42.085 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.032 * * * [progress]: [2/2] Setting up program.
0.035 * [progress]: [Phase 2 of 3] Improving.
0.035 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.061 * * [progress]: iteration 1 / 4
0.061 * * * [progress]: picking best candidate
0.064 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.064 * * * [progress]: localizing error
0.078 * * * [progress]: generating rewritten candidates
0.078 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.084 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.085 * * * [progress]: generating series expansions
0.085 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.086 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.086 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.086 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.086 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.087 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.087 * [taylor]: Taking taylor expansion of (atan N) in N
0.087 * [backup-simplify]: Simplify (atan N) into (atan N)
0.087 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.087 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.087 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.087 * [taylor]: Taking taylor expansion of (atan N) in N
0.087 * [backup-simplify]: Simplify (atan N) into (atan N)
0.087 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.087 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.087 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.087 * [backup-simplify]: Simplify (- 0) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (- 0) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (- 0) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (- 0) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (- 0) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (- 0) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.090 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.090 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.090 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.090 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.091 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.091 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.091 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.091 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.091 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.091 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.091 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.091 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.091 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.091 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.091 * [backup-simplify]: Simplify (- 0) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify (- 0) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify (- 0) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (- 0) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (- 0) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (- 0) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.094 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.094 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.094 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.094 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.094 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.094 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.094 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.094 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.094 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.095 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.095 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.095 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.095 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.095 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.095 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.095 * [backup-simplify]: Simplify (- 0) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (- 0) into 0
0.096 * [backup-simplify]: Simplify (+ 0 0) into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (- 0) into 0
0.096 * [backup-simplify]: Simplify (+ 0 0) into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (- 0) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (- 0) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (- 0) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.098 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.098 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.098 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.098 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.099 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.099 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.099 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.099 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.099 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.099 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.099 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.099 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.100 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.100 * * * [progress]: simplifying candidates
0.100 * [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))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
1.264 * * * [progress]: adding candidates to table
1.338 * * [progress]: iteration 2 / 4
1.338 * * * [progress]: picking best candidate
1.339 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
1.339 * * * [progress]: localizing error
1.350 * * * [progress]: generating rewritten candidates
1.350 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.351 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
1.372 * * * [progress]: generating series expansions
1.372 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.373 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.373 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
1.373 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.373 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.373 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.373 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.373 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.374 * [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)))
1.374 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
1.374 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.374 * [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)))
1.374 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.374 * [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)))
1.374 * [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)))
1.374 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify 0 into 0
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [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)))
1.375 * [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))))
1.375 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
1.375 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.375 * [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))))
1.375 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.375 * [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))))
1.376 * [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))))
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [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)))
1.376 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
1.376 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
1.376 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
1.376 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
