3.784 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.031 * * * [progress]: [2/2] Setting up program.
0.033 * [progress]: [Phase 2 of 3] Improving.
0.034 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (atan (+ N 1.0)) (atan N))
0.036 * * [simplify]: iteration  0 :  9  enodes  (cost  4 )
0.037 * * [simplify]: iteration  1 :  10  enodes  (cost  4 )
0.038 * * [simplify]: iteration  2 :  10  enodes  (cost  4 )
0.038 * [simplify]: Simplified to:
   (- (atan (+ N 1.0)) (atan N))
0.038 * * [progress]: iteration 1 / 4
0.038 * * * [progress]: picking best candidate
0.040 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.040 * * * [progress]: localizing error
0.046 * * * [progress]: generating rewritten candidates
0.046 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.051 * * * [progress]: generating series expansions
0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.051 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.051 * [taylor]: Taking taylor expansion of (atan N) in N
0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.051 * [taylor]: Taking taylor expansion of (atan N) in N
0.054 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.054 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.058 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.058 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.058 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.058 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.058 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.061 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.061 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.062 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.062 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.062 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.062 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.062 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.062 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.062 * * * [progress]: simplifying candidates
0.063 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (+ N 1.0) N)
  (+ 1 (* (+ N 1.0) N))
  (/ (exp (atan (+ N 1.0))) (exp (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N))))
  (neg (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (neg (atan N))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
0.066 * * [simplify]: iteration  0 :  75  enodes  (cost  154 )
0.068 * * [simplify]: iteration  1 :  145  enodes  (cost  145 )
0.071 * * [simplify]: iteration  2 :  289  enodes  (cost  143 )
0.076 * * [simplify]: iteration  3 :  681  enodes  (cost  142 )
0.090 * * [simplify]: iteration  4 :  2447  enodes  (cost  142 )
0.139 * * [simplify]: iteration  5 :  5001  enodes  (cost  142 )
0.140 * [simplify]: Simplified to:
   1.0
  (+ 1 (* (+ N 1.0) N))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (pow (- (atan (+ N 1.0)) (atan N)) 3)
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N))) (* (atan N) (atan N)))
  (- 0 (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- 0 (atan N))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (pow (atan (+ N 1.0)) 3)
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
0.140 * * * [progress]: adding candidates to table
0.180 * * [progress]: iteration 2 / 4
0.180 * * * [progress]: picking best candidate
0.181 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
0.181 * * * [progress]: localizing error
0.187 * * * [progress]: generating rewritten candidates
0.187 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.188 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
0.194 * * * [progress]: generating series expansions
0.194 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.194 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.194 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.195 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.195 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.195 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.195 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.196 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.197 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
0.197 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
0.197 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.197 * [taylor]: Taking taylor expansion of N in N
0.197 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.197 * [taylor]: Taking taylor expansion of N in N
0.197 * [taylor]: Taking taylor expansion of 1.0 in N
0.197 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.197 * [taylor]: Taking taylor expansion of N in N
0.197 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.197 * [taylor]: Taking taylor expansion of N in N
0.197 * [taylor]: Taking taylor expansion of 1.0 in N
0.207 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
0.207 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.207 * [taylor]: Taking taylor expansion of N in N
0.207 * [taylor]: Taking taylor expansion of 1.0 in N
0.207 * [taylor]: Taking taylor expansion of N in N
0.208 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.208 * [taylor]: Taking taylor expansion of N in N
0.208 * [taylor]: Taking taylor expansion of 1.0 in N
0.208 * [taylor]: Taking taylor expansion of N in N
0.218 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
0.218 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.218 * [taylor]: Taking taylor expansion of -1 in N
0.218 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.218 * [taylor]: Taking taylor expansion of 1.0 in N
0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.219 * [taylor]: Taking taylor expansion of N in N
0.219 * [taylor]: Taking taylor expansion of N in N
0.220 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.220 * [taylor]: Taking taylor expansion of -1 in N
0.220 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.220 * [taylor]: Taking taylor expansion of 1.0 in N
0.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.220 * [taylor]: Taking taylor expansion of N in N
0.220 * [taylor]: Taking taylor expansion of N in N
0.239 * * * [progress]: simplifying candidates
0.239 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (+ N 1.0) N)
  (+ (log (+ N 1.0)) (log N))
  (log (* (+ N 1.0) N))
