9.439 * [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:
  (- (atan (+ N 1.0)) (atan N))
0.035 * [simplify]: Sending expressions to egg_math:
 (- (atan (+ h0 h1)) (atan h0))
0.037 * * [progress]: iteration 1 / 4
0.037 * * * [progress]: picking best candidate
0.048 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.048 * * * [progress]: localizing error
0.055 * * * [progress]: generating rewritten candidates
0.055 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.061 * * * [progress]: generating series expansions
0.061 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.061 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.061 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.061 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.061 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.061 * [taylor]: Taking taylor expansion of (atan N) in N
0.061 * [backup-simplify]: Simplify (atan N) into (atan N)
0.061 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.062 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.062 * [taylor]: Taking taylor expansion of (atan N) in N
0.062 * [backup-simplify]: Simplify (atan N) into (atan N)
0.062 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.062 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.062 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.063 * [backup-simplify]: Simplify (- 0) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (- 0) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (- 0) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (- 0) into 0
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (- 0) into 0
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (- 0) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.066 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.066 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.066 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.066 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.066 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.066 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.066 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.066 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.066 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.066 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.066 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.066 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.066 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.066 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.067 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.067 * [backup-simplify]: Simplify (- 0) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify (- 0) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (- 0) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (- 0) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (- 0) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (- 0) into 0
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.070 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.070 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.070 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.070 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.070 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.070 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.070 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.070 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.070 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.070 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.070 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.070 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.070 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.071 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.071 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.071 * [backup-simplify]: Simplify (- 0) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (- 0) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (- 0) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (- 0) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (- 0) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (- 0) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.074 * * * [progress]: simplifying candidates
0.075 * [simplify]: Simplifying:
  (- (+ 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))))
  (- (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))
  (- (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
0.075 * [simplify]: Sending expressions to egg_math:
 (- (+ h0 h1) h0)
 (+ 1 (* (+ h0 h1) h0))
 (/ (exp (atan (+ h0 h1))) (exp (atan h0)))
 (log (- (atan (+ h0 h1)) (atan h0)))
 (exp (- (atan (+ h0 h1)) (atan h0)))
 (* (cbrt (- (atan (+ h0 h1)) (atan h0))) (cbrt (- (atan (+ h0 h1)) (atan h0))))
 (cbrt (- (atan (+ h0 h1)) (atan h0)))
 (* (* (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0))) (- (atan (+ h0 h1)) (atan h0)))
 (sqrt (- (atan (+ h0 h1)) (atan h0)))
 (sqrt (- (atan (+ h0 h1)) (atan h0)))
 (- (pow (atan (+ h0 h1)) 3) (pow (atan h0) 3))
 (+ (* (atan (+ h0 h1)) (atan (+ h0 h1))) (+ (* (atan h0) (atan h0)) (* (atan (+ h0 h1)) (atan h0))))
 (- (atan h0))
 (- (* (atan (+ h0 h1)) (atan (+ h0 h1))) (* (atan h0) (atan h0)))
 (+ (atan (+ h0 h1)) (atan h0))
 (+ (sqrt (atan (+ h0 h1))) (sqrt (atan h0)))
 (- (sqrt (atan (+ h0 h1))) (sqrt (atan h0)))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
0.145 * * * [progress]: adding candidates to table
0.175 * * [progress]: iteration 2 / 4
0.175 * * * [progress]: picking best candidate
0.179 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
0.179 * * * [progress]: localizing error
0.191 * * * [progress]: generating rewritten candidates
0.191 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.191 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2)
0.213 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.220 * * * [progress]: generating series expansions
0.220 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.221 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.221 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.221 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.221 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.221 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.221 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.221 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.222 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.222 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.222 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.222 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.222 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.222 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.222 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.223 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.223 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.223 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.223 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.223 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.223 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.223 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.224 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2)
0.224 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
0.224 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
0.224 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.224 * [taylor]: Taking taylor expansion of N in N
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.224 * [taylor]: Taking taylor expansion of N in N
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [taylor]: Taking taylor expansion of 1.0 in N
0.224 * [backup-simplify]: Simplify 1.0 into 1.0
0.224 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.224 * [taylor]: Taking taylor expansion of N in N
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.224 * [taylor]: Taking taylor expansion of N in N
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [taylor]: Taking taylor expansion of 1.0 in N
0.224 * [backup-simplify]: Simplify 1.0 into 1.0
0.225 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.225 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify (+ 1 0) into 1
0.226 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.226 * [backup-simplify]: Simplify 1.0 into 1.0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (+ 0 0) into 0
0.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
0.231 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify (+ 0 0) into 0
0.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N))
