.139 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.140 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.141 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.142 * [backup-simplify]: Simplify (+ 1 0) into 1
0.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
0.146 * [backup-simplify]: Simplify 1.0 into 1.0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.153 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
0.154 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2))
0.156 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2))))
0.156 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0))
0.156 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0
0.156 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.156 * [taylor]: Taking taylor expansion of N in N
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (/ 1 1) into 1
0.156 * [taylor]: Taking taylor expansion of 1.0 in N
0.156 * [backup-simplify]: Simplify 1.0 into 1.0
0.157 * [backup-simplify]: Simplify (+ 1 0) into 1
0.157 * [backup-simplify]: Simplify (log 1) into 0
0.157 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.157 * [taylor]: Taking taylor expansion of N in N
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (/ 1 1) into 1
0.157 * [taylor]: Taking taylor expansion of 1.0 in N
0.157 * [backup-simplify]: Simplify 1.0 into 1.0
0.158 * [backup-simplify]: Simplify (+ 1 0) into 1
0.158 * [backup-simplify]: Simplify (log 1) into 0
0.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.158 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
0.163 * [backup-simplify]: Simplify 1.0 into 1.0
0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
0.170 * [backup-simplify]: Simplify -0.5 into -0.5
0.170 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N))))
0.171 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N)))
0.171 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0
0.171 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.171 * [taylor]: Taking taylor expansion of 1.0 in N
0.171 * [backup-simplify]: Simplify 1.0 into 1.0
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
0.171 * [backup-simplify]: Simplify (- 1) into -1
0.172 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.172 * [backup-simplify]: Simplify (log -1) into (log -1)
0.172 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.172 * [taylor]: Taking taylor expansion of 1.0 in N
0.172 * [backup-simplify]: Simplify 1.0 into 1.0
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
0.173 * [backup-simplify]: Simplify (- 1) into -1
0.173 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.173 * [backup-simplify]: Simplify (log -1) into (log -1)
0.174 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.174 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N))
0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (- 0) into 0
0.175 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
0.179 * [backup-simplify]: Simplify -1.0 into -1.0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (- 0) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
0.186 * [backup-simplify]: Simplify -0.5 into -0.5
0.187 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N))))
0.187 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.187 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N))
0.187 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0
0.187 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
0.187 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.187 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.187 * [taylor]: Taking taylor expansion of N in N
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.187 * [taylor]: Taking taylor expansion of 1.0 in N
0.187 * [backup-simplify]: Simplify 1.0 into 1.0
0.188 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.188 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.188 * [taylor]: Taking taylor expansion of (log N) in N
0.188 * [taylor]: Taking taylor expansion of N in N
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (log 1) into 0
0.188 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
0.188 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.188 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.188 * [taylor]: Taking taylor expansion of N in N
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [taylor]: Taking taylor expansion of 1.0 in N
0.188 * [backup-simplify]: Simplify 1.0 into 1.0
0.189 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.189 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.189 * [taylor]: Taking taylor expansion of (log N) in N
0.189 * [taylor]: Taking taylor expansion of N in N
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (log 1) into 0
0.190 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
0.190 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
0.190 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N))
0.190 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N))
0.191 * [backup-simplify]: Simplify (+ 1 0) into 1
0.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
0.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.195 * [backup-simplify]: Simplify (- 0) into 0
0.195 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.195 * [backup-simplify]: Simplify 1.0 into 1.0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
0.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.204 * [backup-simplify]: Simplify (- 0) into 0
0.205 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2))))
0.207 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2))))
0.210 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
0.210 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))
0.210 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0
0.210 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
0.210 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.210 * [taylor]: Taking taylor expansion of N in N
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 1 into 1
0.210 * [backup-simplify]: Simplify (/ 1 1) into 1
0.210 * [taylor]: Taking taylor expansion of 1.0 in N
0.210 * [backup-simplify]: Simplify 1.0 into 1.0
0.211 * [backup-simplify]: Simplify (+ 1 0) into 1
0.211 * [backup-simplify]: Simplify (log 1) into 0
0.211 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N
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
0.211 * [backup-simplify]: Simplify (/ 1 1) into 1
0.212 * [backup-simplify]: Simplify (log 1) into 0
0.212 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
0.212 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.212 * [taylor]: Taking taylor expansion of N in N
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (/ 1 1) into 1
0.212 * [taylor]: Taking taylor expansion of 1.0 in N
0.212 * [backup-simplify]: Simplify 1.0 into 1.0
0.212 * [backup-simplify]: Simplify (+ 1 0) into 1
0.213 * [backup-simplify]: Simplify (log 1) into 0
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 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
0.213 * [backup-simplify]: Simplify (log 1) into 0
0.214 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.214 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.214 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
0.214 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.227 * [backup-simplify]: Simplify (- 0) into 0
0.227 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.227 * [backup-simplify]: Simplify 1.0 into 1.0
0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.239 * [backup-simplify]: Simplify (- 0) into 0
0.240 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
0.240 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333
0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.255 * [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
0.256 * [backup-simplify]: Simplify (- 0) into 0
0.256 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.256 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.257 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
0.257 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))
0.257 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0
0.257 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
0.257 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.257 * [taylor]: Taking taylor expansion of 1.0 in N
0.257 * [backup-simplify]: Simplify 1.0 into 1.0
0.257 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.257 * [taylor]: Taking taylor expansion of N in N
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (/ 1 1) into 1
0.258 * [backup-simplify]: Simplify (- 1) into -1
0.258 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.258 * [backup-simplify]: Simplify (log -1) into (log -1)
0.258 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
0.258 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.258 * [taylor]: Taking taylor expansion of -1 in N
0.258 * [backup-simplify]: Simplify -1 into -1
0.258 * [taylor]: Taking taylor expansion of N in N
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (/ -1 1) into -1
0.259 * [backup-simplify]: Simplify (log -1) into (log -1)
0.259 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
0.259 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.259 * [taylor]: Taking taylor expansion of 1.0 in N
0.259 * [backup-simplify]: Simplify 1.0 into 1.0
0.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.259 * [taylor]: Taking taylor expansion of N in N
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (/ 1 1) into 1
0.260 * [backup-simplify]: Simplify (- 1) into -1
0.260 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.260 * [backup-simplify]: Simplify (log -1) into (log -1)
0.260 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
0.260 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.260 * [taylor]: Taking taylor expansion of -1 in N
0.261 * [backup-simplify]: Simplify -1 into -1
0.261 * [taylor]: Taking taylor expansion of N in N
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (/ -1 1) into -1
0.261 * [backup-simplify]: Simplify (log -1) into (log -1)
0.262 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.263 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.264 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
0.264 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
0.264 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (- 0) into 0
0.266 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
0.274 * [backup-simplify]: Simplify (- 0) into 0
0.275 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0)
0.275 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (- 0) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
0.285 * [backup-simplify]: Simplify (- 0) into 0
0.286 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
0.286 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (- 0) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333
0.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [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
0.302 * [backup-simplify]: Simplify (- 0) into 0
0.303 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333)
0.303 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333)
0.304 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
0.305 * * * [progress]: simplifying candidates
0.305 * [simplify]: Simplifying:
  (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (log (cbrt (+ N 1.0)))
  (log (sqrt (+ N 1.0)))
  (log (sqrt (+ N 1.0)))
  (log 1)
  (log (+ N 1.0))
  (log 1)
  (log (+ N 1.0))
  (log (+ (pow N 3) (pow 1.0 3)))
  (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (log (- (* N N) (* 1.0 1.0)))
  (log (- N 1.0))
  (log (+ N 1.0))
  (log (log (+ N 1.0)))
  (exp (log (+ N 1.0)))
  (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))
  (cbrt (log (+ N 1.0)))
  (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0)))
  (sqrt (log (+ N 1.0)))
  (sqrt (log (+ N 1.0)))
  (/ (+ N 1.0) N)
  (log (- (log (+ N 1.0)) (log N)))
  (exp (- (log (+ N 1.0)) (log N)))
  (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N))))
  (cbrt (- (log (+ N 1.0)) (log N)))
  (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N)))
  (sqrt (- (log (+ N 1.0)) (log N)))
  (sqrt (- (log (+ N 1.0)) (log N)))
  (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))
  (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N))))
  (- (log N))
  (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
  (+ (log (+ N 1.0)) (log N))
  (+ (sqrt (log (+ N 1.0))) (sqrt (log N)))
  (- (sqrt (log (+ N 1.0))) (sqrt (log N)))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N))))
  (- (log (+ N 1.0)) (log (sqrt N)))
  (- (log (+ N 1.0)) (log 1))
  (- (log (cbrt (+ N 1.0))) (log N))
  (- (log (sqrt (+ N 1.0))) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N))
  (+ (log (- N 1.0)) (log N))
  (- (log N))
  (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2))))
  (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N))))
  (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N))))
  (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
0.306 * [simplify]: Sending expressions to egg_math:
 (log (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))))
 (log (cbrt (+ h0 1.0)))
 (log (sqrt (+ h0 1.0)))
 (log (sqrt (+ h0 1.0)))
 (log 1)
 (log (+ h0 1.0))
 (log 1)
 (log (+ h0 1.0))
 (log (+ (pow h0 3) (pow 1.0 3)))
 (log (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0))))
 (log (- (* h0 h0) (* 1.0 1.0)))
 (log (- h0 1.0))
 (log (+ h0 1.0))
 (log (log (+ h0 1.0)))
 (exp (log (+ h0 1.0)))
 (* (cbrt (log (+ h0 1.0))) (cbrt (log (+ h0 1.0))))
 (cbrt (log (+ h0 1.0)))
 (* (* (log (+ h0 1.0)) (log (+ h0 1.0))) (log (+ h0 1.0)))
 (sqrt (log (+ h0 1.0)))
 (sqrt (log (+ h0 1.0)))
 (/ (+ h0 1.0) h0)
 (log (- (log (+ h0 1.0)) (log h0)))
 (exp (- (log (+ h0 1.0)) (log h0)))
 (* (cbrt (- (log (+ h0 1.0)) (log h0))) (cbrt (- (log (+ h0 1.0)) (log h0))))
 (cbrt (- (log (+ h0 1.0)) (log h0)))
 (* (* (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0))) (- (log (+ h0 1.0)) (log h0)))
 (sqrt (- (log (+ h0 1.0)) (log h0)))
 (sqrt (- (log (+ h0 1.0)) (log h0)))
 (- (pow (log (+ h0 1.0)) 3) (pow (log h0) 3))
 (+ (* (log (+ h0 1.0)) (log (+ h0 1.0))) (+ (* (log h0) (log h0)) (* (log (+ h0 1.0)) (log h0))))
 (- (log h0))
 (- (* (log (+ h0 1.0)) (log (+ h0 1.0))) (* (log h0) (log h0)))
 (+ (log (+ h0 1.0)) (log h0))
 (+ (sqrt (log (+ h0 1.0))) (sqrt (log h0)))
 (- (sqrt (log (+ h0 1.0))) (sqrt (log h0)))
 (- (log (+ h0 1.0)) (log h0))
 (- (log (+ h0 1.0)) (log h0))
 (- (log (+ h0 1.0)) (log h0))
 (- (log (+ h0 1.0)) (log h0))
 (- (log (+ h0 1.0)) (log (* (cbrt h0) (cbrt h0))))
 (- (log (+ h0 1.0)) (log (sqrt h0)))
 (- (log (+ h0 1.0)) (log 1))
 (- (log (cbrt (+ h0 1.0))) (log h0))
 (- (log (sqrt (+ h0 1.0))) (log h0))
 (- (log (+ h0 1.0)) (log h0))
 (- (log (+ h0 1.0)) (log h0))
 (+ (log (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (log h0))
 (+ (log (- h0 1.0)) (log h0))
 (- (log h0))
 (- (+ (* 1.0 h0) (log 1.0)) (* (/ 1 2) (/ (pow h0 2) (pow 1.0 2))))
 (- (* 1.0 (/ 1 h0)) (+ (* (/ 1.0 2.0) (/ 1 (pow h0 2))) (log (/ 1 h0))))
 (- (+ (* 1.0 (/ 1 h0)) (log -1)) (+ (* (/ 1.0 2.0) (/ 1 (pow h0 2))) (log (/ -1 h0))))
 (- (+ (* 1.0 h0) (log 1.0)) (+ (* (/ 1 2) (/ (pow h0 2) (pow 1.0 2))) (log h0)))
 (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2))))
 (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2))))
0.399 * * * [progress]: adding candidates to table
0.538 * * [progress]: iteration 2 / 4
0.538 * * * [progress]: picking best candidate
0.549 * * * * [pick]: Picked  #<alt (λ (N) (log (/ (+ N 1.0) N)))>
0.549 * * * [progress]: localizing error
0.558 * * * [progress]: generating rewritten candidates
0.558 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.570 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.632 * * * [progress]: generating series expansions
0.632 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.632 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N))
0.632 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0
0.632 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N
0.632 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
0.632 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.632 * [taylor]: Taking taylor expansion of N in N
0.632 * [backup-simplify]: Simplify 0 into 0
0.632 * [backup-simplify]: Simplify 1 into 1
0.632 * [taylor]: Taking taylor expansion of 1.0 in N
0.632 * [backup-simplify]: Simplify 1.0 into 1.0
0.632 * [taylor]: Taking taylor expansion of N in N
0.632 * [backup-simplify]: Simplify 0 into 0
0.632 * [backup-simplify]: Simplify 1 into 1
0.633 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.633 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
0.633 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.633 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N
0.633 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
0.633 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.633 * [taylor]: Taking taylor expansion of N in N
0.633 * [backup-simplify]: Simplify 0 into 0
0.633 * [backup-simplify]: Simplify 1 into 1
0.633 * [taylor]: Taking taylor expansion of 1.0 in N
0.633 * [backup-simplify]: Simplify 1.0 into 1.0
0.633 * [taylor]: Taking taylor expansion of N in N
0.634 * [backup-simplify]: Simplify 0 into 0
0.634 * [backup-simplify]: Simplify 1 into 1
0.634 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.634 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
0.634 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.635 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N))
0.635 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N))
0.636 * [backup-simplify]: Simplify (+ 1 0) into 1
0.636 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1
0.639 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
0.639 * [backup-simplify]: Simplify 1.0 into 1.0
0.639 * [backup-simplify]: Simplify (+ 0 0) into 0
0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0
0.646 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
0.646 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2))
0.648 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
0.648 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0)))
0.648 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0
0.648 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N
0.648 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
0.648 * [taylor]: Taking taylor expansion of N in N
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify 1 into 1
0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.648 * [taylor]: Taking taylor expansion of N in N
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify 1 into 1
0.648 * [backup-simplify]: Simplify (/ 1 1) into 1
0.648 * [taylor]: Taking taylor expansion of 1.0 in N
0.648 * [backup-simplify]: Simplify 1.0 into 1.0
0.649 * [backup-simplify]: Simplify (+ 1 0) into 1
0.649 * [backup-simplify]: Simplify (* 0 1) into 0
0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.650 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.650 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
0.650 * [backup-simplify]: Simplify (log 1) into 0
0.650 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N
0.650 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
0.650 * [taylor]: Taking taylor expansion of N in N
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.650 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.650 * [taylor]: Taking taylor expansion of N in N
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.651 * [backup-simplify]: Simplify (/ 1 1) into 1
0.651 * [taylor]: Taking taylor expansion of 1.0 in N
0.651 * [backup-simplify]: Simplify 1.0 into 1.0
0.651 * [backup-simplify]: Simplify (+ 1 0) into 1
