16.423 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.076 * * * [progress]: [2/2] Setting up program.
0.078 * [progress]: [Phase 2 of 3] Improving.
0.079 * [simplify]: Simplifying:
  (- (log (+ N 1.0)) (log N))
0.079 * * [simplify]: Extracting # 0 : cost  0
0.079 * * [simplify]: Extracting # 1 : cost  0
0.079 * * [simplify]: Extracting # 2 : cost  0
0.079 * * [simplify]: Extracting # 3 : cost  0
0.079 * * [simplify]: Extracting # 4 : cost  0
0.079 * * [simplify]: Extracting # 5 : cost  0
0.079 * * [simplify]: iteration  0 :  6  enodes  (cost  7 )
0.080 * * [simplify]: Extracting # 0 : cost  0
0.080 * * [simplify]: Extracting # 1 : cost  0
0.080 * * [simplify]: Extracting # 2 : cost  0
0.080 * * [simplify]: iteration  1 :  9  enodes  (cost  7 )
0.081 * * [simplify]: Extracting # 0 : cost  0
0.081 * * [simplify]: iteration  2 :  10  enodes  (cost  7 )
0.083 * * [simplify]: Extracting # 0 : cost  0
0.083 * * [simplify]: iteration done:  10  enodes  (cost  7 )
0.083 * [simplify]: Simplified to:
  (- (log (+ N 1.0)) (log N))
0.083 * * [progress]: iteration 1 / 4
0.083 * * * [progress]: picking best candidate
0.085 * * * * [pick]: Picked  #<alt (λ (N) (- (log (+ N 1.0)) (log N)))>
0.085 * * * [progress]: localizing error
0.096 * * * [progress]: generating rewritten candidates
0.096 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.107 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.138 * * * [progress]: generating series expansions
0.138 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.138 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0))
0.138 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0
0.138 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.138 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.138 * [taylor]: Taking taylor expansion of N in N
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.138 * [taylor]: Taking taylor expansion of 1.0 in N
0.138 * [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)
0.140 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.140 * [backup-simplify]: Simplify (+ 1 0) into 1
0.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
0.144 * [backup-simplify]: Simplify 1.0 into 1.0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [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))
0.151 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2))
0.152 * [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))))
0.152 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0))
0.152 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0
0.152 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.152 * [taylor]: Taking taylor expansion of N in N
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (/ 1 1) into 1
0.152 * [taylor]: Taking taylor expansion of 1.0 in N
0.152 * [backup-simplify]: Simplify 1.0 into 1.0
0.153 * [backup-simplify]: Simplify (+ 1 0) into 1
0.153 * [backup-simplify]: Simplify (log 1) into 0
0.153 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.153 * [taylor]: Taking taylor expansion of N in N
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (/ 1 1) into 1
0.153 * [taylor]: Taking taylor expansion of 1.0 in N
0.153 * [backup-simplify]: Simplify 1.0 into 1.0
0.154 * [backup-simplify]: Simplify (+ 1 0) into 1
0.154 * [backup-simplify]: Simplify (log 1) into 0
0.154 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.154 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
0.159 * [backup-simplify]: Simplify 1.0 into 1.0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (+ 0 0) into 0
0.192 * [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
0.193 * [backup-simplify]: Simplify -0.5 into -0.5
0.193 * [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))))
0.193 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N)))
0.193 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0
0.193 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.193 * [taylor]: Taking taylor expansion of 1.0 in N
0.193 * [backup-simplify]: Simplify 1.0 into 1.0
0.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.193 * [taylor]: Taking taylor expansion of N in N
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.194 * [backup-simplify]: Simplify (/ 1 1) into 1
0.195 * [backup-simplify]: Simplify (- 1) into -1
0.197 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.198 * [backup-simplify]: Simplify (log -1) into (log -1)
0.198 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.198 * [taylor]: Taking taylor expansion of 1.0 in N
0.198 * [backup-simplify]: Simplify 1.0 into 1.0
0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.198 * [taylor]: Taking taylor expansion of N in N
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (/ 1 1) into 1
0.199 * [backup-simplify]: Simplify (- 1) into -1
0.199 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.200 * [backup-simplify]: Simplify (log -1) into (log -1)
0.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.201 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N))
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (- 0) into 0
0.203 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
0.210 * [backup-simplify]: Simplify -1.0 into -1.0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (- 0) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [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
0.224 * [backup-simplify]: Simplify -0.5 into -0.5
0.225 * [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))))
0.225 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.225 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N))
0.225 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0
0.225 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
0.225 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.225 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.225 * [taylor]: Taking taylor expansion of N in N
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [taylor]: Taking taylor expansion of 1.0 in N
0.225 * [backup-simplify]: Simplify 1.0 into 1.0
0.226 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.226 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.226 * [taylor]: Taking taylor expansion of (log N) in N
0.226 * [taylor]: Taking taylor expansion of N in N
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (log 1) into 0
0.227 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
0.227 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.227 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.227 * [taylor]: Taking taylor expansion of N in N
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [taylor]: Taking taylor expansion of 1.0 in N
0.227 * [backup-simplify]: Simplify 1.0 into 1.0
0.228 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.228 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.228 * [taylor]: Taking taylor expansion of (log N) in N
0.228 * [taylor]: Taking taylor expansion of N in N
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (log 1) into 0
0.229 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
0.229 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
0.230 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N))
0.230 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N))
0.231 * [backup-simplify]: Simplify (+ 1 0) into 1
0.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
0.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.238 * [backup-simplify]: Simplify (- 0) into 0
0.239 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.239 * [backup-simplify]: Simplify 1.0 into 1.0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [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))
0.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.253 * [backup-simplify]: Simplify (- 0) into 0
0.255 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2))))
0.258 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2))))
0.262 * [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)))
0.262 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))
0.262 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0
0.262 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
0.262 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.262 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.262 * [taylor]: Taking taylor expansion of N in N
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [taylor]: Taking taylor expansion of 1.0 in N
0.263 * [backup-simplify]: Simplify 1.0 into 1.0
0.263 * [backup-simplify]: Simplify (+ 1 0) into 1
0.264 * [backup-simplify]: Simplify (log 1) into 0
0.264 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.264 * [taylor]: Taking taylor expansion of N in N
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (/ 1 1) into 1
0.265 * [backup-simplify]: Simplify (log 1) into 0
0.265 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
0.265 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.265 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.265 * [taylor]: Taking taylor expansion of N in N
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (/ 1 1) into 1
0.265 * [taylor]: Taking taylor expansion of 1.0 in N
0.265 * [backup-simplify]: Simplify 1.0 into 1.0
0.266 * [backup-simplify]: Simplify (+ 1 0) into 1
0.266 * [backup-simplify]: Simplify (log 1) into 0
0.266 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.266 * [taylor]: Taking taylor expansion of N in N
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (/ 1 1) into 1
0.267 * [backup-simplify]: Simplify (log 1) into 0
0.268 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.268 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.268 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
0.268 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
0.268 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.279 * [backup-simplify]: Simplify (- 0) into 0
0.279 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.280 * [backup-simplify]: Simplify 1.0 into 1.0
0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [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
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.298 * [backup-simplify]: Simplify (- 0) into 0
0.298 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
0.298 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [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
0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.317 * [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
0.317 * [backup-simplify]: Simplify (- 0) into 0
0.318 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.318 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.318 * [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))))
0.319 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))
0.319 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0
0.319 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
0.319 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.319 * [taylor]: Taking taylor expansion of 1.0 in N
0.319 * [backup-simplify]: Simplify 1.0 into 1.0
0.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.319 * [taylor]: Taking taylor expansion of N in N
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [backup-simplify]: Simplify (/ 1 1) into 1
0.319 * [backup-simplify]: Simplify (- 1) into -1
0.320 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.320 * [backup-simplify]: Simplify (log -1) into (log -1)
0.320 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
0.320 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.320 * [taylor]: Taking taylor expansion of -1 in N
0.320 * [backup-simplify]: Simplify -1 into -1
0.320 * [taylor]: Taking taylor expansion of N in N
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (/ -1 1) into -1
0.321 * [backup-simplify]: Simplify (log -1) into (log -1)
0.321 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
0.321 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.321 * [taylor]: Taking taylor expansion of 1.0 in N
0.321 * [backup-simplify]: Simplify 1.0 into 1.0
0.321 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.321 * [taylor]: Taking taylor expansion of N in N
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (/ 1 1) into 1
0.321 * [backup-simplify]: Simplify (- 1) into -1
0.322 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.322 * [backup-simplify]: Simplify (log -1) into (log -1)
0.322 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
0.322 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.322 * [taylor]: Taking taylor expansion of -1 in N
0.322 * [backup-simplify]: Simplify -1 into -1
0.322 * [taylor]: Taking taylor expansion of N in N
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (/ -1 1) into -1
0.323 * [backup-simplify]: Simplify (log -1) into (log -1)
0.323 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.324 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.324 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
0.325 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (- 0) into 0
0.326 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
0.346 * [backup-simplify]: Simplify (- 0) into 0
0.347 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0)
0.347 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (- 0) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [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
0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
0.365 * [backup-simplify]: Simplify (- 0) into 0
0.366 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
0.366 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (- 0) into 0
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [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
0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.393 * [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
0.394 * [backup-simplify]: Simplify (- 0) into 0
0.394 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333)
0.395 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333)
0.397 * [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))))
0.397 * * * [progress]: simplifying candidates
0.399 * [simplify]: Simplifying:
  (expm1 (log (+ N 1.0)))
  (log1p (log (+ N 1.0)))
  (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)))
  (fma 1 (log (+ N 1.0)) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
  (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))
  (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N)))))
  (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))
  (fma 1 (log (+ N 1.0)) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
  (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))
  (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N)))))
  (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))
  (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
  (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))
  (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N)))))
  (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))
  (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma 1 (log (+ N 1.0)) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
  (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))
  (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N)))))
  (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))
  (fma 1 (log (+ N 1.0)) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (expm1 (- (log (+ N 1.0)) (log N)))
  (log1p (- (log (+ N 1.0)) (log N)))
  (- (log N))
  (- (log N))
  (- (log N))
  (- (log N))
  (/ (+ 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))))
0.402 * * [simplify]: Extracting # 0 : cost  0
0.402 * * [simplify]: Extracting # 1 : cost  0
0.403 * * [simplify]: Extracting # 2 : cost  0
0.403 * * [simplify]: Extracting # 3 : cost  0
0.403 * * [simplify]: Extracting # 4 : cost  0
0.404 * * [simplify]: Extracting # 5 : cost  0
0.404 * * [simplify]: Extracting # 6 : cost  0
0.404 * * [simplify]: Extracting # 7 : cost  0
0.404 * * [simplify]: Extracting # 8 : cost  0
0.405 * * [simplify]: Extracting # 9 : cost  0
0.405 * * [simplify]: iteration  0 :  127  enodes  (cost  1052 )
0.452 * * [simplify]: Extracting # 0 : cost  0
0.452 * * [simplify]: Extracting # 1 : cost  0
0.453 * * [simplify]: Extracting # 2 : cost  0
0.453 * * [simplify]: Extracting # 3 : cost  0
0.453 * * [simplify]: Extracting # 4 : cost  0
0.454 * * [simplify]: iteration  1 :  288  enodes  (cost  863 )
0.696 * * [simplify]: Extracting # 0 : cost  0
0.699 * * [simplify]: Extracting # 1 : cost  0
0.701 * * [simplify]: Extracting # 2 : cost  0
0.704 * * [simplify]: Extracting # 3 : cost  0
0.706 * * [simplify]: iteration  2 :  1086  enodes  (cost  705 )
1.611 * * [simplify]: Extracting # 0 : cost  0
1.625 * * [simplify]: Extracting # 1 : cost  0
1.630 * * [simplify]: Extracting # 2 : cost  0
1.636 * * [simplify]: Extracting # 3 : cost  0
1.641 * * [simplify]: Extracting # 4 : cost  0
1.653 * * [simplify]: iteration done:  5001  enodes  (cost  614 )
1.654 * [simplify]: Simplified to:
  (expm1 (log (+ N 1.0)))
  (log1p (log (+ N 1.0)))
  (* 2 (log (cbrt (+ N 1.0))))
  (log (cbrt (+ N 1.0)))
  (log (sqrt (+ N 1.0)))
  (log (sqrt (+ N 1.0)))
  0
  (log (+ N 1.0))
  0
  (log (+ N 1.0))
  (log (+ (pow N 3) (pow 1.0 3)))
  (log (fma N N (* 1.0 (- 1.0 N))))
  (log (- (* N N) (* 1.0 1.0)))
  (log (- N 1.0))
  (log (+ N 1.0))
  (log (log (+ N 1.0)))
  (+ N 1.0)
  (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))
  (cbrt (log (+ N 1.0)))
  (pow (log (+ N 1.0)) 3)
  (sqrt (log (+ N 1.0)))
  (sqrt (log (+ N 1.0)))
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (pow (cbrt (log (+ N 1.0))) 3) (log N))
  0
  (- (pow (cbrt (log (+ N 1.0))) 3) (log N))
  0
  (- (pow (cbrt (log (+ N 1.0))) 3) (log N))
  0
  (- (pow (cbrt (log (+ N 1.0))) 3) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (expm1 (- (log (+ N 1.0)) (log N)))
  (log1p (- (log (+ N 1.0)) (log N)))
  (- (log N))
  (- (log N))
  (- (log N))
  (- (log N))
  (/ (+ N 1.0) N)
  (log (- (log (+ N 1.0)) (log N)))
  (/ (+ N 1.0) N)
  (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N))))
  (cbrt (- (log (+ N 1.0)) (log N)))
  (pow (- (log (+ N 1.0)) (log N)) 3)
  (sqrt (- (log (+ N 1.0)) (log N)))
  (sqrt (- (log (+ N 1.0)) (log N)))
  (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))
  (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))))
  (- (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)) (* 2 (log (cbrt N))))
  (- (log (+ N 1.0)) (log (sqrt N)))
  (log (+ N 1.0))
  (- (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 (fma N N (* 1.0 (- 1.0 N)))) (log N))
  (+ (log (- N 1.0)) (log N))
  (- (log N))
  (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0)))
  (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N)))
  (+ (- (log -1) (+ (log (/ -1 N)) (/ 0.5 (* N N)))) (/ 1.0 N))
  (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
1.655 * * * [progress]: adding candidates to table
1.868 * * [progress]: iteration 2 / 4
1.869 * * * [progress]: picking best candidate
1.878 * * * * [pick]: Picked  #<alt (λ (N) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))>
1.879 * * * [progress]: localizing error
1.900 * * * [progress]: generating rewritten candidates
1.900 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
2.117 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2)
2.132 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
2.149 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
2.226 * * * [progress]: generating series expansions
2.226 * * * * [progress]: [ 1 / 4 ] generating series at (2)
2.227 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
2.227 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0
2.227 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N
2.227 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N
2.227 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N
2.227 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.227 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.227 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
2.228 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.228 * [taylor]: Taking taylor expansion of N in N
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify 1 into 1
2.229 * [backup-simplify]: Simplify (* 1 1) into 1
2.229 * [backup-simplify]: Simplify (* 1 1) into 1
2.230 * [backup-simplify]: Simplify (/ 1 1) into 1
2.230 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
2.230 * [taylor]: Taking taylor expansion of 1.0 in N
2.230 * [backup-simplify]: Simplify 1.0 into 1.0
2.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.230 * [taylor]: Taking taylor expansion of N in N
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify 1 into 1
2.230 * [backup-simplify]: Simplify (/ 1 1) into 1
2.230 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N
2.230 * [taylor]: Taking taylor expansion of 0.5 in N
2.230 * [backup-simplify]: Simplify 0.5 into 0.5
2.230 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.230 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.230 * [taylor]: Taking taylor expansion of N in N
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify 1 into 1
2.231 * [backup-simplify]: Simplify (* 1 1) into 1
2.231 * [backup-simplify]: Simplify (/ 1 1) into 1
2.231 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N
2.231 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N
2.231 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N
2.231 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.231 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.231 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
2.231 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.232 * [taylor]: Taking taylor expansion of N in N
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify 1 into 1
2.232 * [backup-simplify]: Simplify (* 1 1) into 1
2.232 * [backup-simplify]: Simplify (* 1 1) into 1
2.233 * [backup-simplify]: Simplify (/ 1 1) into 1
2.233 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
2.233 * [taylor]: Taking taylor expansion of 1.0 in N
2.233 * [backup-simplify]: Simplify 1.0 into 1.0
2.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.233 * [taylor]: Taking taylor expansion of N in N
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 1 into 1
2.233 * [backup-simplify]: Simplify (/ 1 1) into 1
2.233 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N
2.233 * [taylor]: Taking taylor expansion of 0.5 in N
2.233 * [backup-simplify]: Simplify 0.5 into 0.5
2.233 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.233 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.233 * [taylor]: Taking taylor expansion of N in N
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 1 into 1
2.234 * [backup-simplify]: Simplify (* 1 1) into 1
2.234 * [backup-simplify]: Simplify (/ 1 1) into 1
2.235 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
2.235 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.236 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.236 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.238 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
2.239 * [backup-simplify]: Simplify (+ 0 0) into 0
2.239 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.240 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.240 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
2.241 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.244 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
2.245 * [backup-simplify]: Simplify (* 1.0 1) into 1.0
2.245 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.247 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.248 * [backup-simplify]: Simplify (- 0) into 0
2.248 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.248 * [backup-simplify]: Simplify 1.0 into 1.0
2.249 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))
2.250 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))
2.250 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0
2.250 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N
2.250 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N
2.250 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
2.250 * [taylor]: Taking taylor expansion of 1.0 in N
2.250 * [backup-simplify]: Simplify 1.0 into 1.0
2.250 * [taylor]: Taking taylor expansion of N in N
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 1 into 1
2.250 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
2.250 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.250 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.250 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.250 * [taylor]: Taking taylor expansion of N in N
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 1 into 1
2.250 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.250 * [taylor]: Taking taylor expansion of 0.5 in N
2.250 * [backup-simplify]: Simplify 0.5 into 0.5
2.250 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.250 * [taylor]: Taking taylor expansion of N in N
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 1 into 1
2.251 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N
2.251 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N
2.251 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
2.251 * [taylor]: Taking taylor expansion of 1.0 in N
2.251 * [backup-simplify]: Simplify 1.0 into 1.0
2.251 * [taylor]: Taking taylor expansion of N in N
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify 1 into 1
2.251 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
2.251 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.251 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.251 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.251 * [taylor]: Taking taylor expansion of N in N
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify 1 into 1
2.251 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.251 * [taylor]: Taking taylor expansion of 0.5 in N
2.251 * [backup-simplify]: Simplify 0.5 into 0.5
2.251 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.251 * [taylor]: Taking taylor expansion of N in N
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify 1 into 1
2.252 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.252 * [backup-simplify]: Simplify (+ 0 0) into 0
2.253 * [backup-simplify]: Simplify (+ 0 0) into 0
2.253 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
2.254 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.255 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.255 * [backup-simplify]: Simplify 1.0 into 1.0
2.256 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0
2.257 * [backup-simplify]: Simplify (+ 0 0) into 0
2.257 * [backup-simplify]: Simplify (* 1 1) into 1
2.258 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.258 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.259 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
2.259 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.261 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.261 * [backup-simplify]: Simplify (* 1 1) into 1
2.261 * [backup-simplify]: Simplify (* 1 1) into 1
2.262 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
2.262 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333
2.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.264 * [backup-simplify]: Simplify (- 0) into 0
2.264 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.264 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.265 * [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))))
2.266 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))
2.266 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0
2.266 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N
2.266 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N
2.266 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.266 * [taylor]: Taking taylor expansion of 0.5 in N
2.266 * [backup-simplify]: Simplify 0.5 into 0.5
2.266 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.266 * [taylor]: Taking taylor expansion of N in N
2.266 * [backup-simplify]: Simplify 0 into 0
2.266 * [backup-simplify]: Simplify 1 into 1
2.266 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N
2.266 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
2.266 * [taylor]: Taking taylor expansion of 1.0 in N
2.266 * [backup-simplify]: Simplify 1.0 into 1.0
2.266 * [taylor]: Taking taylor expansion of N in N
2.266 * [backup-simplify]: Simplify 0 into 0
2.266 * [backup-simplify]: Simplify 1 into 1
2.267 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
2.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.267 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.267 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.267 * [taylor]: Taking taylor expansion of N in N
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 1 into 1
2.267 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N
2.267 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N
2.267 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.267 * [taylor]: Taking taylor expansion of 0.5 in N
2.267 * [backup-simplify]: Simplify 0.5 into 0.5
2.267 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.267 * [taylor]: Taking taylor expansion of N in N
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 1 into 1
2.267 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N
2.267 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
2.267 * [taylor]: Taking taylor expansion of 1.0 in N
2.267 * [backup-simplify]: Simplify 1.0 into 1.0
2.267 * [taylor]: Taking taylor expansion of N in N
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 1 into 1
2.267 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
2.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.267 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.267 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.268 * [taylor]: Taking taylor expansion of N in N
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.268 * [backup-simplify]: Simplify (+ 0 0) into 0
2.269 * [backup-simplify]: Simplify (+ 0 0) into 0
2.269 * [backup-simplify]: Simplify (- 0) into 0
2.269 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