0.235 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
0.235 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
0.235 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.235 * [taylor]: Taking taylor expansion of N in N
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (/ 1 1) into 1
0.235 * [taylor]: Taking taylor expansion of 1.0 in N
0.235 * [backup-simplify]: Simplify 1.0 into 1.0
0.235 * [taylor]: Taking taylor expansion of N in N
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (+ 1 0) into 1
0.236 * [backup-simplify]: Simplify (/ 1 1) into 1
0.236 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.236 * [taylor]: Taking taylor expansion of N in N
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (/ 1 1) into 1
0.236 * [taylor]: Taking taylor expansion of 1.0 in N
0.236 * [backup-simplify]: Simplify 1.0 into 1.0
0.236 * [taylor]: Taking taylor expansion of N in N
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (+ 1 0) into 1
0.237 * [backup-simplify]: Simplify (/ 1 1) into 1
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.239 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
0.239 * [backup-simplify]: Simplify 1.0 into 1.0
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N))
0.248 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
0.248 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
0.248 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.248 * [taylor]: Taking taylor expansion of -1 in N
0.248 * [backup-simplify]: Simplify -1 into -1
0.248 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.248 * [taylor]: Taking taylor expansion of 1.0 in N
0.248 * [backup-simplify]: Simplify 1.0 into 1.0
0.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.248 * [taylor]: Taking taylor expansion of N in N
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (/ 1 1) into 1
0.248 * [taylor]: Taking taylor expansion of N in N
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.249 * [backup-simplify]: Simplify (- 1) into -1
0.249 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.249 * [backup-simplify]: Simplify (/ -1 1) into -1
0.249 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.249 * [taylor]: Taking taylor expansion of -1 in N
0.249 * [backup-simplify]: Simplify -1 into -1
0.249 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.249 * [taylor]: Taking taylor expansion of 1.0 in N
0.249 * [backup-simplify]: Simplify 1.0 into 1.0
0.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.249 * [taylor]: Taking taylor expansion of N in N
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (/ 1 1) into 1
0.250 * [taylor]: Taking taylor expansion of N in N
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (- 1) into -1
0.250 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.250 * [backup-simplify]: Simplify (/ -1 1) into -1
0.251 * [backup-simplify]: Simplify (* -1 -1) into 1
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (- 0) into 0
0.252 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.253 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
0.254 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.254 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (- 0) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (- 0) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
0.259 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (- 0) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify (- 0) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (- 0) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (- 0) into 0
0.272 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N))
0.274 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.274 * [backup-simplify]: Simplify (+ 1 (* (+ N 1.0) N)) into (+ (pow N 2) (+ (* 1.0 N) 1))
0.274 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0
0.274 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N
0.274 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.274 * [taylor]: Taking taylor expansion of N in N
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N
0.275 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
0.275 * [taylor]: Taking taylor expansion of 1.0 in N
0.275 * [backup-simplify]: Simplify 1.0 into 1.0
0.275 * [taylor]: Taking taylor expansion of N in N
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [taylor]: Taking taylor expansion of 1 in N
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N
0.275 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.275 * [taylor]: Taking taylor expansion of N in N
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N
0.275 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
0.275 * [taylor]: Taking taylor expansion of 1.0 in N
0.275 * [backup-simplify]: Simplify 1.0 into 1.0
0.275 * [taylor]: Taking taylor expansion of N in N
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [taylor]: Taking taylor expansion of 1 in N
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (* 1.0 0) into 0
0.276 * [backup-simplify]: Simplify (+ 0 1) into 1
0.276 * [backup-simplify]: Simplify (+ 0 1) into 1
0.276 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
0.277 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.277 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.277 * [backup-simplify]: Simplify 1.0 into 1.0
0.278 * [backup-simplify]: Simplify (* 1 1) into 1
0.278 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (+ 1 0) into 1
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (pow N 2) (+ (* 1.0 N) 1))
0.279 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))) into (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))
0.279 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0
0.279 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N
0.279 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
0.279 * [taylor]: Taking taylor expansion of 1.0 in N
0.279 * [backup-simplify]: Simplify 1.0 into 1.0
0.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.279 * [taylor]: Taking taylor expansion of N in N
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
0.280 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.280 * [taylor]: Taking taylor expansion of N in N
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* 1 1) into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of 1 in N
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N
0.280 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
0.280 * [taylor]: Taking taylor expansion of 1.0 in N
0.280 * [backup-simplify]: Simplify 1.0 into 1.0
0.280 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.280 * [taylor]: Taking taylor expansion of N in N
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
0.281 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.281 * [taylor]: Taking taylor expansion of N in N
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (* 1 1) into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [taylor]: Taking taylor expansion of 1 in N
0.281 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.282 * [backup-simplify]: Simplify (+ 0 1) into 1
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (* 1.0 1) into 1.0
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.284 * [backup-simplify]: Simplify 1.0 into 1.0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ 0 1) into 1
0.286 * [backup-simplify]: Simplify (+ 0 1) into 1
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1))
0.287 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))
0.287 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0
0.287 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N
0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
0.287 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.287 * [taylor]: Taking taylor expansion of N in N
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* 1 1) into 1
0.287 * [backup-simplify]: Simplify (/ 1 1) into 1
0.287 * [taylor]: Taking taylor expansion of 1 in N
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
0.287 * [taylor]: Taking taylor expansion of 1.0 in N
0.287 * [backup-simplify]: Simplify 1.0 into 1.0
0.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.287 * [taylor]: Taking taylor expansion of N in N
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify (/ 1 1) into 1
0.288 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N
0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
0.288 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.288 * [taylor]: Taking taylor expansion of N in N
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (/ 1 1) into 1
0.288 * [taylor]: Taking taylor expansion of 1 in N
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