1.376 * [taylor]: Taking taylor expansion of N in N
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 1 into 1
1.376 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.376 * [taylor]: Taking taylor expansion of N in N
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 1 into 1
1.376 * [taylor]: Taking taylor expansion of 1.0 in N
1.376 * [backup-simplify]: Simplify 1.0 into 1.0
1.376 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
1.376 * [taylor]: Taking taylor expansion of N in N
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 1 into 1
1.376 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.376 * [taylor]: Taking taylor expansion of N in N
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 1 into 1
1.376 * [taylor]: Taking taylor expansion of 1.0 in N
1.376 * [backup-simplify]: Simplify 1.0 into 1.0
1.377 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.377 * [backup-simplify]: Simplify (* 0 1.0) into 0
1.377 * [backup-simplify]: Simplify 0 into 0
1.378 * [backup-simplify]: Simplify (+ 1 0) into 1
1.378 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
1.378 * [backup-simplify]: Simplify 1.0 into 1.0
1.379 * [backup-simplify]: Simplify (+ 0 0) into 0
1.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
1.379 * [backup-simplify]: Simplify 1 into 1
1.380 * [backup-simplify]: Simplify (+ 0 0) into 0
1.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
1.380 * [backup-simplify]: Simplify 0 into 0
1.380 * [backup-simplify]: Simplify (+ 0 0) into 0
1.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify (+ 0 0) into 0
1.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
1.382 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify (+ 0 0) into 0
1.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
1.384 * [backup-simplify]: Simplify 0 into 0
1.384 * [backup-simplify]: Simplify (+ 0 0) into 0
1.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
1.385 * [backup-simplify]: Simplify 0 into 0
1.385 * [backup-simplify]: Simplify (+ 0 0) into 0
1.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
1.386 * [backup-simplify]: Simplify 0 into 0
1.386 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N))
1.387 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
1.387 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
1.387 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.387 * [taylor]: Taking taylor expansion of N in N
1.387 * [backup-simplify]: Simplify 0 into 0
1.387 * [backup-simplify]: Simplify 1 into 1
1.387 * [backup-simplify]: Simplify (/ 1 1) into 1
1.387 * [taylor]: Taking taylor expansion of 1.0 in N
1.387 * [backup-simplify]: Simplify 1.0 into 1.0
1.387 * [taylor]: Taking taylor expansion of N in N
1.387 * [backup-simplify]: Simplify 0 into 0
1.387 * [backup-simplify]: Simplify 1 into 1
1.387 * [backup-simplify]: Simplify (+ 1 0) into 1
1.388 * [backup-simplify]: Simplify (/ 1 1) into 1
1.388 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.388 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.388 * [taylor]: Taking taylor expansion of N in N
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 1 into 1
1.388 * [backup-simplify]: Simplify (/ 1 1) into 1
1.388 * [taylor]: Taking taylor expansion of 1.0 in N
1.388 * [backup-simplify]: Simplify 1.0 into 1.0
1.388 * [taylor]: Taking taylor expansion of N in N
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 1 into 1
1.388 * [backup-simplify]: Simplify (+ 1 0) into 1
1.388 * [backup-simplify]: Simplify (/ 1 1) into 1
1.389 * [backup-simplify]: Simplify 1 into 1
1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.389 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.390 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
1.390 * [backup-simplify]: Simplify 1.0 into 1.0
1.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.391 * [backup-simplify]: Simplify (+ 0 0) into 0
1.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
1.392 * [backup-simplify]: Simplify 0 into 0
1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.392 * [backup-simplify]: Simplify (+ 0 0) into 0
1.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.393 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.394 * [backup-simplify]: Simplify (+ 0 0) into 0
1.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.394 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.395 * [backup-simplify]: Simplify (+ 0 0) into 0
1.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.396 * [backup-simplify]: Simplify 0 into 0
1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.397 * [backup-simplify]: Simplify (+ 0 0) into 0
1.397 * [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
1.397 * [backup-simplify]: Simplify 0 into 0
1.398 * [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
1.398 * [backup-simplify]: Simplify (+ 0 0) into 0
1.399 * [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
1.399 * [backup-simplify]: Simplify 0 into 0
1.399 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N))
1.399 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
1.399 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
1.399 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
1.399 * [taylor]: Taking taylor expansion of -1 in N
1.399 * [backup-simplify]: Simplify -1 into -1
1.399 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
1.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.399 * [taylor]: Taking taylor expansion of 1.0 in N
1.399 * [backup-simplify]: Simplify 1.0 into 1.0
1.399 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.399 * [taylor]: Taking taylor expansion of N in N
1.399 * [backup-simplify]: Simplify 0 into 0
1.399 * [backup-simplify]: Simplify 1 into 1
1.400 * [backup-simplify]: Simplify (/ 1 1) into 1
1.400 * [taylor]: Taking taylor expansion of N in N
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 1 into 1
1.400 * [backup-simplify]: Simplify (- 1) into -1
1.400 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.400 * [backup-simplify]: Simplify (/ -1 1) into -1
1.400 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
1.400 * [taylor]: Taking taylor expansion of -1 in N
1.400 * [backup-simplify]: Simplify -1 into -1
1.401 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
1.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.401 * [taylor]: Taking taylor expansion of 1.0 in N
1.401 * [backup-simplify]: Simplify 1.0 into 1.0
1.401 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.401 * [taylor]: Taking taylor expansion of N in N
1.401 * [backup-simplify]: Simplify 0 into 0
1.401 * [backup-simplify]: Simplify 1 into 1
1.401 * [backup-simplify]: Simplify (/ 1 1) into 1
1.401 * [taylor]: Taking taylor expansion of N in N
1.401 * [backup-simplify]: Simplify 0 into 0
1.401 * [backup-simplify]: Simplify 1 into 1
1.401 * [backup-simplify]: Simplify (- 1) into -1
1.401 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.402 * [backup-simplify]: Simplify (/ -1 1) into -1
1.402 * [backup-simplify]: Simplify (* -1 -1) into 1
1.402 * [backup-simplify]: Simplify 1 into 1
1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.403 * [backup-simplify]: Simplify (- 0) into 0
1.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.404 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
1.405 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
1.405 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.406 * [backup-simplify]: Simplify (- 0) into 0
1.406 * [backup-simplify]: Simplify (+ 0 0) into 0
1.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
1.407 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
1.407 * [backup-simplify]: Simplify 0 into 0
1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.408 * [backup-simplify]: Simplify (- 0) into 0
1.408 * [backup-simplify]: Simplify (+ 0 0) into 0