2.271 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.271 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.272 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.272 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.273 * [backup-simplify]: Simplify (* 1 1) into 1
2.273 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.274 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0
2.274 * [backup-simplify]: Simplify (+ 0 0) into 0
2.275 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5
2.275 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.275 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.278 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.278 * [backup-simplify]: Simplify (* 1 1) into 1
2.279 * [backup-simplify]: Simplify (* 1 1) into 1
2.279 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
2.279 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333
2.280 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333
2.280 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333)
2.280 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333)
2.282 * [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))))
2.282 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2)
2.282 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2))
2.282 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0
2.282 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N
2.282 * [taylor]: Taking taylor expansion of 0.5 in N
2.282 * [backup-simplify]: Simplify 0.5 into 0.5
2.282 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.283 * [taylor]: Taking taylor expansion of N in N
2.283 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify 1 into 1
2.290 * [backup-simplify]: Simplify (* 1 1) into 1
2.291 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
2.291 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N
2.291 * [taylor]: Taking taylor expansion of 0.5 in N
2.291 * [backup-simplify]: Simplify 0.5 into 0.5
2.291 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.291 * [taylor]: Taking taylor expansion of N in N
2.291 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify 1 into 1
2.292 * [backup-simplify]: Simplify (* 1 1) into 1
2.292 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
2.292 * [backup-simplify]: Simplify 0.5 into 0.5
2.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
2.294 * [backup-simplify]: Simplify 0 into 0
2.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.295 * [backup-simplify]: Simplify 0 into 0
2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.297 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.300 * [backup-simplify]: Simplify 0 into 0
2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.302 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.305 * [backup-simplify]: Simplify 0 into 0
2.305 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2))
2.305 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2))
2.305 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0
2.305 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.305 * [taylor]: Taking taylor expansion of 0.5 in N
2.305 * [backup-simplify]: Simplify 0.5 into 0.5
2.305 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.305 * [taylor]: Taking taylor expansion of N in N
2.305 * [backup-simplify]: Simplify 0 into 0
2.305 * [backup-simplify]: Simplify 1 into 1
2.305 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.306 * [taylor]: Taking taylor expansion of 0.5 in N
2.306 * [backup-simplify]: Simplify 0.5 into 0.5
2.306 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.306 * [taylor]: Taking taylor expansion of N in N
2.306 * [backup-simplify]: Simplify 0 into 0
2.306 * [backup-simplify]: Simplify 1 into 1
2.306 * [backup-simplify]: Simplify (* 1 1) into 1
2.306 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.307 * [backup-simplify]: Simplify 0.5 into 0.5
2.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.308 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.308 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.310 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
2.310 * [backup-simplify]: Simplify 0 into 0
2.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.312 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.312 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.314 * [backup-simplify]: Simplify 0 into 0
2.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.317 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.317 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.320 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.320 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2))
2.321 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2))
2.321 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0
2.321 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.321 * [taylor]: Taking taylor expansion of 0.5 in N
2.321 * [backup-simplify]: Simplify 0.5 into 0.5
2.321 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.321 * [taylor]: Taking taylor expansion of N in N
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.321 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.321 * [taylor]: Taking taylor expansion of 0.5 in N
2.321 * [backup-simplify]: Simplify 0.5 into 0.5
2.321 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.321 * [taylor]: Taking taylor expansion of N in N
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.322 * [backup-simplify]: Simplify (* 1 1) into 1
2.322 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.322 * [backup-simplify]: Simplify 0.5 into 0.5
2.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.324 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.326 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
2.326 * [backup-simplify]: Simplify 0 into 0
2.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.328 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.330 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.330 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.333 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.333 * [backup-simplify]: Simplify 0 into 0
2.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.337 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.337 * [backup-simplify]: Simplify 0 into 0
2.337 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2))
2.337 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
2.337 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3))
2.337 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0
2.337 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N
2.337 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.337 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.337 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.338 * [taylor]: Taking taylor expansion of N in N
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 1 into 1
2.338 * [backup-simplify]: Simplify (* 1 1) into 1
2.338 * [backup-simplify]: Simplify (* 1 1) into 1
2.339 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333
2.339 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N
2.339 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.339 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.339 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.339 * [taylor]: Taking taylor expansion of N in N
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify 1 into 1
2.339 * [backup-simplify]: Simplify (* 1 1) into 1
2.340 * [backup-simplify]: Simplify (* 1 1) into 1
2.340 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333
2.340 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0
2.343 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.346 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.350 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.354 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.359 * [backup-simplify]: Simplify 0 into 0
2.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.363 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3))
2.363 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3))
2.363 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0
2.363 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
2.363 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.363 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.363 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.363 * [taylor]: Taking taylor expansion of N in N
2.363 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify 1 into 1
2.363 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
2.364 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.364 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.364 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.364 * [taylor]: Taking taylor expansion of N in N
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify 1 into 1
2.364 * [backup-simplify]: Simplify (* 1 1) into 1
2.364 * [backup-simplify]: Simplify (* 1 1) into 1
2.364 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
2.364 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.366 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.367 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
2.367 * [backup-simplify]: Simplify 0 into 0
2.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.369 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.369 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.371 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.371 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.374 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.374 * [backup-simplify]: Simplify 0 into 0
2.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.376 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3))
2.377 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3))
2.377 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0
2.377 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N
2.377 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N
2.377 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333
2.377 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.377 * [taylor]: Taking taylor expansion of N in N
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [backup-simplify]: Simplify 1 into 1
2.377 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N
2.377 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N
2.377 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333
2.377 * [taylor]: Taking taylor expansion of (pow N 3) in N
2.377 * [taylor]: Taking taylor expansion of N in N
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [backup-simplify]: Simplify 1 into 1
2.377 * [backup-simplify]: Simplify (* 1 1) into 1
2.377 * [backup-simplify]: Simplify (* 1 1) into 1
2.378 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333
2.378 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333
2.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.379 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0
2.379 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.381 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
2.381 * [backup-simplify]: Simplify 0 into 0
2.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.383 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.385 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.385 * [backup-simplify]: Simplify 0 into 0
2.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.387 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.387 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.390 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3))
2.390 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
2.390 * [backup-simplify]: Simplify (- (/ 1.0 N) (/ 0.5 (* N N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))
2.390 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0
2.390 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N
2.390 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
2.390 * [taylor]: Taking taylor expansion of 1.0 in N
2.390 * [backup-simplify]: Simplify 1.0 into 1.0
2.390 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.390 * [taylor]: Taking taylor expansion of N in N
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify 1 into 1
2.390 * [backup-simplify]: Simplify (/ 1 1) into 1
2.390 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N
2.390 * [taylor]: Taking taylor expansion of 0.5 in N
2.390 * [backup-simplify]: Simplify 0.5 into 0.5
2.391 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.391 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.391 * [taylor]: Taking taylor expansion of N in N
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 1 into 1
2.391 * [backup-simplify]: Simplify (* 1 1) into 1
2.391 * [backup-simplify]: Simplify (/ 1 1) into 1
2.391 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N
2.391 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
2.391 * [taylor]: Taking taylor expansion of 1.0 in N
2.391 * [backup-simplify]: Simplify 1.0 into 1.0
2.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.391 * [taylor]: Taking taylor expansion of N in N
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 1 into 1
2.391 * [backup-simplify]: Simplify (/ 1 1) into 1
2.391 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N
2.392 * [taylor]: Taking taylor expansion of 0.5 in N
2.392 * [backup-simplify]: Simplify 0.5 into 0.5
2.392 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.392 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.392 * [taylor]: Taking taylor expansion of N in N
2.392 * [backup-simplify]: Simplify 0 into 0
2.392 * [backup-simplify]: Simplify 1 into 1
2.392 * [backup-simplify]: Simplify (* 1 1) into 1
2.392 * [backup-simplify]: Simplify (/ 1 1) into 1
2.392 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.393 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.393 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
2.393 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.394 * [backup-simplify]: Simplify (* 1.0 1) into 1.0
2.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.395 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.395 * [backup-simplify]: Simplify (- 0) into 0
2.395 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.395 * [backup-simplify]: Simplify 1.0 into 1.0
2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.396 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
2.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.398 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
2.398 * [backup-simplify]: Simplify (- 0) into 0
2.398 * [backup-simplify]: Simplify (+ 0 0) into 0
2.398 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.399 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
2.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.401 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.401 * [backup-simplify]: Simplify (- 0) into 0
2.402 * [backup-simplify]: Simplify (+ 0 0) into 0
2.402 * [backup-simplify]: Simplify 0 into 0
2.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.403 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.406 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.407 * [backup-simplify]: Simplify (- 0) into 0
2.407 * [backup-simplify]: Simplify (+ 0 0) into 0
2.407 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.409 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.422 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.422 * [backup-simplify]: Simplify (- 0) into 0
2.423 * [backup-simplify]: Simplify (+ 0 0) into 0
2.423 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.425 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.429 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.430 * [backup-simplify]: Simplify (- 0) into 0
2.430 * [backup-simplify]: Simplify (+ 0 0) into 0
2.430 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.433 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
2.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.438 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
2.438 * [backup-simplify]: Simplify (- 0) into 0
2.439 * [backup-simplify]: Simplify (+ 0 0) into 0
2.439 * [backup-simplify]: Simplify 0 into 0
2.440 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))
2.440 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 1.0 N) (* 0.5 (pow N 2)))
2.440 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0
2.440 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N
2.440 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
2.440 * [taylor]: Taking taylor expansion of 1.0 in N
2.440 * [backup-simplify]: Simplify 1.0 into 1.0
2.440 * [taylor]: Taking taylor expansion of N in N
2.440 * [backup-simplify]: Simplify 0 into 0
2.440 * [backup-simplify]: Simplify 1 into 1
2.440 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.440 * [taylor]: Taking taylor expansion of 0.5 in N
2.440 * [backup-simplify]: Simplify 0.5 into 0.5
2.440 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.440 * [taylor]: Taking taylor expansion of N in N
2.440 * [backup-simplify]: Simplify 0 into 0
2.440 * [backup-simplify]: Simplify 1 into 1
2.440 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N
2.440 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
2.440 * [taylor]: Taking taylor expansion of 1.0 in N
2.441 * [backup-simplify]: Simplify 1.0 into 1.0
2.441 * [taylor]: Taking taylor expansion of N in N
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify 1 into 1
2.441 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.441 * [taylor]: Taking taylor expansion of 0.5 in N
2.441 * [backup-simplify]: Simplify 0.5 into 0.5
2.441 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.441 * [taylor]: Taking taylor expansion of N in N
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify 1 into 1
2.441 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.442 * [backup-simplify]: Simplify (+ 0 0) into 0
2.442 * [backup-simplify]: Simplify 0 into 0
2.443 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
2.444 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.444 * [backup-simplify]: Simplify 1.0 into 1.0
2.445 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0
2.445 * [backup-simplify]: Simplify (* 1 1) into 1
2.446 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.446 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.447 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
2.447 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.448 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.450 * [backup-simplify]: Simplify (- 0) into 0
2.451 * [backup-simplify]: Simplify (+ 0 0) into 0
2.451 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.454 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
2.454 * [backup-simplify]: Simplify (- 0) into 0
2.455 * [backup-simplify]: Simplify (+ 0 0) into 0
2.455 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.458 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.459 * [backup-simplify]: Simplify (- 0) into 0
2.459 * [backup-simplify]: Simplify (+ 0 0) into 0
2.459 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
2.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.463 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.464 * [backup-simplify]: Simplify (- 0) into 0
2.464 * [backup-simplify]: Simplify (+ 0 0) into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.469 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.469 * [backup-simplify]: Simplify (- 0) into 0
2.470 * [backup-simplify]: Simplify (+ 0 0) into 0
2.470 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
2.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.475 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.475 * [backup-simplify]: Simplify (- 0) into 0
2.475 * [backup-simplify]: Simplify (+ 0 0) into 0
2.475 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))
2.476 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 1.0 N)))
2.477 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0
2.477 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N
2.477 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N
2.477 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.477 * [taylor]: Taking taylor expansion of 0.5 in N
2.477 * [backup-simplify]: Simplify 0.5 into 0.5
2.477 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.477 * [taylor]: Taking taylor expansion of N in N
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
2.477 * [taylor]: Taking taylor expansion of 1.0 in N
2.477 * [backup-simplify]: Simplify 1.0 into 1.0
2.477 * [taylor]: Taking taylor expansion of N in N
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N
2.477 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N
2.477 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
2.477 * [taylor]: Taking taylor expansion of 0.5 in N
2.477 * [backup-simplify]: Simplify 0.5 into 0.5
2.477 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.477 * [taylor]: Taking taylor expansion of N in N
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
2.477 * [taylor]: Taking taylor expansion of 1.0 in N
2.477 * [backup-simplify]: Simplify 1.0 into 1.0
2.477 * [taylor]: Taking taylor expansion of N in N
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.478 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.478 * [backup-simplify]: Simplify (+ 0 0) into 0
2.479 * [backup-simplify]: Simplify (- 0) into 0
2.479 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
2.481 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.481 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.482 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.482 * [backup-simplify]: Simplify (* 1 1) into 1
2.483 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.484 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0
2.484 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5
2.485 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.485 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.487 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.488 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.488 * [backup-simplify]: Simplify (+ 0 0) into 0
2.489 * [backup-simplify]: Simplify (- 0) into 0
2.489 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.491 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
2.492 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.493 * [backup-simplify]: Simplify (+ 0 0) into 0
2.493 * [backup-simplify]: Simplify (- 0) into 0
2.493 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.495 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.497 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
2.497 * [backup-simplify]: Simplify (+ 0 0) into 0
2.498 * [backup-simplify]: Simplify (- 0) into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.500 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.502 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
2.502 * [backup-simplify]: Simplify (+ 0 0) into 0
2.502 * [backup-simplify]: Simplify (- 0) into 0
2.502 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.505 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.507 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
2.507 * [backup-simplify]: Simplify (+ 0 0) into 0
2.508 * [backup-simplify]: Simplify (- 0) into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.511 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.513 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
2.514 * [backup-simplify]: Simplify (+ 0 0) into 0
2.514 * [backup-simplify]: Simplify (- 0) into 0
2.514 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))
2.516 * * * [progress]: simplifying candidates
2.528 * [simplify]: Simplifying:
  (expm1 (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (log1p (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (* (exp (/ 0.3333333333333333 (pow N 3))) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))))
  (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))))
  (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (* (* (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (+ (* 0.3333333333333333 (* N (* N N))) (* (pow N 3) (- (* 1.0 (* N N)) (* N 0.5))))
  (* (pow N 3) (* N (* N N)))
  (+ (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (* (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))))
  (* (pow N 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))))
  (+ (* 0.3333333333333333 (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))))
  (* (pow N 3) (+ (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3))
  (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))))
  (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 0.5 N) (/ 1 N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 0.5 (* N N)) 1))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (/ 0.5 N) (/ 1 N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (/ 0.5 (* N N)) 1))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ 0.5 N) (/ 1 N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ 0.5 (* N N)) 1))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ 1 (* N N)) 0.5))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (/ 0.5 N) (/ 1 N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (/ 0.5 (* N N)) 1))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (/ 1 (* N N)) 0.5))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) N) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) N) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) N) (- (* (/ 0.5 N) (/ 1 N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) N) (- (* (/ 0.5 (* N N)) 1))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) N) (- (* (/ 1 (* N N)) 0.5))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (* (/ 0.5 N) (/ 1 N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (* (/ 0.5 (* N N)) 1))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (* (/ 1 (* N N)) 0.5))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (* (/ 0.5 N) (/ 1 N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (* (/ 0.5 (* N N)) 1))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (* (/ 1 (* N N)) 0.5))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (/ 0.5 N) (/ 1 N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (/ 0.5 (* N N)) 1))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (/ 1 (* N N)) 0.5))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ 0.5 N) (/ 1 N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ 0.5 (* N N)) 1))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ 1 (* N N)) 0.5))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ 0.5 N) (/ 1 N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ 0.5 (* N N)) 1))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ 1 (* N N)) 0.5))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 1) (/ 1.0 N) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 1) (/ 1.0 N) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 1) (/ 1.0 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 1) (/ 1.0 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 1) (/ 1.0 N) (- (* (/ 0.5 N) (/ 1 N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 1) (/ 1.0 N) (- (* (/ 0.5 (* N N)) 1))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ 1 1) (/ 1.0 N) (- (* (/ 1 (* N N)) 0.5))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma 1 (/ 1.0 N) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma 1 (/ 1.0 N) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma 1 (/ 1.0 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma 1 (/ 1.0 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma 1 (/ 1.0 N) (- (* (/ 0.5 N) (/ 1 N)))))
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  (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))
  (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))))
  (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))
  (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))))
  (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))
  (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))
  (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))
  (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (/ 0.5 N) (/ 1 N))))
  (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))
  (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (/ 0.5 (* N N)) 1)))
  (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1))
  (fma (/ (sqrt 1.0) 1) (/ (sqrt 1.0) N) (- (* (/ 1 (* N N)) 0.5)))
  (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))))
  (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))))
  (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ 0.5 N) (/ 1 N))))
  (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ 0.5 (* N N)) 1)))
  (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ 1 (* N N)) 0.5)))
  (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))))
  (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))))
  (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ 0.5 N) (/ 1 N))))
  (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ 0.5 (* N N)) 1)))
  (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ 1 (* N N)) 0.5)))
  (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))
  (fma (/ 1 1) (/ 1.0 N) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))))
  (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))
  (fma (/ 1 1) (/ 1.0 N) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))))
  (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))
  (fma (/ 1 1) (/ 1.0 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))
  (fma (/ 1 1) (/ 1.0 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))
  (fma (/ 1 1) (/ 1.0 N) (- (* (/ 0.5 N) (/ 1 N))))
  (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))
  (fma (/ 1 1) (/ 1.0 N) (- (* (/ 0.5 (* N N)) 1)))
  (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1))
  (fma (/ 1 1) (/ 1.0 N) (- (* (/ 1 (* N N)) 0.5)))
  (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))
  (fma 1 (/ 1.0 N) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))))
  (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))
  (fma 1 (/ 1.0 N) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))))
