12.917 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.029 * * * [progress]: [2/2] Setting up program.
0.031 * [progress]: [Phase 2 of 3] Improving.
0.031 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (atan (+ N 1.0)) (atan N))
0.034 * * [simplify]: iteration  0 :  9  enodes  (cost  4 )
0.035 * * [simplify]: iteration  1 :  10  enodes  (cost  4 )
0.036 * * [simplify]: iteration  2 :  10  enodes  (cost  4 )
0.036 * [simplify]: Simplified to:
   (- (atan (+ N 1.0)) (atan N))
0.037 * * [progress]: iteration 1 / 4
0.037 * * * [progress]: picking best candidate
0.038 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.038 * * * [progress]: localizing error
0.044 * * * [progress]: generating rewritten candidates
0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.049 * * * [progress]: generating series expansions
0.049 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.049 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.049 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.050 * [taylor]: Taking taylor expansion of (atan N) in N
0.050 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.050 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.050 * [taylor]: Taking taylor expansion of (atan N) in N
0.053 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.053 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.053 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.053 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
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
0.054 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.057 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.057 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.057 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.060 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.060 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.060 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.060 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.060 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.060 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.061 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.061 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.061 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.061 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.061 * * * [progress]: simplifying candidates
0.062 * [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))
0.065 * * [simplify]: iteration  0 :  75  enodes  (cost  154 )
0.067 * * [simplify]: iteration  1 :  145  enodes  (cost  145 )
0.070 * * [simplify]: iteration  2 :  289  enodes  (cost  143 )
0.074 * * [simplify]: iteration  3 :  681  enodes  (cost  142 )
0.087 * * [simplify]: iteration  4 :  2447  enodes  (cost  142 )
0.135 * * [simplify]: iteration  5 :  5001  enodes  (cost  142 )
0.136 * [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))
0.136 * * * [progress]: adding candidates to table
0.176 * * [progress]: iteration 2 / 4
0.176 * * * [progress]: picking best candidate
0.178 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
0.178 * * * [progress]: localizing error
0.183 * * * [progress]: generating rewritten candidates
0.183 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.184 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
0.191 * * * [progress]: generating series expansions
0.191 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.191 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.192 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.192 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.193 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.193 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
0.193 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
0.193 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.193 * [taylor]: Taking taylor expansion of N in N
0.193 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.193 * [taylor]: Taking taylor expansion of N in N
0.193 * [taylor]: Taking taylor expansion of 1.0 in N
0.193 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.193 * [taylor]: Taking taylor expansion of N in N
0.193 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.193 * [taylor]: Taking taylor expansion of N in N
0.193 * [taylor]: Taking taylor expansion of 1.0 in N
0.202 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
0.202 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.202 * [taylor]: Taking taylor expansion of N in N
0.203 * [taylor]: Taking taylor expansion of 1.0 in N
0.203 * [taylor]: Taking taylor expansion of N in N
0.203 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.203 * [taylor]: Taking taylor expansion of N in N
0.203 * [taylor]: Taking taylor expansion of 1.0 in N
0.204 * [taylor]: Taking taylor expansion of N in N
0.213 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
0.214 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.214 * [taylor]: Taking taylor expansion of -1 in N
0.214 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.214 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.214 * [taylor]: Taking taylor expansion of 1.0 in N
0.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.214 * [taylor]: Taking taylor expansion of N in N
0.214 * [taylor]: Taking taylor expansion of N in N
0.215 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.215 * [taylor]: Taking taylor expansion of -1 in N
0.215 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.215 * [taylor]: Taking taylor expansion of 1.0 in N
0.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.215 * [taylor]: Taking taylor expansion of N in N
0.215 * [taylor]: Taking taylor expansion of N in N
0.233 * * * [progress]: simplifying candidates
0.233 * [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))
0.239 * * [simplify]: iteration  0 :  121  enodes  (cost  151 )
0.242 * * [simplify]: iteration  1 :  432  enodes  (cost  127 )
0.251 * * [simplify]: iteration  2 :  2321  enodes  (cost  127 )
0.289 * * [simplify]: iteration  3 :  5002  enodes  (cost  127 )
0.290 * [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)
0.291 * * * [progress]: adding candidates to table
0.334 * * [progress]: iteration 3 / 4
0.334 * * * [progress]: picking best candidate
0.343 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))>
0.343 * * * [progress]: localizing error
0.355 * * * [progress]: generating rewritten candidates
0.355 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
0.356 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2)
0.358 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2)
0.360 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1)