1.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.410 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
1.410 * [backup-simplify]: Simplify 0 into 0
1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.410 * [backup-simplify]: Simplify (- 0) into 0
1.411 * [backup-simplify]: Simplify (+ 0 0) into 0
1.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
1.412 * [backup-simplify]: Simplify 0 into 0
1.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.413 * [backup-simplify]: Simplify (- 0) into 0
1.413 * [backup-simplify]: Simplify (+ 0 0) into 0
1.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
1.415 * [backup-simplify]: Simplify 0 into 0
1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.416 * [backup-simplify]: Simplify (- 0) into 0
1.416 * [backup-simplify]: Simplify (+ 0 0) into 0
1.417 * [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
1.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
1.419 * [backup-simplify]: Simplify 0 into 0
1.421 * [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
1.421 * [backup-simplify]: Simplify (- 0) into 0
1.422 * [backup-simplify]: Simplify (+ 0 0) into 0
1.423 * [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
1.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
1.424 * [backup-simplify]: Simplify 0 into 0
1.425 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N))
1.425 * * * [progress]: simplifying candidates
1.425 * [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)
  (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))
2.107 * * * [progress]: adding candidates to table
2.169 * * [progress]: iteration 3 / 4
2.169 * * * [progress]: picking best candidate
2.173 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>
2.173 * * * [progress]: localizing error
2.184 * * * [progress]: generating rewritten candidates
2.184 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.185 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.186 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.199 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
2.202 * * * [progress]: generating series expansions
2.202 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.202 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
2.202 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
2.202 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
2.202 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
2.202 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.203 * [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))))
2.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.203 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
2.203 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
2.203 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.203 * [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))))
2.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.204 * [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))))
2.204 * [backup-simplify]: Simplify 0 into 0
2.204 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.204 * [backup-simplify]: Simplify 0 into 0
2.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.205 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.206 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.207 * [backup-simplify]: Simplify 0 into 0
2.207 * [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
2.207 * [backup-simplify]: Simplify 0 into 0
2.208 * [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))))
2.208 * [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))))
2.208 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
2.208 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
2.208 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
2.208 * [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)))
2.208 * [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))))
2.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
2.208 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
2.208 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
2.209 * [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)))
2.209 * [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))))
2.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
2.209 * [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))))
2.209 * [backup-simplify]: Simplify 0 into 0
2.210 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
2.210 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
2.211 * [backup-simplify]: Simplify 0 into 0
2.212 * [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
2.212 * [backup-simplify]: Simplify 0 into 0
2.213 * [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
2.213 * [backup-simplify]: Simplify 0 into 0
2.214 * [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
2.214 * [backup-simplify]: Simplify 0 into 0
2.215 * [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))))
2.215 * [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)))))
2.215 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
2.215 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
2.215 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.216 * [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))))
2.216 * [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)))))
2.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
2.216 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
2.216 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.217 * [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))))
2.217 * [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)))))
2.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
2.218 * [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)))))
2.218 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.222 * [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
2.222 * [backup-simplify]: Simplify 0 into 0
2.223 * [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
2.223 * [backup-simplify]: Simplify 0 into 0
2.224 * [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
2.224 * [backup-simplify]: Simplify 0 into 0
2.225 * [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))))
2.225 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.225 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
2.225 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
2.225 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
2.225 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
2.226 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.226 * [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))))
2.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.226 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
2.226 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
2.227 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.227 * [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))))
2.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.227 * [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))))
2.227 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.228 * [backup-simplify]: Simplify 0 into 0
2.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.229 * [backup-simplify]: Simplify 0 into 0
2.229 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.229 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
2.230 * [backup-simplify]: Simplify 0 into 0
2.231 * [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
2.231 * [backup-simplify]: Simplify 0 into 0
2.231 * [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))))
2.231 * [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))))
2.231 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
2.231 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
2.231 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