0.288 * [taylor]: Taking taylor expansion of 1.0 in N
0.288 * [backup-simplify]: Simplify 1.0 into 1.0
0.288 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.288 * [taylor]: Taking taylor expansion of N in N
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (/ 1 1) into 1
0.289 * [backup-simplify]: Simplify (+ 1 0) into 1
0.289 * [backup-simplify]: Simplify (+ 1 0) into 1
0.289 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [backup-simplify]: Simplify (* 1.0 1) into 1.0
0.291 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.291 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.292 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (+ 0 1) into 1
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (- 0) into 0
0.294 * [backup-simplify]: Simplify (+ 1 0) into 1
0.294 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1))
0.295 * * * [progress]: simplifying candidates
0.296 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (+ N 1.0) N)
  (+ (log (+ N 1.0)) (log N))
  (log (* (+ N 1.0) N))
  (exp (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (cbrt (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (+ N 1.0) (sqrt N))
  (* (+ N 1.0) 1)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (- (* N N) (* 1.0 1.0)) N)
  (* (exp 1) (exp (* (+ N 1.0) N)))
  (log (+ 1 (* (+ N 1.0) N)))
  (exp (+ 1 (* (+ N 1.0) N)))
  (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N))))
  (cbrt (+ 1 (* (+ N 1.0) N)))
  (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N)))
  (sqrt (+ 1 (* (+ N 1.0) N)))
  (sqrt (+ 1 (* (+ N 1.0) N)))
  (+ (pow 1 3) (pow (* (+ N 1.0) N) 3))
  (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N))))
  (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)))
  (- 1 (* (+ N 1.0) N))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (+ (* 1.0 N) 1))
  (+ (pow N 2) (+ (* 1.0 N) 1))
  (+ (pow N 2) (+ (* 1.0 N) 1))
0.296 * [simplify]: Sending expressions to egg_math:
 (log (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (exp (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (+ h0 h1) h0)
 (+ (log (+ h0 h1)) (log h0))
 (log (* (+ h0 h1) h0))
 (exp (* (+ h0 h1) h0))
 (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0))
 (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))
 (cbrt (* (+ h0 h1) h0))
 (* (* (* (+ h0 h1) h0) (* (+ h0 h1) h0)) (* (+ h0 h1) h0))
 (sqrt (* (+ h0 h1) h0))
 (sqrt (* (+ h0 h1) h0))
 (* (sqrt (+ h0 h1)) (sqrt h0))
 (* (sqrt (+ h0 h1)) (sqrt h0))
 (* (+ h0 h1) (* (cbrt h0) (cbrt h0)))
 (* (+ h0 h1) (sqrt h0))
 (* (+ h0 h1) 1)
 (* (cbrt (+ h0 h1)) h0)
 (* (sqrt (+ h0 h1)) h0)
 (* (+ h0 h1) h0)
 (* (+ h0 h1) h0)
 (* (+ (pow h0 3) (pow h1 3)) h0)
 (* (- (* h0 h0) (* h1 h1)) h0)
 (* (exp 1) (exp (* (+ h0 h1) h0)))
 (log (+ 1 (* (+ h0 h1) h0)))
 (exp (+ 1 (* (+ h0 h1) h0)))
 (* (cbrt (+ 1 (* (+ h0 h1) h0))) (cbrt (+ 1 (* (+ h0 h1) h0))))
 (cbrt (+ 1 (* (+ h0 h1) h0)))
 (* (* (+ 1 (* (+ h0 h1) h0)) (+ 1 (* (+ h0 h1) h0))) (+ 1 (* (+ h0 h1) h0)))
 (sqrt (+ 1 (* (+ h0 h1) h0)))
 (sqrt (+ 1 (* (+ h0 h1) h0)))
 (+ (pow 1 3) (pow (* (+ h0 h1) h0) 3))
 (+ (* 1 1) (- (* (* (+ h0 h1) h0) (* (+ h0 h1) h0)) (* 1 (* (+ h0 h1) h0))))
 (- (* 1 1) (* (* (+ h0 h1) h0) (* (+ h0 h1) h0)))
 (- 1 (* (+ h0 h1) h0))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (+ (pow h0 2) (* h1 h0))
 (+ (pow h0 2) (* h1 h0))
 (+ (pow h0 2) (* h1 h0))
 (+ (pow h0 2) (+ (* h1 h0) 1))
 (+ (pow h0 2) (+ (* h1 h0) 1))
 (+ (pow h0 2) (+ (* h1 h0) 1))
0.405 * * * [progress]: adding candidates to table
0.485 * * [progress]: iteration 3 / 4
0.485 * * * [progress]: picking best candidate
0.493 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>
0.493 * * * [progress]: localizing error
0.506 * * * [progress]: generating rewritten candidates
0.506 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.507 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.508 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.522 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.524 * * * [progress]: generating series expansions
0.524 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.525 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.525 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.525 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.525 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.525 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.525 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.525 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.525 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.526 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.526 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.526 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.526 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.527 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.531 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.531 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.531 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.531 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.531 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.531 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.531 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.531 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.531 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.532 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.532 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.532 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.535 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.537 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.537 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.537 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.537 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.537 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.537 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.537 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.537 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.537 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.538 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.538 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.538 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.541 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.542 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.542 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.543 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.543 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.543 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.543 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.543 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.543 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.543 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.543 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.543 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.544 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.544 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.546 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.548 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.549 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.549 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.549 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.549 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.549 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.549 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.550 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.550 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.550 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.550 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.550 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.552 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.553 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.555 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.555 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.555 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.555 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.555 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.555 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.556 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.556 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.556 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.556 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.556 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.558 