10.395 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.031 * * * [progress]: [2/2] Setting up program.
0.034 * [progress]: [Phase 2 of 3] Improving.
0.034 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (atan (+ N 1.0)) (atan N))
0.039 * * [simplify]: iteration  0 :  71  enodes  (cost  7 )
0.039 * * [simplify]: iteration  1 :  71  enodes  (cost  7 )
0.039 * [simplify]: Simplified to:
   (- (atan (+ N 1.0)) (atan N))
0.039 * * [progress]: iteration 1 / 4
0.039 * * * [progress]: picking best candidate
0.042 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.042 * * * [progress]: localizing error
0.048 * * * [progress]: generating rewritten candidates
0.048 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.052 * * * [progress]: generating series expansions
0.053 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.053 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.053 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.054 * [taylor]: Taking taylor expansion of (atan N) in N
0.054 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.054 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.054 * [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
0.054 * [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
0.055 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.056 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.056 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.056 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.056 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.057 * * * [progress]: simplifying candidates
0.057 * [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))
  (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))
0.122 * * [simplify]: iteration  0 :  5349  enodes  (cost  236 )
0.123 * [simplify]: Simplified to:
   1.0
  (+ 1 (* N (+ N 1.0)))
  (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) (atan N)) (* (atan (+ N 1.0)) (+ (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))
  (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))
0.123 * * * [progress]: adding candidates to table
0.160 * * [progress]: iteration 2 / 4
0.160 * * * [progress]: picking best candidate
0.162 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))>
0.162 * * * [progress]: localizing error
0.168 * * * [progress]: generating rewritten candidates
0.168 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.169 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
0.175 * * * [progress]: generating series expansions
0.175 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.175 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.175 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.176 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.176 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.176 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.176 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.177 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.177 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.177 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.178 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
0.178 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
0.178 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.178 * [taylor]: Taking taylor expansion of N in N
0.178 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.178 * [taylor]: Taking taylor expansion of N in N
0.178 * [taylor]: Taking taylor expansion of 1.0 in N
0.178 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.178 * [taylor]: Taking taylor expansion of N in N
0.178 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.178 * [taylor]: Taking taylor expansion of N in N
0.178 * [taylor]: Taking taylor expansion of 1.0 in N
0.178 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
0.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.179 * [taylor]: Taking taylor expansion of N in N
0.179 * [taylor]: Taking taylor expansion of 1.0 in N
0.179 * [taylor]: Taking taylor expansion of N in N
0.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.179 * [taylor]: Taking taylor expansion of N in N
0.179 * [taylor]: Taking taylor expansion of 1.0 in N
0.179 * [taylor]: Taking taylor expansion of N in N
0.180 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
0.180 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.180 * [taylor]: Taking taylor expansion of -1 in N
0.180 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.180 * [taylor]: Taking taylor expansion of 1.0 in N
0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.180 * [taylor]: Taking taylor expansion of N in N
0.180 * [taylor]: Taking taylor expansion of N in N
0.180 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.180 * [taylor]: Taking taylor expansion of -1 in N
0.180 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.180 * [taylor]: Taking taylor expansion of 1.0 in N
0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.180 * [taylor]: Taking taylor expansion of N in N
0.180 * [taylor]: Taking taylor expansion of N in N
0.182 * * * [progress]: simplifying candidates
0.182 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (exp (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))))
  (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (* N (+ N 1.0))
  (+ (log N) (log (+ N 1.0)))
  (log (* N (+ N 1.0)))
  (exp (* N (+ N 1.0)))
  (* (* (* N N) N) (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)))
  (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))
  (cbrt (* N (+ N 1.0)))
  (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0)))
  (sqrt (* N (+ N 1.0)))
  (sqrt (* N (+ N 1.0)))
  (* (sqrt N) (sqrt (+ N 1.0)))
  (* (sqrt N) (sqrt (+ N 1.0)))
  (* N N)
  (* N 1.0)
  (* N N)
  (* 1.0 N)
  (* N (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (* N (sqrt (+ N 1.0)))
  (* N 1)
  (* N 1)
  (* (cbrt N) (+ N 1.0))
  (* (sqrt N) (+ N 1.0))
  (* N (+ N 1.0))
  (* N (+ (pow N 3) (pow 1.0 3)))
  (* N (- (* N N) (* 1.0 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) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
0.239 * * [simplify]: iteration  0 :  4907  enodes  (cost  272 )
0.239 * * [simplify]: iteration  1 :  4907  enodes  (cost  272 )
0.241 * [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)))
  (pow (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) (sqrt (+ 1.0 N)))
  (* (sqrt N) (sqrt (+ 1.0 N)))
  (* N N)
  (* 1.0 N)
  (* N N)
  (* 1.0 N)
  (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))
  (* N (sqrt (+ 1.0 N)))
  N
  N
  (* (+ 1.0 N) (cbrt N))
  (* (+ 1.0 N) (sqrt N))
  (* N (+ 1.0 N))
  (+ (pow N 4) (* N (pow 1.0 3)))
  (- (pow N 3) (* 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))
0.241 * * * [progress]: adding candidates to table
0.292 * * [progress]: iteration 3 / 4
0.292 * * * [progress]: picking best candidate
0.298 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))>
0.298 * * * [progress]: localizing error
0.307 * * * [progress]: generating rewritten candidates
0.307 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.308 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.309 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
0.310 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
0.311 * * * [progress]: generating series expansions
0.311 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.311 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.311 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.311 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.312 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.312 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.313 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.313 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.313 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.314 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.314 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.315 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.315 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.315 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.316 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.316 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.318 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.318 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.318 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.318 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.318 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.319 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.320 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.320 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.320 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.320 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.322 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.322 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.322 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.322 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.322 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.324 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