0.651 * [backup-simplify]: Simplify (* 0 1) into 0
0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.652 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.652 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
0.653 * [backup-simplify]: Simplify (log 1) into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.653 * [backup-simplify]: Simplify (+ 0 0) into 0
0.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0
0.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
0.659 * [backup-simplify]: Simplify 1.0 into 1.0
0.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.659 * [backup-simplify]: Simplify (+ 0 0) into 0
0.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0
0.672 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
0.672 * [backup-simplify]: Simplify -0.5 into -0.5
0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.673 * [backup-simplify]: Simplify (+ 0 0) into 0
0.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0
0.694 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333
0.695 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.695 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
0.696 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N)))))
0.696 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0
0.696 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N
0.696 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
0.696 * [taylor]: Taking taylor expansion of -1 in N
0.696 * [backup-simplify]: Simplify -1 into -1
0.696 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
0.696 * [taylor]: Taking taylor expansion of N in N
0.696 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify 1 into 1
0.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.696 * [taylor]: Taking taylor expansion of 1.0 in N
0.696 * [backup-simplify]: Simplify 1.0 into 1.0
0.696 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.696 * [taylor]: Taking taylor expansion of N in N
0.696 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify 1 into 1
0.697 * [backup-simplify]: Simplify (/ 1 1) into 1
0.697 * [backup-simplify]: Simplify (- 1) into -1
0.697 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.698 * [backup-simplify]: Simplify (* 0 -1) into 0
0.698 * [backup-simplify]: Simplify (* -1 0) into 0
0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.700 * [backup-simplify]: Simplify (- 0) into 0
0.700 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.701 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
0.702 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
0.702 * [backup-simplify]: Simplify (log 1) into 0
0.702 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N
0.702 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
0.702 * [taylor]: Taking taylor expansion of -1 in N
0.702 * [backup-simplify]: Simplify -1 into -1
0.702 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
0.702 * [taylor]: Taking taylor expansion of N in N
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 1 into 1
0.702 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.702 * [taylor]: Taking taylor expansion of 1.0 in N
0.702 * [backup-simplify]: Simplify 1.0 into 1.0
0.702 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.702 * [taylor]: Taking taylor expansion of N in N
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 1 into 1
0.703 * [backup-simplify]: Simplify (/ 1 1) into 1
0.703 * [backup-simplify]: Simplify (- 1) into -1
0.704 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.704 * [backup-simplify]: Simplify (* 0 -1) into 0
0.705 * [backup-simplify]: Simplify (* -1 0) into 0
0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.707 * [backup-simplify]: Simplify (- 0) into 0
0.707 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.708 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
0.709 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
0.709 * [backup-simplify]: Simplify (log 1) into 0
0.709 * [backup-simplify]: Simplify 0 into 0
0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.711 * [backup-simplify]: Simplify (- 0) into 0
0.711 * [backup-simplify]: Simplify (+ 0 0) into 0
0.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0
0.716 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0)
0.730 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0
0.730 * [backup-simplify]: Simplify -1.0 into -1.0
0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (- 0) into 0
0.732 * [backup-simplify]: Simplify (+ 0 0) into 0
0.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0
0.735 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0
0.748 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
0.748 * [backup-simplify]: Simplify -0.5 into -0.5
0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.750 * [backup-simplify]: Simplify (- 0) into 0
0.750 * [backup-simplify]: Simplify (+ 0 0) into 0
0.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
0.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0
0.773 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333
0.773 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333
0.773 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
0.774 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.774 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N)
0.774 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0
0.774 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
0.774 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.774 * [taylor]: Taking taylor expansion of N in N
0.774 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify 1 into 1
0.774 * [taylor]: Taking taylor expansion of 1.0 in N
0.774 * [backup-simplify]: Simplify 1.0 into 1.0
0.774 * [taylor]: Taking taylor expansion of N in N
0.774 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify 1 into 1
0.774 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.775 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
0.775 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
0.775 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.775 * [taylor]: Taking taylor expansion of N in N
0.775 * [backup-simplify]: Simplify 0 into 0
0.775 * [backup-simplify]: Simplify 1 into 1
0.775 * [taylor]: Taking taylor expansion of 1.0 in N
0.775 * [backup-simplify]: Simplify 1.0 into 1.0
0.775 * [taylor]: Taking taylor expansion of N in N
0.775 * [backup-simplify]: Simplify 0 into 0
0.775 * [backup-simplify]: Simplify 1 into 1
0.775 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.775 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
0.775 * [backup-simplify]: Simplify 1.0 into 1.0
0.776 * [backup-simplify]: Simplify (+ 1 0) into 1
0.776 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1
0.776 * [backup-simplify]: Simplify 1 into 1
0.777 * [backup-simplify]: Simplify (+ 0 0) into 0
0.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0
0.777 * [backup-simplify]: Simplify 0 into 0
0.777 * [backup-simplify]: Simplify (+ 0 0) into 0
0.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.778 * [backup-simplify]: Simplify 0 into 0
0.779 * [backup-simplify]: Simplify (+ 0 0) into 0
0.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.779 * [backup-simplify]: Simplify 0 into 0
0.779 * [backup-simplify]: Simplify (+ 0 0) into 0
0.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.780 * [backup-simplify]: Simplify 0 into 0
0.780 * [backup-simplify]: Simplify (+ 0 0) into 0
0.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.781 * [backup-simplify]: Simplify 0 into 0
0.781 * [backup-simplify]: Simplify (+ 0 0) into 0
0.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.782 * [backup-simplify]: Simplify 0 into 0
0.782 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1)
0.782 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0))
0.782 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0
0.783 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
0.783 * [taylor]: Taking taylor expansion of N in N
0.783 * [backup-simplify]: Simplify 0 into 0
0.783 * [backup-simplify]: Simplify 1 into 1
0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.783 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.783 * [taylor]: Taking taylor expansion of N in N
0.783 * [backup-simplify]: Simplify 0 into 0
0.783 * [backup-simplify]: Simplify 1 into 1
0.783 * [backup-simplify]: Simplify (/ 1 1) into 1
0.783 * [taylor]: Taking taylor expansion of 1.0 in N
0.783 * [backup-simplify]: Simplify 1.0 into 1.0
0.783 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
0.783 * [taylor]: Taking taylor expansion of N in N
0.783 * [backup-simplify]: Simplify 0 into 0
0.783 * [backup-simplify]: Simplify 1 into 1
0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.783 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.783 * [taylor]: Taking taylor expansion of N in N
0.783 * [backup-simplify]: Simplify 0 into 0
0.783 * [backup-simplify]: Simplify 1 into 1
0.783 * [backup-simplify]: Simplify (/ 1 1) into 1
0.783 * [taylor]: Taking taylor expansion of 1.0 in N
0.783 * [backup-simplify]: Simplify 1.0 into 1.0
0.784 * [backup-simplify]: Simplify (+ 1 0) into 1
0.784 * [backup-simplify]: Simplify (* 0 1) into 0
0.784 * [backup-simplify]: Simplify 0 into 0
0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.785 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.785 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
0.785 * [backup-simplify]: Simplify 1 into 1
0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.786 * [backup-simplify]: Simplify (+ 0 0) into 0
0.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0
0.788 * [backup-simplify]: Simplify 1.0 into 1.0
0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.789 * [backup-simplify]: Simplify (+ 0 0) into 0
0.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0
0.790 * [backup-simplify]: Simplify 0 into 0
0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.791 * [backup-simplify]: Simplify (+ 0 0) into 0
0.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0
0.792 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.793 * [backup-simplify]: Simplify (+ 0 0) into 0
0.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0
0.794 * [backup-simplify]: Simplify 0 into 0
0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.795 * [backup-simplify]: Simplify (+ 0 0) into 0
0.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0
0.797 * [backup-simplify]: Simplify 0 into 0
0.797 * [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
0.798 * [backup-simplify]: Simplify (+ 0 0) into 0
0.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0
0.799 * [backup-simplify]: Simplify 0 into 0
0.799 * [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
0.800 * [backup-simplify]: Simplify (+ 0 0) into 0
0.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0
0.801 * [backup-simplify]: Simplify 0 into 0
0.801 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1)
0.801 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N))))
0.801 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0
0.801 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
0.801 * [taylor]: Taking taylor expansion of -1 in N
0.801 * [backup-simplify]: Simplify -1 into -1
0.801 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
0.801 * [taylor]: Taking taylor expansion of N in N
0.801 * [backup-simplify]: Simplify 0 into 0
0.801 * [backup-simplify]: Simplify 1 into 1
0.802 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.802 * [taylor]: Taking taylor expansion of 1.0 in N
0.802 * [backup-simplify]: Simplify 1.0 into 1.0
0.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.802 * [taylor]: Taking taylor expansion of N in N
0.802 * [backup-simplify]: Simplify 0 into 0
0.802 * [backup-simplify]: Simplify 1 into 1
0.802 * [backup-simplify]: Simplify (/ 1 1) into 1
0.802 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
0.802 * [taylor]: Taking taylor expansion of -1 in N
0.802 * [backup-simplify]: Simplify -1 into -1
0.802 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
0.802 * [taylor]: Taking taylor expansion of N in N
0.802 * [backup-simplify]: Simplify 0 into 0
0.802 * [backup-simplify]: Simplify 1 into 1
0.802 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.802 * [taylor]: Taking taylor expansion of 1.0 in N
0.802 * [backup-simplify]: Simplify 1.0 into 1.0
0.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.802 * [taylor]: Taking taylor expansion of N in N
0.802 * [backup-simplify]: Simplify 0 into 0
0.802 * [backup-simplify]: Simplify 1 into 1
0.802 * [backup-simplify]: Simplify (/ 1 1) into 1
0.803 * [backup-simplify]: Simplify (- 1) into -1
0.803 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.803 * [backup-simplify]: Simplify (* 0 -1) into 0
0.804 * [backup-simplify]: Simplify (* -1 0) into 0
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.804 * [backup-simplify]: Simplify (- 0) into 0
0.805 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.805 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
0.806 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
0.806 * [backup-simplify]: Simplify 1 into 1
0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.806 * [backup-simplify]: Simplify (- 0) into 0
0.807 * [backup-simplify]: Simplify (+ 0 0) into 0
0.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0
0.811 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0)
0.811 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.813 * [backup-simplify]: Simplify (- 0) into 0
0.813 * [backup-simplify]: Simplify (+ 0 0) into 0
0.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0
0.815 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0
0.815 * [backup-simplify]: Simplify 0 into 0
0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.817 * [backup-simplify]: Simplify (- 0) into 0
0.817 * [backup-simplify]: Simplify (+ 0 0) into 0
0.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
0.820 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.821 * [backup-simplify]: Simplify (- 0) into 0
0.822 * [backup-simplify]: Simplify (+ 0 0) into 0
0.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
0.825 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0
0.825 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.827 * [backup-simplify]: Simplify (- 0) into 0
0.827 * [backup-simplify]: Simplify (+ 0 0) into 0
0.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
0.832 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0
0.832 * [backup-simplify]: Simplify 0 into 0
0.834 * [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
0.834 * [backup-simplify]: Simplify (- 0) into 0
0.835 * [backup-simplify]: Simplify (+ 0 0) into 0
0.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
0.839 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0
0.839 * [backup-simplify]: Simplify 0 into 0
0.840 * [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
0.841 * [backup-simplify]: Simplify (- 0) into 0
0.841 * [backup-simplify]: Simplify (+ 0 0) into 0
0.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0
0.846 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0
0.846 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1)
0.847 * * * [progress]: simplifying candidates
0.849 * [simplify]: Simplifying:
  (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))
  (log (cbrt (/ (+ N 1.0) N)))
  (log (sqrt (/ (+ N 1.0) N)))
  (log (sqrt (/ (+ N 1.0) N)))
  (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))
  (log (/ (cbrt (+ N 1.0)) (cbrt N)))
  (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))
  (log (/ (cbrt (+ N 1.0)) (sqrt N)))
  (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))
  (log (/ (cbrt (+ N 1.0)) N))
  (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))
  (log (/ (sqrt (+ N 1.0)) (cbrt N)))
  (log (/ (sqrt (+ N 1.0)) (sqrt N)))
  (log (/ (sqrt (+ N 1.0)) (sqrt N)))
  (log (/ (sqrt (+ N 1.0)) 1))
  (log (/ (sqrt (+ N 1.0)) N))
  (log (/ 1 (* (cbrt N) (cbrt N))))
  (log (/ (+ N 1.0) (cbrt N)))
  (log (/ 1 (sqrt N)))
  (log (/ (+ N 1.0) (sqrt N)))
  (log (/ 1 1))
  (log (/ (+ N 1.0) N))
  (log (/ 1 (* (cbrt N) (cbrt N))))
  (log (/ (+ N 1.0) (cbrt N)))
  (log (/ 1 (sqrt N)))
  (log (/ (+ N 1.0) (sqrt N)))
  (log (/ 1 1))
  (log (/ (+ N 1.0) N))
  (log 1)
  (log (/ (+ N 1.0) N))
  (log (+ N 1.0))
  (log (/ 1 N))
  (log (+ N 1.0))
  (log N)
  (log (/ (+ N 1.0) N))
  (log (log (/ (+ N 1.0) N)))
  (exp (log (/ (+ N 1.0) N)))
  (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))
  (cbrt (log (/ (+ N 1.0) N)))
  (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)))
  (sqrt (log (/ (+ N 1.0) N)))
  (sqrt (log (/ (+ N 1.0) N)))
  (- (log (+ N 1.0)) (log N))
  (log (/ (+ N 1.0) N))
  (exp (/ (+ N 1.0) N))
  (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N))
  (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))
  (cbrt (/ (+ N 1.0) N))
  (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N))
  (sqrt (/ (+ N 1.0) N))
  (sqrt (/ (+ N 1.0) N))
  (- (+ N 1.0))
  (- N)
  (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))
  (/ (cbrt (+ N 1.0)) (cbrt N))
  (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))
  (/ (cbrt (+ N 1.0)) (sqrt N))
  (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)
  (/ (cbrt (+ N 1.0)) N)
  (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))
  (/ (sqrt (+ N 1.0)) (cbrt N))
  (/ (sqrt (+ N 1.0)) (sqrt N))
  (/ (sqrt (+ N 1.0)) (sqrt N))
  (/ (sqrt (+ N 1.0)) 1)
  (/ (sqrt (+ N 1.0)) N)
  (/ 1 (* (cbrt N) (cbrt N)))
  (/ (+ N 1.0) (cbrt N))
  (/ 1 (sqrt N))
  (/ (+ N 1.0) (sqrt N))
  (/ 1 1)
  (/ (+ N 1.0) N)
  (/ 1 (* (cbrt N) (cbrt N)))
  (/ (+ N 1.0) (cbrt N))
  (/ 1 (sqrt N))
  (/ (+ N 1.0) (sqrt N))
  (/ 1 1)
  (/ (+ N 1.0) N)
  (/ 1 N)
  (/ N (+ N 1.0))
  (/ (+ N 1.0) (* (cbrt N) (cbrt N)))
  (/ (+ N 1.0) (sqrt N))
  (/ (+ N 1.0) 1)
  (/ N (cbrt (+ N 1.0)))
  (/ N (sqrt (+ N 1.0)))
  (/ N (+ N 1.0))
  (/ N (+ N 1.0))
  (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (* N (- N 1.0))
  (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (+ (* 1.0 (/ 1 N)) 1)
  (+ (* 1.0 (/ 1 N)) 1)
  (+ (* 1.0 (/ 1 N)) 1)
0.850 * [simplify]: Sending expressions to egg_math:
 (log (* (cbrt (/ (+ h0 1.0) h0)) (cbrt (/ (+ h0 1.0) h0))))
 (log (cbrt (/ (+ h0 1.0) h0)))
 (log (sqrt (/ (+ h0 1.0) h0)))
 (log (sqrt (/ (+ h0 1.0) h0)))
 (log (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (* (cbrt h0) (cbrt h0))))
 (log (/ (cbrt (+ h0 1.0)) (cbrt h0)))
 (log (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (sqrt h0)))
 (log (/ (cbrt (+ h0 1.0)) (sqrt h0)))
 (log (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) 1))
 (log (/ (cbrt (+ h0 1.0)) h0))
 (log (/ (sqrt (+ h0 1.0)) (* (cbrt h0) (cbrt h0))))
 (log (/ (sqrt (+ h0 1.0)) (cbrt h0)))
 (log (/ (sqrt (+ h0 1.0)) (sqrt h0)))
 (log (/ (sqrt (+ h0 1.0)) (sqrt h0)))
 (log (/ (sqrt (+ h0 1.0)) 1))
 (log (/ (sqrt (+ h0 1.0)) h0))
 (log (/ 1 (* (cbrt h0) (cbrt h0))))
 (log (/ (+ h0 1.0) (cbrt h0)))
 (log (/ 1 (sqrt h0)))
 (log (/ (+ h0 1.0) (sqrt h0)))
 (log (/ 1 1))
 (log (/ (+ h0 1.0) h0))
 (log (/ 1 (* (cbrt h0) (cbrt h0))))
 (log (/ (+ h0 1.0) (cbrt h0)))
 (log (/ 1 (sqrt h0)))
 (log (/ (+ h0 1.0) (sqrt h0)))
 (log (/ 1 1))
 (log (/ (+ h0 1.0) h0))
 (log 1)
 (log (/ (+ h0 1.0) h0))
 (log (+ h0 1.0))
 (log (/ 1 h0))
 (log (+ h0 1.0))
 (log h0)
 (log (/ (+ h0 1.0) h0))
 (log (log (/ (+ h0 1.0) h0)))
 (exp (log (/ (+ h0 1.0) h0)))
 (* (cbrt (log (/ (+ h0 1.0) h0))) (cbrt (log (/ (+ h0 1.0) h0))))
 (cbrt (log (/ (+ h0 1.0) h0)))
 (* (* (log (/ (+ h0 1.0) h0)) (log (/ (+ h0 1.0) h0))) (log (/ (+ h0 1.0) h0)))
 (sqrt (log (/ (+ h0 1.0) h0)))
 (sqrt (log (/ (+ h0 1.0) h0)))
 (- (log (+ h0 1.0)) (log h0))
 (log (/ (+ h0 1.0) h0))
 (exp (/ (+ h0 1.0) h0))