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.560 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.561 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.561 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.561 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.561 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.561 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.561 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.561 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.562 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.562 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.562 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.562 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.562 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.562 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.562 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.563 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.563 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.563 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.563 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.563 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.564 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.564 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.564 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.564 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.564 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.564 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.564 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.565 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.565 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.565 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.565 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.565 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.565 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.565 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.565 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.566 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.566 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.566 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.566 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.566 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.567 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.567 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.567 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.567 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.567 * * * [progress]: simplifying candidates
0.569 * [simplify]: Simplifying:
  (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)))
0.569 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (exp (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt 1)
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (exp (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt 1)
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (+ 1/2 1/2)
 (+ 1/2 (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) 1/2)
 (+ (/ 1 2) (/ 1 2))
 (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (+ 1 1)
 (+ (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (log (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (exp (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (cbrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (cbrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (cbrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* 1 1)
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt 1))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) 1)
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (log (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (exp (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
0.673 * * * [progress]: adding candidates to table
0.809 * * [progress]: iteration 4 / 4
0.809 * * * [progress]: picking best candidate
0.815 * * * * [pick]: Picked  #<alt (λ (N) (* (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))>
0.816 * * * [progress]: localizing error
0.832 * * * [progress]: generating rewritten candidates
0.832 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
0.834 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
0.835 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
0.839 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
0.841 * * * [progress]: generating series expansions
0.841 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
0.841 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.841 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.841 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.841 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.841 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.842 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.842 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.842 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.842 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.842 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.842 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.843 * [backup-simplify]: Simplify 0 into 0
0.843 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.843 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.844 * [backup-simplify]: Simplify 0 into 0
0.845 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.845 * [backup-simplify]: Simplify 0 into 0
0.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.845 * [backup-simplify]: Simplify 0 into 0
0.846 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.846 * [backup-simplify]: Simplify 0 into 0
0.846 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.847 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.847 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.847 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.847 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.847 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.847 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.847 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.847 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.847 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.848 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.848 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.848 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.849 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.850 * [backup-simplify]: Simplify 0 into 0
0.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.850 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.851 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.852 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.852 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.852 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.852 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.853 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.853 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.853 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.853 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.853 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.853 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.854 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.854 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.855 * [backup-simplify]: Simplify 0 into 0
0.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.855 * [backup-simplify]: Simplify 0 into 0
0.856 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.856 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.857 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.858 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
0.858 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.858 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.858 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.858 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.858 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.858 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.858 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.859 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.859 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.859 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.859 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.859 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.860 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.861 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.862 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.868 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.868 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.868 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.868 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.868 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.868 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.868 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.868 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.869 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.869 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.869 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.869 * [backup-simplify]: Simplify 0 into 0