2.231 * [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)))
2.232 * [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))))
2.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
2.232 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
2.232 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
2.232 * [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)))
2.232 * [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))))
2.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
2.233 * [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))))
2.233 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
2.234 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
2.235 * [backup-simplify]: Simplify 0 into 0
2.235 * [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
2.235 * [backup-simplify]: Simplify 0 into 0
2.236 * [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
2.236 * [backup-simplify]: Simplify 0 into 0
2.237 * [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
2.237 * [backup-simplify]: Simplify 0 into 0
2.237 * [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))))
2.238 * [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)))))
2.238 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
2.238 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
2.238 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.238 * [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))))
2.238 * [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)))))
2.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
2.238 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
2.238 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.239 * [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))))
2.239 * [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)))))
2.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
2.239 * [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)))))
2.239 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
2.240 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
2.241 * [backup-simplify]: Simplify 0 into 0
2.242 * [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
2.242 * [backup-simplify]: Simplify 0 into 0
2.242 * [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
2.242 * [backup-simplify]: Simplify 0 into 0
2.243 * [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
2.243 * [backup-simplify]: Simplify 0 into 0
2.243 * [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))))
2.243 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.244 * [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)))
2.244 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
2.244 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
2.244 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.244 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
2.244 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.244 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.244 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.245 * [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)))
2.245 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
2.245 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
2.245 * [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)))
2.245 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
2.245 * [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)))
2.246 * [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)))
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [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)))
2.246 * [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))))
2.246 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
2.246 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.247 * [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))))
2.247 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.247 * [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))))
2.247 * [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))))
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [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)))
2.247 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
2.248 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.248 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
2.248 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
2.248 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.248 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
2.248 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.248 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
2.249 * [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)))
2.249 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
2.249 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
2.249 * [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)))
2.249 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
2.249 * [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)))
2.249 * [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)))
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify 0 into 0
2.250 * [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)))
2.250 * [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))))
2.250 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
2.250 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.250 * [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))))
2.250 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.250 * [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))))
2.250 * [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))))
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [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)))
2.251 * * * [progress]: simplifying candidates
2.252 * [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)))
6.743 * * * [progress]: adding candidates to table
6.892 * * [progress]: iteration 4 / 4
6.892 * * * [progress]: picking best candidate
6.894 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))>
6.894 * * * [progress]: localizing error
6.904 * * * [progress]: generating rewritten candidates
6.904 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
6.905 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2)
6.963 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2)
6.988 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1)
6.998 * * * [progress]: generating series expansions
6.998 * * * * [progress]: [ 1 / 4 ] generating series at (2)
6.998 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
6.998 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
6.998 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
6.999 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
6.999 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
6.999 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
6.999 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
6.999 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (sqrt (+ (/ 1 N) 1.0)) (* (sqrt (+ (/ 1 N) 1.0)) (/ 1 N))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
6.999 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
7.000 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
7.000 * [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)))
7.000 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
7.000 * [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)))
7.000 * [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)))
7.000 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify 0 into 0
7.000 * [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)))
7.001 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (sqrt (+ (/ 1 (- N)) 1.0)) (* (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