0.363 * * * [progress]: generating series expansions
0.363 * * * * [progress]: [ 1 / 4 ] generating series at (2)
0.363 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.363 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.363 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.365 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.365 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.365 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.367 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0
0.367 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N
0.369 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N
0.371 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2)
0.371 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
0.372 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
0.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
0.372 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
0.372 * [taylor]: Taking taylor expansion of 1/3 in N
0.372 * [taylor]: Taking taylor expansion of (log N) in N
0.372 * [taylor]: Taking taylor expansion of N in N
0.372 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
0.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
0.372 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
0.372 * [taylor]: Taking taylor expansion of 1/3 in N
0.372 * [taylor]: Taking taylor expansion of (log N) in N
0.372 * [taylor]: Taking taylor expansion of N in N
0.418 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
0.418 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.418 * [taylor]: Taking taylor expansion of 1/3 in N
0.418 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.419 * [taylor]: Taking taylor expansion of N in N
0.419 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.419 * [taylor]: Taking taylor expansion of 1/3 in N
0.419 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.419 * [taylor]: Taking taylor expansion of N in N
0.471 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0
0.471 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
0.472 * [taylor]: Taking taylor expansion of (cbrt -1) in N
0.472 * [taylor]: Taking taylor expansion of -1 in N
0.472 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.472 * [taylor]: Taking taylor expansion of 1/3 in N
0.472 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.472 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.472 * [taylor]: Taking taylor expansion of N in N
0.473 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
0.473 * [taylor]: Taking taylor expansion of (cbrt -1) in N
0.473 * [taylor]: Taking taylor expansion of -1 in N
0.474 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.474 * [taylor]: Taking taylor expansion of 1/3 in N
0.474 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.474 * [taylor]: Taking taylor expansion of N in N
0.536 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2)
0.536 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
0.536 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
0.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
0.536 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
0.536 * [taylor]: Taking taylor expansion of 1/3 in N
0.536 * [taylor]: Taking taylor expansion of (log N) in N
0.536 * [taylor]: Taking taylor expansion of N in N
0.537 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
0.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
0.537 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
0.537 * [taylor]: Taking taylor expansion of 1/3 in N
0.537 * [taylor]: Taking taylor expansion of (log N) in N
0.537 * [taylor]: Taking taylor expansion of N in N
0.585 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
0.586 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.586 * [taylor]: Taking taylor expansion of 1/3 in N
0.586 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.586 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.586 * [taylor]: Taking taylor expansion of N in N
0.586 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.587 * [taylor]: Taking taylor expansion of 1/3 in N
0.587 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.587 * [taylor]: Taking taylor expansion of N in N
0.638 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0
0.638 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
0.638 * [taylor]: Taking taylor expansion of (cbrt -1) in N
0.638 * [taylor]: Taking taylor expansion of -1 in N
0.639 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.639 * [taylor]: Taking taylor expansion of 1/3 in N
0.639 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.639 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.639 * [taylor]: Taking taylor expansion of N in N
0.640 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
0.640 * [taylor]: Taking taylor expansion of (cbrt -1) in N
0.640 * [taylor]: Taking taylor expansion of -1 in N
0.640 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.640 * [taylor]: Taking taylor expansion of 1/3 in N
0.640 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.640 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.640 * [taylor]: Taking taylor expansion of N in N
0.699 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1)
0.700 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
0.700 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
0.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
0.700 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
0.700 * [taylor]: Taking taylor expansion of 1/3 in N
0.700 * [taylor]: Taking taylor expansion of (log N) in N
0.700 * [taylor]: Taking taylor expansion of N in N
0.700 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
0.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
0.700 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
0.700 * [taylor]: Taking taylor expansion of 1/3 in N
0.700 * [taylor]: Taking taylor expansion of (log N) in N
0.700 * [taylor]: Taking taylor expansion of N in N
0.749 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
0.749 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.749 * [taylor]: Taking taylor expansion of 1/3 in N
0.749 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.749 * [taylor]: Taking taylor expansion of N in N
0.750 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.750 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.750 * [taylor]: Taking taylor expansion of 1/3 in N
0.750 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.750 * [taylor]: Taking taylor expansion of N in N
0.802 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0
0.802 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