0.870 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.870 * [backup-simplify]: Simplify 0 into 0
0.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.871 * [backup-simplify]: Simplify 0 into 0
0.871 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.871 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.872 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.873 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.873 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.873 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.873 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.874 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.874 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.874 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.874 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.874 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.874 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.875 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.875 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.876 * [backup-simplify]: Simplify 0 into 0
0.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.877 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.879 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
0.880 * [backup-simplify]: Simplify (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5) into (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 5)
0.880 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 5) in (N) around 0
0.880 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 5) in N
0.880 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) in N
0.880 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N
0.880 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N
0.880 * [taylor]: Taking taylor expansion of 1/6 in N
0.880 * [backup-simplify]: Simplify 1/6 into 1/6
0.880 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.880 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.880 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.880 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.880 * [backup-simplify]: Simplify (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) into (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))
0.881 * [backup-simplify]: Simplify (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6)
0.881 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 5) in N
0.881 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) in N
0.881 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N
0.881 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N
0.881 * [taylor]: Taking taylor expansion of 1/6 in N
0.881 * [backup-simplify]: Simplify 1/6 into 1/6
0.881 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.881 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.881 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.881 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.881 * [backup-simplify]: Simplify (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) into (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))
0.881 * [backup-simplify]: Simplify (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6)
0.882 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6)) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
0.882 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)) into (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2) 1/3)
0.883 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2) 1/3)) into (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5) 1/6)
0.883 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5) 1/6) into (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5) 1/6)
0.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 1) into 0
0.884 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.885 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.885 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6))) into 0
0.886 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3))) into 0
0.886 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (* 0 (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2) 1/3))) into 0
0.886 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 2) into 0
0.888 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))))) into 0
0.889 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.890 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6)))) into 0
0.890 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)))) into 0
0.891 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2) 1/3)))) into 0
0.891 * [backup-simplify]: Simplify 0 into 0
0.893 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 6) into 0
0.894 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))))) into 0
0.895 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.896 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6))))) into 0
0.897 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3))))) into 0
0.898 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2) 1/3))))) into 0
0.898 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 24) into 0
0.904 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))))))) into 0
0.906 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.907 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6)))))) into 0
0.908 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)))))) into 0
0.910 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2) 1/3)))))) into 0
0.910 * [backup-simplify]: Simplify 0 into 0
0.915 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 120) into 0
0.916 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))))))) into 0
0.919 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.920 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6))))))) into 0
0.921 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3))))))) into 0
0.923 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2) 1/3))))))) into 0
0.923 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 720) into 0
0.933 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))))))))) into 0
0.937 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.938 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6)))))))) into 0
0.940 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)))))))) into 0
0.942 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2) 1/3)))))))) into 0
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5) 1/6) into (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5) 1/6)
0.942 * [backup-simplify]: Simplify (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))) 5) into (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 5)
0.942 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 5) in (N) around 0
0.942 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 5) in N
0.942 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) in N
0.942 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N
0.942 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N
0.942 * [taylor]: Taking taylor expansion of 1/6 in N
0.942 * [backup-simplify]: Simplify 1/6 into 1/6
0.943 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.943 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.943 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.943 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.943 * [backup-simplify]: Simplify (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) into (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))
0.943 * [backup-simplify]: Simplify (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6)
0.944 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 5) in N
0.944 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) in N
0.944 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N
0.944 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N
0.944 * [taylor]: Taking taylor expansion of 1/6 in N
0.944 * [backup-simplify]: Simplify 1/6 into 1/6