  (exp (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (cbrt (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (+ N 1.0) (sqrt N))
  (* (+ N 1.0) 1)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (- (* N N) (* 1.0 1.0)) N)
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
0.242 * * [simplify]: iteration  0 :  121  enodes  (cost  151 )
0.245 * * [simplify]: iteration  1 :  432  enodes  (cost  127 )
0.256 * * [simplify]: iteration  2 :  2321  enodes  (cost  127 )
0.294 * * [simplify]: iteration  3 :  5002  enodes  (cost  127 )
0.295 * [simplify]: Simplified to:
   (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (+ N 1.0) N)
  (log (* (+ N 1.0) N))
  (log (* (+ N 1.0) N))
  (exp (* (+ N 1.0) N))
  (pow (* (+ N 1.0) N) 3)
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (cbrt (* (+ N 1.0) N))
  (pow (* (+ N 1.0) N) 3)
  (sqrt (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (+ N 1.0) (sqrt N))
  (+ N 1.0)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (- (* N N) (* 1.0 1.0)) N)
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
0.295 * * * [progress]: adding candidates to table
0.343 * * [progress]: iteration 3 / 4
0.343 * * * [progress]: picking best candidate
0.348 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))>
0.348 * * * [progress]: localizing error
0.358 * * * [progress]: generating rewritten candidates
0.358 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
0.359 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1)
0.362 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2)
0.365 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1)
0.369 * * * [progress]: generating series expansions
0.369 * * * * [progress]: [ 1 / 4 ] generating series at (2)
0.369 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.369 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.369 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.370 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.371 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.372 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1)
0.372 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0
0.372 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
0.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
0.372 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
0.372 * [taylor]: Taking taylor expansion of 1/3 in N
0.372 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.372 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.372 * [taylor]: Taking taylor expansion of N in N
0.372 * [taylor]: Taking taylor expansion of 1.0 in N
0.377 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
0.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
0.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
0.377 * [taylor]: Taking taylor expansion of 1/3 in N
0.377 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.377 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.377 * [taylor]: Taking taylor expansion of N in N
0.377 * [taylor]: Taking taylor expansion of 1.0 in N
0.412 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0
0.412 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
0.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
0.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
0.412 * [taylor]: Taking taylor expansion of 1/3 in N
0.412 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.412 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.412 * [taylor]: Taking taylor expansion of N in N
0.412 * [taylor]: Taking taylor expansion of 1.0 in N
0.413 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
0.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
0.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
0.413 * [taylor]: Taking taylor expansion of 1/3 in N
0.413 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.413 * [taylor]: Taking taylor expansion of N in N
0.413 * [taylor]: Taking taylor expansion of 1.0 in N
0.432 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0
0.432 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
0.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
0.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
0.432 * [taylor]: Taking taylor expansion of 1/3 in N
0.432 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.432 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.432 * [taylor]: Taking taylor expansion of 1.0 in N
0.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.432 * [taylor]: Taking taylor expansion of N in N
0.434 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
0.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
0.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
0.434 * [taylor]: Taking taylor expansion of 1/3 in N
0.434 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.434 * [taylor]: Taking taylor expansion of 1.0 in N
0.434 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.434 * [taylor]: Taking taylor expansion of N in N
0.462 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2)
0.462 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0
0.462 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
0.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
0.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
0.462 * [taylor]: Taking taylor expansion of 1/3 in N
0.463 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.463 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.463 * [taylor]: Taking taylor expansion of N in N
0.463 * [taylor]: Taking taylor expansion of 1.0 in N
0.465 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
0.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
0.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
0.465 * [taylor]: Taking taylor expansion of 1/3 in N
0.465 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.465 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.465 * [taylor]: Taking taylor expansion of N in N
0.465 * [taylor]: Taking taylor expansion of 1.0 in N
0.499 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0
0.499 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
0.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
0.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
0.499 * [taylor]: Taking taylor expansion of 1/3 in N