0.802 * [taylor]: Taking taylor expansion of (cbrt -1) in N
0.802 * [taylor]: Taking taylor expansion of -1 in N
0.802 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.802 * [taylor]: Taking taylor expansion of 1/3 in N
0.802 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.802 * [taylor]: Taking taylor expansion of N in N
0.803 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
0.803 * [taylor]: Taking taylor expansion of (cbrt -1) in N
0.803 * [taylor]: Taking taylor expansion of -1 in N
0.804 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
0.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
0.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
0.804 * [taylor]: Taking taylor expansion of 1/3 in N
0.804 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.804 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.804 * [taylor]: Taking taylor expansion of N in N
0.866 * * * [progress]: simplifying candidates
0.867 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))
  (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))
  (* (* (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (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))
  (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))
  (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))
  (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 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))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* -1 N) 1/3) (cbrt -1))
0.870 * * [simplify]: iteration  0 :  75  enodes  (cost  232 )
0.872 * * [simplify]: iteration  1 :  164  enodes  (cost  204 )
0.876 * * [simplify]: iteration  2 :  533  enodes  (cost  198 )
0.888 * * [simplify]: iteration  3 :  2411  enodes  (cost  194 )
0.950 * * [simplify]: iteration  4 :  5001  enodes  (cost  191 )
0.951 * [simplify]: Simplified to:
   (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))
  (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))
  (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3)
  (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (pow N 1/3)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (pow N 1/3)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (pow N 1/3)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt 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 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))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* -1 N) 1/3) (cbrt -1))
0.951 * * * [progress]: adding candidates to table
1.055 * * [progress]: iteration 4 / 4
1.055 * * * [progress]: picking best candidate
1.067 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))>
1.067 * * * [progress]: localizing error
1.080 * * * [progress]: generating rewritten candidates
1.080 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
1.081 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2 1)
1.082 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 2)
1.083 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 1)
1.085 * * * [progress]: generating series expansions
1.085 * * * * [progress]: [ 1 / 4 ] generating series at (2)
1.085 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
1.086 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.086 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.086 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
1.086 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.087 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.088 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0
1.088 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N
1.090 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N
1.091 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2 1)
1.092 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
1.092 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
1.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
1.092 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
1.092 * [taylor]: Taking taylor expansion of 1/3 in N
1.092 * [taylor]: Taking taylor expansion of (log N) in N
1.092 * [taylor]: Taking taylor expansion of N in N
1.092 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
1.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
1.092 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
1.092 * [taylor]: Taking taylor expansion of 1/3 in N
1.092 * [taylor]: Taking taylor expansion of (log N) in N
1.092 * [taylor]: Taking taylor expansion of N in N
1.143 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
1.143 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.144 * [taylor]: Taking taylor expansion of 1/3 in N
1.144 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.144 * [taylor]: Taking taylor expansion of N in N
1.144 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.144 * [taylor]: Taking taylor expansion of 1/3 in N
1.145 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.145 * [taylor]: Taking taylor expansion of N in N
1.193 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0
1.194 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
1.194 * [taylor]: Taking taylor expansion of (cbrt -1) in N
1.194 * [taylor]: Taking taylor expansion of -1 in N
1.194 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.194 * [taylor]: Taking taylor expansion of 1/3 in N
1.194 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.194 * [taylor]: Taking taylor expansion of N in N
1.195 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
1.195 * [taylor]: Taking taylor expansion of (cbrt -1) in N
1.195 * [taylor]: Taking taylor expansion of -1 in N
1.196 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.196 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.196 * [taylor]: Taking taylor expansion of 1/3 in N
1.196 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.196 * [taylor]: Taking taylor expansion of N in N
1.262 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 2)
1.262 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
1.262 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
1.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
1.262 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
1.262 * [taylor]: Taking taylor expansion of 1/3 in N
1.262 * [taylor]: Taking taylor expansion of (log N) in N
1.262 * [taylor]: Taking taylor expansion of N in N
1.262 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
1.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
1.263 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
1.263 * [taylor]: Taking taylor expansion of 1/3 in N
1.263 * [taylor]: Taking taylor expansion of (log N) in N
1.263 * [taylor]: Taking taylor expansion of N in N