  (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))
  (fma 1 (/ 1.0 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))
  (fma 1 (/ 1.0 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))
  (fma 1 (/ 1.0 N) (- (* (/ 0.5 N) (/ 1 N))))
  (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))
  (fma 1 (/ 1.0 N) (- (* (/ 0.5 (* N N)) 1)))
  (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1))
  (fma 1 (/ 1.0 N) (- (* (/ 1 (* N N)) 0.5)))
  (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))
  (fma 1.0 (/ 1 N) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))))
  (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))
  (fma 1.0 (/ 1 N) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))))
  (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))
  (fma 1.0 (/ 1 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))
  (fma 1.0 (/ 1 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))
  (fma 1.0 (/ 1 N) (- (* (/ 0.5 N) (/ 1 N))))
  (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))
  (fma 1.0 (/ 1 N) (- (* (/ 0.5 (* N N)) 1)))
  (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1))
  (fma 1.0 (/ 1 N) (- (* (/ 1 (* N N)) 0.5)))
  (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))
  (expm1 (- (/ 1.0 N) (/ 0.5 (* N N))))
  (log1p (- (/ 1.0 N) (/ 0.5 (* N N))))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N))))
  (log (- (/ 1.0 N) (/ 0.5 (* N N))))
  (exp (- (/ 1.0 N) (/ 0.5 (* N N))))
  (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))
  (* (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))
  (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))
  (- (* 1.0 (* N N)) (* N 0.5))
  (* N (* N N))
  (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))
  (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))
  (- (/ 0.5 (* N N)))
  (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))
  (+ (/ 1.0 N) (/ 0.5 (* N N)))
  (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))
  (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))
  (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))
  (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))
  (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N))))
  (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N))))
  (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N))
  (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (- (/ 0.5 (* N N)))
  (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 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))))
  (/ 0.5 (pow N 2))
  (/ 0.5 (pow N 2))
  (/ 0.5 (pow N 2))
  (/ 0.3333333333333333 (pow N 3))
  (/ 0.3333333333333333 (pow N 3))
  (/ 0.3333333333333333 (pow N 3))
  (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))
  (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))
  (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))
2.538 * * [simplify]: Extracting # 0 : cost  0
2.539 * * [simplify]: Extracting # 1 : cost  0
2.540 * * [simplify]: Extracting # 2 : cost  0
2.541 * * [simplify]: Extracting # 3 : cost  0
2.542 * * [simplify]: Extracting # 4 : cost  0
2.548 * * [simplify]: Extracting # 5 : cost  0
2.549 * * [simplify]: Extracting # 6 : cost  0
2.550 * * [simplify]: iteration  0 :  444  enodes  (cost  8644 )
2.697 * * [simplify]: Extracting # 0 : cost  0
2.700 * * [simplify]: Extracting # 1 : cost  0
2.701 * * [simplify]: Extracting # 2 : cost  0
2.703 * * [simplify]: Extracting # 3 : cost  0
2.705 * * [simplify]: Extracting # 4 : cost  0
2.706 * * [simplify]: iteration  1 :  1061  enodes  (cost  7221 )
3.222 * * [simplify]: Extracting # 0 : cost  0
3.230 * * [simplify]: Extracting # 1 : cost  0
3.243 * * [simplify]: Extracting # 2 : cost  0
3.250 * * [simplify]: Extracting # 3 : cost  0
3.262 * * [simplify]: Extracting # 4 : cost  0
3.274 * * [simplify]: iteration done:  5001  enodes  (cost  6378 )
3.277 * [simplify]: Simplified to:
  (expm1 (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (log1p (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))))
  (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (pow (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) 3)
  (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5))))
  (pow N 6)
  (fma 0.3333333333333333 (fma (/ 1.0 N) (/ 1.0 N) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) (* (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))))
  (* (fma (/ 1.0 N) (/ 1.0 N) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) (pow N 3))
  (fma 0.3333333333333333 (+ (/ 1.0 N) (/ 0.5 (* N N))) (* (pow N 3) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))))
  (* (pow N 3) (+ (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3))
  (fma (- (/ 1.0 N) (/ 0.5 (* N N))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)))
  (- (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (/ (/ 0.5 N) N))) (/ 0.3333333333333333 (pow N 3)))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (+ (/ 1.0 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (+ (/ 1.0 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (+ (/ 1.0 N) (- (/ (/ 0.5 N) N))) (/ 0.3333333333333333 (pow N 3)))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))
  (+ (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (/ 0.5 (* N N)))) (/ 0.3333333333333333 (pow N 3)))
  (+ (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (/ 0.5 (* N N)))) (/ 0.3333333333333333 (pow N 3)))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (/ (/ 0.5 N) N))))
  (+ (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (/ 0.5 (* N N)))) (/ 0.3333333333333333 (pow N 3)))
  (+ (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (/ 0.5 (* N N)))) (/ 0.3333333333333333 (pow N 3)))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) N) (/ (- 0.5) (* N N))))
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  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N)))
  (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N)))
  (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))
  (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))
  (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (/ (- 0.5) (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (/ (- 0.5) (* N N)))
  (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N))
  (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (/ (/ 0.5 N) N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (/ (/ 0.5 N) N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N)))
  (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N)))
  (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (/ (/ 0.5 N) N)))
  (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))
  (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (/ (/ 0.5 N) N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (/ (/ 0.5 N) N)))
  (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N))
  (fma (sqrt 1.0) (/ (sqrt 1.0) N) (/ (- 0.5) (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (sqrt 1.0) (/ (sqrt 1.0) N) (/ (- 0.5) (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (sqrt 1.0) (/ (sqrt 1.0) N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N)))
  (fma (sqrt 1.0) (/ (sqrt 1.0) N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N)))
  (fma (sqrt 1.0) (/ (sqrt 1.0) N) (- (/ (/ 0.5 N) N)))
  (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))
  (fma (sqrt 1.0) (/ (sqrt 1.0) N) (/ (- 0.5) (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (sqrt 1.0) (/ (sqrt 1.0) N) (/ (- 0.5) (* N N)))
  (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (/ (- 0.5) (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (/ (- 0.5) (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N)))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N)))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (/ (/ 0.5 N) N)))
  (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (/ (- 0.5) (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (/ (- 0.5) (* N N)))
  (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (/ (- 0.5) (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (/ (- 0.5) (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N)))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N)))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (/ (/ 0.5 N) N)))
  (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (/ (- 0.5) (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (/ (- 0.5) (* N N)))
  (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (+ (/ 1.0 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N)))
  (+ (/ 1.0 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N)))
  (+ (/ 1.0 N) (- (/ (/ 0.5 N) N)))
  (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (+ (/ 1.0 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N)))
  (+ (/ 1.0 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N)))
  (+ (/ 1.0 N) (- (/ (/ 0.5 N) N)))
  (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (+ (/ 1.0 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))
  (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N)))
  (+ (/ 1.0 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))
  (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N)))
  (+ (/ 1.0 N) (- (/ (/ 0.5 N) N)))
  (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (* (/ 0.5 (* N N)) (+ -1 1))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N))
  (expm1 (- (/ 1.0 N) (/ 0.5 (* N N))))
  (log1p (- (/ 1.0 N) (/ 0.5 (* N N))))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (/ (- 0.5) (* N N))
  (exp (- (/ 1.0 N) (/ 0.5 (* N N))))
  (log (- (/ 1.0 N) (/ 0.5 (* N N))))
  (exp (- (/ 1.0 N) (/ 0.5 (* N N))))
  (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))))
  (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))
  (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3)
  (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))
  (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))
  (* N (- (* 1.0 N) 0.5))
  (pow N 3)
  (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))
  (fma (/ 1.0 N) (/ 1.0 N) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))
  (/ (- 0.5) (* N N))
  (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))
  (+ (/ 1.0 N) (/ 0.5 (* N N)))
  (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))
  (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))
  (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))
  (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))
  (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N))))
  (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N))))
  (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N))
  (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (/ (- 0.5) (* N N))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (/ 0.5 (* N N))
  (/ 0.5 (* N N))
  (/ 0.5 (* N N))
  (/ 0.3333333333333333 (pow N 3))
  (/ 0.3333333333333333 (pow N 3))
  (/ 0.3333333333333333 (pow N 3))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
  (- (/ 1.0 N) (/ 0.5 (* N N)))
3.280 * * * [progress]: adding candidates to table
4.803 * * [progress]: iteration 3 / 4
4.803 * * * [progress]: picking best candidate
4.824 * * * * [pick]: Picked  #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))>
4.824 * * * [progress]: localizing error
4.897 * * * [progress]: generating rewritten candidates
4.897 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.897 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
4.952 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 2)
4.953 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 2)
4.960 * * * [progress]: generating series expansions
4.960 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.961 * [backup-simplify]: Simplify (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) into (fma (- (* 0.5 (/ 1 N))) (/ 1 N) (/ 0.5 (pow N 2)))
4.961 * [approximate]: Taking taylor expansion of (fma (- (* 0.5 (/ 1 N))) (/ 1 N) (/ 0.5 (pow N 2))) in (N) around 0
4.961 * [taylor]: Taking taylor expansion of (fma (- (* 0.5 (/ 1 N))) (/ 1 N) (/ 0.5 (pow N 2))) in N
4.961 * [taylor]: Rewrote expression to (+ (* (- (* 0.5 (/ 1 N))) (/ 1 N)) (/ 0.5 (pow N 2)))
4.961 * [taylor]: Taking taylor expansion of (* (- (* 0.5 (/ 1 N))) (/ 1 N)) in N
4.961 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 N))) in N
4.961 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N
4.961 * [taylor]: Taking taylor expansion of 0.5 in N
4.961 * [backup-simplify]: Simplify 0.5 into 0.5
4.961 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.961 * [taylor]: Taking taylor expansion of N in N
4.961 * [backup-simplify]: Simplify 0 into 0
4.961 * [backup-simplify]: Simplify 1 into 1
4.962 * [backup-simplify]: Simplify (/ 1 1) into 1
4.962 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.962 * [taylor]: Taking taylor expansion of N in N
4.962 * [backup-simplify]: Simplify 0 into 0
4.962 * [backup-simplify]: Simplify 1 into 1
4.962 * [backup-simplify]: Simplify (/ 1 1) into 1
4.962 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N
4.962 * [taylor]: Taking taylor expansion of 0.5 in N
4.962 * [backup-simplify]: Simplify 0.5 into 0.5
4.962 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.962 * [taylor]: Taking taylor expansion of N in N
4.963 * [backup-simplify]: Simplify 0 into 0
4.963 * [backup-simplify]: Simplify 1 into 1
4.963 * [backup-simplify]: Simplify (* 1 1) into 1
4.963 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
4.963 * [taylor]: Taking taylor expansion of (fma (- (* 0.5 (/ 1 N))) (/ 1 N) (/ 0.5 (pow N 2))) in N
4.964 * [taylor]: Rewrote expression to (+ (* (- (* 0.5 (/ 1 N))) (/ 1 N)) (/ 0.5 (pow N 2)))
4.964 * [taylor]: Taking taylor expansion of (* (- (* 0.5 (/ 1 N))) (/ 1 N)) in N
4.964 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 N))) in N
4.964 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N
4.964 * [taylor]: Taking taylor expansion of 0.5 in N
4.964 * [backup-simplify]: Simplify 0.5 into 0.5
4.964 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.964 * [taylor]: Taking taylor expansion of N in N
4.964 * [backup-simplify]: Simplify 0 into 0
4.964 * [backup-simplify]: Simplify 1 into 1
4.970 * [backup-simplify]: Simplify (/ 1 1) into 1
4.970 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.970 * [taylor]: Taking taylor expansion of N in N
4.970 * [backup-simplify]: Simplify 0 into 0
4.970 * [backup-simplify]: Simplify 1 into 1
4.971 * [backup-simplify]: Simplify (/ 1 1) into 1
4.971 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N
4.971 * [taylor]: Taking taylor expansion of 0.5 in N
4.971 * [backup-simplify]: Simplify 0.5 into 0.5
4.971 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.971 * [taylor]: Taking taylor expansion of N in N
4.971 * [backup-simplify]: Simplify 0 into 0
4.971 * [backup-simplify]: Simplify 1 into 1
4.972 * [backup-simplify]: Simplify (* 1 1) into 1
4.972 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
4.973 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
4.973 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
4.974 * [backup-simplify]: Simplify (* (- 0.5) 1) into -0.5
4.974 * [backup-simplify]: Simplify (+ -0.5 0.5) into 0
4.974 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
4.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.977 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
4.977 * [backup-simplify]: Simplify (- 0) into 0
4.978 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (* 0 1)) into 0
4.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
4.980 * [backup-simplify]: Simplify (+ 0 0) into 0
4.980 * [backup-simplify]: Simplify 0 into 0
4.980 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
4.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.982 * [backup-simplify]: Simplify (- 0) into 0
4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.983 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
4.984 * [backup-simplify]: Simplify (- 0) into 0
4.985 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 1))) into 0
4.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.987 * [backup-simplify]: Simplify (+ 0 0) into 0
4.987 * [backup-simplify]: Simplify 0 into 0
4.987 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.988 * [backup-simplify]: Simplify (- 0) into 0
4.989 * [backup-simplify]: Simplify (- 0) into 0
4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.991 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.991 * [backup-simplify]: Simplify (- 0) into 0
4.992 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.995 * [backup-simplify]: Simplify (+ 0 0) into 0
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
4.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.996 * [backup-simplify]: Simplify (- 0) into 0
4.997 * [backup-simplify]: Simplify (- 0) into 0
4.997 * [backup-simplify]: Simplify (- 0) into 0
4.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.999 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.000 * [backup-simplify]: Simplify (- 0) into 0
5.001 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.004 * [backup-simplify]: Simplify (+ 0 0) into 0
5.004 * [backup-simplify]: Simplify 0 into 0
5.004 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.005 * [backup-simplify]: Simplify (- 0) into 0
5.006 * [backup-simplify]: Simplify (- 0) into 0
5.006 * [backup-simplify]: Simplify (- 0) into 0
5.006 * [backup-simplify]: Simplify (- 0) into 0
5.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.009 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.009 * [backup-simplify]: Simplify (- 0) into 0
5.011 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.013 * [backup-simplify]: Simplify (+ 0 0) into 0
5.013 * [backup-simplify]: Simplify 0 into 0
5.013 * [backup-simplify]: Simplify 0 into 0
5.014 * [backup-simplify]: Simplify (fma (- (/ 0.5 (/ 1 N))) (/ 1 (/ 1 N)) (* (/ 0.5 (/ 1 N)) (/ 1 (/ 1 N)))) into (fma (- (* 0.5 N)) N (* 0.5 (pow N 2)))
5.014 * [approximate]: Taking taylor expansion of (fma (- (* 0.5 N)) N (* 0.5 (pow N 2))) in (N) around 0
5.014 * [taylor]: Taking taylor expansion of (fma (- (* 0.5 N)) N (* 0.5 (pow N 2))) in N
5.014 * [taylor]: Rewrote expression to (+ (* (- (* 0.5 N)) N) (* 0.5 (pow N 2)))
5.014 * [taylor]: Taking taylor expansion of (* (- (* 0.5 N)) N) in N
5.014 * [taylor]: Taking taylor expansion of (- (* 0.5 N)) in N
5.014 * [taylor]: Taking taylor expansion of (* 0.5 N) in N
5.014 * [taylor]: Taking taylor expansion of 0.5 in N
5.014 * [backup-simplify]: Simplify 0.5 into 0.5
5.014 * [taylor]: Taking taylor expansion of N in N
5.014 * [backup-simplify]: Simplify 0 into 0
5.014 * [backup-simplify]: Simplify 1 into 1
5.014 * [taylor]: Taking taylor expansion of N in N
5.014 * [backup-simplify]: Simplify 0 into 0
5.014 * [backup-simplify]: Simplify 1 into 1
5.014 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
5.015 * [taylor]: Taking taylor expansion of 0.5 in N
5.015 * [backup-simplify]: Simplify 0.5 into 0.5
5.015 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.015 * [taylor]: Taking taylor expansion of N in N
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 1 into 1
5.015 * [taylor]: Taking taylor expansion of (fma (- (* 0.5 N)) N (* 0.5 (pow N 2))) in N
5.015 * [taylor]: Rewrote expression to (+ (* (- (* 0.5 N)) N) (* 0.5 (pow N 2)))
5.015 * [taylor]: Taking taylor expansion of (* (- (* 0.5 N)) N) in N
5.015 * [taylor]: Taking taylor expansion of (- (* 0.5 N)) in N
5.015 * [taylor]: Taking taylor expansion of (* 0.5 N) in N
5.015 * [taylor]: Taking taylor expansion of 0.5 in N
5.015 * [backup-simplify]: Simplify 0.5 into 0.5
5.015 * [taylor]: Taking taylor expansion of N in N
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 1 into 1
5.015 * [taylor]: Taking taylor expansion of N in N
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 1 into 1
5.015 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
5.015 * [taylor]: Taking taylor expansion of 0.5 in N
5.015 * [backup-simplify]: Simplify 0.5 into 0.5
5.015 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.015 * [taylor]: Taking taylor expansion of N in N
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 1 into 1
5.016 * [backup-simplify]: Simplify (* 0.5 0) into 0
5.016 * [backup-simplify]: Simplify (- 0) into 0
5.017 * [backup-simplify]: Simplify (* 0 0) into 0
5.017 * [backup-simplify]: Simplify (+ 0 0) into 0
5.017 * [backup-simplify]: Simplify 0 into 0
5.017 * [backup-simplify]: Simplify (- 0) into 0
5.019 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
5.019 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.020 * [backup-simplify]: Simplify (+ (* 0 1) (* (- 0.5) 0)) into 0
5.021 * [backup-simplify]: Simplify (+ 0 0) into 0
5.021 * [backup-simplify]: Simplify 0 into 0
5.021 * [backup-simplify]: Simplify (- 0) into 0
5.022 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0
5.023 * [backup-simplify]: Simplify (- 0) into 0
5.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- 0.5) 1) (* 0 0))) into (- 0.5)
5.027 * [backup-simplify]: Simplify (* 1 1) into 1
5.028 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
5.029 * [backup-simplify]: Simplify (+ (- 0.5) 0.5) into 0
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify (- 0) into 0
5.030 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.030 * [backup-simplify]: Simplify (- 0) into 0
5.031 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.031 * [backup-simplify]: Simplify (- 0) into 0
5.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- 0.5) 0) (+ (* 0 1) (* 0 0)))) into 0
5.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.033 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
5.033 * [backup-simplify]: Simplify (+ 0 0) into 0
5.033 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify (- 0) into 0
5.033 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.034 * [backup-simplify]: Simplify (- 0) into 0
5.034 * [backup-simplify]: Simplify (- 0) into 0
5.035 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.035 * [backup-simplify]: Simplify (- 0) into 0
5.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.037 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
5.037 * [backup-simplify]: Simplify (+ 0 0) into 0
5.037 * [backup-simplify]: Simplify 0 into 0
5.037 * [backup-simplify]: Simplify (- 0) into 0
5.037 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.037 * [backup-simplify]: Simplify (- 0) into 0
5.038 * [backup-simplify]: Simplify (- 0) into 0
5.038 * [backup-simplify]: Simplify (- 0) into 0
5.039 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
5.039 * [backup-simplify]: Simplify (- 0) into 0
5.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
5.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.041 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.041 * [backup-simplify]: Simplify (+ 0 0) into 0
5.041 * [backup-simplify]: Simplify 0 into 0
5.041 * [backup-simplify]: Simplify 0 into 0
5.041 * [backup-simplify]: Simplify (fma (- (/ 0.5 (/ 1 (- N)))) (/ 1 (/ 1 (- N))) (* (/ 0.5 (/ 1 (- N))) (/ 1 (/ 1 (- N))))) into (fma (* 0.5 N) (* -1 N) (* 0.5 (pow N 2)))
5.042 * [approximate]: Taking taylor expansion of (fma (* 0.5 N) (* -1 N) (* 0.5 (pow N 2))) in (N) around 0
5.042 * [taylor]: Taking taylor expansion of (fma (* 0.5 N) (* -1 N) (* 0.5 (pow N 2))) in N
5.042 * [taylor]: Rewrote expression to (+ (* (* 0.5 N) (* -1 N)) (* 0.5 (pow N 2)))
5.042 * [taylor]: Taking taylor expansion of (* (* 0.5 N) (* -1 N)) in N
5.042 * [taylor]: Taking taylor expansion of (* 0.5 N) in N
5.042 * [taylor]: Taking taylor expansion of 0.5 in N
5.042 * [backup-simplify]: Simplify 0.5 into 0.5
5.042 * [taylor]: Taking taylor expansion of N in N
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.042 * [taylor]: Taking taylor expansion of (* -1 N) in N
5.042 * [taylor]: Taking taylor expansion of -1 in N
5.042 * [backup-simplify]: Simplify -1 into -1
5.042 * [taylor]: Taking taylor expansion of N in N
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.042 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
5.042 * [taylor]: Taking taylor expansion of 0.5 in N
5.042 * [backup-simplify]: Simplify 0.5 into 0.5
5.042 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.042 * [taylor]: Taking taylor expansion of N in N
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.042 * [taylor]: Taking taylor expansion of (fma (* 0.5 N) (* -1 N) (* 0.5 (pow N 2))) in N
5.042 * [taylor]: Rewrote expression to (+ (* (* 0.5 N) (* -1 N)) (* 0.5 (pow N 2)))
5.042 * [taylor]: Taking taylor expansion of (* (* 0.5 N) (* -1 N)) in N
5.042 * [taylor]: Taking taylor expansion of (* 0.5 N) in N
5.042 * [taylor]: Taking taylor expansion of 0.5 in N
5.042 * [backup-simplify]: Simplify 0.5 into 0.5
5.042 * [taylor]: Taking taylor expansion of N in N
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.042 * [taylor]: Taking taylor expansion of (* -1 N) in N
5.042 * [taylor]: Taking taylor expansion of -1 in N
5.042 * [backup-simplify]: Simplify -1 into -1
5.042 * [taylor]: Taking taylor expansion of N in N
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.042 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
5.042 * [taylor]: Taking taylor expansion of 0.5 in N
5.042 * [backup-simplify]: Simplify 0.5 into 0.5
5.042 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.042 * [taylor]: Taking taylor expansion of N in N
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.043 * [backup-simplify]: Simplify (* 0.5 0) into 0
5.043 * [backup-simplify]: Simplify (* -1 0) into 0
5.043 * [backup-simplify]: Simplify (* 0 0) into 0
5.044 * [backup-simplify]: Simplify (+ 0 0) into 0
5.044 * [backup-simplify]: Simplify 0 into 0
5.044 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
5.045 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
5.045 * [backup-simplify]: Simplify (+ (* 0 -1) (* 0.5 0)) into 0
5.045 * [backup-simplify]: Simplify (+ 0 0) into 0
5.045 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
5.047 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0
5.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 -1) (* 0 0))) into (- 0.5)
5.048 * [backup-simplify]: Simplify (* 1 1) into 1
5.048 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
5.049 * [backup-simplify]: Simplify (+ (- 0.5) 0.5) into 0
5.049 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.050 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 -1) (* 0 0)))) into 0
5.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.051 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
5.052 * [backup-simplify]: Simplify (+ 0 0) into 0
5.052 * [backup-simplify]: Simplify 0 into 0
5.052 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0))))) into 0
5.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.055 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
5.055 * [backup-simplify]: Simplify (+ 0 0) into 0
5.055 * [backup-simplify]: Simplify 0 into 0
5.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
5.057 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
5.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))))) into 0
5.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.058 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.059 * [backup-simplify]: Simplify (+ 0 0) into 0
5.059 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify 0 into 0
5.059 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
5.060 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) into (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2))))))
5.061 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2)))))) in (N) around 0
5.061 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2)))))) in N
5.061 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N
5.061 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
5.061 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.061 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
5.061 * [taylor]: Taking taylor expansion of (pow N 3) in N
5.061 * [taylor]: Taking taylor expansion of N in N
5.061 * [backup-simplify]: Simplify 0 into 0
5.061 * [backup-simplify]: Simplify 1 into 1
5.061 * [backup-simplify]: Simplify (* 1 1) into 1
5.062 * [backup-simplify]: Simplify (* 1 1) into 1
5.062 * [backup-simplify]: Simplify (/ 1 1) into 1
5.062 * [taylor]: Taking taylor expansion of (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2))))) in N
5.062 * [taylor]: Rewrote expression to (+ (* (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (- (* 0.5 (/ 1 (pow N 2)))))
5.062 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0))) in N
5.062 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) in N
5.062 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
5.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
5.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
5.063 * [taylor]: Taking taylor expansion of 1/3 in N
5.063 * [backup-simplify]: Simplify 1/3 into 1/3
5.063 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
5.063 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
5.063 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.063 * [taylor]: Taking taylor expansion of N in N
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify 1 into 1
5.063 * [backup-simplify]: Simplify (* 1 1) into 1
5.064 * [backup-simplify]: Simplify (/ 1 1) into 1
5.064 * [backup-simplify]: Simplify (log 1) into 0
5.064 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.065 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.065 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.065 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.065 * [taylor]: Taking taylor expansion of 1.0 in N
5.065 * [backup-simplify]: Simplify 1.0 into 1.0
5.065 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.066 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt 1.0)) in N
5.066 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
5.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
5.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
5.066 * [taylor]: Taking taylor expansion of 1/3 in N
5.066 * [backup-simplify]: Simplify 1/3 into 1/3
5.066 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