0.499 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.499 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.499 * [taylor]: Taking taylor expansion of N in N
0.499 * [taylor]: Taking taylor expansion of 1.0 in N
0.500 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
0.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
0.500 * [taylor]: Taking taylor expansion of 1/3 in N
0.500 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.500 * [taylor]: Taking taylor expansion of N in N
0.501 * [taylor]: Taking taylor expansion of 1.0 in N
0.519 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0
0.520 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
0.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
0.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
0.520 * [taylor]: Taking taylor expansion of 1/3 in N
0.520 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.520 * [taylor]: Taking taylor expansion of 1.0 in N
0.520 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.520 * [taylor]: Taking taylor expansion of N in N
0.522 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
0.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
0.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
0.522 * [taylor]: Taking taylor expansion of 1/3 in N
0.522 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.522 * [taylor]: Taking taylor expansion of 1.0 in N
0.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.522 * [taylor]: Taking taylor expansion of N in N
0.550 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1)
0.550 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0
0.550 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
0.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
0.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
0.550 * [taylor]: Taking taylor expansion of 1/3 in N
0.550 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.550 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.550 * [taylor]: Taking taylor expansion of N in N
0.550 * [taylor]: Taking taylor expansion of 1.0 in N
0.552 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
0.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
0.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
0.552 * [taylor]: Taking taylor expansion of 1/3 in N
0.552 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.552 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.552 * [taylor]: Taking taylor expansion of N in N
0.552 * [taylor]: Taking taylor expansion of 1.0 in N
0.586 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0
0.586 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
0.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
0.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
0.586 * [taylor]: Taking taylor expansion of 1/3 in N
0.586 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.586 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.586 * [taylor]: Taking taylor expansion of N in N
0.587 * [taylor]: Taking taylor expansion of 1.0 in N
0.588 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
0.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
0.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
0.588 * [taylor]: Taking taylor expansion of 1/3 in N
0.588 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.588 * [taylor]: Taking taylor expansion of N in N
0.588 * [taylor]: Taking taylor expansion of 1.0 in N
0.606 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0
0.606 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
0.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
0.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
0.607 * [taylor]: Taking taylor expansion of 1/3 in N
0.607 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.607 * [taylor]: Taking taylor expansion of 1.0 in N
0.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.607 * [taylor]: Taking taylor expansion of N in N
0.609 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
0.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
0.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
0.609 * [taylor]: Taking taylor expansion of 1/3 in N
0.609 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.609 * [taylor]: Taking taylor expansion of 1.0 in N
0.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.609 * [taylor]: Taking taylor expansion of N in N
0.637 * * * [progress]: simplifying candidates
0.638 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (log (cbrt (+ N 1.0)))
  (exp (cbrt (+ N 1.0)))
  (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt (+ (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (log (cbrt (+ N 1.0)))
  (exp (cbrt (+ N 1.0)))
  (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt (+ (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (log (cbrt (+ N 1.0)))
  (exp (cbrt (+ N 1.0)))
  (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt (+ (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
  (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
  (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
  (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
  (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
  (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
  (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
  (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
  (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
0.643 * * [simplify]: iteration  0 :  198  enodes  (cost  498 )
0.646 * * [simplify]: iteration  1 :  513  enodes  (cost  454 )
0.655 * * [simplify]: iteration  2 :  1623  enodes  (cost  445 )
0.689 * * [simplify]: iteration  3 :  5001  enodes  (cost  430 )
0.692 * [simplify]: Simplified to:
   (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3)
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (log (cbrt (+ N 1.0)))
  (exp (cbrt (+ N 1.0)))
  (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt (+ (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (+ N 1.0)
  (sqrt (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (log (cbrt (+ N 1.0)))
  (exp (cbrt (+ N 1.0)))
  (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt (+ (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (+ N 1.0)
  (sqrt (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (log (cbrt (+ N 1.0)))
  (exp (cbrt (+ N 1.0)))
