9.492 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.032 * * * [progress]: [2/2] Setting up program.
0.034 * [progress]: [Phase 2 of 3] Improving.
0.035 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (atan (+ N 1.0)) (atan N))
0.038 * * [simplify]: iteration  0 :  71  enodes  (cost  7 )
0.038 * * [simplify]: iteration  1 :  71  enodes  (cost  7 )
0.039 * [simplify]: Simplified to:
   (- (atan (+ N 1.0)) (atan N))
0.041 * * [progress]: iteration 1 / 4
0.041 * * * [progress]: picking best candidate
0.043 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.043 * * * [progress]: localizing error
0.049 * * * [progress]: generating rewritten candidates
0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.053 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.054 * * * [progress]: generating series expansions
0.054 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.054 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
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
0.055 * [taylor]: Taking taylor expansion of (atan N) in N
0.055 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.055 * [taylor]: Taking taylor expansion of (atan N) in N
0.056 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.056 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.056 * [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
0.057 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.057 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.057 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.057 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.057 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.058 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.058 * * * [progress]: simplifying candidates
0.058 * [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 )
0.124 * [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))
0.124 * * * [progress]: adding candidates to table
0.167 * * [progress]: iteration 2 / 4
0.168 * * * [progress]: picking best candidate
0.170 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))>
0.170 * * * [progress]: localizing error
0.176 * * * [progress]: generating rewritten candidates
0.176 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.177 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
0.183 * * * [progress]: generating series expansions
0.183 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.183 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.183 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.184 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.184 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.184 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.184 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.185 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.185 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.185 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.185 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
0.186 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
0.186 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.186 * [taylor]: Taking taylor expansion of N in N
0.186 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.186 * [taylor]: Taking taylor expansion of N in N
0.186 * [taylor]: Taking taylor expansion of 1.0 in N
0.186 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.186 * [taylor]: Taking taylor expansion of N in N
0.186 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.186 * [taylor]: Taking taylor expansion of N in N
0.186 * [taylor]: Taking taylor expansion of 1.0 in N
0.186 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
0.186 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.187 * [taylor]: Taking taylor expansion of N in N
0.187 * [taylor]: Taking taylor expansion of 1.0 in N
0.187 * [taylor]: Taking taylor expansion of N in N
0.187 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.187 * [taylor]: Taking taylor expansion of N in N
0.187 * [taylor]: Taking taylor expansion of 1.0 in N
0.187 * [taylor]: Taking taylor expansion of N in N
0.188 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
0.188 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.188 * [taylor]: Taking taylor expansion of -1 in N
0.188 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.188 * [taylor]: Taking taylor expansion of 1.0 in N
0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.188 * [taylor]: Taking taylor expansion of N in N
0.188 * [taylor]: Taking taylor expansion of N in N
0.188 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.188 * [taylor]: Taking taylor expansion of -1 in N
0.188 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.188 * [taylor]: Taking taylor expansion of 1.0 in N
0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.188 * [taylor]: Taking taylor expansion of N in N
0.188 * [taylor]: Taking taylor expansion of N in N
0.190 * * * [progress]: simplifying candidates
0.191 * [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))
0.248 * * [simplify]: iteration  0 :  4907  enodes  (cost  272 )
0.249 * * [simplify]: iteration  1 :  4907  enodes  (cost  272 )
0.250 * [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))
0.250 * * * [progress]: adding candidates to table
0.308 * * [progress]: iteration 3 / 4
0.308 * * * [progress]: picking best candidate
0.318 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))>
0.318 * * * [progress]: localizing error
0.326 * * * [progress]: generating rewritten candidates
0.326 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.328 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.329 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.335 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.337 * * * [progress]: generating series expansions
0.337 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.338 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.338 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.338 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.338 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.338 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.339 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.340 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.340 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.340 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.340 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.342 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.342 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.342 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.342 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.342 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.346 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.346 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.346 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.346 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.346 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.346 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.348 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.348 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.348 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.348 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.348 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.350 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.350 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.350 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.351 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.351 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.352 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.352 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.352 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.352 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.353 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.353 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.353 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.354 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.354 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.354 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.354 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.355 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.355 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.355 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.355 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.355 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.355 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.356 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.356 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.356 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.357 * * * [progress]: simplifying candidates
0.358 * [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))))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (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))))))
  (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (log (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (exp (* (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)))))))
  (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (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))))))))
  (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 (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)))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (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)))))) (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 (* (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))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))))
  (* (sqrt (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 (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)))))) (sqrt (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)))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 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)))))))
  (* (sqrt (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)))))) (sqrt (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)))))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 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)))))))
  (* (sqrt (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)))))) (sqrt (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)))))))
  (* (sqrt (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)))))) (sqrt (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)))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (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 (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))))
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1)
  (* (cbrt (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)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (sqrt (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 (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))))))
  (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)))
