26.580 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.034 * * * [progress]: [2/2] Setting up program.
0.040 * [progress]: [Phase 2 of 3] Improving.
0.041 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.041 * * [simplify]: iteration 0: 6 enodes
0.043 * * [simplify]: iteration 1: 9 enodes
0.045 * * [simplify]: iteration 2: 10 enodes
0.047 * * [simplify]: iteration complete: 10 enodes
0.047 * * [simplify]: Extracting #0: cost 1 inf + 0
0.047 * * [simplify]: Extracting #1: cost 4 inf + 0
0.047 * * [simplify]: Extracting #2: cost 6 inf + 0
0.047 * * [simplify]: Extracting #3: cost 6 inf + 1
0.047 * * [simplify]: Extracting #4: cost 0 inf + 735
0.048 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.049 * * [progress]: iteration 1 / 4
0.049 * * * [progress]: picking best candidate
0.055 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.055 * * * [progress]: localizing error
0.071 * * * [progress]: generating rewritten candidates
0.071 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.083 * * * [progress]: generating series expansions
0.083 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.084 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.084 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.084 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.084 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.084 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.084 * [taylor]: Taking taylor expansion of (atan N) in N
0.084 * [backup-simplify]: Simplify (atan N) into (atan N)
0.084 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.084 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.084 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.084 * [taylor]: Taking taylor expansion of (atan N) in N
0.084 * [backup-simplify]: Simplify (atan N) into (atan N)
0.085 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.085 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.085 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.085 * [backup-simplify]: Simplify (- 0) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify (- 0) into 0
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify (- 0) into 0
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [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
0.089 * [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 (- (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)))
0.092 * [backup-simplify]: Simplify (- 0) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.093 * [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
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (- 0) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
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
0.097 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.097 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.097 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.097 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.097 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.097 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.097 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.097 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.097 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.097 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.097 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.097 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.097 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.098 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.098 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.098 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.098 * [backup-simplify]: Simplify (- 0) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (- 0) into 0
0.100 * [backup-simplify]: Simplify (+ 0 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 0) into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- 0) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- 0) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (- 0) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.102 * * * [progress]: simplifying candidates
0.103 * [simplify]: Simplifying:
  (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma 1 (atan (+ N 1.0)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma 1 (atan (+ N 1.0)) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma 1 (atan (+ N 1.0)) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (expm1 (- (atan (+ N 1.0)) (atan N)))
  (log1p (- (atan (+ N 1.0)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  (- (+ N 1.0) N)
  (+ 1 (* (+ N 1.0) N))
  (/ (exp (atan (+ N 1.0))) (exp (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
0.103 * * [simplify]: iteration 0: 62 enodes
0.125 * * [simplify]: iteration 1: 136 enodes
0.163 * * [simplify]: iteration 2: 287 enodes
0.289 * * [simplify]: iteration 3: 737 enodes
0.795 * * [simplify]: iteration 4: 2162 enodes
2.176 * * [simplify]: iteration complete: 5000 enodes
2.176 * * [simplify]: Extracting #0: cost 19 inf + 0
2.177 * * [simplify]: Extracting #1: cost 272 inf + 2
2.180 * * [simplify]: Extracting #2: cost 914 inf + 2028
2.192 * * [simplify]: Extracting #3: cost 1027 inf + 44906
2.226 * * [simplify]: Extracting #4: cost 595 inf + 265111
2.307 * * [simplify]: Extracting #5: cost 54 inf + 542902
2.411 * * [simplify]: Extracting #6: cost 0 inf + 576098
2.545 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (expm1 (- (atan (+ 1.0 N)) (atan N)))
  (log1p (- (atan (+ 1.0 N)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  1.0
  (fma N (+ 1.0 N) 1)
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (log (- (atan (+ 1.0 N)) (atan N)))
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N))))
  (cbrt (- (atan (+ 1.0 N)) (atan N)))
  (* (- (atan (+ 1.0 N)) (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N))))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (- (* (atan (+ 1.0 N)) (* (atan (+ 1.0 N)) (atan (+ 1.0 N)))) (* (* (atan N) (atan N)) (atan N)))
  (fma (atan N) (atan N) (* (atan (+ 1.0 N)) (+ (atan (+ 1.0 N)) (atan N))))
  (- (atan N))
  (- (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (* (atan N) (atan N)))
  (+ (atan (+ 1.0 N)) (atan N))
  (+ (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
2.547 * * * [progress]: adding candidates to table
2.666 * * [progress]: iteration 2 / 4
2.667 * * * [progress]: picking best candidate
2.670 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))>
2.671 * * * [progress]: localizing error
2.678 * * * [progress]: generating rewritten candidates
2.678 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
2.679 * * * [progress]: generating series expansions
2.679 * * * * [progress]: [ 1 / 1 ] generating series at (2)
2.679 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.679 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
2.679 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
2.679 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.679 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
2.679 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.679 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.679 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
2.679 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
2.679 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
2.679 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
2.680 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
2.680 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
2.680 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.680 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
2.680 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
2.680 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
2.680 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
2.680 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
2.680 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
2.681 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.681 * * * [progress]: simplifying candidates
2.681 * [simplify]: Simplifying:
  (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log1p (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (exp (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
2.681 * * [simplify]: iteration 0: 18 enodes
2.684 * * [simplify]: iteration 1: 25 enodes
2.687 * * [simplify]: iteration 2: 37 enodes
2.692 * * [simplify]: iteration 3: 61 enodes
2.700 * * [simplify]: iteration 4: 82 enodes
2.717 * * [simplify]: iteration 5: 101 enodes
2.729 * * [simplify]: iteration 6: 131 enodes
2.746 * * [simplify]: iteration 7: 205 enodes
2.799 * * [simplify]: iteration 8: 427 enodes
3.090 * * [simplify]: iteration 9: 1219 enodes
4.625 * * [simplify]: iteration complete: 5001 enodes
4.626 * * [simplify]: Extracting #0: cost 9 inf + 0
4.626 * * [simplify]: Extracting #1: cost 219 inf + 0
4.629 * * [simplify]: Extracting #2: cost 1288 inf + 4
4.635 * * [simplify]: Extracting #3: cost 1346 inf + 283
4.641 * * [simplify]: Extracting #4: cost 1326 inf + 17995
4.694 * * [simplify]: Extracting #5: cost 768 inf + 552117
4.830 * * [simplify]: Extracting #6: cost 32 inf + 1394555
4.981 * * [simplify]: Extracting #7: cost 0 inf + 1425476
5.129 * [simplify]: Simplified to:
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
5.129 * * * [progress]: adding candidates to table
5.170 * * [progress]: iteration 3 / 4
5.170 * * * [progress]: picking best candidate
5.183 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))>
5.183 * * * [progress]: localizing error
5.201 * * * [progress]: generating rewritten candidates
5.201 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
5.202 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
5.203 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
5.214 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
5.216 * * * [progress]: generating series expansions
5.216 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
5.216 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.216 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
5.216 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
5.216 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.216 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.216 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.217 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