  (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt (+ (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (+ N 1.0)
  (sqrt (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3)))
  (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
  (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))))
  (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3)))
  (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
  (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))))
  (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3)))
  (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
  (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))))
0.693 * * * [progress]: adding candidates to table
0.846 * * [progress]: iteration 4 / 4
0.846 * * * [progress]: picking best candidate
0.855 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))>
0.856 * * * [progress]: localizing error
0.873 * * * [progress]: generating rewritten candidates
0.873 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1)
0.877 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
0.877 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2)
0.881 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2)
0.887 * * * [progress]: generating series expansions
0.887 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1)
0.887 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in (N) around 0
0.887 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N
0.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N
0.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N
0.887 * [taylor]: Taking taylor expansion of 1/3 in N
0.887 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N
0.887 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N
0.888 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.888 * [taylor]: Taking taylor expansion of N in N
0.888 * [taylor]: Taking taylor expansion of 1.0 in N
0.891 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N
0.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N
0.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N
0.891 * [taylor]: Taking taylor expansion of 1/3 in N
0.891 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N
0.891 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N
0.891 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.892 * [taylor]: Taking taylor expansion of N in N
0.892 * [taylor]: Taking taylor expansion of 1.0 in N
0.965 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0
0.965 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
0.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
0.965 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
0.965 * [taylor]: Taking taylor expansion of 1/3 in N
0.965 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
0.965 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
0.965 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.965 * [taylor]: Taking taylor expansion of N in N
0.965 * [taylor]: Taking taylor expansion of 1.0 in N
0.966 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
0.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
0.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
0.966 * [taylor]: Taking taylor expansion of 1/3 in N
0.966 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
0.966 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
0.966 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.966 * [taylor]: Taking taylor expansion of N in N
0.967 * [taylor]: Taking taylor expansion of 1.0 in N
1.016 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0
1.016 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
1.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
1.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
1.017 * [taylor]: Taking taylor expansion of 1/3 in N
1.017 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
1.017 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.017 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.017 * [taylor]: Taking taylor expansion of N in N
1.017 * [taylor]: Taking taylor expansion of 1.0 in N
1.018 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
1.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
1.018 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
1.018 * [taylor]: Taking taylor expansion of 1/3 in N
1.018 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
1.018 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.018 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.018 * [taylor]: Taking taylor expansion of N in N
1.019 * [taylor]: Taking taylor expansion of 1.0 in N
1.071 * * * * [progress]: [ 2 / 4 ] generating series at (2)
1.071 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in (N) around 0
1.071 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in N
1.072 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in N
1.073 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in (N) around 0
1.073 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in N
1.074 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in N
1.076 * [approximate]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in (N) around 0
1.076 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in N
1.077 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in N
1.079 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2)
1.079 * [approximate]: Taking taylor expansion of (pow (- N 1.0) 1/3) in (N) around 0
1.079 * [taylor]: Taking taylor expansion of (pow (- N 1.0) 1/3) in N
1.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1.0)))) in N
1.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1.0))) in N
1.079 * [taylor]: Taking taylor expansion of 1/3 in N
1.079 * [taylor]: Taking taylor expansion of (log (- N 1.0)) in N
1.079 * [taylor]: Taking taylor expansion of (- N 1.0) in N
1.079 * [taylor]: Taking taylor expansion of N in N
1.079 * [taylor]: Taking taylor expansion of 1.0 in N
1.083 * [taylor]: Taking taylor expansion of (pow (- N 1.0) 1/3) in N
1.083 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1.0)))) in N
1.083 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1.0))) in N
1.083 * [taylor]: Taking taylor expansion of 1/3 in N
1.083 * [taylor]: Taking taylor expansion of (log (- N 1.0)) in N
1.083 * [taylor]: Taking taylor expansion of (- N 1.0) in N