5.066 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.066 * [taylor]: Taking taylor expansion of N in N
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [backup-simplify]: Simplify 1 into 1
5.067 * [backup-simplify]: Simplify (/ 1 1) into 1
5.067 * [backup-simplify]: Simplify (log 1) into 0
5.068 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.068 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
5.068 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
5.068 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.068 * [taylor]: Taking taylor expansion of 1.0 in N
5.068 * [backup-simplify]: Simplify 1.0 into 1.0
5.068 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.069 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2)))) in N
5.069 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N
5.069 * [taylor]: Taking taylor expansion of 0.5 in N
5.069 * [backup-simplify]: Simplify 0.5 into 0.5
5.069 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
5.069 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.069 * [taylor]: Taking taylor expansion of N in N
5.069 * [backup-simplify]: Simplify 0 into 0
5.069 * [backup-simplify]: Simplify 1 into 1
5.070 * [backup-simplify]: Simplify (* 1 1) into 1
5.070 * [backup-simplify]: Simplify (/ 1 1) into 1
5.070 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2)))))) in N
5.070 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N
5.070 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
5.070 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.070 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
5.070 * [taylor]: Taking taylor expansion of (pow N 3) in N
5.070 * [taylor]: Taking taylor expansion of N in N
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify 1 into 1
5.071 * [backup-simplify]: Simplify (* 1 1) into 1
5.071 * [backup-simplify]: Simplify (* 1 1) into 1
5.071 * [backup-simplify]: Simplify (/ 1 1) into 1
5.072 * [taylor]: Taking taylor expansion of (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2))))) in N
5.072 * [taylor]: Rewrote expression to (+ (* (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (- (* 0.5 (/ 1 (pow N 2)))))
5.072 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0))) in N
5.072 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) in N
5.072 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
5.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
5.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
5.072 * [taylor]: Taking taylor expansion of 1/3 in N
5.072 * [backup-simplify]: Simplify 1/3 into 1/3
5.072 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
5.072 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
5.072 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.072 * [taylor]: Taking taylor expansion of N in N
5.072 * [backup-simplify]: Simplify 0 into 0
5.072 * [backup-simplify]: Simplify 1 into 1
5.073 * [backup-simplify]: Simplify (* 1 1) into 1
5.073 * [backup-simplify]: Simplify (/ 1 1) into 1
5.073 * [backup-simplify]: Simplify (log 1) into 0
5.074 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.074 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.075 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.075 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.075 * [taylor]: Taking taylor expansion of 1.0 in N
5.075 * [backup-simplify]: Simplify 1.0 into 1.0
5.075 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.076 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt 1.0)) in N
5.076 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
5.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
5.076 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
5.076 * [taylor]: Taking taylor expansion of 1/3 in N
5.076 * [backup-simplify]: Simplify 1/3 into 1/3
5.076 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
5.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.076 * [taylor]: Taking taylor expansion of N in N
5.076 * [backup-simplify]: Simplify 0 into 0
5.076 * [backup-simplify]: Simplify 1 into 1
5.077 * [backup-simplify]: Simplify (/ 1 1) into 1
5.077 * [backup-simplify]: Simplify (log 1) into 0
5.078 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.078 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
5.078 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
5.078 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.078 * [taylor]: Taking taylor expansion of 1.0 in N
5.078 * [backup-simplify]: Simplify 1.0 into 1.0
5.078 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.079 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2)))) in N
5.079 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N
5.079 * [taylor]: Taking taylor expansion of 0.5 in N
5.079 * [backup-simplify]: Simplify 0.5 into 0.5
5.079 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
5.079 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.079 * [taylor]: Taking taylor expansion of N in N
5.079 * [backup-simplify]: Simplify 0 into 0
5.079 * [backup-simplify]: Simplify 1 into 1
5.080 * [backup-simplify]: Simplify (* 1 1) into 1
5.080 * [backup-simplify]: Simplify (/ 1 1) into 1
5.081 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
5.081 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
5.081 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.084 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
5.084 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
5.085 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.086 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
5.086 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
5.087 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.090 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
5.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.100 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
5.101 * [backup-simplify]: Simplify (- 0) into 0
5.101 * [backup-simplify]: Simplify (+ 0 0) into 0
5.101 * [backup-simplify]: Simplify (+ 0 0) into 0
5.101 * [backup-simplify]: Simplify 0 into 0
5.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.105 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.106 * [backup-simplify]: Simplify (* (pow N -2/3) (sqrt 1.0)) into (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))
5.107 * [backup-simplify]: Simplify (* (pow N -1/3) (sqrt 1.0)) into (* (pow (/ 1 N) 1/3) (sqrt 1.0))
5.108 * [backup-simplify]: Simplify (* (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0))) into (/ (pow (sqrt 1.0) 2) N)
5.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
5.111 * [backup-simplify]: Simplify (- 0) into 0
5.112 * [backup-simplify]: Simplify (+ (/ (pow (sqrt 1.0) 2) N) 0) into (/ (pow (sqrt 1.0) 2) N)
5.113 * [backup-simplify]: Simplify (+ 0 (/ (pow (sqrt 1.0) 2) N)) into (/ (pow (sqrt 1.0) 2) N)
5.114 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) N) into (/ (pow (sqrt 1.0) 2) N)
5.116 * [backup-simplify]: Simplify (+ (/ (pow (sqrt 1.0) 2) N) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (/ (pow (sqrt 1.0) 2) N) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))
5.118 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (fma (/ (sqrt 1.0) (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (/ (sqrt 1.0) (cbrt (/ 1 N))) (- (/ (/ 0.5 (/ 1 N)) (/ 1 N))))) into (+ (* 0.3333333333333333 (pow N 3)) (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2)))))
5.118 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2))))) in (N) around 0
5.118 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2))))) in N
5.118 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
5.118 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
5.118 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.118 * [taylor]: Taking taylor expansion of (pow N 3) in N
5.118 * [taylor]: Taking taylor expansion of N in N
5.118 * [backup-simplify]: Simplify 0 into 0
5.118 * [backup-simplify]: Simplify 1 into 1
5.118 * [taylor]: Taking taylor expansion of (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2)))) in N
5.118 * [taylor]: Rewrote expression to (+ (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0))) (- (* 0.5 (pow N 2))))
5.118 * [taylor]: Taking taylor expansion of (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0))) in N
5.118 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt 1.0)) in N
5.118 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
5.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
5.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
5.119 * [taylor]: Taking taylor expansion of 1/3 in N
5.119 * [backup-simplify]: Simplify 1/3 into 1/3
5.119 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
5.119 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.119 * [taylor]: Taking taylor expansion of N in N
5.119 * [backup-simplify]: Simplify 0 into 0
5.119 * [backup-simplify]: Simplify 1 into 1
5.119 * [backup-simplify]: Simplify (* 1 1) into 1
5.120 * [backup-simplify]: Simplify (log 1) into 0
5.120 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
5.120 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
5.120 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
5.120 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.120 * [taylor]: Taking taylor expansion of 1.0 in N
5.120 * [backup-simplify]: Simplify 1.0 into 1.0
5.121 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.122 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt 1.0)) in N
5.122 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
5.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
5.122 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
5.122 * [taylor]: Taking taylor expansion of 1/3 in N
5.122 * [backup-simplify]: Simplify 1/3 into 1/3
5.122 * [taylor]: Taking taylor expansion of (log N) in N
5.122 * [taylor]: Taking taylor expansion of N in N
5.122 * [backup-simplify]: Simplify 0 into 0
5.122 * [backup-simplify]: Simplify 1 into 1
5.122 * [backup-simplify]: Simplify (log 1) into 0
5.123 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.123 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
5.123 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
5.123 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.123 * [taylor]: Taking taylor expansion of 1.0 in N
5.123 * [backup-simplify]: Simplify 1.0 into 1.0
5.123 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.124 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N
5.124 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
5.124 * [taylor]: Taking taylor expansion of 0.5 in N
5.124 * [backup-simplify]: Simplify 0.5 into 0.5
5.124 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.124 * [taylor]: Taking taylor expansion of N in N
5.124 * [backup-simplify]: Simplify 0 into 0
5.125 * [backup-simplify]: Simplify 1 into 1
5.125 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2))))) in N
5.125 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
5.125 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
5.125 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.125 * [taylor]: Taking taylor expansion of (pow N 3) in N
5.125 * [taylor]: Taking taylor expansion of N in N
5.125 * [backup-simplify]: Simplify 0 into 0
5.125 * [backup-simplify]: Simplify 1 into 1
5.125 * [taylor]: Taking taylor expansion of (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2)))) in N
5.125 * [taylor]: Rewrote expression to (+ (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0))) (- (* 0.5 (pow N 2))))
5.125 * [taylor]: Taking taylor expansion of (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0))) in N
5.125 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt 1.0)) in N
5.125 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
5.125 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
5.125 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
5.125 * [taylor]: Taking taylor expansion of 1/3 in N
5.125 * [backup-simplify]: Simplify 1/3 into 1/3
5.125 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
5.125 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.125 * [taylor]: Taking taylor expansion of N in N
5.125 * [backup-simplify]: Simplify 0 into 0
5.125 * [backup-simplify]: Simplify 1 into 1
5.126 * [backup-simplify]: Simplify (* 1 1) into 1
5.126 * [backup-simplify]: Simplify (log 1) into 0
5.127 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
5.127 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
5.127 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
5.127 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.127 * [taylor]: Taking taylor expansion of 1.0 in N
5.127 * [backup-simplify]: Simplify 1.0 into 1.0
5.127 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.128 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt 1.0)) in N
5.128 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
5.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
5.128 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
5.128 * [taylor]: Taking taylor expansion of 1/3 in N
5.128 * [backup-simplify]: Simplify 1/3 into 1/3
5.128 * [taylor]: Taking taylor expansion of (log N) in N
5.128 * [taylor]: Taking taylor expansion of N in N
5.128 * [backup-simplify]: Simplify 0 into 0
5.128 * [backup-simplify]: Simplify 1 into 1
5.129 * [backup-simplify]: Simplify (log 1) into 0
5.129 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.129 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
5.129 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
5.129 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.129 * [taylor]: Taking taylor expansion of 1.0 in N
5.129 * [backup-simplify]: Simplify 1.0 into 1.0
5.130 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.130 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N
5.131 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
5.131 * [taylor]: Taking taylor expansion of 0.5 in N
5.131 * [backup-simplify]: Simplify 0.5 into 0.5
5.131 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.131 * [taylor]: Taking taylor expansion of N in N
5.131 * [backup-simplify]: Simplify 0 into 0
5.131 * [backup-simplify]: Simplify 1 into 1
5.131 * [backup-simplify]: Simplify (* (pow N 2/3) (sqrt 1.0)) into (* (pow (pow N 2) 1/3) (sqrt 1.0))
5.132 * [backup-simplify]: Simplify (* (pow N 1/3) (sqrt 1.0)) into (* (pow N 1/3) (sqrt 1.0))
5.133 * [backup-simplify]: Simplify (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0))) into (* N (pow (sqrt 1.0) 2))
5.134 * [backup-simplify]: Simplify (+ (* N (pow (sqrt 1.0) 2)) 0) into (* N (pow (sqrt 1.0) 2))
5.135 * [backup-simplify]: Simplify (+ 0 (* N (pow (sqrt 1.0) 2))) into (* N (pow (sqrt 1.0) 2))
5.136 * [backup-simplify]: Simplify (* N (pow (sqrt 1.0) 2)) into (* N (pow (sqrt 1.0) 2))
5.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.138 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.138 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
5.139 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.140 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* 0 (sqrt 1.0))) into 0
5.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.142 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
5.143 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0
5.144 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.144 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (* 0 (sqrt 1.0))) into 0
5.145 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) 0) (* 0 (* (pow N 1/3) (sqrt 1.0)))) into 0
5.146 * [backup-simplify]: Simplify (+ 0 0) into 0
5.146 * [backup-simplify]: Simplify (+ 0 0) into 0
5.146 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
5.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.151 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.152 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
5.154 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.155 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0
5.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
5.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.161 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
5.162 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0
5.163 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.163 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0
5.164 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (* (pow N 1/3) (sqrt 1.0))))) into 0
5.165 * [backup-simplify]: Simplify (* 1 1) into 1
5.165 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
5.165 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.166 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
5.166 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
5.166 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.167 * [backup-simplify]: Simplify (* 1 1) into 1
5.167 * [backup-simplify]: Simplify (* 1 1) into 1
5.167 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
5.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
5.170 * [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
5.171 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.171 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
5.172 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.173 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0
5.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
5.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.177 * [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
5.177 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
5.178 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0
5.179 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.180 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0
5.181 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow N 1/3) (sqrt 1.0)))))) into 0
5.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.182 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
5.182 * [backup-simplify]: Simplify (- 0) into 0
5.182 * [backup-simplify]: Simplify (+ 0 0) into 0
5.182 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
5.182 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.184 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* (/ 1 N) (pow (sqrt 1.0) 2)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ (pow (sqrt 1.0) 2) N)) (* 0.5 (/ 1 (pow N 2))))
5.185 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (fma (/ (sqrt 1.0) (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N))))) (/ (sqrt 1.0) (cbrt (/ 1 (- N)))) (- (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N)))))) into (- (fma (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3)))
5.185 * [approximate]: Taking taylor expansion of (- (fma (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in (N) around 0
5.185 * [taylor]: Taking taylor expansion of (- (fma (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in N
5.185 * [taylor]: Taking taylor expansion of (fma (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) in N
5.186 * [taylor]: Rewrote expression to (+ (* (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1)))) (- (* 0.5 (pow N 2))))
5.186 * [taylor]: Taking taylor expansion of (* (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1)))) in N
5.186 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) in N
5.186 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
5.186 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
5.186 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
5.186 * [taylor]: Taking taylor expansion of 1/3 in N
5.186 * [backup-simplify]: Simplify 1/3 into 1/3
5.186 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
5.186 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.186 * [taylor]: Taking taylor expansion of N in N
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify 1 into 1
5.186 * [backup-simplify]: Simplify (* 1 1) into 1
5.186 * [backup-simplify]: Simplify (log 1) into 0
5.187 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
5.187 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
5.187 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
5.187 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (pow (cbrt -1) 2)) in N
5.187 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.187 * [taylor]: Taking taylor expansion of 1.0 in N
5.187 * [backup-simplify]: Simplify 1.0 into 1.0
5.188 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.189 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
5.189 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.189 * [taylor]: Taking taylor expansion of -1 in N
5.189 * [backup-simplify]: Simplify -1 into -1
5.189 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.190 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.191 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
5.194 * [backup-simplify]: Simplify (/ (sqrt 1.0) (pow (cbrt -1) 2)) into (/ (sqrt 1.0) (pow (cbrt -1) 2))
5.194 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) in N
5.194 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
5.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
5.194 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
5.194 * [taylor]: Taking taylor expansion of 1/3 in N
5.194 * [backup-simplify]: Simplify 1/3 into 1/3
5.194 * [taylor]: Taking taylor expansion of (log N) in N
5.194 * [taylor]: Taking taylor expansion of N in N
5.194 * [backup-simplify]: Simplify 0 into 0
5.194 * [backup-simplify]: Simplify 1 into 1
5.194 * [backup-simplify]: Simplify (log 1) into 0
5.195 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.195 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
5.195 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
5.195 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (cbrt -1)) in N
5.195 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.195 * [taylor]: Taking taylor expansion of 1.0 in N
5.195 * [backup-simplify]: Simplify 1.0 into 1.0
5.196 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.196 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.196 * [taylor]: Taking taylor expansion of -1 in N
5.196 * [backup-simplify]: Simplify -1 into -1
5.197 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.198 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.199 * [backup-simplify]: Simplify (/ (sqrt 1.0) (cbrt -1)) into (/ (sqrt 1.0) (cbrt -1))
5.199 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N
5.199 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
5.199 * [taylor]: Taking taylor expansion of 0.5 in N
5.199 * [backup-simplify]: Simplify 0.5 into 0.5
5.199 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.199 * [taylor]: Taking taylor expansion of N in N
5.199 * [backup-simplify]: Simplify 0 into 0
5.199 * [backup-simplify]: Simplify 1 into 1
5.199 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
5.199 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
5.199 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.199 * [taylor]: Taking taylor expansion of (pow N 3) in N
5.199 * [taylor]: Taking taylor expansion of N in N
5.200 * [backup-simplify]: Simplify 0 into 0
5.200 * [backup-simplify]: Simplify 1 into 1
5.200 * [taylor]: Taking taylor expansion of (- (fma (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in N
5.200 * [taylor]: Taking taylor expansion of (fma (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) in N
5.200 * [taylor]: Rewrote expression to (+ (* (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1)))) (- (* 0.5 (pow N 2))))
5.200 * [taylor]: Taking taylor expansion of (* (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1)))) in N
5.200 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) in N
5.200 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
5.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
5.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
5.200 * [taylor]: Taking taylor expansion of 1/3 in N
5.200 * [backup-simplify]: Simplify 1/3 into 1/3
5.200 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
5.200 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.200 * [taylor]: Taking taylor expansion of N in N
5.200 * [backup-simplify]: Simplify 0 into 0
5.200 * [backup-simplify]: Simplify 1 into 1
5.201 * [backup-simplify]: Simplify (* 1 1) into 1
5.201 * [backup-simplify]: Simplify (log 1) into 0
5.201 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
5.202 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
5.202 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
5.202 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (pow (cbrt -1) 2)) in N
5.202 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.202 * [taylor]: Taking taylor expansion of 1.0 in N
5.202 * [backup-simplify]: Simplify 1.0 into 1.0
5.202 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.203 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
5.203 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.203 * [taylor]: Taking taylor expansion of -1 in N
5.203 * [backup-simplify]: Simplify -1 into -1
5.203 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.204 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.204 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
5.206 * [backup-simplify]: Simplify (/ (sqrt 1.0) (pow (cbrt -1) 2)) into (/ (sqrt 1.0) (pow (cbrt -1) 2))
5.206 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) in N
5.206 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
5.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
5.206 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
5.206 * [taylor]: Taking taylor expansion of 1/3 in N
5.206 * [backup-simplify]: Simplify 1/3 into 1/3
5.206 * [taylor]: Taking taylor expansion of (log N) in N
5.206 * [taylor]: Taking taylor expansion of N in N
5.206 * [backup-simplify]: Simplify 0 into 0
5.206 * [backup-simplify]: Simplify 1 into 1
5.206 * [backup-simplify]: Simplify (log 1) into 0
5.206 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.206 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
5.207 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
5.207 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (cbrt -1)) in N
5.207 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
5.207 * [taylor]: Taking taylor expansion of 1.0 in N
5.207 * [backup-simplify]: Simplify 1.0 into 1.0
5.207 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
5.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
5.207 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.207 * [taylor]: Taking taylor expansion of -1 in N
5.207 * [backup-simplify]: Simplify -1 into -1
5.208 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.208 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.209 * [backup-simplify]: Simplify (/ (sqrt 1.0) (cbrt -1)) into (/ (sqrt 1.0) (cbrt -1))
5.209 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N
5.209 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
5.209 * [taylor]: Taking taylor expansion of 0.5 in N
5.209 * [backup-simplify]: Simplify 0.5 into 0.5
5.209 * [taylor]: Taking taylor expansion of (pow N 2) in N
5.209 * [taylor]: Taking taylor expansion of N in N
5.209 * [backup-simplify]: Simplify 0 into 0
5.209 * [backup-simplify]: Simplify 1 into 1
5.209 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
5.209 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
5.209 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.209 * [taylor]: Taking taylor expansion of (pow N 3) in N
5.209 * [taylor]: Taking taylor expansion of N in N
5.209 * [backup-simplify]: Simplify 0 into 0
5.209 * [backup-simplify]: Simplify 1 into 1
5.211 * [backup-simplify]: Simplify (* (pow N 2/3) (/ (sqrt 1.0) (pow (cbrt -1) 2))) into (* (/ (sqrt 1.0) (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))
5.212 * [backup-simplify]: Simplify (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) into (* (/ (sqrt 1.0) (cbrt -1)) (pow N 1/3))
5.214 * [backup-simplify]: Simplify (* (* (/ (sqrt 1.0) (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)) (* (/ (sqrt 1.0) (cbrt -1)) (pow N 1/3))) into (/ (* N (pow (sqrt 1.0) 2)) (pow (cbrt -1) 3))
5.215 * [backup-simplify]: Simplify (+ (/ (* N (pow (sqrt 1.0) 2)) (pow (cbrt -1) 3)) 0) into (- (* N (pow (sqrt 1.0) 2)))
5.216 * [backup-simplify]: Simplify (+ (- (* N (pow (sqrt 1.0) 2))) 0) into (- (* N (pow (sqrt 1.0) 2)))
5.216 * [backup-simplify]: Simplify (- (* N (pow (sqrt 1.0) 2))) into (- (* N (pow (sqrt 1.0) 2)))
5.217 * [backup-simplify]: Simplify (- (/ 0 (cbrt -1)) (+ (* (/ (sqrt 1.0) (cbrt -1)) (/ 0 (cbrt -1))))) into 0
5.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.218 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.219 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
5.219 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.220 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* 0 (/ (sqrt 1.0) (cbrt -1)))) into 0
5.220 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
5.226 * [backup-simplify]: Simplify (- (/ 0 (pow (cbrt -1) 2)) (+ (* (/ (sqrt 1.0) (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))))) into 0
5.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.228 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
5.228 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0
5.229 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.230 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (* 0 (/ (sqrt 1.0) (pow (cbrt -1) 2)))) into 0
5.234 * [backup-simplify]: Simplify (+ (* (* (/ (sqrt 1.0) (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)) 0) (* 0 (* (/ (sqrt 1.0) (cbrt -1)) (pow N 1/3)))) into 0
5.234 * [backup-simplify]: Simplify (+ 0 0) into 0
5.234 * [backup-simplify]: Simplify (+ 0 0) into 0
5.234 * [backup-simplify]: Simplify 0 into 0
5.236 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
5.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
5.239 * [backup-simplify]: Simplify (- (/ 0 (cbrt -1)) (+ (* (/ (sqrt 1.0) (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0
5.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.242 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.243 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
5.245 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.246 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (* 0 (/ (sqrt 1.0) (cbrt -1))))) into 0