0.944 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.944 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.944 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.944 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.944 * [backup-simplify]: Simplify (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) into (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))
0.945 * [backup-simplify]: Simplify (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6)
0.945 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6)) into (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)
0.946 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)) into (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2) 1/3)
0.946 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2) 1/3)) into (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5) 1/6)
0.946 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5) 1/6) into (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5) 1/6)
0.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 1) into 0
0.948 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.949 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.949 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6))) into 0
0.950 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3))) into 0
0.950 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (* 0 (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2) 1/3))) into 0
0.950 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 2) into 0
0.952 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))))) into 0
0.953 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.954 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6)))) into 0
0.955 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)))) into 0
0.956 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2) 1/3)))) into 0
0.956 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 6) into 0
0.959 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))))) into 0
0.966 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.967 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6))))) into 0
0.968 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3))))) into 0
0.969 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2) 1/3))))) into 0
0.969 * [backup-simplify]: Simplify 0 into 0
0.973 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 24) into 0
0.974 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))))))) into 0
0.976 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.977 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6)))))) into 0
0.979 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)))))) into 0
0.980 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2) 1/3)))))) into 0
0.980 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 120) into 0
0.987 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))))))) into 0
0.989 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.991 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6))))))) into 0
0.992 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3))))))) into 0
0.994 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2) 1/3))))))) into 0
0.994 * [backup-simplify]: Simplify 0 into 0
1.003 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 720) into 0
1.004 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))))))))) into 0
1.008 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.010 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6)))))))) into 0
1.011 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)))))))) into 0
1.013 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2) 1/3)))))))) into 0
1.013 * [backup-simplify]: Simplify 0 into 0
1.013 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) 5) 1/6) into (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5) 1/6)
1.014 * [backup-simplify]: Simplify (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) 5) into (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 5)
1.014 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 5) in (N) around 0
1.014 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 5) in N
1.014 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) in N
1.014 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
1.014 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
1.014 * [taylor]: Taking taylor expansion of 1/6 in N
1.014 * [backup-simplify]: Simplify 1/6 into 1/6
1.014 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
1.014 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.014 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.014 * [backup-simplify]: Simplify (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
1.014 * [backup-simplify]: Simplify (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) into (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))
1.015 * [backup-simplify]: Simplify (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6)
1.015 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 5) in N
1.015 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) in N
1.015 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
1.015 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
1.015 * [taylor]: Taking taylor expansion of 1/6 in N
1.015 * [backup-simplify]: Simplify 1/6 into 1/6
1.015 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
1.015 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.015 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.015 * [backup-simplify]: Simplify (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
1.015 * [backup-simplify]: Simplify (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) into (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))
1.016 * [backup-simplify]: Simplify (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6)
1.016 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6)) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)
1.016 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)) into (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2) 1/3)
1.017 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2) 1/3)) into (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5) 1/6)
1.017 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5) 1/6) into (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5) 1/6)
1.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 1) into 0
1.019 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
1.019 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.020 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6))) into 0
1.020 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3))) into 0
1.021 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (* 0 (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2) 1/3))) into 0
1.021 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 2) into 0
1.023 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))) into 0
1.024 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.025 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6)))) into 0
1.025 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)))) into 0
1.026 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2) 1/3)))) into 0
1.026 * [backup-simplify]: Simplify 0 into 0
1.029 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 6) into 0
1.029 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))))) into 0
1.031 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.032 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6))))) into 0
1.033 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3))))) into 0
1.034 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2) 1/3))))) into 0
1.034 * [backup-simplify]: Simplify 0 into 0
1.037 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 24) into 0
1.038 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))))) into 0
1.040 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.041 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6)))))) into 0
1.042 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)))))) into 0
1.044 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2) 1/3)))))) into 0
1.044 * [backup-simplify]: Simplify 0 into 0
1.050 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 120) into 0
1.051 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))))))) into 0
1.053 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.057 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6))))))) into 0
1.059 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3))))))) into 0
1.060 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2) 1/3))))))) into 0