1.083 * [taylor]: Taking taylor expansion of N in N
1.083 * [taylor]: Taking taylor expansion of 1.0 in N
1.126 * [approximate]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 1/3) in (N) around 0
1.126 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 1/3) in N
1.126 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1.0)))) in N
1.126 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1.0))) in N
1.126 * [taylor]: Taking taylor expansion of 1/3 in N
1.126 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1.0)) in N
1.126 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N
1.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.126 * [taylor]: Taking taylor expansion of N in N
1.127 * [taylor]: Taking taylor expansion of 1.0 in N
1.127 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 1/3) in N
1.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1.0)))) in N
1.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1.0))) in N
1.128 * [taylor]: Taking taylor expansion of 1/3 in N
1.128 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1.0)) in N
1.128 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N
1.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.128 * [taylor]: Taking taylor expansion of N in N
1.128 * [taylor]: Taking taylor expansion of 1.0 in N
1.149 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0
1.149 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1.0) 1/3)) in N
1.149 * [taylor]: Taking taylor expansion of (cbrt -1) in N
1.149 * [taylor]: Taking taylor expansion of -1 in N
1.150 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
1.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
1.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
1.150 * [taylor]: Taking taylor expansion of 1/3 in N
1.150 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.150 * [taylor]: Taking taylor expansion of N in N
1.151 * [taylor]: Taking taylor expansion of 1.0 in N
1.151 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1.0) 1/3)) in N
1.151 * [taylor]: Taking taylor expansion of (cbrt -1) in N
1.151 * [taylor]: Taking taylor expansion of -1 in N
1.152 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
1.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
1.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
1.152 * [taylor]: Taking taylor expansion of 1/3 in N
1.153 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
1.153 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.153 * [taylor]: Taking taylor expansion of N in N
1.153 * [taylor]: Taking taylor expansion of 1.0 in N
1.176 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2)
1.176 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0
1.176 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
1.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
1.176 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
1.176 * [taylor]: Taking taylor expansion of 1/3 in N
1.176 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
1.177 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.177 * [taylor]: Taking taylor expansion of N in N
1.177 * [taylor]: Taking taylor expansion of 1.0 in N
1.179 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
1.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
1.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
1.179 * [taylor]: Taking taylor expansion of 1/3 in N
1.179 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
1.179 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.179 * [taylor]: Taking taylor expansion of N in N
1.179 * [taylor]: Taking taylor expansion of 1.0 in N
1.216 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0
1.216 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
1.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
1.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
1.216 * [taylor]: Taking taylor expansion of 1/3 in N
1.216 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.216 * [taylor]: Taking taylor expansion of N in N
1.216 * [taylor]: Taking taylor expansion of 1.0 in N
1.217 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
1.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
1.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
1.217 * [taylor]: Taking taylor expansion of 1/3 in N
1.217 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.217 * [taylor]: Taking taylor expansion of N in N
1.217 * [taylor]: Taking taylor expansion of 1.0 in N
1.237 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0
1.237 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
1.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
1.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
1.237 * [taylor]: Taking taylor expansion of 1/3 in N
1.237 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
1.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.237 * [taylor]: Taking taylor expansion of 1.0 in N
1.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.237 * [taylor]: Taking taylor expansion of N in N
1.239 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
1.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
1.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
1.239 * [taylor]: Taking taylor expansion of 1/3 in N
1.239 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
1.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.239 * [taylor]: Taking taylor expansion of 1.0 in N
1.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.239 * [taylor]: Taking taylor expansion of N in N
1.263 * * * [progress]: simplifying candidates
1.265 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (cbrt (- (* N N) (* 1.0 1.0))))
  (exp (cbrt (- (* N N) (* 1.0 1.0))))
  (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))))
  (cbrt (cbrt (- (* N N) (* 1.0 1.0))))
  (cbrt (sqrt (- (* N N) (* 1.0 1.0))))
  (cbrt (sqrt (- (* N N) (* 1.0 1.0))))
  (cbrt 1)
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (+ N 1.0))
  (cbrt (- N 1.0))
  (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3)))
  (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))
  (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0))))
  (cbrt (+ (* N N) (* 1.0 1.0)))
  (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))))
  (cbrt (cbrt (- (* N N) (* 1.0 1.0))))