5.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
5.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
5.248 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
5.249 * [backup-simplify]: Simplify (- (/ 0 (pow (cbrt -1) 2)) (+ (* (/ (sqrt 1.0) (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))))) into 0
5.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.251 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.252 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
5.252 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0
5.253 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.254 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (+ (* 0 0) (* 0 (/ (sqrt 1.0) (pow (cbrt -1) 2))))) into 0
5.257 * [backup-simplify]: Simplify (+ (* (* (/ (sqrt 1.0) (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)) 0) (+ (* 0 0) (* 0 (* (/ (sqrt 1.0) (cbrt -1)) (pow N 1/3))))) into 0
5.257 * [backup-simplify]: Simplify (* 1 1) into 1
5.258 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
5.258 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.258 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
5.259 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5)
5.259 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
5.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
5.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
5.261 * [backup-simplify]: Simplify (- (/ 0 (cbrt -1)) (+ (* (/ (sqrt 1.0) (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0
5.264 * [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
5.265 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.265 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
5.266 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.268 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sqrt 1.0) (cbrt -1)))))) into 0
5.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
5.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
5.271 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
5.273 * [backup-simplify]: Simplify (- (/ 0 (pow (cbrt -1) 2)) (+ (* (/ (sqrt 1.0) (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))))) into 0
5.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.280 * [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
5.280 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
5.281 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0
5.283 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.286 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sqrt 1.0) (pow (cbrt -1) 2)))))) into 0
5.291 * [backup-simplify]: Simplify (+ (* (* (/ (sqrt 1.0) (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ (sqrt 1.0) (cbrt -1)) (pow N 1/3)))))) into 0
5.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
5.293 * [backup-simplify]: Simplify (- 0) into 0
5.293 * [backup-simplify]: Simplify (+ 0 0) into 0
5.293 * [backup-simplify]: Simplify (* 1 1) into 1
5.294 * [backup-simplify]: Simplify (* 1 1) into 1
5.294 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
5.294 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333)
5.295 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333)
5.296 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333)
5.298 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (- (* (/ 1 (- N)) (pow (sqrt 1.0) 2))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ (pow (sqrt 1.0) 2) N)) (* 0.5 (/ 1 (pow N 2))))
5.298 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 2)
5.298 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
5.298 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
5.298 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
5.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
5.298 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
5.299 * [taylor]: Taking taylor expansion of 1/3 in N
5.299 * [backup-simplify]: Simplify 1/3 into 1/3
5.299 * [taylor]: Taking taylor expansion of (log N) in N
5.299 * [taylor]: Taking taylor expansion of N in N
5.299 * [backup-simplify]: Simplify 0 into 0
5.299 * [backup-simplify]: Simplify 1 into 1
5.299 * [backup-simplify]: Simplify (log 1) into 0
5.300 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.300 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
5.300 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
5.300 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
5.300 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
5.300 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
5.300 * [taylor]: Taking taylor expansion of 1/3 in N
5.300 * [backup-simplify]: Simplify 1/3 into 1/3
5.300 * [taylor]: Taking taylor expansion of (log N) in N
5.300 * [taylor]: Taking taylor expansion of N in N
5.300 * [backup-simplify]: Simplify 0 into 0
5.300 * [backup-simplify]: Simplify 1 into 1
5.300 * [backup-simplify]: Simplify (log 1) into 0
5.301 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.301 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
5.301 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
5.301 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
5.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.303 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.303 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
5.304 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.304 * [backup-simplify]: Simplify 0 into 0
5.308 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.308 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.309 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
5.311 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.311 * [backup-simplify]: Simplify 0 into 0
5.316 * [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
5.316 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
5.319 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.319 * [backup-simplify]: Simplify 0 into 0
5.329 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
5.330 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
5.334 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.334 * [backup-simplify]: Simplify 0 into 0
5.351 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
5.351 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
5.766 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.766 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
5.799 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.802 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
5.808 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
5.808 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
5.808 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
5.808 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
5.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
5.808 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
5.808 * [taylor]: Taking taylor expansion of 1/3 in N
5.808 * [backup-simplify]: Simplify 1/3 into 1/3
5.808 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
5.808 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.808 * [taylor]: Taking taylor expansion of N in N
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 1 into 1
5.809 * [backup-simplify]: Simplify (/ 1 1) into 1
5.809 * [backup-simplify]: Simplify (log 1) into 0
5.810 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.810 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
5.810 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
5.810 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
5.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
5.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
5.810 * [taylor]: Taking taylor expansion of 1/3 in N
5.810 * [backup-simplify]: Simplify 1/3 into 1/3
5.810 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
5.810 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.810 * [taylor]: Taking taylor expansion of N in N
5.810 * [backup-simplify]: Simplify 0 into 0
5.810 * [backup-simplify]: Simplify 1 into 1
5.811 * [backup-simplify]: Simplify (/ 1 1) into 1
5.811 * [backup-simplify]: Simplify (log 1) into 0
5.811 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.811 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
5.812 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
5.812 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.814 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.815 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
5.816 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.816 * [backup-simplify]: Simplify 0 into 0
5.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.820 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.820 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.821 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
5.822 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.822 * [backup-simplify]: Simplify 0 into 0
5.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.829 * [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
5.829 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.830 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
5.832 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.832 * [backup-simplify]: Simplify 0 into 0
5.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.845 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
5.845 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.847 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
5.850 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.850 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.871 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
5.872 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.874 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
5.877 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.878 * [backup-simplify]: Simplify 0 into 0
5.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.914 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
5.915 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.917 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
5.929 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.929 * [backup-simplify]: Simplify 0 into 0
5.929 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
5.930 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3))
5.930 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0
5.930 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
5.930 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.930 * [taylor]: Taking taylor expansion of -1 in N
5.930 * [backup-simplify]: Simplify -1 into -1
5.930 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.931 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.931 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
5.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
5.931 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
5.931 * [taylor]: Taking taylor expansion of 1/3 in N
5.931 * [backup-simplify]: Simplify 1/3 into 1/3
5.931 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
5.931 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.931 * [taylor]: Taking taylor expansion of N in N
5.931 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify 1 into 1
5.932 * [backup-simplify]: Simplify (/ 1 1) into 1
5.932 * [backup-simplify]: Simplify (log 1) into 0
5.933 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.933 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
5.933 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
5.933 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
5.933 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.933 * [taylor]: Taking taylor expansion of -1 in N
5.933 * [backup-simplify]: Simplify -1 into -1
5.933 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.934 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.934 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
5.934 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
5.934 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
5.934 * [taylor]: Taking taylor expansion of 1/3 in N
5.934 * [backup-simplify]: Simplify 1/3 into 1/3
5.934 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
5.934 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.934 * [taylor]: Taking taylor expansion of N in N
5.934 * [backup-simplify]: Simplify 0 into 0
5.934 * [backup-simplify]: Simplify 1 into 1
5.935 * [backup-simplify]: Simplify (/ 1 1) into 1
5.935 * [backup-simplify]: Simplify (log 1) into 0
5.936 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.936 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
5.936 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
5.936 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3))
5.937 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3))
5.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.940 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.940 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
5.941 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.942 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0
5.942 * [backup-simplify]: Simplify 0 into 0
5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.946 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.946 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.947 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
5.948 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
5.951 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0
5.951 * [backup-simplify]: Simplify 0 into 0
5.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.957 * [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
5.958 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.959 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
5.961 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
5.965 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0
5.965 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.978 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
5.979 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.980 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
5.983 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
5.987 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0
5.987 * [backup-simplify]: Simplify 0 into 0
5.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.997 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
5.997 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.999 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
6.002 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
6.004 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0
6.004 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.022 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
6.023 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.024 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
6.027 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.030 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1))
6.030 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 2)
6.031 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
6.031 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
6.031 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
6.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
6.031 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
6.031 * [taylor]: Taking taylor expansion of 1/3 in N
6.031 * [backup-simplify]: Simplify 1/3 into 1/3
6.031 * [taylor]: Taking taylor expansion of (log N) in N
6.031 * [taylor]: Taking taylor expansion of N in N
6.031 * [backup-simplify]: Simplify 0 into 0
6.031 * [backup-simplify]: Simplify 1 into 1
6.031 * [backup-simplify]: Simplify (log 1) into 0
6.031 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.031 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
6.031 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
6.031 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
6.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
6.031 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
6.031 * [taylor]: Taking taylor expansion of 1/3 in N
6.031 * [backup-simplify]: Simplify 1/3 into 1/3
6.031 * [taylor]: Taking taylor expansion of (log N) in N
6.032 * [taylor]: Taking taylor expansion of N in N
6.032 * [backup-simplify]: Simplify 0 into 0
6.032 * [backup-simplify]: Simplify 1 into 1
6.032 * [backup-simplify]: Simplify (log 1) into 0
6.032 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.032 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
6.032 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
6.032 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
6.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.033 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.034 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
6.034 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.034 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.038 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.039 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
6.040 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.040 * [backup-simplify]: Simplify 0 into 0
6.055 * [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
6.057 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
6.060 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.060 * [backup-simplify]: Simplify 0 into 0
6.072 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
6.073 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.075 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
6.077 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.077 * [backup-simplify]: Simplify 0 into 0
6.096 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
6.096 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.099 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
6.103 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.103 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
6.135 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
6.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.144 * [backup-simplify]: Simplify 0 into 0
6.144 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
6.144 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
6.144 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
6.144 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.144 * [taylor]: Taking taylor expansion of 1/3 in N
6.144 * [backup-simplify]: Simplify 1/3 into 1/3
6.144 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.144 * [taylor]: Taking taylor expansion of N in N
6.144 * [backup-simplify]: Simplify 0 into 0
6.144 * [backup-simplify]: Simplify 1 into 1
6.145 * [backup-simplify]: Simplify (/ 1 1) into 1
6.145 * [backup-simplify]: Simplify (log 1) into 0
6.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.146 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.146 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.146 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.146 * [taylor]: Taking taylor expansion of 1/3 in N
6.146 * [backup-simplify]: Simplify 1/3 into 1/3
6.146 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.146 * [taylor]: Taking taylor expansion of N in N
6.146 * [backup-simplify]: Simplify 0 into 0
6.146 * [backup-simplify]: Simplify 1 into 1
6.147 * [backup-simplify]: Simplify (/ 1 1) into 1
6.147 * [backup-simplify]: Simplify (log 1) into 0
6.147 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.147 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.148 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.148 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.151 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
6.152 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.152 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.155 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.156 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.157 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
6.159 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.159 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.166 * [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
6.166 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
6.169 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.169 * [backup-simplify]: Simplify 0 into 0
6.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.177 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
6.178 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
6.180 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.181 * [backup-simplify]: Simplify 0 into 0
6.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.191 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
6.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.199 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
6.202 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.202 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.220 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
6.221 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.222 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
6.228 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.228 * [backup-simplify]: Simplify 0 into 0
6.228 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
6.228 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3))
6.228 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0
6.228 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
6.228 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.228 * [taylor]: Taking taylor expansion of -1 in N
6.228 * [backup-simplify]: Simplify -1 into -1
6.229 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.230 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.230 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.230 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.230 * [taylor]: Taking taylor expansion of 1/3 in N
6.230 * [backup-simplify]: Simplify 1/3 into 1/3
6.230 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.230 * [taylor]: Taking taylor expansion of N in N
6.230 * [backup-simplify]: Simplify 0 into 0
6.230 * [backup-simplify]: Simplify 1 into 1
6.231 * [backup-simplify]: Simplify (/ 1 1) into 1
6.231 * [backup-simplify]: Simplify (log 1) into 0
6.231 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.232 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.232 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.232 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
6.232 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.232 * [taylor]: Taking taylor expansion of -1 in N
6.232 * [backup-simplify]: Simplify -1 into -1
6.232 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.233 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.233 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.233 * [taylor]: Taking taylor expansion of 1/3 in N
6.233 * [backup-simplify]: Simplify 1/3 into 1/3
6.233 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.233 * [taylor]: Taking taylor expansion of N in N
6.233 * [backup-simplify]: Simplify 0 into 0
6.233 * [backup-simplify]: Simplify 1 into 1
6.234 * [backup-simplify]: Simplify (/ 1 1) into 1
6.234 * [backup-simplify]: Simplify (log 1) into 0
6.234 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.235 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.235 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.235 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3))
6.236 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3))
6.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.239 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.239 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
6.240 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.241 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0
6.241 * [backup-simplify]: Simplify 0 into 0
6.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.244 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.245 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
6.245 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.247 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0
6.247 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.251 * [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
6.251 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.253 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
6.254 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
6.256 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.262 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
6.263 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.264 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
6.265 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.268 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.278 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
6.278 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.280 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
6.284 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
6.287 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0
6.287 * [backup-simplify]: Simplify 0 into 0
6.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.332 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
6.333 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.335 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
6.341 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.346 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0
6.346 * [backup-simplify]: Simplify 0 into 0
6.347 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1))
6.347 * * * [progress]: simplifying candidates
6.349 * [simplify]: Simplifying:
  (expm1 (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (log1p (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (* (- (/ 0.5 N)) (/ 1 N))
  (log (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (exp (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (* (cbrt (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))) (cbrt (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))
  (cbrt (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (* (* (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (sqrt (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (sqrt (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (expm1 (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (log1p (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (log (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (exp (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))))
  (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (* (* (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))) (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))) 3))
  (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) (* (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))))
  (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (- (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (* (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N))))
  (expm1 (cbrt N))
  (log1p (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  (cbrt 1)
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  (* (* (cbrt N) (cbrt N)) (cbrt N))
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  (expm1 (cbrt N))
  (log1p (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  (cbrt 1)
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  (* (* (cbrt N) (cbrt N)) (cbrt N))
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  0
  0
  0
  (- (+ (/ (pow (sqrt 1.0) 2) N) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ (pow (sqrt 1.0) 2) N)) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ (pow (sqrt 1.0) 2) N)) (* 0.5 (/ 1 (pow N 2))))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* -1 N) 1/3) (cbrt -1))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* -1 N) 1/3) (cbrt -1))
6.352 * * [simplify]: Extracting # 0 : cost  0
6.352 * * [simplify]: Extracting # 1 : cost  0
6.352 * * [simplify]: Extracting # 2 : cost  0
6.352 * * [simplify]: Extracting # 3 : cost  0
6.353 * * [simplify]: Extracting # 4 : cost  0
6.353 * * [simplify]: Extracting # 5 : cost  0
6.353 * * [simplify]: Extracting # 6 : cost  0
6.353 * * [simplify]: Extracting # 7 : cost  0
6.354 * * [simplify]: Extracting # 8 : cost  0
6.354 * * [simplify]: Extracting # 9 : cost  0
6.354 * * [simplify]: Extracting # 10 : cost  0
6.354 * * [simplify]: iteration  0 :  90  enodes  (cost  998 )
6.392 * * [simplify]: Extracting # 0 : cost  0
6.393 * * [simplify]: Extracting # 1 : cost  0
6.393 * * [simplify]: Extracting # 2 : cost  0
6.394 * * [simplify]: Extracting # 3 : cost  0
6.394 * * [simplify]: Extracting # 4 : cost  0
6.395 * * [simplify]: iteration  1 :  209  enodes  (cost  964 )
6.542 * * [simplify]: Extracting # 0 : cost  0
6.544 * * [simplify]: Extracting # 1 : cost  0
6.547 * * [simplify]: Extracting # 2 : cost  0
6.549 * * [simplify]: Extracting # 3 : cost  0
6.551 * * [simplify]: Extracting # 4 : cost  0
6.553 * * [simplify]: Extracting # 5 : cost  0
6.555 * * [simplify]: Extracting # 6 : cost  0
6.557 * * [simplify]: iteration  2 :  866  enodes  (cost  781 )
7.085 * * [simplify]: Extracting # 0 : cost  0
7.092 * * [simplify]: Extracting # 1 : cost  0
7.099 * * [simplify]: Extracting # 2 : cost  0
7.106 * * [simplify]: Extracting # 3 : cost  0
7.114 * * [simplify]: Extracting # 4 : cost  0
7.128 * * [simplify]: Extracting # 5 : cost  0
7.141 * * [simplify]: iteration done:  5001  enodes  (cost  680 )
7.141 * [simplify]: Simplified to:
  (expm1 (* (/ 1 (pow N 2)) (+ 0.5 (- 0.5))))
  (log1p (* (/ 1 (pow N 2)) (+ 0.5 (- 0.5))))
  (/ (/ (- 0.5) N) N)
  (log (* (/ 1 (pow N 2)) (+ 0.5 (- 0.5))))
  (exp (* (/ 1 (pow N 2)) (+ 0.5 (- 0.5))))
  (* (cbrt (* (/ 1 (pow N 2)) (+ 0.5 (- 0.5)))) (cbrt (* (/ 1 (pow N 2)) (+ 0.5 (- 0.5)))))
  (cbrt (* (/ 1 (pow N 2)) (+ 0.5 (- 0.5))))
  (pow (* (/ 1 (pow N 2)) (+ 0.5 (- 0.5))) 3)
  (sqrt (* (/ 1 (pow N 2)) (+ 0.5 (- 0.5))))
  (sqrt (* (/ 1 (pow N 2)) (+ 0.5 (- 0.5))))
  (expm1 (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ (/ 1.0 (pow N 2/3)) (cbrt N))))
  (log1p (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ (/ 1.0 (pow N 2/3)) (cbrt N))))