7.001 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
7.001 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
7.001 * [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))))
7.001 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
7.001 * [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))))
7.001 * [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))))
7.001 * [backup-simplify]: Simplify 0 into 0
7.001 * [backup-simplify]: Simplify 0 into 0
7.001 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [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)))
7.002 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2)
7.002 * [backup-simplify]: Simplify (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)) into (* N (+ N 1.0))
7.002 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
7.002 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
7.002 * [taylor]: Taking taylor expansion of N in N
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 1 into 1
7.002 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
7.002 * [taylor]: Taking taylor expansion of N in N
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 1 into 1
7.002 * [taylor]: Taking taylor expansion of 1.0 in N
7.002 * [backup-simplify]: Simplify 1.0 into 1.0
7.002 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
7.002 * [taylor]: Taking taylor expansion of N in N
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 1 into 1
7.002 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
7.002 * [taylor]: Taking taylor expansion of N in N
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 1 into 1
7.002 * [taylor]: Taking taylor expansion of 1.0 in N
7.002 * [backup-simplify]: Simplify 1.0 into 1.0
7.003 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.003 * [backup-simplify]: Simplify (* 0 1.0) into 0
7.003 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify (+ 1 0) into 1
7.004 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
7.004 * [backup-simplify]: Simplify 1.0 into 1.0
7.005 * [backup-simplify]: Simplify (+ 0 0) into 0
7.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
7.005 * [backup-simplify]: Simplify 1 into 1
7.005 * [backup-simplify]: Simplify (+ 0 0) into 0
7.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
7.006 * [backup-simplify]: Simplify 0 into 0
7.006 * [backup-simplify]: Simplify (+ 0 0) into 0
7.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
7.007 * [backup-simplify]: Simplify 0 into 0
7.007 * [backup-simplify]: Simplify (+ 0 0) into 0
7.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
7.008 * [backup-simplify]: Simplify 0 into 0
7.008 * [backup-simplify]: Simplify (+ 0 0) into 0
7.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
7.009 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify (+ 0 0) into 0
7.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
7.011 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify (+ 0 0) into 0
7.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N))
7.013 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 N) 1.0)) (* (sqrt (+ (/ 1 N) 1.0)) (/ 1 N))) into (/ (+ (/ 1 N) 1.0) N)
7.013 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
7.013 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
7.013 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
7.013 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.013 * [taylor]: Taking taylor expansion of N in N
7.013 * [backup-simplify]: Simplify 0 into 0
7.013 * [backup-simplify]: Simplify 1 into 1
7.013 * [backup-simplify]: Simplify (/ 1 1) into 1
7.013 * [taylor]: Taking taylor expansion of 1.0 in N
7.013 * [backup-simplify]: Simplify 1.0 into 1.0
7.013 * [taylor]: Taking taylor expansion of N in N
7.013 * [backup-simplify]: Simplify 0 into 0
7.013 * [backup-simplify]: Simplify 1 into 1
7.013 * [backup-simplify]: Simplify (+ 1 0) into 1
7.014 * [backup-simplify]: Simplify (/ 1 1) into 1
7.014 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
7.014 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
7.014 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.014 * [taylor]: Taking taylor expansion of N in N
7.014 * [backup-simplify]: Simplify 0 into 0
7.014 * [backup-simplify]: Simplify 1 into 1
7.014 * [backup-simplify]: Simplify (/ 1 1) into 1
7.014 * [taylor]: Taking taylor expansion of 1.0 in N
7.014 * [backup-simplify]: Simplify 1.0 into 1.0
7.014 * [taylor]: Taking taylor expansion of N in N
7.014 * [backup-simplify]: Simplify 0 into 0
7.014 * [backup-simplify]: Simplify 1 into 1
7.014 * [backup-simplify]: Simplify (+ 1 0) into 1
7.014 * [backup-simplify]: Simplify (/ 1 1) into 1
7.015 * [backup-simplify]: Simplify 1 into 1
7.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.015 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.016 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
7.016 * [backup-simplify]: Simplify 1.0 into 1.0
7.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.017 * [backup-simplify]: Simplify (+ 0 0) into 0
7.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
7.018 * [backup-simplify]: Simplify 0 into 0
7.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.019 * [backup-simplify]: Simplify (+ 0 0) into 0
7.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.020 * [backup-simplify]: Simplify (+ 0 0) into 0
7.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.021 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.022 * [backup-simplify]: Simplify (+ 0 0) into 0
7.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.023 * [backup-simplify]: Simplify 0 into 0
7.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.023 * [backup-simplify]: Simplify (+ 0 0) into 0
7.024 * [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
7.024 * [backup-simplify]: Simplify 0 into 0
7.025 * [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
7.025 * [backup-simplify]: Simplify (+ 0 0) into 0
7.025 * [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
7.025 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N))
7.026 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- N)) 1.0)) (* (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
7.026 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
7.026 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
7.026 * [taylor]: Taking taylor expansion of -1 in N
7.026 * [backup-simplify]: Simplify -1 into -1
7.026 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
7.026 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
7.026 * [taylor]: Taking taylor expansion of 1.0 in N
7.026 * [backup-simplify]: Simplify 1.0 into 1.0
7.026 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.026 * [taylor]: Taking taylor expansion of N in N
7.026 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify 1 into 1
7.026 * [backup-simplify]: Simplify (/ 1 1) into 1
7.026 * [taylor]: Taking taylor expansion of N in N
7.026 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify 1 into 1
7.027 * [backup-simplify]: Simplify (- 1) into -1
7.027 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.027 * [backup-simplify]: Simplify (/ -1 1) into -1
7.027 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
7.027 * [taylor]: Taking taylor expansion of -1 in N
7.027 * [backup-simplify]: Simplify -1 into -1
7.027 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
7.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
7.027 * [taylor]: Taking taylor expansion of 1.0 in N
7.027 * [backup-simplify]: Simplify 1.0 into 1.0
7.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.027 * [taylor]: Taking taylor expansion of N in N
7.027 * [backup-simplify]: Simplify 0 into 0
7.027 * [backup-simplify]: Simplify 1 into 1
7.028 * [backup-simplify]: Simplify (/ 1 1) into 1
7.028 * [taylor]: Taking taylor expansion of N in N