  (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))))
  (sqrt (cbrt (- (* N N) (* 1.0 1.0))))
  (sqrt (cbrt (- (* N N) (* 1.0 1.0))))
  (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))
  (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))
  (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))
  (log (cbrt (- N 1.0)))
  (exp (cbrt (- N 1.0)))
  (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))
  (cbrt (cbrt (- N 1.0)))
  (cbrt (sqrt (- N 1.0)))
  (cbrt (sqrt (- N 1.0)))
  (cbrt 1)
  (cbrt (- N 1.0))
  (cbrt (+ (sqrt N) (sqrt 1.0)))
  (cbrt (- (sqrt N) (sqrt 1.0)))
  (cbrt 1)
  (cbrt (- N 1.0))
  (cbrt (- (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (+ (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (+ N 1.0))
  (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))
  (cbrt (cbrt (- N 1.0)))
  (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (- N 1.0)))
  (sqrt (cbrt (- N 1.0)))
  (sqrt (cbrt (- N 1.0)))
  (log (cbrt (+ N 1.0)))
  (exp (cbrt (+ N 1.0)))
  (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt (+ (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (neg 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3)))))
  (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
  (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
  (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1))
  (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1))
  (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- 1.0 N)) 1/3) (/ N (cbrt -1))) 1))
  (- (+ (pow (neg 1.0) 1/3) (* 0.05555555555555555 (* (pow N 2) (pow -1.0 1/3)))) (+ (* 0.3333333333333333 (* N (pow -1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow -1.0 5)) 1/3)))))
  (- (pow (/ 1 N) -1/3) (+ (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))))
  (- (* (pow (* -1 N) 1/3) (cbrt -1)) (+ (* 0.1111111111111111 (* (pow (/ -1 (pow N 5)) 1/3) (cbrt -1))) (* 0.3333333333333333 (* (pow (/ -1 (pow N 2)) 1/3) (cbrt -1)))))
  (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
  (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
  (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
1.271 * * [simplify]: iteration  0 :  479  enodes  (cost  606 )
1.279 * * [simplify]: iteration  1 :  1458  enodes  (cost  551 )
1.303 * * [simplify]: iteration  2 :  5001  enodes  (cost  537 )
1.307 * [simplify]: Simplified to:
   (log (cbrt (- (* N N) (* 1.0 1.0))))
  (exp (cbrt (- (* N N) (* 1.0 1.0))))
  (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))))
  (cbrt (cbrt (- (* N N) (* 1.0 1.0))))
  (cbrt (sqrt (- (* N N) (* 1.0 1.0))))
  (cbrt (sqrt (- (* N N) (* 1.0 1.0))))
  (cbrt 1)
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (+ N 1.0))
  (cbrt (- N 1.0))
  (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3)))
  (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))
  (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0))))
  (cbrt (+ (* N N) (* 1.0 1.0)))
  (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))))
  (cbrt (cbrt (- (* N N) (* 1.0 1.0))))
  (- (* N N) (* 1.0 1.0))
  (sqrt (cbrt (- (* N N) (* 1.0 1.0))))
  (sqrt (cbrt (- (* N N) (* 1.0 1.0))))
  (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))
  (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))
  (pow (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))) 3)
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))
  (log (cbrt (- N 1.0)))
  (exp (cbrt (- N 1.0)))
  (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))
  (cbrt (cbrt (- N 1.0)))
  (cbrt (sqrt (- N 1.0)))
  (cbrt (sqrt (- N 1.0)))
  (cbrt 1)
  (cbrt (- N 1.0))
  (cbrt (+ (sqrt N) (sqrt 1.0)))
  (cbrt (- (sqrt N) (sqrt 1.0)))
  (cbrt 1)
  (cbrt (- N 1.0))
  (cbrt (- (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (+ (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (+ N 1.0))
  (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))
  (cbrt (cbrt (- N 1.0)))
  (- N 1.0)
  (sqrt (cbrt (- N 1.0)))
  (sqrt (cbrt (- N 1.0)))
  (log (cbrt (+ N 1.0)))
  (exp (cbrt (+ N 1.0)))
  (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt (+ (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (+ N 1.0)
  (sqrt (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (+ (- (* (pow N 4) (- (* (pow -1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow -1.0 5)) 1/3) 1/6))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3)))) (pow (neg 1.0) 1/3))
  (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
  (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
  (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1))
  (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1))
  (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- 1.0 N)) 1/3) (/ N (cbrt -1))) 1))
  (+ (pow (neg 1.0) 1/3) (+ (* (pow -1.0 1/3) (- (* 0.05555555555555555 (pow N 2)) (* 0.3333333333333333 N))) (* (* -1/6 (pow N 2)) (pow (/ 1 (pow -1.0 5)) 1/3))))
  (- (pow (/ 1 N) -1/3) (+ (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))))
  (* (cbrt -1) (- (- (pow (* -1 N) 1/3) (* 0.1111111111111111 (pow (/ -1 (pow N 5)) 1/3))) (* 0.3333333333333333 (pow (/ -1 (pow N 2)) 1/3))))
  (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3)))
  (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
  (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
1.307 * * * [progress]: adding candidates to table
1.516 * [progress]: [Phase 3 of 3] Extracting.
1.516 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))>)
1.519 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N)
1.519 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (#<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))>)
1.542 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))>)
1.562 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
1.563 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
1.563 * * [simplify]: iteration  0 :  12  enodes  (cost  4 )
1.563 * * [simplify]: iteration  1 :  12  enodes  (cost  4 )
1.564 * [simplify]: Simplified to:
   (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
2.563 * [regime-testing]: Baseline error score: 0.3683903701418723
2.564 * [regime-testing]: Oracle error score: 0.34101194783908445
2.565 * [regime-testing]: End program error score: 0.3683903701418723
2.587 * [regime-testing]: Target error score: 0.37014058891921947