  (exp (+ (- (/ (/ 1.0 (pow N 2/3)) (cbrt N)) (/ (/ 0.5 N) N)) (/ 0.3333333333333333 (pow N 3))))
  (log (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ (/ 1.0 (pow N 2/3)) (cbrt N))))
  (exp (+ (- (/ (/ 1.0 (pow N 2/3)) (cbrt N)) (/ (/ 0.5 N) N)) (/ 0.3333333333333333 (pow N 3))))
  (* (cbrt (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ (/ 1.0 (pow N 2/3)) (cbrt N)))) (cbrt (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ (/ 1.0 (pow N 2/3)) (cbrt N)))))
  (cbrt (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ (/ 1.0 (pow N 2/3)) (cbrt N))))
  (pow (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ (/ 1.0 (pow N 2/3)) (cbrt N))) 3)
  (sqrt (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ (/ 1.0 (pow N 2/3)) (cbrt N))))
  (sqrt (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ (/ 1.0 (pow N 2/3)) (cbrt N))))
  (+ (pow (- (/ (/ 1.0 (pow N 2/3)) (cbrt N)) (/ (/ 0.5 N) N)) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3))
  (fma (- (/ (/ 1.0 (pow N 2/3)) (cbrt N)) (+ (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (- (/ (/ 1.0 (pow N 2/3)) (cbrt N)) (/ (/ 0.5 N) N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))))
  (fma (- (/ (/ 1.0 (pow N 2/3)) (cbrt N)) (/ (/ 0.5 N) N)) (+ (- (/ (/ 1.0 (pow N 2/3)) (cbrt N))) (/ (/ 0.5 N) N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))))
  (- (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (pow N 2/3)) (cbrt N)) (/ (/ 0.5 N) N)))
  (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ (/ 1.0 (pow N 2/3)) (cbrt N)))
  (+ (/ (/ 1.0 (pow N 2/3)) (cbrt N)) (/ 0.3333333333333333 (pow N 3)))
  (expm1 (cbrt N))
  (log1p (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (pow N 2/3))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  (expm1 (cbrt N))
  (log1p (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (pow N 2/3))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  0
  0
  0
  (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)))
  (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)))
  (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)))
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt (- N)) (cbrt -1))
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt (- N)) (cbrt -1))
7.142 * * * [progress]: adding candidates to table
7.802 * * [progress]: iteration 4 / 4
7.802 * * * [progress]: picking best candidate
7.813 * * * * [pick]: Picked  #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))>
7.813 * * * [progress]: localizing error
7.861 * * * [progress]: generating rewritten candidates
7.861 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
7.862 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
7.944 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 2)
7.946 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1)
7.955 * * * [progress]: generating series expansions
7.955 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
7.955 * [backup-simplify]: Simplify (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) into (fma (- (* 0.5 (/ 1 N))) (/ 1 N) (/ 0.5 (pow N 2)))
7.955 * [approximate]: Taking taylor expansion of (fma (- (* 0.5 (/ 1 N))) (/ 1 N) (/ 0.5 (pow N 2))) in (N) around 0
7.955 * [taylor]: Taking taylor expansion of (fma (- (* 0.5 (/ 1 N))) (/ 1 N) (/ 0.5 (pow N 2))) in N
7.956 * [taylor]: Rewrote expression to (+ (* (- (* 0.5 (/ 1 N))) (/ 1 N)) (/ 0.5 (pow N 2)))
7.956 * [taylor]: Taking taylor expansion of (* (- (* 0.5 (/ 1 N))) (/ 1 N)) in N
7.956 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 N))) in N
7.956 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N
7.956 * [taylor]: Taking taylor expansion of 0.5 in N
7.956 * [backup-simplify]: Simplify 0.5 into 0.5
7.956 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.956 * [taylor]: Taking taylor expansion of N in N
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 1 into 1
7.957 * [backup-simplify]: Simplify (/ 1 1) into 1
7.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.957 * [taylor]: Taking taylor expansion of N in N
7.957 * [backup-simplify]: Simplify 0 into 0
7.957 * [backup-simplify]: Simplify 1 into 1
7.957 * [backup-simplify]: Simplify (/ 1 1) into 1
7.957 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N
7.957 * [taylor]: Taking taylor expansion of 0.5 in N
7.957 * [backup-simplify]: Simplify 0.5 into 0.5
7.957 * [taylor]: Taking taylor expansion of (pow N 2) in N
7.957 * [taylor]: Taking taylor expansion of N in N
7.957 * [backup-simplify]: Simplify 0 into 0
7.958 * [backup-simplify]: Simplify 1 into 1
7.958 * [backup-simplify]: Simplify (* 1 1) into 1
7.958 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
7.958 * [taylor]: Taking taylor expansion of (fma (- (* 0.5 (/ 1 N))) (/ 1 N) (/ 0.5 (pow N 2))) in N
7.959 * [taylor]: Rewrote expression to (+ (* (- (* 0.5 (/ 1 N))) (/ 1 N)) (/ 0.5 (pow N 2)))
7.959 * [taylor]: Taking taylor expansion of (* (- (* 0.5 (/ 1 N))) (/ 1 N)) in N
7.959 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 N))) in N
7.959 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N
7.959 * [taylor]: Taking taylor expansion of 0.5 in N
7.959 * [backup-simplify]: Simplify 0.5 into 0.5
7.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.959 * [taylor]: Taking taylor expansion of N in N
7.959 * [backup-simplify]: Simplify 0 into 0
7.959 * [backup-simplify]: Simplify 1 into 1
7.959 * [backup-simplify]: Simplify (/ 1 1) into 1
7.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.959 * [taylor]: Taking taylor expansion of N in N
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify 1 into 1
7.960 * [backup-simplify]: Simplify (/ 1 1) into 1
7.960 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N
7.960 * [taylor]: Taking taylor expansion of 0.5 in N
7.960 * [backup-simplify]: Simplify 0.5 into 0.5
7.960 * [taylor]: Taking taylor expansion of (pow N 2) in N
7.960 * [taylor]: Taking taylor expansion of N in N
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify 1 into 1
7.961 * [backup-simplify]: Simplify (* 1 1) into 1
7.961 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
7.962 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
7.962 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
7.963 * [backup-simplify]: Simplify (* (- 0.5) 1) into -0.5
7.963 * [backup-simplify]: Simplify (+ -0.5 0.5) into 0
7.963 * [backup-simplify]: Simplify 0 into 0
7.964 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
7.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.966 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
7.966 * [backup-simplify]: Simplify (- 0) into 0
7.967 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (* 0 1)) into 0
7.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
7.969 * [backup-simplify]: Simplify (+ 0 0) into 0
7.969 * [backup-simplify]: Simplify 0 into 0
7.970 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
7.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.971 * [backup-simplify]: Simplify (- 0) into 0
7.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.973 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
7.973 * [backup-simplify]: Simplify (- 0) into 0
7.974 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 1))) into 0
7.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.977 * [backup-simplify]: Simplify (+ 0 0) into 0
7.977 * [backup-simplify]: Simplify 0 into 0
7.977 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
7.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.978 * [backup-simplify]: Simplify (- 0) into 0
7.979 * [backup-simplify]: Simplify (- 0) into 0
7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.981 * [backup-simplify]: Simplify (- 0) into 0
7.982 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.984 * [backup-simplify]: Simplify (+ 0 0) into 0
7.984 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
7.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.986 * [backup-simplify]: Simplify (- 0) into 0
7.987 * [backup-simplify]: Simplify (- 0) into 0
7.987 * [backup-simplify]: Simplify (- 0) into 0
7.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.989 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.990 * [backup-simplify]: Simplify (- 0) into 0
7.991 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.994 * [backup-simplify]: Simplify (+ 0 0) into 0
7.994 * [backup-simplify]: Simplify 0 into 0
7.994 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
7.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.995 * [backup-simplify]: Simplify (- 0) into 0
7.995 * [backup-simplify]: Simplify (- 0) into 0
7.996 * [backup-simplify]: Simplify (- 0) into 0
7.996 * [backup-simplify]: Simplify (- 0) into 0
7.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.999 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.999 * [backup-simplify]: Simplify (- 0) into 0
8.001 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
8.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
8.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.004 * [backup-simplify]: Simplify (+ 0 0) into 0
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify (fma (- (/ 0.5 (/ 1 N))) (/ 1 (/ 1 N)) (* (/ 0.5 (/ 1 N)) (/ 1 (/ 1 N)))) into (fma (- (* 0.5 N)) N (* 0.5 (pow N 2)))
8.004 * [approximate]: Taking taylor expansion of (fma (- (* 0.5 N)) N (* 0.5 (pow N 2))) in (N) around 0
8.004 * [taylor]: Taking taylor expansion of (fma (- (* 0.5 N)) N (* 0.5 (pow N 2))) in N
8.004 * [taylor]: Rewrote expression to (+ (* (- (* 0.5 N)) N) (* 0.5 (pow N 2)))
8.004 * [taylor]: Taking taylor expansion of (* (- (* 0.5 N)) N) in N
8.004 * [taylor]: Taking taylor expansion of (- (* 0.5 N)) in N
8.004 * [taylor]: Taking taylor expansion of (* 0.5 N) in N
8.004 * [taylor]: Taking taylor expansion of 0.5 in N
8.005 * [backup-simplify]: Simplify 0.5 into 0.5
8.005 * [taylor]: Taking taylor expansion of N in N
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 1 into 1
8.005 * [taylor]: Taking taylor expansion of N in N
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 1 into 1
8.005 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
8.005 * [taylor]: Taking taylor expansion of 0.5 in N
8.005 * [backup-simplify]: Simplify 0.5 into 0.5
8.005 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.005 * [taylor]: Taking taylor expansion of N in N
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 1 into 1
8.005 * [taylor]: Taking taylor expansion of (fma (- (* 0.5 N)) N (* 0.5 (pow N 2))) in N
8.005 * [taylor]: Rewrote expression to (+ (* (- (* 0.5 N)) N) (* 0.5 (pow N 2)))
8.005 * [taylor]: Taking taylor expansion of (* (- (* 0.5 N)) N) in N
8.005 * [taylor]: Taking taylor expansion of (- (* 0.5 N)) in N
8.005 * [taylor]: Taking taylor expansion of (* 0.5 N) in N
8.005 * [taylor]: Taking taylor expansion of 0.5 in N
8.005 * [backup-simplify]: Simplify 0.5 into 0.5
8.005 * [taylor]: Taking taylor expansion of N in N
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 1 into 1
8.005 * [taylor]: Taking taylor expansion of N in N
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 1 into 1
8.005 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
8.005 * [taylor]: Taking taylor expansion of 0.5 in N
8.005 * [backup-simplify]: Simplify 0.5 into 0.5
8.006 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.006 * [taylor]: Taking taylor expansion of N in N
8.006 * [backup-simplify]: Simplify 0 into 0
8.006 * [backup-simplify]: Simplify 1 into 1
8.006 * [backup-simplify]: Simplify (* 0.5 0) into 0
8.006 * [backup-simplify]: Simplify (- 0) into 0
8.007 * [backup-simplify]: Simplify (* 0 0) into 0
8.007 * [backup-simplify]: Simplify (+ 0 0) into 0
8.007 * [backup-simplify]: Simplify 0 into 0
8.008 * [backup-simplify]: Simplify (- 0) into 0
8.016 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
8.016 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
8.017 * [backup-simplify]: Simplify (+ (* 0 1) (* (- 0.5) 0)) into 0
8.017 * [backup-simplify]: Simplify (+ 0 0) into 0
8.017 * [backup-simplify]: Simplify 0 into 0
8.018 * [backup-simplify]: Simplify (- 0) into 0
8.018 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
8.019 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0
8.020 * [backup-simplify]: Simplify (- 0) into 0
8.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- 0.5) 1) (* 0 0))) into (- 0.5)
8.023 * [backup-simplify]: Simplify (* 1 1) into 1
8.024 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
8.024 * [backup-simplify]: Simplify (+ (- 0.5) 0.5) into 0
8.024 * [backup-simplify]: Simplify 0 into 0
8.025 * [backup-simplify]: Simplify (- 0) into 0
8.025 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
8.026 * [backup-simplify]: Simplify (- 0) into 0
8.027 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.027 * [backup-simplify]: Simplify (- 0) into 0
8.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- 0.5) 0) (+ (* 0 1) (* 0 0)))) into 0
8.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.030 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
8.031 * [backup-simplify]: Simplify (+ 0 0) into 0
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify (- 0) into 0
8.032 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
8.032 * [backup-simplify]: Simplify (- 0) into 0
8.032 * [backup-simplify]: Simplify (- 0) into 0
8.033 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
8.034 * [backup-simplify]: Simplify (- 0) into 0
8.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
8.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.037 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
8.038 * [backup-simplify]: Simplify (+ 0 0) into 0
8.038 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify (- 0) into 0
8.038 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
8.039 * [backup-simplify]: Simplify (- 0) into 0
8.039 * [backup-simplify]: Simplify (- 0) into 0
8.039 * [backup-simplify]: Simplify (- 0) into 0
8.041 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
8.041 * [backup-simplify]: Simplify (- 0) into 0
8.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
8.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.044 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.044 * [backup-simplify]: Simplify (+ 0 0) into 0
8.044 * [backup-simplify]: Simplify 0 into 0
8.044 * [backup-simplify]: Simplify 0 into 0
8.044 * [backup-simplify]: Simplify (fma (- (/ 0.5 (/ 1 (- N)))) (/ 1 (/ 1 (- N))) (* (/ 0.5 (/ 1 (- N))) (/ 1 (/ 1 (- N))))) into (fma (* 0.5 N) (* -1 N) (* 0.5 (pow N 2)))
8.044 * [approximate]: Taking taylor expansion of (fma (* 0.5 N) (* -1 N) (* 0.5 (pow N 2))) in (N) around 0
8.044 * [taylor]: Taking taylor expansion of (fma (* 0.5 N) (* -1 N) (* 0.5 (pow N 2))) in N
8.045 * [taylor]: Rewrote expression to (+ (* (* 0.5 N) (* -1 N)) (* 0.5 (pow N 2)))
8.045 * [taylor]: Taking taylor expansion of (* (* 0.5 N) (* -1 N)) in N
8.045 * [taylor]: Taking taylor expansion of (* 0.5 N) in N
8.045 * [taylor]: Taking taylor expansion of 0.5 in N
8.045 * [backup-simplify]: Simplify 0.5 into 0.5
8.045 * [taylor]: Taking taylor expansion of N in N
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 1 into 1
8.045 * [taylor]: Taking taylor expansion of (* -1 N) in N
8.045 * [taylor]: Taking taylor expansion of -1 in N
8.045 * [backup-simplify]: Simplify -1 into -1
8.045 * [taylor]: Taking taylor expansion of N in N
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 1 into 1
8.045 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
8.045 * [taylor]: Taking taylor expansion of 0.5 in N
8.045 * [backup-simplify]: Simplify 0.5 into 0.5
8.045 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.045 * [taylor]: Taking taylor expansion of N in N
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 1 into 1
8.045 * [taylor]: Taking taylor expansion of (fma (* 0.5 N) (* -1 N) (* 0.5 (pow N 2))) in N
8.045 * [taylor]: Rewrote expression to (+ (* (* 0.5 N) (* -1 N)) (* 0.5 (pow N 2)))
8.045 * [taylor]: Taking taylor expansion of (* (* 0.5 N) (* -1 N)) in N
8.045 * [taylor]: Taking taylor expansion of (* 0.5 N) in N
8.045 * [taylor]: Taking taylor expansion of 0.5 in N
8.045 * [backup-simplify]: Simplify 0.5 into 0.5
8.045 * [taylor]: Taking taylor expansion of N in N
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 1 into 1
8.045 * [taylor]: Taking taylor expansion of (* -1 N) in N
8.045 * [taylor]: Taking taylor expansion of -1 in N
8.045 * [backup-simplify]: Simplify -1 into -1
8.045 * [taylor]: Taking taylor expansion of N in N
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 1 into 1
8.045 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
8.045 * [taylor]: Taking taylor expansion of 0.5 in N
8.045 * [backup-simplify]: Simplify 0.5 into 0.5
8.045 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.045 * [taylor]: Taking taylor expansion of N in N
8.045 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify 1 into 1
8.046 * [backup-simplify]: Simplify (* 0.5 0) into 0
8.046 * [backup-simplify]: Simplify (* -1 0) into 0
8.046 * [backup-simplify]: Simplify (* 0 0) into 0
8.047 * [backup-simplify]: Simplify (+ 0 0) into 0
8.047 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
8.048 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
8.048 * [backup-simplify]: Simplify (+ (* 0 -1) (* 0.5 0)) into 0
8.048 * [backup-simplify]: Simplify (+ 0 0) into 0
8.048 * [backup-simplify]: Simplify 0 into 0
8.049 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
8.050 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0
8.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 -1) (* 0 0))) into (- 0.5)
8.051 * [backup-simplify]: Simplify (* 1 1) into 1
8.051 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
8.052 * [backup-simplify]: Simplify (+ (- 0.5) 0.5) into 0
8.052 * [backup-simplify]: Simplify 0 into 0
8.053 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 -1) (* 0 0)))) into 0
8.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.055 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
8.055 * [backup-simplify]: Simplify (+ 0 0) into 0
8.055 * [backup-simplify]: Simplify 0 into 0
8.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
8.056 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
8.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0))))) into 0
8.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.058 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
8.058 * [backup-simplify]: Simplify (+ 0 0) into 0
8.058 * [backup-simplify]: Simplify 0 into 0
8.059 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
8.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
8.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))))) into 0
8.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.062 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.062 * [backup-simplify]: Simplify (+ 0 0) into 0
8.062 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify 0 into 0
8.062 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
8.063 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) into (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2))))))
8.063 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2)))))) in (N) around 0
8.063 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2)))))) in N
8.063 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N
8.063 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
8.063 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.063 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
8.063 * [taylor]: Taking taylor expansion of (pow N 3) in N
8.063 * [taylor]: Taking taylor expansion of N in N
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [backup-simplify]: Simplify (* 1 1) into 1
8.064 * [backup-simplify]: Simplify (* 1 1) into 1
8.064 * [backup-simplify]: Simplify (/ 1 1) into 1
8.064 * [taylor]: Taking taylor expansion of (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2))))) in N
8.064 * [taylor]: Rewrote expression to (+ (* (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (- (* 0.5 (/ 1 (pow N 2)))))
8.064 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0))) in N
8.064 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) in N
8.064 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
8.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
8.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
8.064 * [taylor]: Taking taylor expansion of 1/3 in N
8.064 * [backup-simplify]: Simplify 1/3 into 1/3
8.064 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
8.064 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
8.064 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.064 * [taylor]: Taking taylor expansion of N in N
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 1 into 1
8.065 * [backup-simplify]: Simplify (* 1 1) into 1
8.065 * [backup-simplify]: Simplify (/ 1 1) into 1
8.065 * [backup-simplify]: Simplify (log 1) into 0
8.065 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.065 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.065 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.065 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.065 * [taylor]: Taking taylor expansion of 1.0 in N
8.065 * [backup-simplify]: Simplify 1.0 into 1.0
8.066 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.066 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt 1.0)) in N
8.066 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.066 * [taylor]: Taking taylor expansion of 1/3 in N
8.066 * [backup-simplify]: Simplify 1/3 into 1/3
8.066 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.066 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.066 * [taylor]: Taking taylor expansion of N in N
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify 1 into 1
8.067 * [backup-simplify]: Simplify (/ 1 1) into 1
8.067 * [backup-simplify]: Simplify (log 1) into 0
8.067 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.067 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.067 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.067 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.067 * [taylor]: Taking taylor expansion of 1.0 in N
8.067 * [backup-simplify]: Simplify 1.0 into 1.0
8.068 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.068 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2)))) in N
8.068 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N
8.068 * [taylor]: Taking taylor expansion of 0.5 in N
8.068 * [backup-simplify]: Simplify 0.5 into 0.5
8.068 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
8.068 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.068 * [taylor]: Taking taylor expansion of N in N
8.068 * [backup-simplify]: Simplify 0 into 0
8.068 * [backup-simplify]: Simplify 1 into 1
8.069 * [backup-simplify]: Simplify (* 1 1) into 1
8.069 * [backup-simplify]: Simplify (/ 1 1) into 1
8.069 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2)))))) in N
8.069 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N
8.069 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
8.069 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.069 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N
8.069 * [taylor]: Taking taylor expansion of (pow N 3) in N
8.069 * [taylor]: Taking taylor expansion of N in N
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 1 into 1
8.069 * [backup-simplify]: Simplify (* 1 1) into 1
8.070 * [backup-simplify]: Simplify (* 1 1) into 1
8.070 * [backup-simplify]: Simplify (/ 1 1) into 1
8.070 * [taylor]: Taking taylor expansion of (fma (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0)) (- (* 0.5 (/ 1 (pow N 2))))) in N
8.070 * [taylor]: Rewrote expression to (+ (* (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (- (* 0.5 (/ 1 (pow N 2)))))
8.070 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0))) in N
8.070 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) in N
8.070 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
8.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
8.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
8.070 * [taylor]: Taking taylor expansion of 1/3 in N
8.070 * [backup-simplify]: Simplify 1/3 into 1/3
8.070 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
8.070 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
8.070 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.070 * [taylor]: Taking taylor expansion of N in N
8.070 * [backup-simplify]: Simplify 0 into 0
8.070 * [backup-simplify]: Simplify 1 into 1
8.071 * [backup-simplify]: Simplify (* 1 1) into 1
8.071 * [backup-simplify]: Simplify (/ 1 1) into 1
8.071 * [backup-simplify]: Simplify (log 1) into 0
8.071 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.071 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.071 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.071 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.071 * [taylor]: Taking taylor expansion of 1.0 in N
8.072 * [backup-simplify]: Simplify 1.0 into 1.0
8.072 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.072 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt 1.0)) in N
8.072 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.072 * [taylor]: Taking taylor expansion of 1/3 in N
8.072 * [backup-simplify]: Simplify 1/3 into 1/3
8.072 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.072 * [taylor]: Taking taylor expansion of N in N
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify 1 into 1
8.073 * [backup-simplify]: Simplify (/ 1 1) into 1
8.073 * [backup-simplify]: Simplify (log 1) into 0
8.073 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.073 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.073 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.073 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.073 * [taylor]: Taking taylor expansion of 1.0 in N
8.073 * [backup-simplify]: Simplify 1.0 into 1.0
8.074 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.074 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2)))) in N
8.074 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N
8.074 * [taylor]: Taking taylor expansion of 0.5 in N
8.074 * [backup-simplify]: Simplify 0.5 into 0.5
8.074 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
8.074 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.074 * [taylor]: Taking taylor expansion of N in N
8.074 * [backup-simplify]: Simplify 0 into 0
8.074 * [backup-simplify]: Simplify 1 into 1
8.074 * [backup-simplify]: Simplify (* 1 1) into 1
8.075 * [backup-simplify]: Simplify (/ 1 1) into 1
8.075 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
8.076 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
8.076 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.078 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
8.079 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
8.079 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
8.080 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
8.081 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
8.081 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
8.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.084 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
8.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.086 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
8.087 * [backup-simplify]: Simplify (- 0) into 0
8.087 * [backup-simplify]: Simplify (+ 0 0) into 0
8.087 * [backup-simplify]: Simplify (+ 0 0) into 0
8.087 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.091 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.092 * [backup-simplify]: Simplify (* (pow N -2/3) (sqrt 1.0)) into (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))
8.092 * [backup-simplify]: Simplify (* (pow N -1/3) (sqrt 1.0)) into (* (pow (/ 1 N) 1/3) (sqrt 1.0))
8.093 * [backup-simplify]: Simplify (* (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) (* (pow (/ 1 N) 1/3) (sqrt 1.0))) into (/ (pow (sqrt 1.0) 2) N)
8.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
8.095 * [backup-simplify]: Simplify (- 0) into 0
8.096 * [backup-simplify]: Simplify (+ (/ (pow (sqrt 1.0) 2) N) 0) into (/ (pow (sqrt 1.0) 2) N)
8.096 * [backup-simplify]: Simplify (+ 0 (/ (pow (sqrt 1.0) 2) N)) into (/ (pow (sqrt 1.0) 2) N)
8.097 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) N) into (/ (pow (sqrt 1.0) 2) N)
8.098 * [backup-simplify]: Simplify (+ (/ (pow (sqrt 1.0) 2) N) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (/ (pow (sqrt 1.0) 2) N) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))
8.099 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (fma (/ (sqrt 1.0) (* (cbrt (/ 1 N)) (* (cbrt (sqrt (/ 1 N))) (cbrt (sqrt (/ 1 N)))))) (/ (sqrt 1.0) (cbrt (/ 1 N))) (- (/ (/ 0.5 (/ 1 N)) (/ 1 N))))) into (+ (* 0.3333333333333333 (pow N 3)) (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2)))))
8.099 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2))))) in (N) around 0
8.099 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2))))) in N
8.099 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
8.099 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
8.099 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.099 * [taylor]: Taking taylor expansion of (pow N 3) in N
8.099 * [taylor]: Taking taylor expansion of N in N
8.099 * [backup-simplify]: Simplify 0 into 0
8.099 * [backup-simplify]: Simplify 1 into 1
8.099 * [taylor]: Taking taylor expansion of (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2)))) in N
8.100 * [taylor]: Rewrote expression to (+ (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0))) (- (* 0.5 (pow N 2))))
8.100 * [taylor]: Taking taylor expansion of (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0))) in N
8.100 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt 1.0)) in N
8.100 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
8.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
8.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
8.100 * [taylor]: Taking taylor expansion of 1/3 in N
8.100 * [backup-simplify]: Simplify 1/3 into 1/3
8.100 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
8.100 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.100 * [taylor]: Taking taylor expansion of N in N