 (/ (* (* (+ h0 1.0) (+ h0 1.0)) (+ h0 1.0)) (* (* h0 h0) h0))
 (* (cbrt (/ (+ h0 1.0) h0)) (cbrt (/ (+ h0 1.0) h0)))
 (cbrt (/ (+ h0 1.0) h0))
 (* (* (/ (+ h0 1.0) h0) (/ (+ h0 1.0) h0)) (/ (+ h0 1.0) h0))
 (sqrt (/ (+ h0 1.0) h0))
 (sqrt (/ (+ h0 1.0) h0))
 (- (+ h0 1.0))
 (- h0)
 (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (* (cbrt h0) (cbrt h0)))
 (/ (cbrt (+ h0 1.0)) (cbrt h0))
 (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (sqrt h0))
 (/ (cbrt (+ h0 1.0)) (sqrt h0))
 (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) 1)
 (/ (cbrt (+ h0 1.0)) h0)
 (/ (sqrt (+ h0 1.0)) (* (cbrt h0) (cbrt h0)))
 (/ (sqrt (+ h0 1.0)) (cbrt h0))
 (/ (sqrt (+ h0 1.0)) (sqrt h0))
 (/ (sqrt (+ h0 1.0)) (sqrt h0))
 (/ (sqrt (+ h0 1.0)) 1)
 (/ (sqrt (+ h0 1.0)) h0)
 (/ 1 (* (cbrt h0) (cbrt h0)))
 (/ (+ h0 1.0) (cbrt h0))
 (/ 1 (sqrt h0))
 (/ (+ h0 1.0) (sqrt h0))
 (/ 1 1)
 (/ (+ h0 1.0) h0)
 (/ 1 (* (cbrt h0) (cbrt h0)))
 (/ (+ h0 1.0) (cbrt h0))
 (/ 1 (sqrt h0))
 (/ (+ h0 1.0) (sqrt h0))
 (/ 1 1)
 (/ (+ h0 1.0) h0)
 (/ 1 h0)
 (/ h0 (+ h0 1.0))
 (/ (+ h0 1.0) (* (cbrt h0) (cbrt h0)))
 (/ (+ h0 1.0) (sqrt h0))
 (/ (+ h0 1.0) 1)
 (/ h0 (cbrt (+ h0 1.0)))
 (/ h0 (sqrt (+ h0 1.0)))
 (/ h0 (+ h0 1.0))
 (/ h0 (+ h0 1.0))
 (* h0 (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0))))
 (* h0 (- h0 1.0))
 (- (+ (* 1.0 h0) (log 1.0)) (+ (* (/ 1 2) (/ (pow h0 2) (pow 1.0 2))) (log h0)))
 (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2))))
 (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2))))
 (+ (* 1.0 (/ 1 h0)) 1)
 (+ (* 1.0 (/ 1 h0)) 1)
 (+ (* 1.0 (/ 1 h0)) 1)
0.919 * * * [progress]: adding candidates to table
1.092 * * [progress]: iteration 3 / 4
1.092 * * * [progress]: picking best candidate
1.100 * * * * [pick]: Picked  #<alt (λ (N) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))>
1.100 * * * [progress]: localizing error
1.109 * * * [progress]: generating rewritten candidates
1.110 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
1.131 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.190 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
1.201 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
1.221 * * * [progress]: generating series expansions
1.221 * * * * [progress]: [ 1 / 4 ] generating series at (2)
1.222 * [backup-simplify]: Simplify (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) into (log (/ (+ N 1.0) N))
1.222 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0
1.222 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N
1.222 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
1.222 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.222 * [taylor]: Taking taylor expansion of N in N
1.222 * [backup-simplify]: Simplify 0 into 0
1.222 * [backup-simplify]: Simplify 1 into 1
1.222 * [taylor]: Taking taylor expansion of 1.0 in N
1.222 * [backup-simplify]: Simplify 1.0 into 1.0
1.222 * [taylor]: Taking taylor expansion of N in N
1.222 * [backup-simplify]: Simplify 0 into 0
1.222 * [backup-simplify]: Simplify 1 into 1
1.223 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.223 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
1.223 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
1.223 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N
1.223 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
1.223 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.223 * [taylor]: Taking taylor expansion of N in N
1.223 * [backup-simplify]: Simplify 0 into 0
1.223 * [backup-simplify]: Simplify 1 into 1
1.223 * [taylor]: Taking taylor expansion of 1.0 in N
1.223 * [backup-simplify]: Simplify 1.0 into 1.0
1.223 * [taylor]: Taking taylor expansion of N in N
1.223 * [backup-simplify]: Simplify 0 into 0
1.223 * [backup-simplify]: Simplify 1 into 1
1.224 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.224 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
1.224 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
1.226 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N))
1.226 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N))
1.226 * [backup-simplify]: Simplify (+ 1 0) into 1
1.227 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1
1.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
1.235 * [backup-simplify]: Simplify 1.0 into 1.0
1.235 * [backup-simplify]: Simplify (+ 0 0) into 0
1.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0
1.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
1.243 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2))
1.244 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
1.245 * [backup-simplify]: Simplify (log (* (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (* N (+ (/ 1 N) 1.0)))
1.245 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0
1.245 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N
1.245 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
1.245 * [taylor]: Taking taylor expansion of N in N
1.245 * [backup-simplify]: Simplify 0 into 0
1.245 * [backup-simplify]: Simplify 1 into 1
1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.245 * [taylor]: Taking taylor expansion of N in N
1.245 * [backup-simplify]: Simplify 0 into 0
1.245 * [backup-simplify]: Simplify 1 into 1
1.245 * [backup-simplify]: Simplify (/ 1 1) into 1
1.245 * [taylor]: Taking taylor expansion of 1.0 in N
1.245 * [backup-simplify]: Simplify 1.0 into 1.0
1.246 * [backup-simplify]: Simplify (+ 1 0) into 1
1.246 * [backup-simplify]: Simplify (* 0 1) into 0
1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.247 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.247 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
1.248 * [backup-simplify]: Simplify (log 1) into 0
1.248 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N
1.248 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
1.248 * [taylor]: Taking taylor expansion of N in N
1.248 * [backup-simplify]: Simplify 0 into 0
1.248 * [backup-simplify]: Simplify 1 into 1
1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.248 * [taylor]: Taking taylor expansion of N in N
1.248 * [backup-simplify]: Simplify 0 into 0
1.248 * [backup-simplify]: Simplify 1 into 1
1.248 * [backup-simplify]: Simplify (/ 1 1) into 1
1.248 * [taylor]: Taking taylor expansion of 1.0 in N
1.248 * [backup-simplify]: Simplify 1.0 into 1.0
1.248 * [backup-simplify]: Simplify (+ 1 0) into 1
1.249 * [backup-simplify]: Simplify (* 0 1) into 0
1.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.249 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.250 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
1.250 * [backup-simplify]: Simplify (log 1) into 0
1.250 * [backup-simplify]: Simplify 0 into 0
1.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.251 * [backup-simplify]: Simplify (+ 0 0) into 0
1.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0
1.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
1.256 * [backup-simplify]: Simplify 1.0 into 1.0
1.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.257 * [backup-simplify]: Simplify (+ 0 0) into 0
1.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0
1.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
1.264 * [backup-simplify]: Simplify -0.5 into -0.5
1.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.265 * [backup-simplify]: Simplify (+ 0 0) into 0
1.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0
1.276 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333
1.276 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
1.276 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
1.276 * [backup-simplify]: Simplify (log (* (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2))
1.276 * [approximate]: Taking taylor expansion of (log (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in (N) around 0
1.276 * [taylor]: Taking taylor expansion of (log (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N
1.276 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N
1.277 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N
1.277 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
1.277 * [taylor]: Taking taylor expansion of -1 in N
1.277 * [backup-simplify]: Simplify -1 into -1
1.277 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
1.277 * [taylor]: Taking taylor expansion of N in N
1.277 * [backup-simplify]: Simplify 0 into 0
1.277 * [backup-simplify]: Simplify 1 into 1
1.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.277 * [taylor]: Taking taylor expansion of 1.0 in N
1.277 * [backup-simplify]: Simplify 1.0 into 1.0
1.277 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.277 * [taylor]: Taking taylor expansion of N in N
1.277 * [backup-simplify]: Simplify 0 into 0
1.277 * [backup-simplify]: Simplify 1 into 1
1.277 * [backup-simplify]: Simplify (/ 1 1) into 1
1.277 * [backup-simplify]: Simplify (- 1) into -1
1.278 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.278 * [backup-simplify]: Simplify (* 0 -1) into 0
1.278 * [backup-simplify]: Simplify (* -1 0) into 0
1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.279 * [backup-simplify]: Simplify (- 0) into 0
1.279 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.279 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
1.280 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
1.280 * [backup-simplify]: Simplify (sqrt 1) into 1
1.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.281 * [backup-simplify]: Simplify (- 0) into 0
1.281 * [backup-simplify]: Simplify (+ 0 0) into 0
1.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0
1.284 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0)
1.286 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
1.287 * [backup-simplify]: Simplify (* 1 1) into 1
1.287 * [backup-simplify]: Simplify (log 1) into 0
1.287 * [taylor]: Taking taylor expansion of (log (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N
1.287 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N
1.287 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N
1.287 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
1.287 * [taylor]: Taking taylor expansion of -1 in N
1.288 * [backup-simplify]: Simplify -1 into -1
1.288 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
1.288 * [taylor]: Taking taylor expansion of N in N
1.288 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify 1 into 1
1.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.288 * [taylor]: Taking taylor expansion of 1.0 in N
1.288 * [backup-simplify]: Simplify 1.0 into 1.0
1.288 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.288 * [taylor]: Taking taylor expansion of N in N
1.288 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify 1 into 1
1.288 * [backup-simplify]: Simplify (/ 1 1) into 1
1.289 * [backup-simplify]: Simplify (- 1) into -1
1.289 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.289 * [backup-simplify]: Simplify (* 0 -1) into 0
1.290 * [backup-simplify]: Simplify (* -1 0) into 0
1.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.291 * [backup-simplify]: Simplify (- 0) into 0
1.292 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.292 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
1.293 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
1.293 * [backup-simplify]: Simplify (sqrt 1) into 1
1.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.295 * [backup-simplify]: Simplify (- 0) into 0
1.295 * [backup-simplify]: Simplify (+ 0 0) into 0
1.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0
1.301 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0)
1.302 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
1.303 * [backup-simplify]: Simplify (* 1 1) into 1
1.303 * [backup-simplify]: Simplify (log 1) into 0
1.303 * [backup-simplify]: Simplify 0 into 0
1.305 * [backup-simplify]: Simplify (+ (* 1 -0.5) (* -0.5 1)) into (- 1.0)
1.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0
1.313 * [backup-simplify]: Simplify -1.0 into -1.0
1.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.315 * [backup-simplify]: Simplify (- 0) into 0
1.316 * [backup-simplify]: Simplify (+ 0 0) into 0
1.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0
1.318 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0
1.322 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125
1.325 * [backup-simplify]: Simplify (+ (* 1 -0.125) (+ (* -0.5 -0.5) (* -0.125 1))) into 0
1.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
1.337 * [backup-simplify]: Simplify -0.5 into -0.5
1.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.338 * [backup-simplify]: Simplify (- 0) into 0
1.338 * [backup-simplify]: Simplify (+ 0 0) into 0
1.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
1.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0
1.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625
1.348 * [backup-simplify]: Simplify (+ (* 1 -0.0625) (+ (* -0.5 -0.125) (+ (* -0.125 -0.5) (* -0.0625 1)))) into 0
1.359 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333
1.359 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333
1.360 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
1.360 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1.360 * [backup-simplify]: Simplify (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) into (/ (+ N 1.0) N)
1.360 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0
1.360 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
1.360 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.360 * [taylor]: Taking taylor expansion of N in N
1.360 * [backup-simplify]: Simplify 0 into 0
1.360 * [backup-simplify]: Simplify 1 into 1
1.360 * [taylor]: Taking taylor expansion of 1.0 in N
1.360 * [backup-simplify]: Simplify 1.0 into 1.0
1.360 * [taylor]: Taking taylor expansion of N in N
1.360 * [backup-simplify]: Simplify 0 into 0
1.360 * [backup-simplify]: Simplify 1 into 1
1.360 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.361 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
1.361 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
1.361 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.361 * [taylor]: Taking taylor expansion of N in N
1.361 * [backup-simplify]: Simplify 0 into 0
1.361 * [backup-simplify]: Simplify 1 into 1
1.361 * [taylor]: Taking taylor expansion of 1.0 in N
1.361 * [backup-simplify]: Simplify 1.0 into 1.0
1.361 * [taylor]: Taking taylor expansion of N in N
1.361 * [backup-simplify]: Simplify 0 into 0
1.361 * [backup-simplify]: Simplify 1 into 1
1.361 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.362 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
1.362 * [backup-simplify]: Simplify 1.0 into 1.0
1.362 * [backup-simplify]: Simplify (+ 1 0) into 1
1.362 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1
1.363 * [backup-simplify]: Simplify 1 into 1
1.363 * [backup-simplify]: Simplify (+ 0 0) into 0
1.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0
1.363 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify (+ 0 0) into 0
1.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.364 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify (+ 0 0) into 0
1.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.365 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify (+ 0 0) into 0
1.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.366 * [backup-simplify]: Simplify 0 into 0
1.366 * [backup-simplify]: Simplify (+ 0 0) into 0
1.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.367 * [backup-simplify]: Simplify 0 into 0
1.367 * [backup-simplify]: Simplify (+ 0 0) into 0
1.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.368 * [backup-simplify]: Simplify 0 into 0
1.368 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1)
1.369 * [backup-simplify]: Simplify (* (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (* N (+ (/ 1 N) 1.0))
1.369 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0
1.369 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
1.369 * [taylor]: Taking taylor expansion of N in N
1.369 * [backup-simplify]: Simplify 0 into 0
1.369 * [backup-simplify]: Simplify 1 into 1
1.369 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.369 * [taylor]: Taking taylor expansion of N in N
1.369 * [backup-simplify]: Simplify 0 into 0
1.369 * [backup-simplify]: Simplify 1 into 1
1.369 * [backup-simplify]: Simplify (/ 1 1) into 1
1.369 * [taylor]: Taking taylor expansion of 1.0 in N
1.369 * [backup-simplify]: Simplify 1.0 into 1.0
1.369 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
1.369 * [taylor]: Taking taylor expansion of N in N
1.369 * [backup-simplify]: Simplify 0 into 0
1.369 * [backup-simplify]: Simplify 1 into 1
1.369 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.369 * [taylor]: Taking taylor expansion of N in N
1.370 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify 1 into 1
1.370 * [backup-simplify]: Simplify (/ 1 1) into 1
1.370 * [taylor]: Taking taylor expansion of 1.0 in N
1.370 * [backup-simplify]: Simplify 1.0 into 1.0
1.370 * [backup-simplify]: Simplify (+ 1 0) into 1
1.371 * [backup-simplify]: Simplify (* 0 1) into 0
1.371 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.372 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.372 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
1.372 * [backup-simplify]: Simplify 1 into 1
1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.374 * [backup-simplify]: Simplify (+ 0 0) into 0
1.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0
1.376 * [backup-simplify]: Simplify 1.0 into 1.0
1.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.377 * [backup-simplify]: Simplify (+ 0 0) into 0
1.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0
1.378 * [backup-simplify]: Simplify 0 into 0
1.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.379 * [backup-simplify]: Simplify (+ 0 0) into 0
1.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0
1.379 * [backup-simplify]: Simplify 0 into 0
1.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.380 * [backup-simplify]: Simplify (+ 0 0) into 0
1.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.382 * [backup-simplify]: Simplify (+ 0 0) into 0
1.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [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
1.384 * [backup-simplify]: Simplify (+ 0 0) into 0
1.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0
1.385 * [backup-simplify]: Simplify 0 into 0
1.385 * [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
1.386 * [backup-simplify]: Simplify (+ 0 0) into 0
1.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1)
1.388 * [backup-simplify]: Simplify (* (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2)
1.388 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in (N) around 0
1.388 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N
1.388 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N
1.388 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
1.388 * [taylor]: Taking taylor expansion of -1 in N
1.388 * [backup-simplify]: Simplify -1 into -1
1.388 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
1.388 * [taylor]: Taking taylor expansion of N in N
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 1 into 1
1.388 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.388 * [taylor]: Taking taylor expansion of 1.0 in N
1.388 * [backup-simplify]: Simplify 1.0 into 1.0
1.388 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.388 * [taylor]: Taking taylor expansion of N in N
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 1 into 1
1.389 * [backup-simplify]: Simplify (/ 1 1) into 1
1.389 * [backup-simplify]: Simplify (- 1) into -1
1.389 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.390 * [backup-simplify]: Simplify (* 0 -1) into 0
1.390 * [backup-simplify]: Simplify (* -1 0) into 0