1.060 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 720) into 0
1.071 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))))))) into 0
1.074 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.076 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6)))))))) into 0
1.078 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)))))))) into 0
1.080 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2) 1/3)))))))) into 0
1.080 * [backup-simplify]: Simplify 0 into 0
1.080 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) 5) 1/6) into (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5) 1/6)
1.081 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
1.081 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.081 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
1.081 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.081 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.081 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.081 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.081 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.081 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify 0 into 0
1.082 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.082 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.082 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
1.082 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.082 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.082 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.082 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.082 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.083 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.083 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.083 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
1.083 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.083 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.083 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.084 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.084 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.084 * * * [progress]: simplifying candidates
1.086 * [simplify]: Simplifying:
  (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 (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) 5)
  (* (log (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) 5)
  (* 1/3 5)
  (* 1 5)
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt 5) (cbrt 5)))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt 5))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 1)
  (pow (cbrt (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) 5)
  (pow (cbrt (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) 5)
  (pow (cbrt (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) 5)
  (pow (cbrt (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) 5)
  (pow (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) 5)
  (pow (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) 5)
  (pow (cbrt (sqrt 1)) 5)
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5)
  (pow (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) 5)
  (pow (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) 5)
  (pow (cbrt 1) 5)
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5)
  (pow (* (cbrt (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) 5)
  (pow (cbrt (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) 5)
  (pow (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) 5)
  (pow (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) 5)
  (pow 1 5)
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5)
  (log (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5))
  (exp (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5))
  (* (cbrt (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5)) (cbrt (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5)))
  (cbrt (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5))
  (* (* (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5)) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5))
  (sqrt (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5))
  (sqrt (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (/ 5 2))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (/ 5 2))
  (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))))
  (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5) 1/6)
  (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5) 1/6)
  (pow (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5) 1/6)
  (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)))
1.086 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (exp (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt 1)
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (exp (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt 1)
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (log (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) 5)
 (* (log (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) 5)
 (* 1/3 5)
 (* 1 5)
 (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (* (cbrt 5) (cbrt 5)))
 (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt 5))
 (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 1)
 (pow (cbrt (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))) 5)
 (pow (cbrt (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) 5)
 (pow (cbrt (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))) 5)
 (pow (cbrt (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) 5)
 (pow (cbrt (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) 5)
 (pow (cbrt (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) 5)
 (pow (cbrt (sqrt 1)) 5)
 (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5)
 (pow (cbrt (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) 5)
 (pow (cbrt (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) 5)
 (pow (cbrt 1) 5)
 (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5)
 (pow (* (cbrt (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (cbrt (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))) 5)
 (pow (cbrt (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) 5)
 (pow (sqrt (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) 5)
 (pow (sqrt (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) 5)
 (pow 1 5)
 (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5)
 (log (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5))
 (exp (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5))
 (* (cbrt (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5)) (cbrt (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5)))
 (cbrt (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5))
 (* (* (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5) (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5)) (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5))
 (sqrt (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5))
 (sqrt (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) 5))
 (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (/ 5 2))
 (pow (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (/ 5 2))
 (log (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (exp (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (pow (pow (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))) 5) 1/6)
 (pow (pow (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))) 5) 1/6)
 (pow (pow (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))) 5) 1/6)
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
1.249 * * * [progress]: adding candidates to table
1.421 * [progress]: [Phase 3 of 3] Extracting.
1.421 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<alt (λ (N) (* (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5) (cbrt (sqrt (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 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))>)
1.422 * * * [regime-changes]: Trying 1 branch expressions: (N)
1.422 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<alt (λ (N) (* (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5) (cbrt (sqrt (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 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))>)
1.441 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
1.442 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
1.442 * [simplify]: Sending expressions to egg_math:
 (atan2 h1 (+ 1 (* (+ h0 h1) h0)))
3.089 * [regime-testing]: Baseline error score: 0.42381365504038976
3.093 * [regime-testing]: Oracle error score: 0.39411182199866923
3.098 * [regime-testing]: End program error score: 0.42381365504038976
3.123 * [regime-testing]: Target error score: 0.4247618938828351