8.100 * [backup-simplify]: Simplify 0 into 0
8.100 * [backup-simplify]: Simplify 1 into 1
8.100 * [backup-simplify]: Simplify (* 1 1) into 1
8.100 * [backup-simplify]: Simplify (log 1) into 0
8.101 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
8.101 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
8.101 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
8.101 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.101 * [taylor]: Taking taylor expansion of 1.0 in N
8.101 * [backup-simplify]: Simplify 1.0 into 1.0
8.101 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.102 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt 1.0)) in N
8.102 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.102 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.102 * [taylor]: Taking taylor expansion of 1/3 in N
8.102 * [backup-simplify]: Simplify 1/3 into 1/3
8.102 * [taylor]: Taking taylor expansion of (log N) in N
8.102 * [taylor]: Taking taylor expansion of N in N
8.102 * [backup-simplify]: Simplify 0 into 0
8.102 * [backup-simplify]: Simplify 1 into 1
8.102 * [backup-simplify]: Simplify (log 1) into 0
8.102 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.102 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.102 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.102 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.102 * [taylor]: Taking taylor expansion of 1.0 in N
8.102 * [backup-simplify]: Simplify 1.0 into 1.0
8.103 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.103 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N
8.103 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
8.103 * [taylor]: Taking taylor expansion of 0.5 in N
8.103 * [backup-simplify]: Simplify 0.5 into 0.5
8.103 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.103 * [taylor]: Taking taylor expansion of N in N
8.103 * [backup-simplify]: Simplify 0 into 0
8.103 * [backup-simplify]: Simplify 1 into 1
8.103 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2))))) in N
8.103 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
8.103 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
8.103 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.103 * [taylor]: Taking taylor expansion of (pow N 3) in N
8.103 * [taylor]: Taking taylor expansion of N in N
8.103 * [backup-simplify]: Simplify 0 into 0
8.103 * [backup-simplify]: Simplify 1 into 1
8.103 * [taylor]: Taking taylor expansion of (fma (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0)) (- (* 0.5 (pow N 2)))) in N
8.104 * [taylor]: Rewrote expression to (+ (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0))) (- (* 0.5 (pow N 2))))
8.104 * [taylor]: Taking taylor expansion of (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0))) in N
8.104 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt 1.0)) in N
8.104 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
8.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
8.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
8.104 * [taylor]: Taking taylor expansion of 1/3 in N
8.104 * [backup-simplify]: Simplify 1/3 into 1/3
8.104 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
8.104 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.104 * [taylor]: Taking taylor expansion of N in N
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify 1 into 1
8.104 * [backup-simplify]: Simplify (* 1 1) into 1
8.104 * [backup-simplify]: Simplify (log 1) into 0
8.105 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
8.105 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
8.105 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
8.105 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.105 * [taylor]: Taking taylor expansion of 1.0 in N
8.105 * [backup-simplify]: Simplify 1.0 into 1.0
8.105 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.106 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt 1.0)) in N
8.106 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.106 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.106 * [taylor]: Taking taylor expansion of 1/3 in N
8.106 * [backup-simplify]: Simplify 1/3 into 1/3
8.106 * [taylor]: Taking taylor expansion of (log N) in N
8.106 * [taylor]: Taking taylor expansion of N in N
8.106 * [backup-simplify]: Simplify 0 into 0
8.106 * [backup-simplify]: Simplify 1 into 1
8.106 * [backup-simplify]: Simplify (log 1) into 0
8.106 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.106 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.107 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.107 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.107 * [taylor]: Taking taylor expansion of 1.0 in N
8.107 * [backup-simplify]: Simplify 1.0 into 1.0
8.107 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.107 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N
8.107 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
8.107 * [taylor]: Taking taylor expansion of 0.5 in N
8.107 * [backup-simplify]: Simplify 0.5 into 0.5
8.107 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.107 * [taylor]: Taking taylor expansion of N in N
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify 1 into 1
8.108 * [backup-simplify]: Simplify (* (pow N 2/3) (sqrt 1.0)) into (* (pow (pow N 2) 1/3) (sqrt 1.0))
8.108 * [backup-simplify]: Simplify (* (pow N 1/3) (sqrt 1.0)) into (* (pow N 1/3) (sqrt 1.0))
8.109 * [backup-simplify]: Simplify (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) (* (pow N 1/3) (sqrt 1.0))) into (* N (pow (sqrt 1.0) 2))
8.110 * [backup-simplify]: Simplify (+ (* N (pow (sqrt 1.0) 2)) 0) into (* N (pow (sqrt 1.0) 2))
8.111 * [backup-simplify]: Simplify (+ 0 (* N (pow (sqrt 1.0) 2))) into (* N (pow (sqrt 1.0) 2))
8.111 * [backup-simplify]: Simplify (* N (pow (sqrt 1.0) 2)) into (* N (pow (sqrt 1.0) 2))
8.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.112 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.113 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
8.113 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.114 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* 0 (sqrt 1.0))) into 0
8.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.115 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
8.115 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0
8.116 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.116 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (* 0 (sqrt 1.0))) into 0
8.117 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) 0) (* 0 (* (pow N 1/3) (sqrt 1.0)))) into 0
8.117 * [backup-simplify]: Simplify (+ 0 0) into 0
8.118 * [backup-simplify]: Simplify (+ 0 0) into 0
8.118 * [backup-simplify]: Simplify 0 into 0
8.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
8.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.120 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.121 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
8.129 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.130 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0
8.132 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
8.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.136 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
8.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0
8.138 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.140 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0
8.142 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (* (pow N 1/3) (sqrt 1.0))))) into 0
8.142 * [backup-simplify]: Simplify (* 1 1) into 1
8.143 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
8.143 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
8.144 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
8.145 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
8.145 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
8.146 * [backup-simplify]: Simplify (* 1 1) into 1
8.146 * [backup-simplify]: Simplify (* 1 1) into 1
8.146 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
8.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
8.153 * [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
8.154 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.155 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
8.157 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.158 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0
8.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
8.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.164 * [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
8.165 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
8.165 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0
8.166 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.167 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0
8.168 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow N 1/3) (sqrt 1.0)))))) into 0
8.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.169 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
8.169 * [backup-simplify]: Simplify (- 0) into 0
8.170 * [backup-simplify]: Simplify (+ 0 0) into 0
8.170 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
8.170 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.171 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* (/ 1 N) (pow (sqrt 1.0) 2)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ (pow (sqrt 1.0) 2) N)) (* 0.5 (/ 1 (pow N 2))))
8.172 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (fma (/ (sqrt 1.0) (* (cbrt (/ 1 (- N))) (* (cbrt (sqrt (/ 1 (- N)))) (cbrt (sqrt (/ 1 (- N))))))) (/ (sqrt 1.0) (cbrt (/ 1 (- N)))) (- (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N)))))) into (- (fma (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3)))
8.172 * [approximate]: Taking taylor expansion of (- (fma (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in (N) around 0
8.172 * [taylor]: Taking taylor expansion of (- (fma (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in N
8.173 * [taylor]: Taking taylor expansion of (fma (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) in N
8.173 * [taylor]: Rewrote expression to (+ (* (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1)))) (- (* 0.5 (pow N 2))))
8.173 * [taylor]: Taking taylor expansion of (* (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1)))) in N
8.173 * [taylor]: Taking taylor expansion of (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) in N
8.173 * [taylor]: Taking taylor expansion of (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) in N
8.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ N (pow (sqrt (/ -1 N)) 2))))) in N
8.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ N (pow (sqrt (/ -1 N)) 2)))) in N
8.173 * [taylor]: Taking taylor expansion of 1/3 in N
8.173 * [backup-simplify]: Simplify 1/3 into 1/3
8.173 * [taylor]: Taking taylor expansion of (log (/ N (pow (sqrt (/ -1 N)) 2))) in N
8.173 * [taylor]: Taking taylor expansion of (/ N (pow (sqrt (/ -1 N)) 2)) in N
8.173 * [taylor]: Taking taylor expansion of N in N
8.173 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify 1 into 1
8.173 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N
8.173 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N
8.173 * [taylor]: Taking taylor expansion of (/ -1 N) in N
8.173 * [taylor]: Taking taylor expansion of -1 in N
8.173 * [backup-simplify]: Simplify -1 into -1
8.173 * [taylor]: Taking taylor expansion of N in N
8.173 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify 1 into 1
8.173 * [backup-simplify]: Simplify (/ -1 1) into -1
8.174 * [backup-simplify]: Simplify (sqrt 0) into 0
8.175 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.175 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0
8.175 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
8.175 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
8.176 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log +nan.0) (log N))
8.176 * [backup-simplify]: Simplify (* 1/3 (+ (log +nan.0) (log N))) into (* 1/3 (+ (log +nan.0) (log N)))
8.176 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log +nan.0) (log N)))) into (exp (* 1/3 (+ (log +nan.0) (log N))))
8.176 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (cbrt -1)) in N
8.176 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.177 * [taylor]: Taking taylor expansion of 1.0 in N
8.177 * [backup-simplify]: Simplify 1.0 into 1.0
8.177 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.177 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.177 * [taylor]: Taking taylor expansion of -1 in N
8.177 * [backup-simplify]: Simplify -1 into -1
8.178 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.178 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.179 * [backup-simplify]: Simplify (/ (sqrt 1.0) (cbrt -1)) into (/ (sqrt 1.0) (cbrt -1))
8.179 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) in N
8.179 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.179 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.179 * [taylor]: Taking taylor expansion of 1/3 in N
8.179 * [backup-simplify]: Simplify 1/3 into 1/3
8.179 * [taylor]: Taking taylor expansion of (log N) in N
8.179 * [taylor]: Taking taylor expansion of N in N
8.179 * [backup-simplify]: Simplify 0 into 0
8.179 * [backup-simplify]: Simplify 1 into 1
8.179 * [backup-simplify]: Simplify (log 1) into 0
8.180 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.180 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.180 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.180 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (cbrt -1)) in N
8.180 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.180 * [taylor]: Taking taylor expansion of 1.0 in N
8.180 * [backup-simplify]: Simplify 1.0 into 1.0
8.180 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.181 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.181 * [taylor]: Taking taylor expansion of -1 in N
8.181 * [backup-simplify]: Simplify -1 into -1
8.181 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.181 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.182 * [backup-simplify]: Simplify (/ (sqrt 1.0) (cbrt -1)) into (/ (sqrt 1.0) (cbrt -1))
8.182 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N
8.182 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
8.182 * [taylor]: Taking taylor expansion of 0.5 in N
8.182 * [backup-simplify]: Simplify 0.5 into 0.5
8.182 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.182 * [taylor]: Taking taylor expansion of N in N
8.182 * [backup-simplify]: Simplify 0 into 0
8.182 * [backup-simplify]: Simplify 1 into 1
8.182 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
8.182 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
8.182 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.182 * [taylor]: Taking taylor expansion of (pow N 3) in N
8.182 * [taylor]: Taking taylor expansion of N in N
8.182 * [backup-simplify]: Simplify 0 into 0
8.182 * [backup-simplify]: Simplify 1 into 1
8.182 * [taylor]: Taking taylor expansion of (- (fma (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in N
8.182 * [taylor]: Taking taylor expansion of (fma (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) (- (* 0.5 (pow N 2)))) in N
8.183 * [taylor]: Rewrote expression to (+ (* (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1)))) (- (* 0.5 (pow N 2))))
8.183 * [taylor]: Taking taylor expansion of (* (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1)))) in N
8.183 * [taylor]: Taking taylor expansion of (* (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) (/ (sqrt 1.0) (cbrt -1))) in N
8.183 * [taylor]: Taking taylor expansion of (pow (/ N (pow (sqrt (/ -1 N)) 2)) 1/3) in N
8.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ N (pow (sqrt (/ -1 N)) 2))))) in N
8.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ N (pow (sqrt (/ -1 N)) 2)))) in N
8.183 * [taylor]: Taking taylor expansion of 1/3 in N
8.183 * [backup-simplify]: Simplify 1/3 into 1/3
8.183 * [taylor]: Taking taylor expansion of (log (/ N (pow (sqrt (/ -1 N)) 2))) in N
8.183 * [taylor]: Taking taylor expansion of (/ N (pow (sqrt (/ -1 N)) 2)) in N
8.183 * [taylor]: Taking taylor expansion of N in N
8.183 * [backup-simplify]: Simplify 0 into 0
8.183 * [backup-simplify]: Simplify 1 into 1
8.183 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N
8.183 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N
8.183 * [taylor]: Taking taylor expansion of (/ -1 N) in N
8.183 * [taylor]: Taking taylor expansion of -1 in N
8.183 * [backup-simplify]: Simplify -1 into -1
8.183 * [taylor]: Taking taylor expansion of N in N
8.183 * [backup-simplify]: Simplify 0 into 0
8.183 * [backup-simplify]: Simplify 1 into 1
8.183 * [backup-simplify]: Simplify (/ -1 1) into -1
8.183 * [backup-simplify]: Simplify (sqrt 0) into 0
8.184 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.184 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0
8.185 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
8.185 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
8.185 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log +nan.0) (log N))
8.186 * [backup-simplify]: Simplify (* 1/3 (+ (log +nan.0) (log N))) into (* 1/3 (+ (log +nan.0) (log N)))
8.186 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log +nan.0) (log N)))) into (exp (* 1/3 (+ (log +nan.0) (log N))))
8.186 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (cbrt -1)) in N
8.186 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.186 * [taylor]: Taking taylor expansion of 1.0 in N
8.186 * [backup-simplify]: Simplify 1.0 into 1.0
8.187 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.187 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.187 * [taylor]: Taking taylor expansion of -1 in N
8.187 * [backup-simplify]: Simplify -1 into -1
8.188 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.188 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.189 * [backup-simplify]: Simplify (/ (sqrt 1.0) (cbrt -1)) into (/ (sqrt 1.0) (cbrt -1))
8.189 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) in N
8.189 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.189 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.189 * [taylor]: Taking taylor expansion of 1/3 in N
8.189 * [backup-simplify]: Simplify 1/3 into 1/3
8.189 * [taylor]: Taking taylor expansion of (log N) in N
8.189 * [taylor]: Taking taylor expansion of N in N
8.189 * [backup-simplify]: Simplify 0 into 0
8.189 * [backup-simplify]: Simplify 1 into 1
8.189 * [backup-simplify]: Simplify (log 1) into 0
8.190 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.190 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.190 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.190 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (cbrt -1)) in N
8.190 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N
8.190 * [taylor]: Taking taylor expansion of 1.0 in N
8.190 * [backup-simplify]: Simplify 1.0 into 1.0
8.190 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
8.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
8.191 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.191 * [taylor]: Taking taylor expansion of -1 in N
8.191 * [backup-simplify]: Simplify -1 into -1
8.191 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.191 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.192 * [backup-simplify]: Simplify (/ (sqrt 1.0) (cbrt -1)) into (/ (sqrt 1.0) (cbrt -1))
8.192 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N
8.192 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N
8.192 * [taylor]: Taking taylor expansion of 0.5 in N
8.192 * [backup-simplify]: Simplify 0.5 into 0.5
8.192 * [taylor]: Taking taylor expansion of (pow N 2) in N
8.192 * [taylor]: Taking taylor expansion of N in N
8.192 * [backup-simplify]: Simplify 0 into 0
8.192 * [backup-simplify]: Simplify 1 into 1
8.192 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N
8.192 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
8.192 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.192 * [taylor]: Taking taylor expansion of (pow N 3) in N
8.192 * [taylor]: Taking taylor expansion of N in N
8.192 * [backup-simplify]: Simplify 0 into 0
8.192 * [backup-simplify]: Simplify 1 into 1
8.194 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (/ (sqrt 1.0) (cbrt -1))) into (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (sqrt 1.0)) (cbrt -1))
8.195 * [backup-simplify]: Simplify (* (pow N 1/3) (/ (sqrt 1.0) (cbrt -1))) into (* (/ (sqrt 1.0) (cbrt -1)) (pow N 1/3))
8.198 * [backup-simplify]: Simplify (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (sqrt 1.0)) (cbrt -1)) (* (/ (sqrt 1.0) (cbrt -1)) (pow N 1/3))) into (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))
8.201 * [backup-simplify]: Simplify (+ (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3)) 0) into (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))
8.204 * [backup-simplify]: Simplify (+ (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3)) 0) into (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))
8.206 * [backup-simplify]: Simplify (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3)) into (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))
8.208 * [backup-simplify]: Simplify (- (/ 0 (cbrt -1)) (+ (* (/ (sqrt 1.0) (cbrt -1)) (/ 0 (cbrt -1))))) into 0
8.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.210 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
8.211 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.212 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* 0 (/ (sqrt 1.0) (cbrt -1)))) into 0
8.213 * [backup-simplify]: Simplify (- (/ 0 (cbrt -1)) (+ (* (/ (sqrt 1.0) (cbrt -1)) (/ 0 (cbrt -1))))) into 0
8.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.217 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.218 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0)
8.222 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0)
8.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0
8.230 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log +nan.0) (log N))
8.231 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (+ (log +nan.0) (log N)))) into (- +nan.0)
8.235 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (exp (* 1/3 (+ (log +nan.0) (log N)))))
8.238 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) 0) (* (* +nan.0 (exp (* 1/3 (+ (log +nan.0) (log N))))) (/ (sqrt 1.0) (cbrt -1)))) into (- (* +nan.0 (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (sqrt 1.0)) (cbrt -1))))
8.243 * [backup-simplify]: Simplify (+ (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (sqrt 1.0)) (cbrt -1)) 0) (* (- (* +nan.0 (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (sqrt 1.0)) (cbrt -1)))) (* (/ (sqrt 1.0) (cbrt -1)) (pow N 1/3)))) into (- (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))))
8.246 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3)))) 0) into (- (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))))
8.250 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3)))) 0) into (- (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))))
8.252 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3)))) into (- (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))))
8.253 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
8.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.255 * [backup-simplify]: Simplify (- (/ 0 (cbrt -1)) (+ (* (/ (sqrt 1.0) (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0
8.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.264 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.265 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
8.266 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.266 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (* 0 (/ (sqrt 1.0) (cbrt -1))))) into 0
8.267 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
8.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.269 * [backup-simplify]: Simplify (- (/ 0 (cbrt -1)) (+ (* (/ (sqrt 1.0) (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0
8.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.273 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0)
8.277 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0)
8.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0
8.288 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log +nan.0) (log N))
8.289 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (+ (log +nan.0) (log N))))) into (- +nan.0)
8.293 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (exp (* 1/3 (+ (log +nan.0) (log N)))))
8.294 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) 0) (+ (* (* +nan.0 (exp (* 1/3 (+ (log +nan.0) (log N))))) 0) (* (* +nan.0 (exp (* 1/3 (+ (log +nan.0) (log N))))) (/ (sqrt 1.0) (cbrt -1))))) into (- (* +nan.0 (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (sqrt 1.0)) (cbrt -1))))
8.298 * [backup-simplify]: Simplify (+ (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (sqrt 1.0)) (cbrt -1)) 0) (+ (* (- (* +nan.0 (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (sqrt 1.0)) (cbrt -1)))) 0) (* (- (* +nan.0 (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (sqrt 1.0)) (cbrt -1)))) (* (/ (sqrt 1.0) (cbrt -1)) (pow N 1/3))))) into (- (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))))
8.299 * [backup-simplify]: Simplify (* 1 1) into 1
8.299 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
8.299 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
8.302 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3)))) (- 0.5)) into (- (+ (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))) 0.5))
8.304 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))) 0.5)) 0) into (- (+ (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))) 0.5))
8.306 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))) 0.5)) into (- (+ (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log N)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow N 1/3))) 0.5))
8.313 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log (/ 1 (- N)))))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow (/ 1 (- N)) 1/3))) 0.5)) (pow (/ 1 (- N)) 2)) (+ (* (- (* +nan.0 (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log (/ 1 (- N)))))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow (/ 1 (- N)) 1/3)))) (/ 1 (- N))) (* (/ (* (exp (* 1/3 (+ (log +nan.0) (log (/ 1 (- N)))))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)) (pow (/ 1 (- N)) 1/3)))) into (- (* (pow (/ -1 N) 1/3) (/ (* (exp (* 1/3 (+ (log (/ -1 N)) (log +nan.0)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2))) (+ (* 0.5 (/ 1 (pow N 2))) (- (+ (* +nan.0 (* (pow (/ -1 (pow N 4)) 1/3) (/ (* (exp (* 1/3 (+ (log (/ -1 N)) (log +nan.0)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)))) (- (* +nan.0 (* (pow (/ -1 (pow N 7)) 1/3) (/ (* (exp (* 1/3 (+ (log (/ -1 N)) (log +nan.0)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)))))))))
8.313 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 2)
8.313 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
8.313 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
8.313 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.313 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.313 * [taylor]: Taking taylor expansion of 1/3 in N
8.313 * [backup-simplify]: Simplify 1/3 into 1/3
8.313 * [taylor]: Taking taylor expansion of (log N) in N
8.313 * [taylor]: Taking taylor expansion of N in N
8.313 * [backup-simplify]: Simplify 0 into 0
8.313 * [backup-simplify]: Simplify 1 into 1
8.313 * [backup-simplify]: Simplify (log 1) into 0
8.314 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.314 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.314 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.314 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.314 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.314 * [taylor]: Taking taylor expansion of 1/3 in N
8.314 * [backup-simplify]: Simplify 1/3 into 1/3
8.314 * [taylor]: Taking taylor expansion of (log N) in N
8.314 * [taylor]: Taking taylor expansion of N in N
8.314 * [backup-simplify]: Simplify 0 into 0
8.314 * [backup-simplify]: Simplify 1 into 1
8.314 * [backup-simplify]: Simplify (log 1) into 0
8.314 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.314 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.315 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.315 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.316 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.316 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
8.317 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.317 * [backup-simplify]: Simplify 0 into 0
8.318 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.319 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.319 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
8.320 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.320 * [backup-simplify]: Simplify 0 into 0
8.323 * [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
8.323 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.324 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
8.325 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.325 * [backup-simplify]: Simplify 0 into 0
8.330 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
8.331 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
8.333 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.333 * [backup-simplify]: Simplify 0 into 0
8.350 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
8.351 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
8.357 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.357 * [backup-simplify]: Simplify 0 into 0
8.395 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
8.396 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.397 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
8.400 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.400 * [backup-simplify]: Simplify 0 into 0
8.400 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.401 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
8.401 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