1.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.391 * [backup-simplify]: Simplify (- 0) into 0
1.391 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.391 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
1.392 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
1.392 * [backup-simplify]: Simplify (sqrt 1) into 1
1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.393 * [backup-simplify]: Simplify (- 0) into 0
1.393 * [backup-simplify]: Simplify (+ 0 0) into 0
1.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0
1.396 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0)
1.397 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
1.397 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N
1.397 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N
1.397 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
1.397 * [taylor]: Taking taylor expansion of -1 in N
1.397 * [backup-simplify]: Simplify -1 into -1
1.397 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
1.397 * [taylor]: Taking taylor expansion of N in N
1.397 * [backup-simplify]: Simplify 0 into 0
1.397 * [backup-simplify]: Simplify 1 into 1
1.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.397 * [taylor]: Taking taylor expansion of 1.0 in N
1.397 * [backup-simplify]: Simplify 1.0 into 1.0
1.397 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.397 * [taylor]: Taking taylor expansion of N in N
1.397 * [backup-simplify]: Simplify 0 into 0
1.397 * [backup-simplify]: Simplify 1 into 1
1.397 * [backup-simplify]: Simplify (/ 1 1) into 1
1.398 * [backup-simplify]: Simplify (- 1) into -1
1.398 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.398 * [backup-simplify]: Simplify (* 0 -1) into 0
1.399 * [backup-simplify]: Simplify (* -1 0) into 0
1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.399 * [backup-simplify]: Simplify (- 0) into 0
1.399 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.400 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
1.400 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
1.401 * [backup-simplify]: Simplify (sqrt 1) into 1
1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.401 * [backup-simplify]: Simplify (- 0) into 0
1.402 * [backup-simplify]: Simplify (+ 0 0) into 0
1.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0
1.404 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0)
1.405 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
1.406 * [backup-simplify]: Simplify (* 1 1) into 1
1.406 * [backup-simplify]: Simplify 1 into 1
1.407 * [backup-simplify]: Simplify (+ (* 1 -0.5) (* -0.5 1)) into (- 1.0)
1.407 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.408 * [backup-simplify]: Simplify (- 0) into 0
1.408 * [backup-simplify]: Simplify (+ 0 0) into 0
1.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0
1.409 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0
1.411 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125
1.413 * [backup-simplify]: Simplify (+ (* 1 -0.125) (+ (* -0.5 -0.5) (* -0.125 1))) into 0
1.413 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.414 * [backup-simplify]: Simplify (- 0) into 0
1.414 * [backup-simplify]: Simplify (+ 0 0) into 0
1.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
1.416 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0
1.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625
1.421 * [backup-simplify]: Simplify (+ (* 1 -0.0625) (+ (* -0.5 -0.125) (+ (* -0.125 -0.5) (* -0.0625 1)))) into 0
1.421 * [backup-simplify]: Simplify 0 into 0
1.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.422 * [backup-simplify]: Simplify (- 0) into 0
1.422 * [backup-simplify]: Simplify (+ 0 0) into 0
1.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
1.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0
1.427 * [backup-simplify]: Simplify (/ (- 0 (pow -0.125 2) (+ (* 2 (* -0.5 -0.0625)))) (* 2 1)) into -0.0390625
1.432 * [backup-simplify]: Simplify (+ (* 1 -0.0390625) (+ (* -0.5 -0.0625) (+ (* -0.125 -0.125) (+ (* -0.0625 -0.5) (* -0.0390625 1))))) into 0
1.432 * [backup-simplify]: Simplify 0 into 0
1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.433 * [backup-simplify]: Simplify (- 0) into 0
1.433 * [backup-simplify]: Simplify (+ 0 0) into 0
1.434 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
1.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0
1.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.0390625)) (* 2 (* -0.125 -0.0625)))) (* 2 1)) into -0.02734375
1.448 * [backup-simplify]: Simplify (+ (* 1 -0.02734375) (+ (* -0.5 -0.0390625) (+ (* -0.125 -0.0625) (+ (* -0.0625 -0.125) (+ (* -0.0390625 -0.5) (* -0.02734375 1)))))) into 0
1.449 * [backup-simplify]: Simplify 0 into 0
1.449 * [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
1.449 * [backup-simplify]: Simplify (- 0) into 0
1.450 * [backup-simplify]: Simplify (+ 0 0) into 0
1.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
1.452 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0
1.457 * [backup-simplify]: Simplify (/ (- 0 (pow -0.0625 2) (+ (* 2 (* -0.5 -0.02734375)) (* 2 (* -0.125 -0.0390625)))) (* 2 1)) into -0.0205078125
1.472 * [backup-simplify]: Simplify (+ (* 1 -0.0205078125) (+ (* -0.5 -0.02734375) (+ (* -0.125 -0.0390625) (+ (* -0.0625 -0.0625) (+ (* -0.0390625 -0.125) (+ (* -0.02734375 -0.5) (* -0.0205078125 1))))))) into 0
1.472 * [backup-simplify]: Simplify 0 into 0
1.473 * [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
1.473 * [backup-simplify]: Simplify (- 0) into 0
1.474 * [backup-simplify]: Simplify (+ 0 0) into 0
1.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0
1.479 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0
1.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.0205078125)) (* 2 (* -0.125 -0.02734375)) (* 2 (* -0.0625 -0.0390625)))) (* 2 1)) into -0.01611328125
1.504 * [backup-simplify]: Simplify (+ (* 1 -0.01611328125) (+ (* -0.5 -0.0205078125) (+ (* -0.125 -0.02734375) (+ (* -0.0625 -0.0390625) (+ (* -0.0390625 -0.0625) (+ (* -0.02734375 -0.125) (+ (* -0.0205078125 -0.5) (* -0.01611328125 1)))))))) into 0
1.504 * [backup-simplify]: Simplify 0 into 0
1.505 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1)
1.505 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
1.505 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N))
1.505 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0
1.505 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N
1.505 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
1.505 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.505 * [taylor]: Taking taylor expansion of N in N
1.505 * [backup-simplify]: Simplify 0 into 0
1.505 * [backup-simplify]: Simplify 1 into 1
1.505 * [taylor]: Taking taylor expansion of 1.0 in N
1.506 * [backup-simplify]: Simplify 1.0 into 1.0
1.506 * [taylor]: Taking taylor expansion of N in N
1.506 * [backup-simplify]: Simplify 0 into 0
1.506 * [backup-simplify]: Simplify 1 into 1
1.506 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.506 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
1.507 * [backup-simplify]: Simplify (sqrt 0) into 0
1.508 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0
1.508 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N
1.508 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
1.508 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.508 * [taylor]: Taking taylor expansion of N in N
1.508 * [backup-simplify]: Simplify 0 into 0
1.508 * [backup-simplify]: Simplify 1 into 1
1.508 * [taylor]: Taking taylor expansion of 1.0 in N
1.508 * [backup-simplify]: Simplify 1.0 into 1.0
1.508 * [taylor]: Taking taylor expansion of N in N
1.508 * [backup-simplify]: Simplify 0 into 0
1.508 * [backup-simplify]: Simplify 1 into 1
1.508 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.508 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
1.509 * [backup-simplify]: Simplify (sqrt 0) into 0
1.510 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0
1.510 * [backup-simplify]: Simplify 0 into 0
1.510 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.510 * [backup-simplify]: Simplify (+ 1 0) into 1
1.510 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1
1.512 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.512 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.513 * [backup-simplify]: Simplify (+ 0 0) into 0
1.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0
1.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.515 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.516 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0)))))
1.516 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0)))
1.516 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0
1.516 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N
1.516 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
1.516 * [taylor]: Taking taylor expansion of N in N
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify 1 into 1
1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.516 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.516 * [taylor]: Taking taylor expansion of N in N
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify 1 into 1
1.516 * [backup-simplify]: Simplify (/ 1 1) into 1
1.516 * [taylor]: Taking taylor expansion of 1.0 in N
1.516 * [backup-simplify]: Simplify 1.0 into 1.0
1.517 * [backup-simplify]: Simplify (+ 1 0) into 1
1.517 * [backup-simplify]: Simplify (* 0 1) into 0
1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.518 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.518 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
1.518 * [backup-simplify]: Simplify (sqrt 1) into 1
1.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.519 * [backup-simplify]: Simplify (+ 0 0) into 0
1.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0
1.521 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
1.521 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N
1.521 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
1.522 * [taylor]: Taking taylor expansion of N in N
1.522 * [backup-simplify]: Simplify 0 into 0
1.522 * [backup-simplify]: Simplify 1 into 1
1.522 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.522 * [taylor]: Taking taylor expansion of N in N
1.522 * [backup-simplify]: Simplify 0 into 0
1.522 * [backup-simplify]: Simplify 1 into 1
1.522 * [backup-simplify]: Simplify (/ 1 1) into 1
1.522 * [taylor]: Taking taylor expansion of 1.0 in N
1.522 * [backup-simplify]: Simplify 1.0 into 1.0
1.522 * [backup-simplify]: Simplify (+ 1 0) into 1
1.522 * [backup-simplify]: Simplify (* 0 1) into 0
1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.523 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.523 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
1.524 * [backup-simplify]: Simplify (sqrt 1) into 1
1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.524 * [backup-simplify]: Simplify (+ 0 0) into 0
1.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0
1.527 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
1.527 * [backup-simplify]: Simplify 1 into 1
1.527 * [backup-simplify]: Simplify 0.5 into 0.5
1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.528 * [backup-simplify]: Simplify (+ 0 0) into 0
1.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0
1.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125
1.530 * [backup-simplify]: Simplify -0.125 into -0.125
1.530 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2))))
1.531 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))
1.531 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0
1.531 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N
1.531 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
1.531 * [taylor]: Taking taylor expansion of -1 in N
1.531 * [backup-simplify]: Simplify -1 into -1
1.531 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
1.531 * [taylor]: Taking taylor expansion of N in N
1.531 * [backup-simplify]: Simplify 0 into 0
1.531 * [backup-simplify]: Simplify 1 into 1
1.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.531 * [taylor]: Taking taylor expansion of 1.0 in N
1.531 * [backup-simplify]: Simplify 1.0 into 1.0
1.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.531 * [taylor]: Taking taylor expansion of N in N
1.531 * [backup-simplify]: Simplify 0 into 0
1.531 * [backup-simplify]: Simplify 1 into 1
1.531 * [backup-simplify]: Simplify (/ 1 1) into 1
1.531 * [backup-simplify]: Simplify (- 1) into -1
1.532 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.532 * [backup-simplify]: Simplify (* 0 -1) into 0
1.532 * [backup-simplify]: Simplify (* -1 0) into 0
1.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.533 * [backup-simplify]: Simplify (- 0) into 0
1.534 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.535 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
1.535 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
1.536 * [backup-simplify]: Simplify (sqrt 1) into 1
1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.537 * [backup-simplify]: Simplify (- 0) into 0
1.537 * [backup-simplify]: Simplify (+ 0 0) into 0
1.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0
1.543 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0)
1.544 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
1.544 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N
1.544 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
1.545 * [taylor]: Taking taylor expansion of -1 in N
1.545 * [backup-simplify]: Simplify -1 into -1
1.545 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
1.545 * [taylor]: Taking taylor expansion of N in N
1.545 * [backup-simplify]: Simplify 0 into 0
1.545 * [backup-simplify]: Simplify 1 into 1
1.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.545 * [taylor]: Taking taylor expansion of 1.0 in N
1.545 * [backup-simplify]: Simplify 1.0 into 1.0
1.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.545 * [taylor]: Taking taylor expansion of N in N
1.545 * [backup-simplify]: Simplify 0 into 0
1.545 * [backup-simplify]: Simplify 1 into 1
1.545 * [backup-simplify]: Simplify (/ 1 1) into 1
1.546 * [backup-simplify]: Simplify (- 1) into -1
1.546 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.546 * [backup-simplify]: Simplify (* 0 -1) into 0
1.547 * [backup-simplify]: Simplify (* -1 0) into 0
1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.553 * [backup-simplify]: Simplify (- 0) into 0
1.553 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.554 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
1.555 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
1.555 * [backup-simplify]: Simplify (sqrt 1) into 1
1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.557 * [backup-simplify]: Simplify (- 0) into 0
1.557 * [backup-simplify]: Simplify (+ 0 0) into 0
1.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0
1.564 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0)
1.566 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
1.566 * [backup-simplify]: Simplify 1 into 1
1.566 * [backup-simplify]: Simplify -0.5 into -0.5
1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.568 * [backup-simplify]: Simplify (- 0) into 0
1.568 * [backup-simplify]: Simplify (+ 0 0) into 0
1.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0
1.571 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0
1.574 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125
1.574 * [backup-simplify]: Simplify -0.125 into -0.125
1.575 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2))))
1.575 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
1.575 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N))
1.575 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0
1.575 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N
1.575 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
1.575 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.575 * [taylor]: Taking taylor expansion of N in N
1.575 * [backup-simplify]: Simplify 0 into 0
1.575 * [backup-simplify]: Simplify 1 into 1
1.575 * [taylor]: Taking taylor expansion of 1.0 in N
1.575 * [backup-simplify]: Simplify 1.0 into 1.0
1.576 * [taylor]: Taking taylor expansion of N in N
1.576 * [backup-simplify]: Simplify 0 into 0
1.576 * [backup-simplify]: Simplify 1 into 1
1.576 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.577 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
1.577 * [backup-simplify]: Simplify (sqrt 0) into 0
1.578 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0
1.579 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N
1.579 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
1.579 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.579 * [taylor]: Taking taylor expansion of N in N
1.579 * [backup-simplify]: Simplify 0 into 0
1.579 * [backup-simplify]: Simplify 1 into 1
1.579 * [taylor]: Taking taylor expansion of 1.0 in N
1.579 * [backup-simplify]: Simplify 1.0 into 1.0
1.579 * [taylor]: Taking taylor expansion of N in N
1.579 * [backup-simplify]: Simplify 0 into 0
1.579 * [backup-simplify]: Simplify 1 into 1
1.579 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.580 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
1.580 * [backup-simplify]: Simplify (sqrt 0) into 0
1.582 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0
1.582 * [backup-simplify]: Simplify 0 into 0
1.582 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.582 * [backup-simplify]: Simplify (+ 1 0) into 1
1.583 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1
1.586 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.587 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.587 * [backup-simplify]: Simplify (+ 0 0) into 0
1.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0
1.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.592 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.593 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0)))))
1.593 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0)))
1.593 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0
1.593 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N
1.593 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
1.593 * [taylor]: Taking taylor expansion of N in N
1.593 * [backup-simplify]: Simplify 0 into 0
1.593 * [backup-simplify]: Simplify 1 into 1
1.593 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.593 * [taylor]: Taking taylor expansion of N in N
1.593 * [backup-simplify]: Simplify 0 into 0
1.593 * [backup-simplify]: Simplify 1 into 1
1.594 * [backup-simplify]: Simplify (/ 1 1) into 1
1.594 * [taylor]: Taking taylor expansion of 1.0 in N
1.594 * [backup-simplify]: Simplify 1.0 into 1.0
1.594 * [backup-simplify]: Simplify (+ 1 0) into 1
1.595 * [backup-simplify]: Simplify (* 0 1) into 0
1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.596 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.597 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
1.597 * [backup-simplify]: Simplify (sqrt 1) into 1
1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.599 * [backup-simplify]: Simplify (+ 0 0) into 0
1.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0
1.603 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
1.603 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N
1.603 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
1.603 * [taylor]: Taking taylor expansion of N in N
1.603 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify 1 into 1
1.603 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.603 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.603 * [taylor]: Taking taylor expansion of N in N
1.603 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify 1 into 1