7.028 * [backup-simplify]: Simplify 0 into 0
7.028 * [backup-simplify]: Simplify 1 into 1
7.028 * [backup-simplify]: Simplify (- 1) into -1
7.028 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.028 * [backup-simplify]: Simplify (/ -1 1) into -1
7.029 * [backup-simplify]: Simplify (* -1 -1) into 1
7.029 * [backup-simplify]: Simplify 1 into 1
7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.029 * [backup-simplify]: Simplify (- 0) into 0
7.030 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.031 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
7.032 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
7.032 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
7.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.033 * [backup-simplify]: Simplify (- 0) into 0
7.033 * [backup-simplify]: Simplify (+ 0 0) into 0
7.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
7.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
7.034 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.035 * [backup-simplify]: Simplify (- 0) into 0
7.035 * [backup-simplify]: Simplify (+ 0 0) into 0
7.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.037 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
7.037 * [backup-simplify]: Simplify 0 into 0
7.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.037 * [backup-simplify]: Simplify (- 0) into 0
7.038 * [backup-simplify]: Simplify (+ 0 0) into 0
7.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.039 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
7.039 * [backup-simplify]: Simplify 0 into 0
7.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.040 * [backup-simplify]: Simplify (- 0) into 0
7.040 * [backup-simplify]: Simplify (+ 0 0) into 0
7.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.042 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
7.042 * [backup-simplify]: Simplify 0 into 0
7.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.042 * [backup-simplify]: Simplify (- 0) into 0
7.043 * [backup-simplify]: Simplify (+ 0 0) into 0
7.043 * [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
7.044 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
7.044 * [backup-simplify]: Simplify 0 into 0
7.045 * [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
7.045 * [backup-simplify]: Simplify (- 0) into 0
7.045 * [backup-simplify]: Simplify (+ 0 0) into 0
7.046 * [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
7.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
7.047 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N))
7.048 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2)
7.048 * [backup-simplify]: Simplify (* (sqrt (+ N 1.0)) N) into (* N (sqrt (+ N 1.0)))
7.048 * [approximate]: Taking taylor expansion of (* N (sqrt (+ N 1.0))) in (N) around 0
7.048 * [taylor]: Taking taylor expansion of (* N (sqrt (+ N 1.0))) in N
7.048 * [taylor]: Taking taylor expansion of N in N
7.048 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify 1 into 1
7.048 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N
7.048 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
7.048 * [taylor]: Taking taylor expansion of N in N
7.048 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify 1 into 1
7.048 * [taylor]: Taking taylor expansion of 1.0 in N
7.048 * [backup-simplify]: Simplify 1.0 into 1.0
7.049 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.049 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
7.049 * [backup-simplify]: Simplify (+ 1 0) into 1
7.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0))
7.050 * [taylor]: Taking taylor expansion of (* N (sqrt (+ N 1.0))) in N
7.050 * [taylor]: Taking taylor expansion of N in N
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify 1 into 1
7.050 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N
7.050 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
7.050 * [taylor]: Taking taylor expansion of N in N
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify 1 into 1
7.050 * [taylor]: Taking taylor expansion of 1.0 in N
7.050 * [backup-simplify]: Simplify 1.0 into 1.0
7.051 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.051 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
7.051 * [backup-simplify]: Simplify (+ 1 0) into 1
7.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0))
7.053 * [backup-simplify]: Simplify (* 0 (sqrt 1.0)) into 0
7.053 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 1 (sqrt 1.0))) into (sqrt 1.0)
7.054 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
7.055 * [backup-simplify]: Simplify (+ 0 0) into 0
7.059 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3))
7.062 * [backup-simplify]: Simplify (+ (* 0 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (* 1/2 (/ 1 (sqrt 1.0)))
7.063 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0))
7.063 * [backup-simplify]: Simplify (+ 0 0) into 0
7.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt 1.0)) (/ -1/8 (pow (sqrt 1.0) 3)))))) (* 2 (sqrt 1.0))) into (/ 1/16 (pow (sqrt 1.0) 5))
7.079 * [backup-simplify]: Simplify (+ (* 0 (/ 1/16 (pow (sqrt 1.0) 5))) (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))
7.081 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))
7.085 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow N 3)) (+ (* (/ 1/2 (sqrt 1.0)) (pow N 2)) (* (sqrt 1.0) N))) into (- (+ (* N (sqrt 1.0)) (* 1/2 (/ (pow N 2) (sqrt 1.0)))) (* 1/8 (/ (pow N 3) (pow (sqrt 1.0) 3))))
7.085 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)) into (* (/ 1 N) (sqrt (+ (/ 1 N) 1.0)))
7.085 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ (/ 1 N) 1.0))) in (N) around 0
7.085 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ (/ 1 N) 1.0))) in N
7.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.085 * [taylor]: Taking taylor expansion of N in N
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify (/ 1 1) into 1
7.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N
7.085 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
7.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.085 * [taylor]: Taking taylor expansion of N in N
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify (/ 1 1) into 1
7.086 * [taylor]: Taking taylor expansion of 1.0 in N
7.086 * [backup-simplify]: Simplify 1.0 into 1.0
7.086 * [backup-simplify]: Simplify (+ 1 0) into 1
7.086 * [backup-simplify]: Simplify (sqrt 0) into 0
7.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.087 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ (/ 1 N) 1.0))) in N
7.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.087 * [taylor]: Taking taylor expansion of N in N
7.087 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify 1 into 1
7.087 * [backup-simplify]: Simplify (/ 1 1) into 1
7.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N
7.087 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
7.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.087 * [taylor]: Taking taylor expansion of N in N
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 1 into 1
7.088 * [backup-simplify]: Simplify (/ 1 1) into 1
7.088 * [taylor]: Taking taylor expansion of 1.0 in N
7.088 * [backup-simplify]: Simplify 1.0 into 1.0
7.088 * [backup-simplify]: Simplify (+ 1 0) into 1
7.088 * [backup-simplify]: Simplify (sqrt 0) into 0
7.089 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.089 * [backup-simplify]: Simplify (* 1 0) into 0
7.089 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.091 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 0 0)) into (- +nan.0)
7.091 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.092 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.094 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.095 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