1.314 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
1.314 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.314 * [taylor]: Taking taylor expansion of 1/3 in N
1.314 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.314 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.314 * [taylor]: Taking taylor expansion of N in N
1.315 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.315 * [taylor]: Taking taylor expansion of 1/3 in N
1.315 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.315 * [taylor]: Taking taylor expansion of N in N
1.376 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0
1.376 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
1.376 * [taylor]: Taking taylor expansion of (cbrt -1) in N
1.376 * [taylor]: Taking taylor expansion of -1 in N
1.377 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.377 * [taylor]: Taking taylor expansion of 1/3 in N
1.377 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.377 * [taylor]: Taking taylor expansion of N in N
1.378 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
1.378 * [taylor]: Taking taylor expansion of (cbrt -1) in N
1.378 * [taylor]: Taking taylor expansion of -1 in N
1.378 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.378 * [taylor]: Taking taylor expansion of 1/3 in N
1.378 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.378 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.378 * [taylor]: Taking taylor expansion of N in N
1.443 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 1)
1.443 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
1.443 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
1.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
1.443 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
1.443 * [taylor]: Taking taylor expansion of 1/3 in N
1.443 * [taylor]: Taking taylor expansion of (log N) in N
1.443 * [taylor]: Taking taylor expansion of N in N
1.444 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
1.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
1.444 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
1.444 * [taylor]: Taking taylor expansion of 1/3 in N
1.444 * [taylor]: Taking taylor expansion of (log N) in N
1.444 * [taylor]: Taking taylor expansion of N in N
1.490 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
1.490 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.490 * [taylor]: Taking taylor expansion of 1/3 in N
1.490 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.490 * [taylor]: Taking taylor expansion of N in N
1.491 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.491 * [taylor]: Taking taylor expansion of 1/3 in N
1.491 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.491 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.491 * [taylor]: Taking taylor expansion of N in N
1.546 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0
1.546 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
1.546 * [taylor]: Taking taylor expansion of (cbrt -1) in N
1.546 * [taylor]: Taking taylor expansion of -1 in N
1.547 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.547 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.547 * [taylor]: Taking taylor expansion of 1/3 in N
1.547 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.547 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.547 * [taylor]: Taking taylor expansion of N in N
1.548 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N
1.548 * [taylor]: Taking taylor expansion of (cbrt -1) in N
1.548 * [taylor]: Taking taylor expansion of -1 in N
1.549 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
1.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
1.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
1.549 * [taylor]: Taking taylor expansion of 1/3 in N
1.549 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
1.549 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.549 * [taylor]: Taking taylor expansion of N in N
1.616 * * * [progress]: simplifying candidates
1.617 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))
  (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))
  (* (* (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (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))
  (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))
  (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))
  (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 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))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* -1 N) 1/3) (cbrt -1))
1.620 * * [simplify]: iteration  0 :  80  enodes  (cost  292 )
1.622 * * [simplify]: iteration  1 :  184  enodes  (cost  252 )
1.626 * * [simplify]: iteration  2 :  664  enodes  (cost  246 )
1.642 * * [simplify]: iteration  3 :  3409  enodes  (cost  246 )
1.733 * * [simplify]: iteration  4 :  5001  enodes  (cost  243 )
1.734 * [simplify]: Simplified to:
   (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))
  (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))
  (pow (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))) 3)
  (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (pow N 1/3)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (pow N 1/3)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (pow N 1/3)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt 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 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))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* -1 N) 1/3) (cbrt -1))
1.735 * * * [progress]: adding candidates to table
1.875 * [progress]: [Phase 3 of 3] Extracting.
1.875 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<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) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>)
1.876 * * * [regime-changes]: Trying 1 branch expressions: (N)
1.876 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<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) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>)
1.894 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
1.894 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
1.895 * * [simplify]: iteration  0 :  12  enodes  (cost  4 )
1.895 * * [simplify]: iteration  1 :  12  enodes  (cost  4 )
1.895 * [simplify]: Simplified to:
   (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
2.881 * [regime-testing]: Baseline error score: 0.4132388693897227
2.881 * [regime-testing]: Oracle error score: 0.38135988451661357
2.882 * [regime-testing]: End program error score: 0.4132388693897227
2.906 * [regime-testing]: Target error score: 0.4141871082321682