1.604 * [backup-simplify]: Simplify (/ 1 1) into 1
1.604 * [taylor]: Taking taylor expansion of 1.0 in N
1.604 * [backup-simplify]: Simplify 1.0 into 1.0
1.604 * [backup-simplify]: Simplify (+ 1 0) into 1
1.605 * [backup-simplify]: Simplify (* 0 1) into 0
1.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.606 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.607 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
1.607 * [backup-simplify]: Simplify (sqrt 1) into 1
1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.609 * [backup-simplify]: Simplify (+ 0 0) into 0
1.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0
1.615 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
1.615 * [backup-simplify]: Simplify 1 into 1
1.615 * [backup-simplify]: Simplify 0.5 into 0.5
1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.617 * [backup-simplify]: Simplify (+ 0 0) into 0
1.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0
1.622 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125
1.622 * [backup-simplify]: Simplify -0.125 into -0.125
1.622 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2))))
1.622 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))
1.622 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0
1.622 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N
1.622 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
1.622 * [taylor]: Taking taylor expansion of -1 in N
1.622 * [backup-simplify]: Simplify -1 into -1
1.622 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
1.622 * [taylor]: Taking taylor expansion of N in N
1.622 * [backup-simplify]: Simplify 0 into 0
1.623 * [backup-simplify]: Simplify 1 into 1
1.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.623 * [taylor]: Taking taylor expansion of 1.0 in N
1.623 * [backup-simplify]: Simplify 1.0 into 1.0
1.623 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.623 * [taylor]: Taking taylor expansion of N in N
1.623 * [backup-simplify]: Simplify 0 into 0
1.623 * [backup-simplify]: Simplify 1 into 1
1.623 * [backup-simplify]: Simplify (/ 1 1) into 1
1.623 * [backup-simplify]: Simplify (- 1) into -1
1.624 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.624 * [backup-simplify]: Simplify (* 0 -1) into 0
1.625 * [backup-simplify]: Simplify (* -1 0) into 0
1.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.626 * [backup-simplify]: Simplify (- 0) into 0
1.626 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.627 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
1.628 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
1.628 * [backup-simplify]: Simplify (sqrt 1) into 1
1.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.629 * [backup-simplify]: Simplify (- 0) into 0
1.629 * [backup-simplify]: Simplify (+ 0 0) into 0
1.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0
1.635 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0)
1.636 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
1.637 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N
1.637 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
1.637 * [taylor]: Taking taylor expansion of -1 in N
1.637 * [backup-simplify]: Simplify -1 into -1
1.637 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
1.637 * [taylor]: Taking taylor expansion of N in N
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.637 * [taylor]: Taking taylor expansion of 1.0 in N
1.637 * [backup-simplify]: Simplify 1.0 into 1.0
1.637 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.637 * [taylor]: Taking taylor expansion of N in N
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [backup-simplify]: Simplify (/ 1 1) into 1
1.638 * [backup-simplify]: Simplify (- 1) into -1
1.638 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.638 * [backup-simplify]: Simplify (* 0 -1) into 0
1.639 * [backup-simplify]: Simplify (* -1 0) into 0
1.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.640 * [backup-simplify]: Simplify (- 0) into 0
1.640 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.641 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
1.642 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
1.642 * [backup-simplify]: Simplify (sqrt 1) into 1
1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.643 * [backup-simplify]: Simplify (- 0) into 0
1.644 * [backup-simplify]: Simplify (+ 0 0) into 0
1.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0
1.648 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0)
1.650 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
1.650 * [backup-simplify]: Simplify 1 into 1
1.650 * [backup-simplify]: Simplify -0.5 into -0.5
1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.651 * [backup-simplify]: Simplify (- 0) into 0
1.652 * [backup-simplify]: Simplify (+ 0 0) into 0
1.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0
1.654 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0
1.657 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125
1.657 * [backup-simplify]: Simplify -0.125 into -0.125
1.658 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2))))
1.658 * * * [progress]: simplifying candidates
1.663 * [simplify]: Simplifying:
  (log (sqrt (/ (+ N 1.0) N)))
  (log (sqrt (/ (+ N 1.0) N)))
  (log (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))))
  (log (* (sqrt N) (sqrt N)))
  (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0))))
  (log (sqrt N))
  (log (* (sqrt (+ N 1.0)) (sqrt (/ (+ N 1.0) N))))
  (log (sqrt N))
  (log (/ (+ N 1.0) N))
  (log (/ (+ N 1.0) N))
  (log (sqrt (/ (+ N 1.0) N)))
  (log (/ (+ N 1.0) N))
  (log (/ (+ N 1.0) N))
  (log (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)))
  (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))
  (log (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)))
  (log (sqrt (/ (+ N 1.0) N)))
  (log (sqrt (/ (+ N 1.0) N)))
  (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))
  (log (/ (+ N 1.0) N))
  (log (sqrt (/ (+ N 1.0) N)))
  (log (/ (+ N 1.0) N))
  (log (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))
  (exp (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))
  (* (cbrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (cbrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))))
  (cbrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))
  (* (* (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))
  (sqrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))
  (sqrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))
  (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))
  (+ 1 1)
  (+ (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))))
  (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))
  (exp (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))
  (* (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))))
  (* (cbrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (cbrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))
  (cbrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))
  (* (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))
  (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))
  (sqrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))
  (sqrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0)))
  (* (sqrt N) (sqrt N))
  (* (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))
  (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))
  (* (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))
  (* (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))
  (* (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))
  (* (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))
  (* (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))
  (* (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (cbrt (+ N 1.0)) N)))
  (* (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))
  (* (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))
  (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))
  (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))
  (* (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) 1)))
  (* (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)))
  (* (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ 1 (* (cbrt N) (cbrt N)))))
  (* (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))))
  (* (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ 1 (* (cbrt N) (cbrt N)))))
  (* (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))))
  (* (sqrt (/ 1 (sqrt N))) (sqrt (/ 1 (sqrt N))))
  (* (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))))
  (* (sqrt (/ 1 (sqrt N))) (sqrt (/ 1 (sqrt N))))
  (* (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))))
  (* (sqrt (/ 1 1)) (sqrt (/ 1 1)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ 1 1)) (sqrt (/ 1 1)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ 1 (* (cbrt N) (cbrt N)))))
  (* (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))))
  (* (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ 1 (* (cbrt N) (cbrt N)))))
  (* (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))))
  (* (sqrt (/ 1 (sqrt N))) (sqrt (/ 1 (sqrt N))))
  (* (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))))
  (* (sqrt (/ 1 (sqrt N))) (sqrt (/ 1 (sqrt N))))
  (* (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))))
  (* (sqrt (/ 1 1)) (sqrt (/ 1 1)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ 1 1)) (sqrt (/ 1 1)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0)))
  (* (sqrt (/ 1 N)) (sqrt (/ 1 N)))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* 1 1)
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))
  (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))
  (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (/ (+ N 1.0) N)) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (sqrt (+ N 1.0)) 1)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (sqrt N))))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 1)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (sqrt N))))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 1)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt 1))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (sqrt (/ (+ N 1.0) N))))
  (* (sqrt (/ (+ N 1.0) N)) 1)
  (* (cbrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ 1 N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))
  (* (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)))
  (* (sqrt (+ N 1.0)) (sqrt (/ (+ N 1.0) N)))
  (log (sqrt (/ (+ N 1.0) N)))
  (exp (sqrt (/ (+ N 1.0) N)))
  (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))
  (cbrt (sqrt (/ (+ N 1.0) N)))
  (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N)))
  (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))
  (sqrt (cbrt (/ (+ N 1.0) N)))
  (sqrt (sqrt (/ (+ N 1.0) N)))
  (sqrt (sqrt (/ (+ N 1.0) N)))
  (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))
  (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))
  (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))
  (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))
  (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))
  (sqrt (/ (cbrt (+ N 1.0)) N))
  (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))
  (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))
  (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))
  (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))
  (sqrt (/ (sqrt (+ N 1.0)) 1))
  (sqrt (/ (sqrt (+ N 1.0)) N))
  (sqrt (/ 1 (* (cbrt N) (cbrt N))))
  (sqrt (/ (+ N 1.0) (cbrt N)))
  (sqrt (/ 1 (sqrt N)))
  (sqrt (/ (+ N 1.0) (sqrt N)))
  (sqrt (/ 1 1))
  (sqrt (/ (+ N 1.0) N))
  (sqrt (/ 1 (* (cbrt N) (cbrt N))))
  (sqrt (/ (+ N 1.0) (cbrt N)))
  (sqrt (/ 1 (sqrt N)))
  (sqrt (/ (+ N 1.0) (sqrt N)))
  (sqrt (/ 1 1))
  (sqrt (/ (+ N 1.0) N))
  (sqrt 1)
  (sqrt (/ (+ N 1.0) N))
  (sqrt (+ N 1.0))
  (sqrt (/ 1 N))
  (sqrt (+ N 1.0))
  (sqrt N)
  (/ 1 2)
  (sqrt (sqrt (/ (+ N 1.0) N)))
  (sqrt (sqrt (/ (+ N 1.0) N)))
  (log (sqrt (/ (+ N 1.0) N)))
  (exp (sqrt (/ (+ N 1.0) N)))
  (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))
  (cbrt (sqrt (/ (+ N 1.0) N)))
  (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N)))
  (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))
  (sqrt (cbrt (/ (+ N 1.0) N)))
  (sqrt (sqrt (/ (+ N 1.0) N)))
  (sqrt (sqrt (/ (+ N 1.0) N)))
  (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))
  (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))
  (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))
  (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))
  (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))
  (sqrt (/ (cbrt (+ N 1.0)) N))
  (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))
  (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))
  (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))
  (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))
  (sqrt (/ (sqrt (+ N 1.0)) 1))
  (sqrt (/ (sqrt (+ N 1.0)) N))
  (sqrt (/ 1 (* (cbrt N) (cbrt N))))
  (sqrt (/ (+ N 1.0) (cbrt N)))
  (sqrt (/ 1 (sqrt N)))
  (sqrt (/ (+ N 1.0) (sqrt N)))
  (sqrt (/ 1 1))
  (sqrt (/ (+ N 1.0) N))
  (sqrt (/ 1 (* (cbrt N) (cbrt N))))
  (sqrt (/ (+ N 1.0) (cbrt N)))
  (sqrt (/ 1 (sqrt N)))
  (sqrt (/ (+ N 1.0) (sqrt N)))
  (sqrt (/ 1 1))
  (sqrt (/ (+ N 1.0) N))
  (sqrt 1)
  (sqrt (/ (+ N 1.0) N))
  (sqrt (+ N 1.0))
  (sqrt (/ 1 N))
  (sqrt (+ N 1.0))
  (sqrt N)
  (/ 1 2)
  (sqrt (sqrt (/ (+ N 1.0) N)))
  (sqrt (sqrt (/ (+ N 1.0) N)))
  (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (+ (* 1.0 (/ 1 N)) 1)
  (+ (* 1.0 (/ 1 N)) 1)
  (+ (* 1.0 (/ 1 N)) 1)
  (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0)))))
  (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2))))
  (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2))))
  (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0)))))
  (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2))))
  (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2))))
1.665 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (/ (+ h0 1.0) h0)))
 (log (sqrt (/ (+ h0 1.0) h0)))
 (log (* (sqrt (+ h0 1.0)) (sqrt (+ h0 1.0))))
 (log (* (sqrt h0) (sqrt h0)))
 (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (+ h0 1.0))))
 (log (sqrt h0))
 (log (* (sqrt (+ h0 1.0)) (sqrt (/ (+ h0 1.0) h0))))
 (log (sqrt h0))
 (log (/ (+ h0 1.0) h0))
 (log (/ (+ h0 1.0) h0))
 (log (sqrt (/ (+ h0 1.0) h0)))
 (log (/ (+ h0 1.0) h0))
 (log (/ (+ h0 1.0) h0))
 (log (* (/ (+ h0 1.0) h0) (/ (+ h0 1.0) h0)))
 (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))))
 (log (* (/ (+ h0 1.0) h0) (/ (+ h0 1.0) h0)))
 (log (sqrt (/ (+ h0 1.0) h0)))
 (log (sqrt (/ (+ h0 1.0) h0)))
 (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))))
 (log (/ (+ h0 1.0) h0))
 (log (sqrt (/ (+ h0 1.0) h0)))
 (log (/ (+ h0 1.0) h0))
 (log (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))))
 (exp (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))))
 (* (cbrt (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))))) (cbrt (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))))))
 (cbrt (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))))
 (* (* (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))) (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))))) (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))))
 (sqrt (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))))
 (sqrt (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))))
 (+ (/ 1 2) (/ 1 2))
 (+ (/ 1 2) (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) (/ 1 2))
 (+ (/ 1 2) (/ 1 2))
 (* (/ (+ h0 1.0) h0) (/ (+ h0 1.0) h0))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (/ (+ h0 1.0) h0) (/ (+ h0 1.0) h0))
 (+ 1 1)
 (+ (log (sqrt (/ (+ h0 1.0) h0))) (log (sqrt (/ (+ h0 1.0) h0))))
 (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))))
 (exp (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))))
 (* (* (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))) (sqrt (/ (+ h0 1.0) h0))) (* (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))) (sqrt (/ (+ h0 1.0) h0))))
 (* (cbrt (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))) (cbrt (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))))
 (cbrt (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))))
 (* (* (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))) (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))) (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))))
 (* (/ (+ h0 1.0) h0) (/ (+ h0 1.0) h0))
 (sqrt (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))))
 (sqrt (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (+ h0 1.0)) (sqrt (+ h0 1.0)))
 (* (sqrt h0) (sqrt h0))
 (* (* (cbrt (sqrt (/ (+ h0 1.0) h0))) (cbrt (sqrt (/ (+ h0 1.0) h0)))) (* (cbrt (sqrt (/ (+ h0 1.0) h0))) (cbrt (sqrt (/ (+ h0 1.0) h0)))))
 (* (cbrt (sqrt (/ (+ h0 1.0) h0))) (cbrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (* (cbrt (/ (+ h0 1.0) h0)) (cbrt (/ (+ h0 1.0) h0)))) (sqrt (* (cbrt (/ (+ h0 1.0) h0)) (cbrt (/ (+ h0 1.0) h0)))))
 (* (sqrt (cbrt (/ (+ h0 1.0) h0))) (sqrt (cbrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (* (cbrt h0) (cbrt h0)))) (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (* (cbrt h0) (cbrt h0)))))
 (* (sqrt (/ (cbrt (+ h0 1.0)) (cbrt h0))) (sqrt (/ (cbrt (+ h0 1.0)) (cbrt h0))))
 (* (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (sqrt h0))) (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (sqrt h0))))
 (* (sqrt (/ (cbrt (+ h0 1.0)) (sqrt h0))) (sqrt (/ (cbrt (+ h0 1.0)) (sqrt h0))))
 (* (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) 1)) (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) 1)))
 (* (sqrt (/ (cbrt (+ h0 1.0)) h0)) (sqrt (/ (cbrt (+ h0 1.0)) h0)))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (* (cbrt h0) (cbrt h0)))) (sqrt (/ (sqrt (+ h0 1.0)) (* (cbrt h0) (cbrt h0)))))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (cbrt h0))) (sqrt (/ (sqrt (+ h0 1.0)) (cbrt h0))))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))))
 (* (sqrt (/ (sqrt (+ h0 1.0)) 1)) (sqrt (/ (sqrt (+ h0 1.0)) 1)))
 (* (sqrt (/ (sqrt (+ h0 1.0)) h0)) (sqrt (/ (sqrt (+ h0 1.0)) h0)))
 (* (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))))
 (* (sqrt (/ (+ h0 1.0) (cbrt h0))) (sqrt (/ (+ h0 1.0) (cbrt h0))))
 (* (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))))
 (* (sqrt (/ (+ h0 1.0) (cbrt h0))) (sqrt (/ (+ h0 1.0) (cbrt h0))))
 (* (sqrt (/ 1 (sqrt h0))) (sqrt (/ 1 (sqrt h0))))
 (* (sqrt (/ (+ h0 1.0) (sqrt h0))) (sqrt (/ (+ h0 1.0) (sqrt h0))))
 (* (sqrt (/ 1 (sqrt h0))) (sqrt (/ 1 (sqrt h0))))
 (* (sqrt (/ (+ h0 1.0) (sqrt h0))) (sqrt (/ (+ h0 1.0) (sqrt h0))))
 (* (sqrt (/ 1 1)) (sqrt (/ 1 1)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ 1 1)) (sqrt (/ 1 1)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))))
 (* (sqrt (/ (+ h0 1.0) (cbrt h0))) (sqrt (/ (+ h0 1.0) (cbrt h0))))
 (* (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))))
 (* (sqrt (/ (+ h0 1.0) (cbrt h0))) (sqrt (/ (+ h0 1.0) (cbrt h0))))
 (* (sqrt (/ 1 (sqrt h0))) (sqrt (/ 1 (sqrt h0))))
 (* (sqrt (/ (+ h0 1.0) (sqrt h0))) (sqrt (/ (+ h0 1.0) (sqrt h0))))
 (* (sqrt (/ 1 (sqrt h0))) (sqrt (/ 1 (sqrt h0))))
 (* (sqrt (/ (+ h0 1.0) (sqrt h0))) (sqrt (/ (+ h0 1.0) (sqrt h0))))
 (* (sqrt (/ 1 1)) (sqrt (/ 1 1)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ 1 1)) (sqrt (/ 1 1)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (+ h0 1.0)) (sqrt (+ h0 1.0)))
 (* (sqrt (/ 1 h0)) (sqrt (/ 1 h0)))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* 1 1)
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* 2 (/ 1 2))