0.398 * * [simplify]: iteration  0 :  5253  enodes  (cost  989 )
0.402 * [simplify]: Simplified to:
   (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (cbrt (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 (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))))))
  1
  1
  2
  1
  1
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4)
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4)
  2
  (log (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)))))
  (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3)
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3)
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (cbrt (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)))))
  1
  (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)))))
  1
  (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)))))
  1
  2
  1
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 5)
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (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)))))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (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))))
0.402 * * * [progress]: adding candidates to table
0.608 * * [progress]: iteration 4 / 4
0.608 * * * [progress]: picking best candidate
0.618 * * * * [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)))))))))>
0.618 * * * [progress]: localizing error
0.630 * * * [progress]: generating rewritten candidates
0.630 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
0.631 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
0.633 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
0.634 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
0.652 * * * [progress]: generating series expansions
0.652 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
0.652 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.652 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.652 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.653 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.653 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.654 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.654 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.654 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.654 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.654 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.656 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.656 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.656 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.657 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.657 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.658 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
0.658 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.658 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.658 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.659 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.659 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.660 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.660 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.660 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.661 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.661 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.662 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.662 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.662 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.663 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.663 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.664 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
0.665 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.665 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.665 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.665 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.665 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.666 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.666 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.666 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.667 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.667 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.669 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.669 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.669 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.669 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.669 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.671 * * * * [progress]: [ 4 / 4 ] generating series at (2)
0.671 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.671 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.671 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.672 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.672 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.672 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.673 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.673 * * * [progress]: simplifying candidates
0.675 * [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))))))
  (+ 1/2 (+ (/ 1/2 2) (/ 1/2 2)))
  (+ 1/2 (+ (/ 1/2 2) (/ (/ 1 2) 2)))
  (+ 1/2 (+ (/ (/ 1 2) 2) (/ 1/2 2)))
  (+ 1/2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))
  (+ 1/2 (* 2 (/ 1/2 2)))
  (+ 1/2 (* 2 (/ (/ 1 2) 2)))
  (+ 1 (+ 1/2 1/2))
  (+ 1 (+ 1/2 (/ 1 2)))
  (+ 1 (+ (/ 1 2) 1/2))
  (+ 1 (+ (/ 1 2) (/ 1 2)))
  (+ 1 (* 2 1/2))
  (+ 1 (* 2 (/ 1 2)))
  (+ (/ 1 2) (+ (/ 1/2 2) (/ 1/2 2)))
  (+ (/ 1 2) (+ (/ 1/2 2) (/ (/ 1 2) 2)))
  (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ 1/2 2)))
  (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))
  (+ (/ 1 2) (* 2 (/ 1/2 2)))
  (+ (/ 1 2) (* 2 (/ (/ 1 2) 2)))
  (* (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 (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 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))))))))
  (* (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 (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (+ (log (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (log (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))))
  (+ (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (* (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))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))))
  (exp (* (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)))))))))
  (* (* (* (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 (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))))))) (* (* (sqrt (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)))))))))
  (* (* (* (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 (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)))))) (sqrt (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)))))))))
  (* (cbrt (* (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))))))))) (cbrt (* (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))))))))))
  (cbrt (* (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)))))))))
  (* (* (* (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)))))))) (* (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))))))))) (* (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)))))))))
  (* (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 (* (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)))))))))
  (sqrt (* (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)))))))))
  (* (sqrt (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)))))) (sqrt (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)))))))
  (* (sqrt (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)))))) (sqrt (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)))))))
  (* (sqrt (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)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (* (cbrt (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))))))))
  (* (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 (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))))))))
  (* (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))))))))
  (* (sqrt (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))))))))
  (* (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))))))))
  (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)))
0.724 * * [simplify]: iteration  0 :  4775  enodes  (cost  929 )
0.725 * * [simplify]: iteration  1 :  4775  enodes  (cost  929 )
0.728 * [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))))))
  1
  1
  1
  1
  1
  1
  2
  2
  2
  2
  2
  2
  1
  1
  1
  1
  1
  1
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4)
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4)
  (log (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (log (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)))))
  (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3)
  (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3)
  (* (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)
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4)
  (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)))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3/2)
  (* (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 (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3/2)
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3/2)
  (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))))
0.729 * * * [progress]: adding candidates to table
0.997 * [progress]: [Phase 3 of 3] Extracting.
0.997 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (+ (pow N 4) (* N (pow 1.0 3))) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (* (* (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)))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))> #<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)))))))))>)
0.998 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N)
0.998 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (+ (pow N 4) (* N (pow 1.0 3))) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (* (* (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)))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))> #<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)))))))))>)
1.038 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (+ (pow N 4) (* N (pow 1.0 3))) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (* (* (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)))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))> #<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)))))))))>)
1.076 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
1.076 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (atan2 1.0 (+ 1 (* N (+ N 1.0))))
1.077 * * [simplify]: iteration  0 :  11  enodes  (cost  9 )
1.077 * * [simplify]: iteration  1 :  11  enodes  (cost  9 )
1.077 * [simplify]: Simplified to:
   (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
2.479 * [regime-testing]: End program error score: 0.32501871428549534
2.543 * [regime-testing]: Target error score: 0.3284672656670081