0.324 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.324 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.324 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.324 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.324 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.325 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.325 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.325 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.325 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.326 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
0.326 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.326 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.326 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.327 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.327 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.327 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.327 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.327 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.327 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.328 * * * [progress]: simplifying candidates
0.329 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (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)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (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)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (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)))))
  (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)))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (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)))
  (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)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.381 * * [simplify]: iteration  0 :  4899  enodes  (cost  570 )
0.381 * * [simplify]: iteration  1 :  4899  enodes  (cost  570 )
0.384 * [simplify]: Simplified to:
   (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  1
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  1
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (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)))))
  (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)))))
  (sqrt (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)))))
  (sqrt (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)))))
  (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))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
0.384 * * * [progress]: adding candidates to table
0.477 * * [progress]: iteration 4 / 4
0.477 * * * [progress]: picking best candidate
0.488 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))))>
0.488 * * * [progress]: localizing error
0.500 * * * [progress]: generating rewritten candidates
0.500 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
0.502 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
0.503 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
0.504 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1)
0.507 * * * [progress]: generating series expansions
0.507 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
0.507 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.507 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.507 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.508 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.508 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.509 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.509 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.509 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.510 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.510 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.511 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.511 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.511 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.512 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.512 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.513 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
0.514 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.514 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.514 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.514 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.514 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.515 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.515 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.515 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.516 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.516 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.518 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.518 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.518 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.518 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.518 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.520 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
0.520 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.520 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.520 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.520 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.520 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.522 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.522 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.522 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.522 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.522 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.524 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.524 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.524 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.524 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.524 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.526 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1)
0.526 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.526 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.526 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.527 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.527 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.527 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.527 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.527 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.527 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.528 * * * [progress]: simplifying candidates
0.529 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (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)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (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)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (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)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (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)))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (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)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.584 * * [simplify]: iteration  0 :  4899  enodes  (cost  637 )
0.584 * * [simplify]: iteration  1 :  4899  enodes  (cost  637 )
0.587 * [simplify]: Simplified to:
   (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  1
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  1
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  1
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (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)))))
  (sqrt (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)))))
  (sqrt (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)))))
  (sqrt (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)))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
0.587 * * * [progress]: adding candidates to table
0.727 * [progress]: [Phase 3 of 3] Extracting.
0.727 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))))> #<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) (* 1.0 (* 1.0 N))) (- N 1.0)))))>)
0.728 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N)
0.728 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))))> #<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) (* 1.0 (* 1.0 N))) (- N 1.0)))))>)
0.776 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))))> #<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) (* 1.0 (* 1.0 N))) (- N 1.0)))))>)
0.819 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
0.819 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (atan2 1.0 (+ 1 (* N (+ N 1.0))))
0.820 * * [simplify]: iteration  0 :  11  enodes  (cost  9 )
0.820 * * [simplify]: iteration  1 :  11  enodes  (cost  9 )
0.820 * [simplify]: Simplified to:
   (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
2.348 * [regime-testing]: End program error score: 0.3344851782975792
2.419 * [regime-testing]: Target error score: 0.3372355220905533