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (/ (+ h0 1.0) h0)) (* (cbrt (sqrt (/ (+ h0 1.0) h0))) (cbrt (sqrt (/ (+ h0 1.0) h0)))))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (* (cbrt (/ (+ h0 1.0) h0)) (cbrt (/ (+ h0 1.0) h0)))))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (* (cbrt h0) (cbrt h0)))))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (sqrt h0))))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) 1)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (sqrt (+ h0 1.0)) (* (cbrt h0) (cbrt h0)))))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (sqrt (+ h0 1.0)) 1)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ 1 (sqrt h0))))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ 1 1)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ 1 (sqrt h0))))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ 1 1)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt 1))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (+ h0 1.0)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (sqrt (/ (+ h0 1.0) h0))))
 (* (sqrt (/ (+ h0 1.0) h0)) 1)
 (* (cbrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (cbrt (/ (+ h0 1.0) h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (cbrt (+ h0 1.0)) (cbrt h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (cbrt (+ h0 1.0)) (sqrt h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (cbrt (+ h0 1.0)) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (cbrt h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (sqrt (+ h0 1.0)) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (+ h0 1.0) (cbrt h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (+ h0 1.0) (sqrt h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (+ h0 1.0) (cbrt h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (+ h0 1.0) (sqrt h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ 1 h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (sqrt (/ (+ h0 1.0) h0))) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))
 (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (+ h0 1.0)))
 (* (sqrt (+ h0 1.0)) (sqrt (/ (+ h0 1.0) h0)))
 (log (sqrt (/ (+ h0 1.0) h0)))
 (exp (sqrt (/ (+ h0 1.0) h0)))
 (* (cbrt (sqrt (/ (+ h0 1.0) h0))) (cbrt (sqrt (/ (+ h0 1.0) h0))))
 (cbrt (sqrt (/ (+ h0 1.0) h0)))
 (* (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))) (sqrt (/ (+ h0 1.0) h0)))
 (sqrt (* (cbrt (/ (+ h0 1.0) h0)) (cbrt (/ (+ h0 1.0) h0))))
 (sqrt (cbrt (/ (+ h0 1.0) h0)))
 (sqrt (sqrt (/ (+ h0 1.0) h0)))
 (sqrt (sqrt (/ (+ h0 1.0) h0)))
 (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (* (cbrt h0) (cbrt h0))))
 (sqrt (/ (cbrt (+ h0 1.0)) (cbrt h0)))
 (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (sqrt h0)))
 (sqrt (/ (cbrt (+ h0 1.0)) (sqrt h0)))
 (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) 1))
 (sqrt (/ (cbrt (+ h0 1.0)) h0))
 (sqrt (/ (sqrt (+ h0 1.0)) (* (cbrt h0) (cbrt h0))))
 (sqrt (/ (sqrt (+ h0 1.0)) (cbrt h0)))
 (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0)))
 (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0)))
 (sqrt (/ (sqrt (+ h0 1.0)) 1))
 (sqrt (/ (sqrt (+ h0 1.0)) h0))
 (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))
 (sqrt (/ (+ h0 1.0) (cbrt h0)))
 (sqrt (/ 1 (sqrt h0)))
 (sqrt (/ (+ h0 1.0) (sqrt h0)))
 (sqrt (/ 1 1))
 (sqrt (/ (+ h0 1.0) h0))
 (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))
 (sqrt (/ (+ h0 1.0) (cbrt h0)))
 (sqrt (/ 1 (sqrt h0)))
 (sqrt (/ (+ h0 1.0) (sqrt h0)))
 (sqrt (/ 1 1))
 (sqrt (/ (+ h0 1.0) h0))
 (sqrt 1)
 (sqrt (/ (+ h0 1.0) h0))
 (sqrt (+ h0 1.0))
 (sqrt (/ 1 h0))
 (sqrt (+ h0 1.0))
 (sqrt h0)
 (/ 1 2)
 (sqrt (sqrt (/ (+ h0 1.0) h0)))
 (sqrt (sqrt (/ (+ h0 1.0) h0)))
 (log (sqrt (/ (+ h0 1.0) h0)))
 (exp (sqrt (/ (+ h0 1.0) h0)))
 (* (cbrt (sqrt (/ (+ h0 1.0) h0))) (cbrt (sqrt (/ (+ h0 1.0) h0))))
 (cbrt (sqrt (/ (+ h0 1.0) h0)))
 (* (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0))) (sqrt (/ (+ h0 1.0) h0)))
 (sqrt (* (cbrt (/ (+ h0 1.0) h0)) (cbrt (/ (+ h0 1.0) h0))))
 (sqrt (cbrt (/ (+ h0 1.0) h0)))
 (sqrt (sqrt (/ (+ h0 1.0) h0)))
 (sqrt (sqrt (/ (+ h0 1.0) h0)))
 (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (* (cbrt h0) (cbrt h0))))
 (sqrt (/ (cbrt (+ h0 1.0)) (cbrt h0)))
 (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (sqrt h0)))
 (sqrt (/ (cbrt (+ h0 1.0)) (sqrt h0)))
 (sqrt (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) 1))
 (sqrt (/ (cbrt (+ h0 1.0)) h0))
 (sqrt (/ (sqrt (+ h0 1.0)) (* (cbrt h0) (cbrt h0))))
 (sqrt (/ (sqrt (+ h0 1.0)) (cbrt h0)))
 (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0)))
 (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0)))
 (sqrt (/ (sqrt (+ h0 1.0)) 1))
 (sqrt (/ (sqrt (+ h0 1.0)) h0))
 (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))
 (sqrt (/ (+ h0 1.0) (cbrt h0)))
 (sqrt (/ 1 (sqrt h0)))
 (sqrt (/ (+ h0 1.0) (sqrt h0)))
 (sqrt (/ 1 1))
 (sqrt (/ (+ h0 1.0) h0))
 (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))
 (sqrt (/ (+ h0 1.0) (cbrt h0)))
 (sqrt (/ 1 (sqrt h0)))
 (sqrt (/ (+ h0 1.0) (sqrt h0)))
 (sqrt (/ 1 1))
 (sqrt (/ (+ h0 1.0) h0))
 (sqrt 1)
 (sqrt (/ (+ h0 1.0) h0))
 (sqrt (+ h0 1.0))
 (sqrt (/ 1 h0))
 (sqrt (+ h0 1.0))
 (sqrt h0)
 (/ 1 2)
 (sqrt (sqrt (/ (+ h0 1.0) h0)))
 (sqrt (sqrt (/ (+ h0 1.0) h0)))
 (- (+ (* 1.0 h0) (log 1.0)) (+ (* (/ 1 2) (/ (pow h0 2) (pow 1.0 2))) (log h0)))
 (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2))))
 (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2))))
 (+ (* 1.0 (/ 1 h0)) 1)
 (+ (* 1.0 (/ 1 h0)) 1)
 (+ (* 1.0 (/ 1 h0)) 1)
 (- (+ (* h1 (pow h0 2)) (- (+ (* h1 h0) (- h1)))))
 (- (+ (* (/ 1.0 2.0) (/ 1 h0)) 1) (* (/ 1.0 8.0) (/ 1 (pow h0 2))))
 (- (+ (* (/ 1.0 2.0) (/ 1 h0)) 1) (* (/ 1.0 8.0) (/ 1 (pow h0 2))))
 (- (+ (* h1 (pow h0 2)) (- (+ (* h1 h0) (- h1)))))
 (- (+ (* (/ 1.0 2.0) (/ 1 h0)) 1) (* (/ 1.0 8.0) (/ 1 (pow h0 2))))
 (- (+ (* (/ 1.0 2.0) (/ 1 h0)) 1) (* (/ 1.0 8.0) (/ 1 (pow h0 2))))
1.756 * * * [progress]: adding candidates to table
2.336 * * [progress]: iteration 4 / 4
2.336 * * * [progress]: picking best candidate
2.340 * * * * [pick]: Picked  #<alt (λ (N) (exp (log (- (log (+ N 1.0)) (log N)))))>
2.340 * * * [progress]: localizing error
2.353 * * * [progress]: generating rewritten candidates
2.353 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
2.358 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
2.370 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.386 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
2.402 * * * [progress]: generating series expansions
2.402 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
2.402 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0))
2.402 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0
2.402 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
2.402 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.403 * [taylor]: Taking taylor expansion of N in N
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify 1 into 1
2.403 * [taylor]: Taking taylor expansion of 1.0 in N
2.403 * [backup-simplify]: Simplify 1.0 into 1.0
2.403 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.404 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.404 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
2.404 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.404 * [taylor]: Taking taylor expansion of N in N
2.404 * [backup-simplify]: Simplify 0 into 0
2.404 * [backup-simplify]: Simplify 1 into 1
2.404 * [taylor]: Taking taylor expansion of 1.0 in N
2.404 * [backup-simplify]: Simplify 1.0 into 1.0
2.404 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.404 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.405 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.405 * [backup-simplify]: Simplify (+ 1 0) into 1
2.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
2.408 * [backup-simplify]: Simplify 1.0 into 1.0
2.408 * [backup-simplify]: Simplify (+ 0 0) into 0
2.420 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
2.421 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2))
2.422 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2))))
2.422 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0))
2.422 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0
2.422 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
2.422 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.423 * [taylor]: Taking taylor expansion of N in N
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [backup-simplify]: Simplify 1 into 1
2.423 * [backup-simplify]: Simplify (/ 1 1) into 1
2.423 * [taylor]: Taking taylor expansion of 1.0 in N
2.423 * [backup-simplify]: Simplify 1.0 into 1.0
2.423 * [backup-simplify]: Simplify (+ 1 0) into 1
2.424 * [backup-simplify]: Simplify (log 1) into 0
2.424 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
2.424 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.424 * [taylor]: Taking taylor expansion of N in N
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify 1 into 1
2.424 * [backup-simplify]: Simplify (/ 1 1) into 1
2.424 * [taylor]: Taking taylor expansion of 1.0 in N
2.425 * [backup-simplify]: Simplify 1.0 into 1.0
2.425 * [backup-simplify]: Simplify (+ 1 0) into 1
2.426 * [backup-simplify]: Simplify (log 1) into 0
2.426 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.426 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
2.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.428 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
2.438 * [backup-simplify]: Simplify 1.0 into 1.0
2.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.439 * [backup-simplify]: Simplify (+ 0 0) into 0
2.452 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
2.452 * [backup-simplify]: Simplify -0.5 into -0.5
2.452 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N))))
2.452 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N)))
2.452 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0
2.452 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
2.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.452 * [taylor]: Taking taylor expansion of 1.0 in N
2.452 * [backup-simplify]: Simplify 1.0 into 1.0
2.453 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.453 * [taylor]: Taking taylor expansion of N in N
2.453 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify 1 into 1
2.453 * [backup-simplify]: Simplify (/ 1 1) into 1
2.453 * [backup-simplify]: Simplify (- 1) into -1
2.453 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.454 * [backup-simplify]: Simplify (log -1) into (log -1)
2.454 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
2.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.454 * [taylor]: Taking taylor expansion of 1.0 in N
2.454 * [backup-simplify]: Simplify 1.0 into 1.0
2.454 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.454 * [taylor]: Taking taylor expansion of N in N
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 1 into 1
2.454 * [backup-simplify]: Simplify (/ 1 1) into 1
2.454 * [backup-simplify]: Simplify (- 1) into -1
2.455 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.455 * [backup-simplify]: Simplify (log -1) into (log -1)
2.456 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.456 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N))
2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.457 * [backup-simplify]: Simplify (- 0) into 0
2.457 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
2.462 * [backup-simplify]: Simplify -1.0 into -1.0
2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.463 * [backup-simplify]: Simplify (- 0) into 0
2.463 * [backup-simplify]: Simplify (+ 0 0) into 0
2.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
2.471 * [backup-simplify]: Simplify -0.5 into -0.5
2.472 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N))))
2.472 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
2.472 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N))
2.472 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0
2.472 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
2.472 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
2.472 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
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 * [taylor]: Taking taylor expansion of 1.0 in N
2.473 * [backup-simplify]: Simplify 1.0 into 1.0
2.473 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.473 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.473 * [taylor]: Taking taylor expansion of (log N) in N
2.473 * [taylor]: Taking taylor expansion of N in N
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.474 * [backup-simplify]: Simplify (log 1) into 0
2.474 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
2.474 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
2.474 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.474 * [taylor]: Taking taylor expansion of N in N
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify 1 into 1
2.474 * [taylor]: Taking taylor expansion of 1.0 in N
2.474 * [backup-simplify]: Simplify 1.0 into 1.0
2.474 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.474 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.474 * [taylor]: Taking taylor expansion of (log N) in N
2.474 * [taylor]: Taking taylor expansion of N in N
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify 1 into 1
2.475 * [backup-simplify]: Simplify (log 1) into 0
2.475 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
2.475 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
2.476 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N))
2.476 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N))
2.476 * [backup-simplify]: Simplify (+ 1 0) into 1
2.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
2.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.481 * [backup-simplify]: Simplify (- 0) into 0
2.481 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.481 * [backup-simplify]: Simplify 1.0 into 1.0
2.481 * [backup-simplify]: Simplify (+ 0 0) into 0
2.490 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
2.493 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.493 * [backup-simplify]: Simplify (- 0) into 0
2.495 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2))))
2.498 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2))))
2.502 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
2.502 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))
2.502 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0
2.502 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
2.502 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
2.503 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.503 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.503 * [taylor]: Taking taylor expansion of N in N
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.503 * [backup-simplify]: Simplify (/ 1 1) into 1
2.503 * [taylor]: Taking taylor expansion of 1.0 in N
2.503 * [backup-simplify]: Simplify 1.0 into 1.0
2.504 * [backup-simplify]: Simplify (+ 1 0) into 1
2.504 * [backup-simplify]: Simplify (log 1) into 0
2.504 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
2.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.504 * [taylor]: Taking taylor expansion of N in N
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify 1 into 1
2.505 * [backup-simplify]: Simplify (/ 1 1) into 1
2.505 * [backup-simplify]: Simplify (log 1) into 0
2.505 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
2.505 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
2.505 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.505 * [taylor]: Taking taylor expansion of N in N
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 1 into 1
2.506 * [backup-simplify]: Simplify (/ 1 1) into 1
2.506 * [taylor]: Taking taylor expansion of 1.0 in N
2.506 * [backup-simplify]: Simplify 1.0 into 1.0
2.506 * [backup-simplify]: Simplify (+ 1 0) into 1
2.507 * [backup-simplify]: Simplify (log 1) into 0
2.507 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
2.507 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.507 * [taylor]: Taking taylor expansion of N in N
2.507 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify 1 into 1
2.507 * [backup-simplify]: Simplify (/ 1 1) into 1
2.508 * [backup-simplify]: Simplify (log 1) into 0
2.508 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.508 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.508 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
2.508 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.509 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
2.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.515 * [backup-simplify]: Simplify (- 0) into 0
2.515 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.515 * [backup-simplify]: Simplify 1.0 into 1.0
2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify (+ 0 0) into 0
2.522 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.525 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.525 * [backup-simplify]: Simplify (- 0) into 0
2.525 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
2.526 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.526 * [backup-simplify]: Simplify (+ 0 0) into 0
2.548 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333
2.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.551 * [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
2.552 * [backup-simplify]: Simplify (- 0) into 0
2.552 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.552 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.553 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
2.553 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))
2.553 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0
2.553 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
2.553 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
2.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.553 * [taylor]: Taking taylor expansion of 1.0 in N
2.553 * [backup-simplify]: Simplify 1.0 into 1.0
2.553 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.553 * [taylor]: Taking taylor expansion of N in N
2.553 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify 1 into 1
2.553 * [backup-simplify]: Simplify (/ 1 1) into 1
2.554 * [backup-simplify]: Simplify (- 1) into -1
2.554 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.554 * [backup-simplify]: Simplify (log -1) into (log -1)
2.554 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
2.554 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.554 * [taylor]: Taking taylor expansion of -1 in N
2.554 * [backup-simplify]: Simplify -1 into -1
2.554 * [taylor]: Taking taylor expansion of N in N
2.554 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify 1 into 1
2.555 * [backup-simplify]: Simplify (/ -1 1) into -1
2.555 * [backup-simplify]: Simplify (log -1) into (log -1)
2.555 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
2.555 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
2.555 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.555 * [taylor]: Taking taylor expansion of 1.0 in N
2.555 * [backup-simplify]: Simplify 1.0 into 1.0
2.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.555 * [taylor]: Taking taylor expansion of N in N
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 1 into 1
2.555 * [backup-simplify]: Simplify (/ 1 1) into 1
2.555 * [backup-simplify]: Simplify (- 1) into -1
2.556 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.556 * [backup-simplify]: Simplify (log -1) into (log -1)
2.556 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
2.556 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.556 * [taylor]: Taking taylor expansion of -1 in N
2.556 * [backup-simplify]: Simplify -1 into -1
2.556 * [taylor]: Taking taylor expansion of N in N
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [backup-simplify]: Simplify (/ -1 1) into -1