8.401 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.401 * [taylor]: Taking taylor expansion of 1/3 in N
8.401 * [backup-simplify]: Simplify 1/3 into 1/3
8.401 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.401 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.401 * [taylor]: Taking taylor expansion of N in N
8.401 * [backup-simplify]: Simplify 0 into 0
8.401 * [backup-simplify]: Simplify 1 into 1
8.401 * [backup-simplify]: Simplify (/ 1 1) into 1
8.401 * [backup-simplify]: Simplify (log 1) into 0
8.402 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.402 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.402 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.402 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.402 * [taylor]: Taking taylor expansion of 1/3 in N
8.402 * [backup-simplify]: Simplify 1/3 into 1/3
8.402 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.402 * [taylor]: Taking taylor expansion of N in N
8.402 * [backup-simplify]: Simplify 0 into 0
8.402 * [backup-simplify]: Simplify 1 into 1
8.402 * [backup-simplify]: Simplify (/ 1 1) into 1
8.402 * [backup-simplify]: Simplify (log 1) into 0
8.403 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.403 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.403 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.403 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
8.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.404 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.405 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.405 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.405 * [backup-simplify]: Simplify 0 into 0
8.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.408 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.408 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.409 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.409 * [backup-simplify]: Simplify 0 into 0
8.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.412 * [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
8.413 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.413 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.414 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.414 * [backup-simplify]: Simplify 0 into 0
8.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.422 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
8.423 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.427 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.428 * [backup-simplify]: Simplify 0 into 0
8.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.447 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
8.448 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.453 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.454 * [backup-simplify]: Simplify 0 into 0
8.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.490 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
8.490 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.499 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.499 * [backup-simplify]: Simplify 0 into 0
8.499 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
8.499 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3))
8.499 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0
8.499 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
8.499 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.499 * [taylor]: Taking taylor expansion of -1 in N
8.499 * [backup-simplify]: Simplify -1 into -1
8.500 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.500 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.500 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.500 * [taylor]: Taking taylor expansion of 1/3 in N
8.500 * [backup-simplify]: Simplify 1/3 into 1/3
8.500 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.500 * [taylor]: Taking taylor expansion of N in N
8.500 * [backup-simplify]: Simplify 0 into 0
8.500 * [backup-simplify]: Simplify 1 into 1
8.501 * [backup-simplify]: Simplify (/ 1 1) into 1
8.501 * [backup-simplify]: Simplify (log 1) into 0
8.501 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.501 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.501 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.501 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
8.501 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.501 * [taylor]: Taking taylor expansion of -1 in N
8.501 * [backup-simplify]: Simplify -1 into -1
8.502 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.502 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.502 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.502 * [taylor]: Taking taylor expansion of 1/3 in N
8.502 * [backup-simplify]: Simplify 1/3 into 1/3
8.502 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.502 * [taylor]: Taking taylor expansion of N in N
8.502 * [backup-simplify]: Simplify 0 into 0
8.502 * [backup-simplify]: Simplify 1 into 1
8.502 * [backup-simplify]: Simplify (/ 1 1) into 1
8.503 * [backup-simplify]: Simplify (log 1) into 0
8.503 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.503 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.503 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.504 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3))
8.504 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3))
8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.505 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.506 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.513 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0
8.513 * [backup-simplify]: Simplify 0 into 0
8.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.516 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.516 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.516 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.517 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.519 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0
8.519 * [backup-simplify]: Simplify 0 into 0
8.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.522 * [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
8.522 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.523 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.524 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.525 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0
8.525 * [backup-simplify]: Simplify 0 into 0
8.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.532 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
8.532 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.535 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.537 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0
8.537 * [backup-simplify]: Simplify 0 into 0
8.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.547 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
8.547 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.548 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.550 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.553 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.580 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
8.580 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.581 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.585 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.587 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0
8.587 * [backup-simplify]: Simplify 0 into 0
8.588 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1))
8.588 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1)
8.588 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
8.588 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
8.588 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.588 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.588 * [taylor]: Taking taylor expansion of 1/3 in N
8.588 * [backup-simplify]: Simplify 1/3 into 1/3
8.588 * [taylor]: Taking taylor expansion of (log N) in N
8.588 * [taylor]: Taking taylor expansion of N in N
8.588 * [backup-simplify]: Simplify 0 into 0
8.588 * [backup-simplify]: Simplify 1 into 1
8.588 * [backup-simplify]: Simplify (log 1) into 0
8.588 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.589 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.589 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.589 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.589 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.589 * [taylor]: Taking taylor expansion of 1/3 in N
8.589 * [backup-simplify]: Simplify 1/3 into 1/3
8.589 * [taylor]: Taking taylor expansion of (log N) in N
8.589 * [taylor]: Taking taylor expansion of N in N
8.589 * [backup-simplify]: Simplify 0 into 0
8.589 * [backup-simplify]: Simplify 1 into 1
8.589 * [backup-simplify]: Simplify (log 1) into 0
8.589 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.589 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.589 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.589 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.590 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.591 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.591 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
8.591 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.591 * [backup-simplify]: Simplify 0 into 0
8.594 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.594 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.595 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
8.597 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.597 * [backup-simplify]: Simplify 0 into 0
8.603 * [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
8.603 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.605 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
8.607 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.607 * [backup-simplify]: Simplify 0 into 0
8.628 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
8.629 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.631 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
8.633 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.634 * [backup-simplify]: Simplify 0 into 0
8.655 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
8.655 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.657 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
8.661 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.662 * [backup-simplify]: Simplify 0 into 0
8.694 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
8.695 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.697 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
8.703 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.703 * [backup-simplify]: Simplify 0 into 0
8.703 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.703 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
8.703 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
8.703 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.704 * [taylor]: Taking taylor expansion of 1/3 in N
8.704 * [backup-simplify]: Simplify 1/3 into 1/3
8.704 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.704 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.704 * [taylor]: Taking taylor expansion of N in N
8.704 * [backup-simplify]: Simplify 0 into 0
8.704 * [backup-simplify]: Simplify 1 into 1
8.704 * [backup-simplify]: Simplify (/ 1 1) into 1
8.705 * [backup-simplify]: Simplify (log 1) into 0
8.705 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.705 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.705 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.705 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.705 * [taylor]: Taking taylor expansion of 1/3 in N
8.705 * [backup-simplify]: Simplify 1/3 into 1/3
8.705 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.705 * [taylor]: Taking taylor expansion of N in N
8.705 * [backup-simplify]: Simplify 0 into 0
8.705 * [backup-simplify]: Simplify 1 into 1
8.706 * [backup-simplify]: Simplify (/ 1 1) into 1
8.706 * [backup-simplify]: Simplify (log 1) into 0
8.707 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.707 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.707 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.707 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
8.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.709 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.710 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.711 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.711 * [backup-simplify]: Simplify 0 into 0
8.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.715 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.716 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.717 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.717 * [backup-simplify]: Simplify 0 into 0
8.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.724 * [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
8.724 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.725 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.727 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.727 * [backup-simplify]: Simplify 0 into 0
8.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.739 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
8.740 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.741 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.744 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.744 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.764 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
8.765 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.767 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.771 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.772 * [backup-simplify]: Simplify 0 into 0
8.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.804 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
8.805 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.806 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.810 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.810 * [backup-simplify]: Simplify 0 into 0
8.810 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
8.810 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3))
8.810 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0
8.810 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
8.810 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.810 * [taylor]: Taking taylor expansion of -1 in N
8.810 * [backup-simplify]: Simplify -1 into -1
8.811 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.811 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.811 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.811 * [taylor]: Taking taylor expansion of 1/3 in N
8.811 * [backup-simplify]: Simplify 1/3 into 1/3
8.811 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.811 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.811 * [taylor]: Taking taylor expansion of N in N
8.811 * [backup-simplify]: Simplify 0 into 0
8.811 * [backup-simplify]: Simplify 1 into 1
8.812 * [backup-simplify]: Simplify (/ 1 1) into 1
8.812 * [backup-simplify]: Simplify (log 1) into 0
8.812 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.812 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.812 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.812 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
8.812 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.812 * [taylor]: Taking taylor expansion of -1 in N
8.812 * [backup-simplify]: Simplify -1 into -1
8.813 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.813 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.813 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.813 * [taylor]: Taking taylor expansion of 1/3 in N
8.813 * [backup-simplify]: Simplify 1/3 into 1/3
8.813 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.813 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.813 * [taylor]: Taking taylor expansion of N in N
8.813 * [backup-simplify]: Simplify 0 into 0
8.813 * [backup-simplify]: Simplify 1 into 1
8.814 * [backup-simplify]: Simplify (/ 1 1) into 1
8.814 * [backup-simplify]: Simplify (log 1) into 0
8.814 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.814 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.814 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.815 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3))
8.815 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3))
8.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.817 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.817 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.818 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.818 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0
8.818 * [backup-simplify]: Simplify 0 into 0
8.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.820 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.820 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.821 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.822 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.824 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0
8.824 * [backup-simplify]: Simplify 0 into 0
8.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.830 * [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
8.831 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.832 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.834 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.837 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0
8.837 * [backup-simplify]: Simplify 0 into 0
8.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.850 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
8.851 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.852 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.855 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.857 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0
8.857 * [backup-simplify]: Simplify 0 into 0
8.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.868 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
8.868 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.872 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.874 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0
8.874 * [backup-simplify]: Simplify 0 into 0
8.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.892 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
8.892 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.900 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.904 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.906 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0
8.907 * [backup-simplify]: Simplify 0 into 0
8.907 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1))
8.907 * * * [progress]: simplifying candidates
8.908 * [simplify]: Simplifying:
  (expm1 (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (log1p (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (* (- (/ 0.5 N)) (/ 1 N))
  (log (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (exp (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (* (cbrt (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))) (cbrt (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))
  (cbrt (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (* (* (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (sqrt (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (sqrt (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))))
  (expm1 (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (log1p (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (log (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (exp (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))))
  (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (* (* (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))) (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))) 3))
  (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) (* (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))))
  (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))))
  (- (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))))
  (+ (/ 0.3333333333333333 (pow N 3)) (* (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (cbrt N))))
  (expm1 (cbrt N))
  (log1p (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  (cbrt 1)
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  (* (* (cbrt N) (cbrt N)) (cbrt N))
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  (expm1 (cbrt N))
  (log1p (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  (cbrt 1)
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  (* (* (cbrt N) (cbrt N)) (cbrt N))
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  0
  0
  0
  (- (+ (/ (pow (sqrt 1.0) 2) N) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ (pow (sqrt 1.0) 2) N)) (* 0.5 (/ 1 (pow N 2))))
  (- (* (pow (/ -1 N) 1/3) (/ (* (exp (* 1/3 (+ (log (/ -1 N)) (log +nan.0)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2))) (+ (* 0.5 (/ 1 (pow N 2))) (- (+ (* +nan.0 (* (pow (/ -1 (pow N 4)) 1/3) (/ (* (exp (* 1/3 (+ (log (/ -1 N)) (log +nan.0)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)))) (- (* +nan.0 (* (pow (/ -1 (pow N 7)) 1/3) (/ (* (exp (* 1/3 (+ (log (/ -1 N)) (log +nan.0)))) (pow (sqrt 1.0) 2)) (pow (cbrt -1) 2)))))))))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* -1 N) 1/3) (cbrt -1))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* -1 N) 1/3) (cbrt -1))
8.910 * * [simplify]: Extracting # 0 : cost  0
8.910 * * [simplify]: Extracting # 1 : cost  0
8.910 * * [simplify]: Extracting # 2 : cost  0
8.910 * * [simplify]: Extracting # 3 : cost  0
8.911 * * [simplify]: Extracting # 4 : cost  0
8.911 * * [simplify]: Extracting # 5 : cost  0
8.911 * * [simplify]: Extracting # 6 : cost  0
8.911 * * [simplify]: Extracting # 7 : cost  0
8.911 * * [simplify]: Extracting # 8 : cost  0
8.911 * * [simplify]: Extracting # 9 : cost  0
8.911 * * [simplify]: Extracting # 10 : cost  0
8.912 * * [simplify]: Extracting # 11 : cost  0
8.912 * * [simplify]: Extracting # 12 : cost  0
8.912 * * [simplify]: Extracting # 13 : cost  0
8.912 * * [simplify]: Extracting # 14 : cost  0
8.912 * * [simplify]: Extracting # 15 : cost  0
8.912 * * [simplify]: Extracting # 16 : cost  0
8.913 * * [simplify]: iteration  0 :  121  enodes  (cost  1184 )
8.939 * * [simplify]: Extracting # 0 : cost  0
8.940 * * [simplify]: Extracting # 1 : cost  0
8.940 * * [simplify]: Extracting # 2 : cost  0
8.941 * * [simplify]: Extracting # 3 : cost  0
8.941 * * [simplify]: Extracting # 4 : cost  0
8.941 * * [simplify]: iteration  1 :  311  enodes  (cost  1141 )
9.095 * * [simplify]: Extracting # 0 : cost  0
9.098 * * [simplify]: Extracting # 1 : cost  0
9.101 * * [simplify]: Extracting # 2 : cost  0
9.104 * * [simplify]: Extracting # 3 : cost  0
9.108 * * [simplify]: Extracting # 4 : cost  0
9.111 * * [simplify]: Extracting # 5 : cost  0
9.115 * * [simplify]: iteration  2 :  1340  enodes  (cost  888 )
9.717 * * [simplify]: Extracting # 0 : cost  0
9.724 * * [simplify]: Extracting # 1 : cost  0
9.732 * * [simplify]: Extracting # 2 : cost  0
9.740 * * [simplify]: Extracting # 3 : cost  0
9.754 * * [simplify]: Extracting # 4 : cost  0
9.769 * * [simplify]: iteration done:  5000  enodes  (cost  877 )
9.775 * [simplify]: Simplified to:
  (expm1 (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)))
  (log1p (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)))
  (- (/ (/ 0.5 N) N))
  (log (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)))
  (exp (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)))
  (* (cbrt (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))) (cbrt (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))))
  (cbrt (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)))
  (pow (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) 3)
  (sqrt (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)))
  (sqrt (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)))
  (expm1 (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N))))
  (log1p (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N))))
  (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N))))
  (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N))))
  (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N))))
  (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N)))))
  (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N))))
  (pow (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N))) 3)
  (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N))))
  (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N))))
  (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N)) 3))
  (fma (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N)) (- (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N)) (/ 0.3333333333333333 (pow N 3))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))))
  (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N))))
  (- (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N)))
  (+ (/ 0.3333333333333333 (pow N 3)) (- (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)) (/ (/ 0.5 N) N)))
  (+ (/ 0.3333333333333333 (pow N 3)) (/ (/ 1.0 (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (cbrt N)))
  (expm1 (cbrt N))
  (log1p (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (pow N 2/3))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  (expm1 (cbrt N))
  (log1p (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (pow N 2/3))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  0
  0
  0
  (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))
  (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))
  (- (fma (/ (* (cbrt (/ -1 N)) (pow +nan.0 1/3)) (/ (pow (cbrt -1) 2) 1.0)) (cbrt (/ -1 N)) (* (/ (* (cbrt (/ -1 N)) (pow +nan.0 1/3)) (/ (pow (cbrt -1) 2) 1.0)) (- (* +nan.0 (cbrt (/ -1 (pow N 4)))) (* +nan.0 (cbrt (/ -1 (pow N 7))))))) (/ (/ 0.5 N) N))
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt -1) (cbrt (- N)))
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt -1) (cbrt (- N)))
9.776 * * * [progress]: adding candidates to table
10.611 * [progress]: [Phase 3 of 3] Extracting.
10.611 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (/ (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5)))) (pow N 6)))> #<alt (λ (N) (log (/ (+ N 1.0) N)))> #<alt (λ (N) (* (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N)))))> #<alt (λ (N) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))> #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))> #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))>)
10.616 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N)
10.616 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (#<alt (λ (N) (/ (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5)))) (pow N 6)))> #<alt (λ (N) (log (/ (+ N 1.0) N)))> #<alt (λ (N) (* (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N)))))> #<alt (λ (N) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))> #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))> #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))>)
10.652 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (/ (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5)))) (pow N 6)))> #<alt (λ (N) (log (/ (+ N 1.0) N)))> #<alt (λ (N) (* (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N)))))> #<alt (λ (N) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))> #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))> #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))>)
10.693 * * * [regime]: Found split indices: #<option (#s(si 3 136) #s(si 1 255))>
10.694 * [binary-search]: Only using regimes for bounds on (- (log (+ N 1.0)) (log N)) and (#<alt (λ (N) (/ (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5)))) (pow N 6)))> #<alt (λ (N) (log (/ (+ N 1.0) N)))> #<alt (λ (N) (* (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N)))))> #<alt (λ (N) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))> #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))> #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))>)
10.694 * [regimes]: Found splitpoints: (#s(sp 3 (- (log (+ N 1.0)) (log N)) 2.270642590573857e-05) #s(sp 1 (- (log (+ N 1.0)) (log N)) +nan.0)) , with alts (#<alt (λ (N) (/ (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5)))) (pow N 6)))> #<alt (λ (N) (log (/ (+ N 1.0) N)))> #<alt (λ (N) (* (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N)))))> #<alt (λ (N) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))> #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))> #<alt (λ (N) (+ (+ (/ 0.3333333333333333 (pow N 3)) (fma (/ (sqrt 1.0) (* (cbrt N) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (sqrt 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (- (/ (/ 0.5 N) N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N)))))>)
10.695 * [simplify]: Simplifying:
  (if (<= (- (log (+ N 1.0)) (log N)) 2.270642590573857e-05) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (log (/ (+ N 1.0) N)))
10.695 * * [simplify]: Extracting # 0 : cost  0
10.695 * * [simplify]: Extracting # 1 : cost  0
10.695 * * [simplify]: Extracting # 2 : cost  0
10.695 * * [simplify]: Extracting # 3 : cost  0
10.695 * * [simplify]: Extracting # 4 : cost  0
10.695 * * [simplify]: Extracting # 5 : cost  0
10.695 * * [simplify]: Extracting # 6 : cost  0
10.695 * * [simplify]: Extracting # 7 : cost  0
10.695 * * [simplify]: iteration  0 :  21  enodes  (cost  31 )
10.696 * * [simplify]: Extracting # 0 : cost  0
10.696 * * [simplify]: iteration  1 :  23  enodes  (cost  31 )
10.697 * * [simplify]: Extracting # 0 : cost  0
10.697 * * [simplify]: iteration done:  23  enodes  (cost  31 )
10.697 * [simplify]: Simplified to:
  (if (<= (- (log (+ N 1.0)) (log N)) 2.270642590573857e-05) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (log (/ (+ N 1.0) N)))
14.245 * [regime-testing]: Baseline error score: 31.40050015771428
14.248 * [regime-testing]: Oracle error score: 0.04827829338430367
14.256 * [regime-testing]: End program error score: 0.05709117452392778