7.096 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.096 * [backup-simplify]: Simplify (+ 0 0) into 0
7.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.101 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
7.101 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.102 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 N)) (+ (- +nan.0) (* (- +nan.0) (/ 1 (/ 1 N))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0)))))
7.102 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))) into (* -1 (* (/ 1 N) (sqrt (- 1.0 (/ 1 N)))))
7.102 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 N) (sqrt (- 1.0 (/ 1 N))))) in (N) around 0
7.102 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 N) (sqrt (- 1.0 (/ 1 N))))) in N
7.102 * [taylor]: Taking taylor expansion of -1 in N
7.102 * [backup-simplify]: Simplify -1 into -1
7.102 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (- 1.0 (/ 1 N)))) in N
7.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.102 * [taylor]: Taking taylor expansion of N in N
7.102 * [backup-simplify]: Simplify 0 into 0
7.102 * [backup-simplify]: Simplify 1 into 1
7.102 * [backup-simplify]: Simplify (/ 1 1) into 1
7.102 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N
7.102 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
7.102 * [taylor]: Taking taylor expansion of 1.0 in N
7.102 * [backup-simplify]: Simplify 1.0 into 1.0
7.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.102 * [taylor]: Taking taylor expansion of N in N
7.102 * [backup-simplify]: Simplify 0 into 0
7.102 * [backup-simplify]: Simplify 1 into 1
7.103 * [backup-simplify]: Simplify (/ 1 1) into 1
7.103 * [backup-simplify]: Simplify (- 1) into -1
7.103 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.103 * [backup-simplify]: Simplify (sqrt 0) into 0
7.104 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.104 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 N) (sqrt (- 1.0 (/ 1 N))))) in N
7.104 * [taylor]: Taking taylor expansion of -1 in N
7.104 * [backup-simplify]: Simplify -1 into -1
7.104 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (- 1.0 (/ 1 N)))) in N
7.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.104 * [taylor]: Taking taylor expansion of N in N
7.104 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify 1 into 1
7.105 * [backup-simplify]: Simplify (/ 1 1) into 1
7.105 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N
7.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
7.105 * [taylor]: Taking taylor expansion of 1.0 in N
7.105 * [backup-simplify]: Simplify 1.0 into 1.0
7.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.105 * [taylor]: Taking taylor expansion of N in N
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify 1 into 1
7.105 * [backup-simplify]: Simplify (/ 1 1) into 1
7.105 * [backup-simplify]: Simplify (- 1) into -1
7.106 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.106 * [backup-simplify]: Simplify (sqrt 0) into 0
7.107 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.107 * [backup-simplify]: Simplify (* 1 0) into 0
7.107 * [backup-simplify]: Simplify (* -1 0) into 0
7.107 * [backup-simplify]: Simplify 0 into 0
7.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.109 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 0 0)) into (- +nan.0)
7.110 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0)
7.110 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.111 * [backup-simplify]: Simplify (- 0) into 0
7.111 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.113 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.115 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
7.116 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0)
7.117 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.117 * [backup-simplify]: Simplify (- 0) into 0
7.118 * [backup-simplify]: Simplify (+ 0 0) into 0
7.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.122 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
7.123 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0)
7.124 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.124 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* (- +nan.0) (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0)))))
7.124 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1)
7.125 * [backup-simplify]: Simplify (sqrt (+ N 1.0)) into (sqrt (+ N 1.0))
7.125 * [approximate]: Taking taylor expansion of (sqrt (+ N 1.0)) in (N) around 0
7.125 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N
7.125 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
7.125 * [taylor]: Taking taylor expansion of N in N
7.125 * [backup-simplify]: Simplify 0 into 0
7.125 * [backup-simplify]: Simplify 1 into 1
7.125 * [taylor]: Taking taylor expansion of 1.0 in N
7.125 * [backup-simplify]: Simplify 1.0 into 1.0
7.125 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.125 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
7.125 * [backup-simplify]: Simplify (+ 1 0) into 1
7.126 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0))
7.126 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N
7.126 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
7.127 * [taylor]: Taking taylor expansion of N in N
7.127 * [backup-simplify]: Simplify 0 into 0
7.127 * [backup-simplify]: Simplify 1 into 1
7.127 * [taylor]: Taking taylor expansion of 1.0 in N
7.127 * [backup-simplify]: Simplify 1.0 into 1.0
7.127 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.127 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
7.127 * [backup-simplify]: Simplify (+ 1 0) into 1
7.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0))
7.129 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
7.129 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0))
7.129 * [backup-simplify]: Simplify (+ 0 0) into 0
7.133 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3))
7.134 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3))
7.136 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow N 2)) (+ (* (/ 1/2 (sqrt 1.0)) N) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ N (sqrt 1.0)))) (* 1/8 (/ (pow N 2) (pow (sqrt 1.0) 3))))
7.136 * [backup-simplify]: Simplify (sqrt (+ (/ 1 N) 1.0)) into (sqrt (+ (/ 1 N) 1.0))
7.136 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in (N) around 0
7.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N
7.136 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
7.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.136 * [taylor]: Taking taylor expansion of N in N
7.136 * [backup-simplify]: Simplify 0 into 0
7.136 * [backup-simplify]: Simplify 1 into 1
7.136 * [backup-simplify]: Simplify (/ 1 1) into 1
7.136 * [taylor]: Taking taylor expansion of 1.0 in N
7.136 * [backup-simplify]: Simplify 1.0 into 1.0
7.137 * [backup-simplify]: Simplify (+ 1 0) into 1
7.137 * [backup-simplify]: Simplify (sqrt 0) into 0
7.138 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N
7.138 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
7.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.138 * [taylor]: Taking taylor expansion of N in N
7.138 * [backup-simplify]: Simplify 0 into 0
7.138 * [backup-simplify]: Simplify 1 into 1
7.138 * [backup-simplify]: Simplify (/ 1 1) into 1
7.138 * [taylor]: Taking taylor expansion of 1.0 in N
7.138 * [backup-simplify]: Simplify 1.0 into 1.0
7.138 * [backup-simplify]: Simplify (+ 1 0) into 1
7.138 * [backup-simplify]: Simplify (sqrt 0) into 0
7.139 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.140 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.142 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.142 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.142 * [backup-simplify]: Simplify (+ 0 0) into 0