2.557 * [backup-simplify]: Simplify (log -1) into (log -1)
2.557 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.558 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.558 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
2.559 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
2.559 * [backup-simplify]: Simplify 0 into 0
2.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.559 * [backup-simplify]: Simplify (- 0) into 0
2.560 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
2.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
2.565 * [backup-simplify]: Simplify (- 0) into 0
2.565 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0)
2.565 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.566 * [backup-simplify]: Simplify (- 0) into 0
2.566 * [backup-simplify]: Simplify (+ 0 0) into 0
2.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
2.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
2.575 * [backup-simplify]: Simplify (- 0) into 0
2.576 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
2.576 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (- 0) into 0
2.577 * [backup-simplify]: Simplify (+ 0 0) into 0
2.594 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333
2.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.601 * [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
2.602 * [backup-simplify]: Simplify (- 0) into 0
2.602 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333)
2.603 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333)
2.605 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
2.605 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.605 * [backup-simplify]: Simplify (exp (log (- (log (+ N 1.0)) (log N)))) into (- (log (+ N 1.0)) (log N))
2.605 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0
2.605 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
2.606 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
2.606 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.606 * [taylor]: Taking taylor expansion of N in N
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 1 into 1
2.606 * [taylor]: Taking taylor expansion of 1.0 in N
2.606 * [backup-simplify]: Simplify 1.0 into 1.0
2.606 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.607 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.607 * [taylor]: Taking taylor expansion of (log N) in N
2.607 * [taylor]: Taking taylor expansion of N in N
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.607 * [backup-simplify]: Simplify (log 1) into 0
2.607 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
2.607 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
2.607 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.607 * [taylor]: Taking taylor expansion of N in N
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.607 * [taylor]: Taking taylor expansion of 1.0 in N
2.607 * [backup-simplify]: Simplify 1.0 into 1.0
2.608 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.608 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.608 * [taylor]: Taking taylor expansion of (log N) in N
2.608 * [taylor]: Taking taylor expansion of N in N
2.608 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify 1 into 1
2.609 * [backup-simplify]: Simplify (log 1) into 0
2.609 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
2.609 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
2.610 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N))
2.610 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N))
2.611 * [backup-simplify]: Simplify (+ 1 0) into 1
2.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
2.618 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.618 * [backup-simplify]: Simplify (- 0) into 0
2.619 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.619 * [backup-simplify]: Simplify 1.0 into 1.0
2.619 * [backup-simplify]: Simplify (+ 0 0) into 0
2.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
2.633 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.634 * [backup-simplify]: Simplify (- 0) into 0
2.636 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2))))
2.640 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2))))
2.644 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
2.645 * [backup-simplify]: Simplify (exp (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))
2.645 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0
2.645 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
2.645 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
2.645 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.645 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.645 * [taylor]: Taking taylor expansion of N in N
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 1 into 1
2.645 * [backup-simplify]: Simplify (/ 1 1) into 1
2.645 * [taylor]: Taking taylor expansion of 1.0 in N
2.645 * [backup-simplify]: Simplify 1.0 into 1.0
2.646 * [backup-simplify]: Simplify (+ 1 0) into 1
2.646 * [backup-simplify]: Simplify (log 1) into 0
2.646 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
2.646 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.646 * [taylor]: Taking taylor expansion of N in N
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 1 into 1
2.647 * [backup-simplify]: Simplify (/ 1 1) into 1
2.647 * [backup-simplify]: Simplify (log 1) into 0
2.647 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
2.647 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
2.647 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.647 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.647 * [taylor]: Taking taylor expansion of N in N
2.647 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify 1 into 1
2.648 * [backup-simplify]: Simplify (/ 1 1) into 1
2.648 * [taylor]: Taking taylor expansion of 1.0 in N
2.648 * [backup-simplify]: Simplify 1.0 into 1.0
2.648 * [backup-simplify]: Simplify (+ 1 0) into 1
2.649 * [backup-simplify]: Simplify (log 1) into 0
2.649 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
2.649 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.649 * [taylor]: Taking taylor expansion of N in N
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 1 into 1
2.649 * [backup-simplify]: Simplify (/ 1 1) into 1
2.650 * [backup-simplify]: Simplify (log 1) into 0
2.651 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.651 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.651 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
2.651 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
2.651 * [backup-simplify]: Simplify 0 into 0
2.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.653 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
2.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.665 * [backup-simplify]: Simplify (- 0) into 0
2.665 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.665 * [backup-simplify]: Simplify 1.0 into 1.0
2.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.667 * [backup-simplify]: Simplify (+ 0 0) into 0
2.695 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.699 * [backup-simplify]: Simplify (- 0) into 0
2.700 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
2.700 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.702 * [backup-simplify]: Simplify (+ 0 0) into 0
2.721 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333
2.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.728 * [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
2.728 * [backup-simplify]: Simplify (- 0) into 0
2.729 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.729 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.730 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
2.730 * [backup-simplify]: Simplify (exp (log (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))
2.730 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0
2.730 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
2.730 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
2.730 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.730 * [taylor]: Taking taylor expansion of 1.0 in N
2.730 * [backup-simplify]: Simplify 1.0 into 1.0
2.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.731 * [taylor]: Taking taylor expansion of N in N
2.731 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify 1 into 1
2.731 * [backup-simplify]: Simplify (/ 1 1) into 1
2.731 * [backup-simplify]: Simplify (- 1) into -1
2.732 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.732 * [backup-simplify]: Simplify (log -1) into (log -1)
2.732 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
2.732 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.732 * [taylor]: Taking taylor expansion of -1 in N
2.732 * [backup-simplify]: Simplify -1 into -1
2.732 * [taylor]: Taking taylor expansion of N in N
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.733 * [backup-simplify]: Simplify (/ -1 1) into -1
2.733 * [backup-simplify]: Simplify (log -1) into (log -1)
2.733 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
2.733 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
2.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.733 * [taylor]: Taking taylor expansion of 1.0 in N
2.733 * [backup-simplify]: Simplify 1.0 into 1.0
2.733 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.733 * [taylor]: Taking taylor expansion of N in N
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [backup-simplify]: Simplify (/ 1 1) into 1
2.734 * [backup-simplify]: Simplify (- 1) into -1
2.735 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.735 * [backup-simplify]: Simplify (log -1) into (log -1)
2.735 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
2.735 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.735 * [taylor]: Taking taylor expansion of -1 in N
2.735 * [backup-simplify]: Simplify -1 into -1
2.735 * [taylor]: Taking taylor expansion of N in N
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 1 into 1
2.736 * [backup-simplify]: Simplify (/ -1 1) into -1
2.736 * [backup-simplify]: Simplify (log -1) into (log -1)
2.737 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.738 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.738 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
2.739 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
2.739 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.740 * [backup-simplify]: Simplify (- 0) into 0
2.741 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
2.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
2.750 * [backup-simplify]: Simplify (- 0) into 0
2.751 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0)
2.751 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.752 * [backup-simplify]: Simplify (- 0) into 0
2.753 * [backup-simplify]: Simplify (+ 0 0) into 0
2.764 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
2.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.768 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
2.769 * [backup-simplify]: Simplify (- 0) into 0
2.769 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
2.770 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.771 * [backup-simplify]: Simplify (- 0) into 0
2.772 * [backup-simplify]: Simplify (+ 0 0) into 0
2.792 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333
2.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.797 * [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
2.797 * [backup-simplify]: Simplify (- 0) into 0
2.798 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333)
2.798 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333)
2.799 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
2.799 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
2.799 * [backup-simplify]: Simplify (log (- (log (+ N 1.0)) (log N))) into (log (- (log (+ N 1.0)) (log N)))
2.799 * [approximate]: Taking taylor expansion of (log (- (log (+ N 1.0)) (log N))) in (N) around 0
2.799 * [taylor]: Taking taylor expansion of (log (- (log (+ N 1.0)) (log N))) in N
2.799 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
2.799 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
2.799 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.799 * [taylor]: Taking taylor expansion of N in N
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 1 into 1
2.799 * [taylor]: Taking taylor expansion of 1.0 in N
2.799 * [backup-simplify]: Simplify 1.0 into 1.0
2.800 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.800 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.800 * [taylor]: Taking taylor expansion of (log N) in N
2.800 * [taylor]: Taking taylor expansion of N in N
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 1 into 1
2.800 * [backup-simplify]: Simplify (log 1) into 0
2.800 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
2.800 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
2.801 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N))
2.801 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N)))
2.801 * [taylor]: Taking taylor expansion of (log (- (log (+ N 1.0)) (log N))) in N
2.801 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
2.801 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
2.801 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.801 * [taylor]: Taking taylor expansion of N in N
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify 1 into 1
2.801 * [taylor]: Taking taylor expansion of 1.0 in N
2.801 * [backup-simplify]: Simplify 1.0 into 1.0
2.801 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.802 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.802 * [taylor]: Taking taylor expansion of (log N) in N
2.802 * [taylor]: Taking taylor expansion of N in N
2.802 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify 1 into 1
2.802 * [backup-simplify]: Simplify (log 1) into 0
2.802 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
2.802 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
2.803 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N))
2.803 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N)))
2.803 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N)))
2.804 * [backup-simplify]: Simplify (+ 1 0) into 1
2.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
2.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.808 * [backup-simplify]: Simplify (- 0) into 0
2.808 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.810 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- (log 1.0) (log N)) 1)))) 1) into (/ 1.0 (- (log 1.0) (log N)))
2.810 * [backup-simplify]: Simplify (/ 1.0 (- (log 1.0) (log N))) into (/ 1.0 (- (log 1.0) (log N)))
2.810 * [backup-simplify]: Simplify (+ 0 0) into 0
2.816 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
2.818 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.818 * [backup-simplify]: Simplify (- 0) into 0
2.819 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2))))
2.832 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- (log 1.0) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow 1.0 2))))) 1)) (pow (- (log 1.0) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2)))))
2.834 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2))))) into (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2)))))
2.836 * [backup-simplify]: Simplify (+ (* (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2))))) (pow N 2)) (+ (* (/ 1.0 (- (log 1.0) (log N))) N) (log (- (log 1.0) (log N))))) into (- (+ (log (- (log 1.0) (log N))) (* 1.0 (/ N (- (log 1.0) (log N))))) (+ (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.5 (/ (pow N 2) (pow (- (log 1.0) (log N)) 2)))))
2.836 * [backup-simplify]: Simplify (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))) into (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))))
2.836 * [approximate]: Taking taylor expansion of (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))) in (N) around 0
2.836 * [taylor]: Taking taylor expansion of (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))) in N
2.836 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
2.836 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
2.836 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.836 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.836 * [taylor]: Taking taylor expansion of N in N
2.836 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify 1 into 1
2.836 * [backup-simplify]: Simplify (/ 1 1) into 1
2.836 * [taylor]: Taking taylor expansion of 1.0 in N
2.836 * [backup-simplify]: Simplify 1.0 into 1.0
2.837 * [backup-simplify]: Simplify (+ 1 0) into 1
2.837 * [backup-simplify]: Simplify (log 1) into 0
2.837 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
2.837 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.837 * [taylor]: Taking taylor expansion of N in N
2.837 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify 1 into 1
2.837 * [backup-simplify]: Simplify (/ 1 1) into 1
2.837 * [backup-simplify]: Simplify (log 1) into 0
2.838 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.838 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.838 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
2.838 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.839 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.845 * [backup-simplify]: Simplify (- 0) into 0
2.845 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.845 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.845 * [taylor]: Taking taylor expansion of (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))) in N
2.845 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
2.845 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
2.845 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.845 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.845 * [taylor]: Taking taylor expansion of N in N
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 1 into 1
2.846 * [backup-simplify]: Simplify (/ 1 1) into 1
2.846 * [taylor]: Taking taylor expansion of 1.0 in N
2.846 * [backup-simplify]: Simplify 1.0 into 1.0
2.846 * [backup-simplify]: Simplify (+ 1 0) into 1
2.846 * [backup-simplify]: Simplify (log 1) into 0
2.846 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
2.846 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.846 * [taylor]: Taking taylor expansion of N in N
2.846 * [backup-simplify]: Simplify 0 into 0
2.846 * [backup-simplify]: Simplify 1 into 1
2.847 * [backup-simplify]: Simplify (/ 1 1) into 1
2.847 * [backup-simplify]: Simplify (log 1) into 0
2.847 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.847 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
2.847 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
2.848 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.848 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
2.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.855 * [backup-simplify]: Simplify (- 0) into 0
2.855 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.855 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.856 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.856 * [backup-simplify]: Simplify (+ (log 1.0) (log N)) into (+ (log 1.0) (log N))
2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.857 * [backup-simplify]: Simplify (+ 0 0) into 0
2.864 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.866 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.866 * [backup-simplify]: Simplify (- 0) into 0
2.866 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
2.871 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5
2.871 * [backup-simplify]: Simplify -0.5 into -0.5
2.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.872 * [backup-simplify]: Simplify (+ 0 0) into 0
2.882 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333
2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.886 * [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
2.887 * [backup-simplify]: Simplify (- 0) into 0
2.887 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.905 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))
2.909 * [backup-simplify]: Simplify (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))
2.915 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* -0.5 (/ 1 N)) (+ (log 1.0) (log (/ 1 N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (+ (log 1.0) (log (/ 1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow 1.0 2)))) (* 0.5 (/ 1 N))))
2.915 * [backup-simplify]: Simplify (log (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N))))) into (log (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))))
2.915 * [approximate]: Taking taylor expansion of (log (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))) in (N) around 0
2.915 * [taylor]: Taking taylor expansion of (log (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))) in N
2.915 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
2.915 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
2.915 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.915 * [taylor]: Taking taylor expansion of 1.0 in N
2.915 * [backup-simplify]: Simplify 1.0 into 1.0
2.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.915 * [taylor]: Taking taylor expansion of N in N
2.915 * [backup-simplify]: Simplify 0 into 0
2.915 * [backup-simplify]: Simplify 1 into 1
2.916 * [backup-simplify]: Simplify (/ 1 1) into 1
2.916 * [backup-simplify]: Simplify (- 1) into -1
2.917 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.917 * [backup-simplify]: Simplify (log -1) into (log -1)
2.917 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
2.917 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.917 * [taylor]: Taking taylor expansion of -1 in N
2.917 * [backup-simplify]: Simplify -1 into -1
2.917 * [taylor]: Taking taylor expansion of N in N
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [backup-simplify]: Simplify 1 into 1
2.918 * [backup-simplify]: Simplify (/ -1 1) into -1
2.919 * [backup-simplify]: Simplify (log -1) into (log -1)
2.920 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.921 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.921 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
2.922 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.923 * [backup-simplify]: Simplify (- 0) into 0
2.924 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.929 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
2.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
2.931 * [backup-simplify]: Simplify (- 0) into 0
2.931 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0)
2.932 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0))
2.932 * [taylor]: Taking taylor expansion of (log (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))) in N
2.932 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
2.932 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
2.932 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.932 * [taylor]: Taking taylor expansion of 1.0 in N
2.932 * [backup-simplify]: Simplify 1.0 into 1.0
2.932 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.932 * [taylor]: Taking taylor expansion of N in N
2.932 * [backup-simplify]: Simplify 0 into 0
2.932 * [backup-simplify]: Simplify 1 into 1
2.932 * [backup-simplify]: Simplify (/ 1 1) into 1
2.932 * [backup-simplify]: Simplify (- 1) into -1
2.933 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.933 * [backup-simplify]: Simplify (log -1) into (log -1)
2.933 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
2.933 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.933 * [taylor]: Taking taylor expansion of -1 in N
2.933 * [backup-simplify]: Simplify -1 into -1
2.933 * [taylor]: Taking taylor expansion of N in N
2.933 * [backup-simplify]: Simplify 0 into 0
2.933 * [backup-simplify]: Simplify 1 into 1
2.933 * [backup-simplify]: Simplify (/ -1 1) into -1
2.933 * [backup-simplify]: Simplify (log -1) into (log -1)
2.934 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.934 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
2.935 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
2.935 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
2.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.936 * [backup-simplify]: Simplify (- 0) into 0
2.936 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
2.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
2.948 * [backup-simplify]: Simplify (- 0) into 0
2.948 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0)
2.948 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0))
2.949 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- 1.0))) into (+ (log (- 1.0)) (log N))
2.950 * [backup-simplify]: Simplify (+ (log (- 1.0)) (log N)) into (+ (log (- 1.0)) (log N))
2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (- 0) into 0
2.951 * [backup-simplify]: Simplify (+ 0 0) into 0
2.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
2.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.959 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
2.959 * [backup-simplify]: Simplify (- 0) into 0
2.960 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
2.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow (- 1.0) 1)))) 1) into 0.5
2.965 * [backup-simplify]: Simplify 0.5 into 0.5
2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.966 * [backup-simplify]: Simplify (- 0) into 0
2.966 * [backup-simplify]: Simplify (+ 0 0) into 0
2.982 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333
2.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.988 * [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
2.989 * [backup-simplify]: Simplify (- 0) into 0
2.989 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333)
3.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- 0.3333333333333333)) 1)) (pow (- 1.0) 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2)))))
3.002 * [backup-simplify]: Simplify (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2)))))
3.006 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) (pow (/ 1 (- N)) 2)) (+ (* 0.5 (/ 1 (- N))) (+ (log (- 1.0)) (log (/ 1 (- N)))))) into (- (+ (log (- 1.0)) (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (log (/ -1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow -1.0 2)))) (* 0.5 (/ 1 N))))
3.006 * * * [progress]: simplifying candidates
3.007 * [simplify]: Simplifying:
  (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (log (cbrt (+ N 1.0)))
  (log (sqrt (+ N 1.0)))
  (log (sqrt (+ N 1.0)))
  (log 1)
  (log (+ N 1.0))
  (log 1)
  (log (+ N 1.0))
  (log (+ (pow N 3) (pow 1.0 3)))
  (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (log (- (* N N) (* 1.0 1.0)))
  (log (- N 1.0))
  (log (+ N 1.0))
  (log (log (+ N 1.0)))
  (exp (log (+ N 1.0)))
  (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))
  (cbrt (log (+ N 1.0)))
  (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0)))
  (sqrt (log (+ N 1.0)))
  (sqrt (log (+ N 1.0)))
  (/ (+ N 1.0) N)
  (log (- (log (+ N 1.0)) (log N)))
  (exp (- (log (+ N 1.0)) (log N)))
  (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N))))
  (cbrt (- (log (+ N 1.0)) (log N)))
  (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N)))
  (sqrt (- (log (+ N 1.0)) (log N)))
  (sqrt (- (log (+ N 1.0)) (log N)))
  (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))
  (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N))))
  (- (log N))
  (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
  (+ (log (+ N 1.0)) (log N))
  (+ (sqrt (log (+ N 1.0))) (sqrt (log N)))
  (- (sqrt (log (+ N 1.0))) (sqrt (log N)))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N))))
  (- (log (+ N 1.0)) (log (sqrt N)))
  (- (log (+ N 1.0)) (log 1))
  (- (log (cbrt (+ N 1.0))) (log N))
  (- (log (sqrt (+ N 1.0))) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N))
  (+ (log (- N 1.0)) (log N))
  (- (log N))
  (exp 1)
  (exp (* (cbrt (log (- (log (+ N 1.0)) (log N)))) (cbrt (log (- (log (+ N 1.0)) (log N))))))
  (exp (sqrt (log (- (log (+ N 1.0)) (log N)))))
  (exp 1)
  (exp (log (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N))))))
  (exp (log (cbrt (- (log (+ N 1.0)) (log N)))))
  (exp (log (sqrt (- (log (+ N 1.0)) (log N)))))
  (exp (log (sqrt (- (log (+ N 1.0)) (log N)))))
  (exp (log 1))
  (exp (log (- (log (+ N 1.0)) (log N))))
  (exp (log (+ (sqrt (log (+ N 1.0))) (sqrt (log N)))))
  (exp (log (- (sqrt (log (+ N 1.0))) (sqrt (log N)))))
  (exp (log 1))
  (exp (log (- (log (+ N 1.0)) (log N))))
  (exp (log 1))
  (exp (log (- (log (+ N 1.0)) (log N))))
  (exp (log 1))
  (exp (log (- (log (+ N 1.0)) (log N))))
  (exp (log 1))
  (exp (log (- (log (+ N 1.0)) (log N))))
  (exp (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))))
  (exp (log (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N))))))
  (exp (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))))
  (exp (log (+ (log (+ N 1.0)) (log N))))
  (log (exp (log (- (log (+ N 1.0)) (log N)))))
  (exp (exp (log (- (log (+ N 1.0)) (log N)))))
  (* (cbrt (exp (log (- (log (+ N 1.0)) (log N))))) (cbrt (exp (log (- (log (+ N 1.0)) (log N))))))
  (cbrt (exp (log (- (log (+ N 1.0)) (log N)))))
  (* (* (exp (log (- (log (+ N 1.0)) (log N)))) (exp (log (- (log (+ N 1.0)) (log N))))) (exp (log (- (log (+ N 1.0)) (log N)))))
  (sqrt (exp (log (- (log (+ N 1.0)) (log N)))))
  (sqrt (exp (log (- (log (+ N 1.0)) (log N)))))
  (log (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))))
  (log (cbrt (- (log (+ N 1.0)) (log N))))
  (log (sqrt (- (log (+ N 1.0)) (log N))))
  (log (sqrt (- (log (+ N 1.0)) (log N))))
  (log 1)
  (log (- (log (+ N 1.0)) (log N)))
  (log (+ (sqrt (log (+ N 1.0))) (sqrt (log N))))
  (log (- (sqrt (log (+ N 1.0))) (sqrt (log N))))
  (log 1)
  (log (- (log (+ N 1.0)) (log N)))
  (log 1)
  (log (- (log (+ N 1.0)) (log N)))
  (log 1)
  (log (- (log (+ N 1.0)) (log N)))
  (log 1)
  (log (- (log (+ N 1.0)) (log N)))
  (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))
  (log (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))))
  (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))
  (log (+ (log (+ N 1.0)) (log N)))
  (log (- (log (+ N 1.0)) (log N)))
  (log (log (- (log (+ N 1.0)) (log N))))
  (exp (log (- (log (+ N 1.0)) (log N))))
  (* (cbrt (log (- (log (+ N 1.0)) (log N)))) (cbrt (log (- (log (+ N 1.0)) (log N)))))
  (cbrt (log (- (log (+ N 1.0)) (log N))))
  (* (* (log (- (log (+ N 1.0)) (log N))) (log (- (log (+ N 1.0)) (log N)))) (log (- (log (+ N 1.0)) (log N))))
  (sqrt (log (- (log (+ N 1.0)) (log N))))
  (sqrt (log (- (log (+ N 1.0)) (log N))))
  (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2))))
  (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N))))
  (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N))))
  (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (log (- (log 1.0) (log N))) (* 1.0 (/ N (- (log 1.0) (log N))))) (+ (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.5 (/ (pow N 2) (pow (- (log 1.0) (log N)) 2)))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (+ (log 1.0) (log (/ 1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow 1.0 2)))) (* 0.5 (/ 1 N))))
  (- (+ (log (- 1.0)) (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (log (/ -1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow -1.0 2)))) (* 0.5 (/ 1 N))))
3.008 * [simplify]: Sending expressions to egg_math:
 (log (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))))
 (log (cbrt (+ h0 1.0)))
 (log (sqrt (+ h0 1.0)))
 (log (sqrt (+ h0 1.0)))
 (log 1)
 (log (+ h0 1.0))
 (log 1)
 (log (+ h0 1.0))
 (log (+ (pow h0 3) (pow 1.0 3)))
 (log (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0))))
 (log (- (* h0 h0) (* 1.0 1.0)))
 (log (- h0 1.0))
 (log (+ h0 1.0))
 (log (log (+ h0 1.0)))
 (exp (log (+ h0 1.0)))
 (* (cbrt (log (+ h0 1.0))) (cbrt (log (+ h0 1.0))))
 (cbrt (log (+ h0 1.0)))
 (* (* (log (+ h0 1.0)) (log (+ h0 1.0))) (log (+ h0 1.0)))
 (sqrt (log (+ h0 1.0)))
 (sqrt (log (+ h0 1.0)))
 (/ (+ h0 1.0) h0)
 (log (- (log (+ h0 1.0)) (log h0)))
 (exp (- (log (+ h0 1.0)) (log h0)))
 (* (cbrt (- (log (+ h0 1.0)) (log h0))) (cbrt (- (log (+ h0 1.0)) (log h0))))
 (cbrt (- (log (+ h0 1.0)) (log h0)))
 (* (* (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0))) (- (log (+ h0 1.0)) (log h0)))
 (sqrt (- (log (+ h0 1.0)) (log h0)))
 (sqrt (- (log (+ h0 1.0)) (log h0)))
 (- (pow (log (+ h0 1.0)) 3) (pow (log h0) 3))
 (+ (* (log (+ h0 1.0)) (log (+ h0 1.0))) (+ (* (log h0) (log h0)) (* (log (+ h0 1.0)) (log h0))))
 (- (log h0))
 (- (* (log (+ h0 1.0)) (log (+ h0 1.0))) (* (log h0) (log h0)))
 (+ (log (+ h0 1.0)) (log h0))
 (+ (sqrt (log (+ h0 1.0))) (sqrt (log h0)))
 (- (sqrt (log (+ h0 1.0))) (sqrt (log h0)))
 (- (log (+ h0 1.0)) (log h0))
 (- (log (+ h0 1.0)) (log h0))
 (- (log (+ h0 1.0)) (log h0))
 (- (log (+ h0 1.0)) (log h0))
 (- (log (+ h0 1.0)) (log (* (cbrt h0) (cbrt h0))))
 (- (log (+ h0 1.0)) (log (sqrt h0)))
 (- (log (+ h0 1.0)) (log 1))
 (- (log (cbrt (+ h0 1.0))) (log h0))
 (- (log (sqrt (+ h0 1.0))) (log h0))
 (- (log (+ h0 1.0)) (log h0))
 (- (log (+ h0 1.0)) (log h0))
 (+ (log (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (log h0))
 (+ (log (- h0 1.0)) (log h0))
 (- (log h0))
 (exp 1)
 (exp (* (cbrt (log (- (log (+ h0 1.0)) (log h0)))) (cbrt (log (- (log (+ h0 1.0)) (log h0))))))
 (exp (sqrt (log (- (log (+ h0 1.0)) (log h0)))))
 (exp 1)
 (exp (log (* (cbrt (- (log (+ h0 1.0)) (log h0))) (cbrt (- (log (+ h0 1.0)) (log h0))))))
 (exp (log (cbrt (- (log (+ h0 1.0)) (log h0)))))
 (exp (log (sqrt (- (log (+ h0 1.0)) (log h0)))))
 (exp (log (sqrt (- (log (+ h0 1.0)) (log h0)))))
 (exp (log 1))
 (exp (log (- (log (+ h0 1.0)) (log h0))))
 (exp (log (+ (sqrt (log (+ h0 1.0))) (sqrt (log h0)))))
 (exp (log (- (sqrt (log (+ h0 1.0))) (sqrt (log h0)))))
 (exp (log 1))
 (exp (log (- (log (+ h0 1.0)) (log h0))))
 (exp (log 1))
 (exp (log (- (log (+ h0 1.0)) (log h0))))
 (exp (log 1))
 (exp (log (- (log (+ h0 1.0)) (log h0))))
 (exp (log 1))
 (exp (log (- (log (+ h0 1.0)) (log h0))))
 (exp (log (- (pow (log (+ h0 1.0)) 3) (pow (log h0) 3))))
 (exp (log (+ (* (log (+ h0 1.0)) (log (+ h0 1.0))) (+ (* (log h0) (log h0)) (* (log (+ h0 1.0)) (log h0))))))
 (exp (log (- (* (log (+ h0 1.0)) (log (+ h0 1.0))) (* (log h0) (log h0)))))
 (exp (log (+ (log (+ h0 1.0)) (log h0))))
 (log (exp (log (- (log (+ h0 1.0)) (log h0)))))
 (exp (exp (log (- (log (+ h0 1.0)) (log h0)))))
 (* (cbrt (exp (log (- (log (+ h0 1.0)) (log h0))))) (cbrt (exp (log (- (log (+ h0 1.0)) (log h0))))))
 (cbrt (exp (log (- (log (+ h0 1.0)) (log h0)))))
 (* (* (exp (log (- (log (+ h0 1.0)) (log h0)))) (exp (log (- (log (+ h0 1.0)) (log h0))))) (exp (log (- (log (+ h0 1.0)) (log h0)))))
 (sqrt (exp (log (- (log (+ h0 1.0)) (log h0)))))
 (sqrt (exp (log (- (log (+ h0 1.0)) (log h0)))))
 (log (* (cbrt (- (log (+ h0 1.0)) (log h0))) (cbrt (- (log (+ h0 1.0)) (log h0)))))
 (log (cbrt (- (log (+ h0 1.0)) (log h0))))
 (log (sqrt (- (log (+ h0 1.0)) (log h0))))
 (log (sqrt (- (log (+ h0 1.0)) (log h0))))
 (log 1)
 (log (- (log (+ h0 1.0)) (log h0)))
 (log (+ (sqrt (log (+ h0 1.0))) (sqrt (log h0))))
 (log (- (sqrt (log (+ h0 1.0))) (sqrt (log h0))))
 (log 1)
 (log (- (log (+ h0 1.0)) (log h0)))
 (log 1)
 (log (- (log (+ h0 1.0)) (log h0)))
 (log 1)
 (log (- (log (+ h0 1.0)) (log h0)))
 (log 1)
 (log (- (log (+ h0 1.0)) (log h0)))
 (log (- (pow (log (+ h0 1.0)) 3) (pow (log h0) 3)))
 (log (+ (* (log (+ h0 1.0)) (log (+ h0 1.0))) (+ (* (log h0) (log h0)) (* (log (+ h0 1.0)) (log h0)))))
 (log (- (* (log (+ h0 1.0)) (log (+ h0 1.0))) (* (log h0) (log h0))))
 (log (+ (log (+ h0 1.0)) (log h0)))
 (log (- (log (+ h0 1.0)) (log h0)))
 (log (log (- (log (+ h0 1.0)) (log h0))))
 (exp (log (- (log (+ h0 1.0)) (log h0))))
 (* (cbrt (log (- (log (+ h0 1.0)) (log h0)))) (cbrt (log (- (log (+ h0 1.0)) (log h0)))))
 (cbrt (log (- (log (+ h0 1.0)) (log h0))))
 (* (* (log (- (log (+ h0 1.0)) (log h0))) (log (- (log (+ h0 1.0)) (log h0)))) (log (- (log (+ h0 1.0)) (log h0))))
 (sqrt (log (- (log (+ h0 1.0)) (log h0))))
 (sqrt (log (- (log (+ h0 1.0)) (log h0))))
 (- (+ (* 1.0 h0) (log 1.0)) (* (/ 1 2) (/ (pow h0 2) (pow 1.0 2))))
 (- (* 1.0 (/ 1 h0)) (+ (* (/ 1.0 2.0) (/ 1 (pow h0 2))) (log (/ 1 h0))))
 (- (+ (* 1.0 (/ 1 h0)) (log -1)) (+ (* (/ 1.0 2.0) (/ 1 (pow h0 2))) (log (/ -1 h0))))
 (- (+ (* 1.0 h0) (log 1.0)) (+ (* (/ 1 2) (/ (pow h0 2) (pow 1.0 2))) (log h0)))
 (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2))))
 (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2))))
 (- (+ (* 1.0 h0) (log 1.0)) (+ (* (/ 1 2) (/ (pow h0 2) (pow 1.0 2))) (log h0)))
 (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2))))
 (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2))))
 (- (+ (log (- (log 1.0) (log h0))) (* 1.0 (/ h0 (- (log 1.0) (log h0))))) (+ (* (/ 1 2) (/ (pow h0 2) (* (pow 1.0 2) (- (log 1.0) (log h0))))) (* (/ 1.0 2.0) (/ (pow h0 2) (pow (- (log 1.0) (log h0)) 2)))))
 (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 2))) (+ (log 1.0) (log (/ 1 h0)))) (+ (* (/ 1.0 8.0) (/ 1 (* (pow h0 2) (pow 1.0 2)))) (* (/ 1.0 2.0) (/ 1 h0))))
 (- (+ (log (- 1.0)) (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 2))) (log (/ -1 h0)))) (+ (* (/ 1.0 8.0) (/ 1 (* (pow h0 2) (pow -1.0 2)))) (* (/ 1.0 2.0) (/ 1 h0))))
3.084 * * * [progress]: adding candidates to table
3.324 * [progress]: [Phase 3 of 3] Extracting.
3.324 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))> #<alt (λ (N) (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (/ 1.0 N)))> #<alt (λ (N) (pow E (log (- (log (+ N 1.0)) (log N)))))>)
3.326 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N)
3.326 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (#<alt (λ (N) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))> #<alt (λ (N) (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (/ 1.0 N)))> #<alt (λ (N) (pow E (log (- (log (+ N 1.0)) (log N)))))>)
3.372 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))> #<alt (λ (N) (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (/ 1.0 N)))> #<alt (λ (N) (pow E (log (- (log (+ N 1.0)) (log N)))))>)
3.403 * * * [regime]: Found split indices: #<option (#s(si 1 121) #s(si 0 255))>
3.407 * [binary-search]: Only using regimes for bounds on (- (log (+ N 1.0)) (log N)) and (#<alt (λ (N) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))> #<alt (λ (N) (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (/ 1.0 N)))> #<alt (λ (N) (pow E (log (- (log (+ N 1.0)) (log N)))))>)
3.408 * [regimes]: Found splitpoints: (#s(sp 1 (- (log (+ N 1.0)) (log N)) 1.4525482683325208e-07) #s(sp 0 (- (log (+ N 1.0)) (log N)) +nan.0)) , with alts (#<alt (λ (N) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))> #<alt (λ (N) (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (/ 1.0 N)))> #<alt (λ (N) (pow E (log (- (log (+ N 1.0)) (log N)))))>)
3.408 * [simplify]: Simplifying:
  (if (<= (- (log (+ N 1.0)) (log N)) 1.4525482683325208e-07) (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (/ 1.0 N)) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))
3.408 * [simplify]: Sending expressions to egg_math:
 (if (<= (- (log (+ h0 1.0)) (log h0)) (/ 40885599.0 281474976710656.0)) (+ (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (/ 1.0 h0)) (log (* (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)))))
6.932 * [regime-testing]: Baseline error score: 29.368675680430236
6.935 * [regime-testing]: Oracle error score: 0.05727918625998006
6.942 * [regime-testing]: End program error score: 0.1278702927964168