7.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.145 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.145 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0)))))
7.145 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- N)) 1.0)) into (sqrt (- 1.0 (/ 1 N)))
7.145 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in (N) around 0
7.145 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N
7.145 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
7.145 * [taylor]: Taking taylor expansion of 1.0 in N
7.145 * [backup-simplify]: Simplify 1.0 into 1.0
7.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.145 * [taylor]: Taking taylor expansion of N in N
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify 1 into 1
7.145 * [backup-simplify]: Simplify (/ 1 1) into 1
7.146 * [backup-simplify]: Simplify (- 1) into -1
7.146 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.146 * [backup-simplify]: Simplify (sqrt 0) into 0
7.147 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.147 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N
7.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
7.147 * [taylor]: Taking taylor expansion of 1.0 in N
7.147 * [backup-simplify]: Simplify 1.0 into 1.0
7.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.147 * [taylor]: Taking taylor expansion of N in N
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify 1 into 1
7.147 * [backup-simplify]: Simplify (/ 1 1) into 1
7.148 * [backup-simplify]: Simplify (- 1) into -1
7.148 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.148 * [backup-simplify]: Simplify (sqrt 0) into 0
7.149 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.149 * [backup-simplify]: Simplify 0 into 0
7.149 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.150 * [backup-simplify]: Simplify (- 0) into 0
7.150 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.152 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.152 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.153 * [backup-simplify]: Simplify (- 0) into 0
7.153 * [backup-simplify]: Simplify (+ 0 0) into 0
7.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.156 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.156 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0)))))
7.156 * * * [progress]: simplifying candidates
7.161 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))
  (exp (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))
  (* (cbrt (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N))))))
  (cbrt (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))
  (* (* (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))
  (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N))
  (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N))
  (+ (log (sqrt (+ N 1.0))) (+ (log (sqrt (+ N 1.0))) (log N)))
  (+ (log (sqrt (+ N 1.0))) (log (* (sqrt (+ N 1.0)) N)))
  (log (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))
  (exp (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))
  (* (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N)))
  (* (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* (* (sqrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N)) (* (sqrt (+ N 1.0)) N)))
  (* (cbrt (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N))) (cbrt (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N))))
  (cbrt (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))
  (* (* (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)) (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N))) (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))
  (sqrt (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))
  (sqrt (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))
  (* (sqrt (+ (pow N 3) (pow 1.0 3))) (* (sqrt (+ (pow N 3) (pow 1.0 3))) N))
  (* (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))
  (* (sqrt (+ (pow N 3) (pow 1.0 3))) (* (sqrt (- (* N N) (* 1.0 1.0))) N))
  (* (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (sqrt (- N 1.0)))
  (* (sqrt (- (* N N) (* 1.0 1.0))) (* (sqrt (+ (pow N 3) (pow 1.0 3))) N))
  (* (sqrt (- N 1.0)) (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))
  (* (sqrt (- (* N N) (* 1.0 1.0))) (* (sqrt (- (* N N) (* 1.0 1.0))) N))
  (* (sqrt (- N 1.0)) (sqrt (- N 1.0)))
  (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0)))
  (* (cbrt (sqrt (+ N 1.0))) (* (sqrt (+ N 1.0)) N))
  (* (sqrt (cbrt (+ N 1.0))) (* (sqrt (+ N 1.0)) N))
  (* (sqrt (sqrt (+ N 1.0))) (* (sqrt (+ N 1.0)) N))
  (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N))
  (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N))
  (* (sqrt (sqrt (+ N 1.0))) (* (sqrt (+ N 1.0)) N))
  (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N))
  (* (sqrt (+ N 1.0)) (* (sqrt (+ (pow N 3) (pow 1.0 3))) N))
  (* (sqrt (+ N 1.0)) (* (sqrt (- (* N N) (* 1.0 1.0))) N))
  (* (sqrt (+ (pow N 3) (pow 1.0 3))) (* (sqrt (+ N 1.0)) N))
  (* (sqrt (- (* N N) (* 1.0 1.0))) (* (sqrt (+ N 1.0)) N))
  (* (sqrt (+ N 1.0)) N)
  (+ (log (sqrt (+ N 1.0))) (log N))
  (log (* (sqrt (+ N 1.0)) N))
  (exp (* (sqrt (+ N 1.0)) N))
  (* (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N))
  (* (cbrt (* (sqrt (+ N 1.0)) N)) (cbrt (* (sqrt (+ N 1.0)) N)))
  (cbrt (* (sqrt (+ N 1.0)) N))
  (* (* (* (sqrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N)) (* (sqrt (+ N 1.0)) N))
  (sqrt (* (sqrt (+ N 1.0)) N))
  (sqrt (* (sqrt (+ N 1.0)) N))
  (* (sqrt (sqrt (+ N 1.0))) (sqrt N))
  (* (sqrt (sqrt (+ N 1.0))) (sqrt N))
  (* (sqrt (sqrt (+ N 1.0))) (sqrt N))
  (* (sqrt (sqrt (+ N 1.0))) (sqrt N))
  (* (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) 1)
  (* (cbrt (sqrt (+ N 1.0))) N)
  (* (sqrt (cbrt (+ N 1.0))) N)
  (* (sqrt (sqrt (+ N 1.0))) N)
  (* (sqrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (sqrt (sqrt (+ N 1.0))) N)
  (* (sqrt (+ N 1.0)) N)
  (* (sqrt (+ (pow N 3) (pow 1.0 3))) N)
  (* (sqrt (- (* N N) (* 1.0 1.0))) N)
  (log (sqrt (+ N 1.0)))
  (exp (sqrt (+ N 1.0)))
  (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))
  (cbrt (sqrt (+ N 1.0)))
  (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0)))
  (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (sqrt (cbrt (+ N 1.0)))
  (sqrt (sqrt (+ N 1.0)))
  (sqrt (sqrt (+ N 1.0)))
  (sqrt 1)
  (sqrt (+ N 1.0))
  (sqrt 1)
  (sqrt (+ N 1.0))
  (sqrt (+ (pow N 3) (pow 1.0 3)))
  (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (sqrt (- (* N N) (* 1.0 1.0)))
  (sqrt (- N 1.0))
  (/ 1 2)
  (sqrt (sqrt (+ N 1.0)))
  (sqrt (sqrt (+ N 1.0)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
  (- (+ (* N (sqrt 1.0)) (* 1/2 (/ (pow N 2) (sqrt 1.0)))) (* 1/8 (/ (pow N 3) (pow (sqrt 1.0) 3))))
  (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0)))))
  (- (+ (sqrt 1.0) (* 1/2 (/ N (sqrt 1.0)))) (* 1/8 (/ (pow N 2) (pow (sqrt 1.0) 3))))
  (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0)))))
8.603 * * * [progress]: adding candidates to table
8.790 * [progress]: [Phase 3 of 3] Extracting.
8.790 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ 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))))>)
8.791 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N)
8.791 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ 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))))>)
8.810 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ 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))))>)
8.827 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
8.828 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
10.402 * [regime-testing]: Baseline error score: 0.3948293235786494
10.405 * [regime-testing]: Oracle error score: 0.3702012450688356
10.410 * [regime-testing]: End program error score: 0.3948293235786494
10.434 * [regime-testing]: Target error score: 0.39720462049076344