5.217 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.217 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.217 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.217 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.217 * [backup-simplify]: Simplify 0 into 0
5.218 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.218 * [backup-simplify]: Simplify 0 into 0
5.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.219 * [backup-simplify]: Simplify 0 into 0
5.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.219 * [backup-simplify]: Simplify 0 into 0
5.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.220 * [backup-simplify]: Simplify 0 into 0
5.221 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.221 * [backup-simplify]: Simplify 0 into 0
5.221 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.221 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.221 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
5.221 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
5.221 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.221 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.221 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.221 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
5.221 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.221 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.222 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.222 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.222 * [backup-simplify]: Simplify 0 into 0
5.222 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.222 * [backup-simplify]: Simplify 0 into 0
5.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.223 * [backup-simplify]: Simplify 0 into 0
5.224 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.224 * [backup-simplify]: Simplify 0 into 0
5.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.224 * [backup-simplify]: Simplify 0 into 0
5.225 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.225 * [backup-simplify]: Simplify 0 into 0
5.225 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.225 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.225 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
5.225 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
5.225 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.225 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.225 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.226 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
5.226 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.226 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.226 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.226 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.226 * [backup-simplify]: Simplify 0 into 0
5.227 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.227 * [backup-simplify]: Simplify 0 into 0
5.227 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.227 * [backup-simplify]: Simplify 0 into 0
5.228 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.228 * [backup-simplify]: Simplify 0 into 0
5.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.229 * [backup-simplify]: Simplify 0 into 0
5.229 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.229 * [backup-simplify]: Simplify 0 into 0
5.229 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
5.230 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.230 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
5.230 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
5.230 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.230 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.230 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.230 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
5.230 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.230 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.230 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.230 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.230 * [backup-simplify]: Simplify 0 into 0
5.231 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.231 * [backup-simplify]: Simplify 0 into 0
5.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.231 * [backup-simplify]: Simplify 0 into 0
5.232 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.232 * [backup-simplify]: Simplify 0 into 0
5.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.233 * [backup-simplify]: Simplify 0 into 0
5.233 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.233 * [backup-simplify]: Simplify 0 into 0
5.233 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.234 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.234 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
5.234 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
5.234 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.234 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.234 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.234 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
5.234 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.234 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.234 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.235 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.235 * [backup-simplify]: Simplify 0 into 0
5.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.235 * [backup-simplify]: Simplify 0 into 0
5.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.236 * [backup-simplify]: Simplify 0 into 0
5.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.237 * [backup-simplify]: Simplify 0 into 0
5.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.237 * [backup-simplify]: Simplify 0 into 0
5.238 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.238 * [backup-simplify]: Simplify 0 into 0
5.238 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.238 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.238 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
5.238 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
5.238 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.239 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.239 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.239 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
5.239 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.239 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.239 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.239 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.240 * [backup-simplify]: Simplify 0 into 0
5.240 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.240 * [backup-simplify]: Simplify 0 into 0
5.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.242 * [backup-simplify]: Simplify 0 into 0
5.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.242 * [backup-simplify]: Simplify 0 into 0
5.243 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.243 * [backup-simplify]: Simplify 0 into 0
5.243 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.243 * * * * [progress]: [ 3 / 4 ] generating series at (2)
5.243 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.243 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
5.243 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.243 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.243 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.243 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.244 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.244 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.244 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
5.244 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.244 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.244 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.244 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.244 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.245 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.245 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
5.245 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.245 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.245 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.245 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.245 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.246 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
5.246 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.246 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
5.246 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.246 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.246 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.246 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.246 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.246 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.246 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
5.246 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.247 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.247 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.247 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.247 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.247 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.247 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
5.247 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.247 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.247 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.247 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.248 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.248 * * * [progress]: simplifying candidates
5.249 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (log1p (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (log (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (exp (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (cbrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) 1)
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log1p (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (exp (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
5.251 * * [simplify]: iteration 0: 67 enodes
5.267 * * [simplify]: iteration 1: 122 enodes
5.296 * * [simplify]: iteration 2: 252 enodes
5.388 * * [simplify]: iteration 3: 669 enodes
6.431 * * [simplify]: iteration 4: 3998 enodes
7.944 * * [simplify]: iteration complete: 5000 enodes
7.944 * * [simplify]: Extracting #0: cost 28 inf + 0
7.945 * * [simplify]: Extracting #1: cost 393 inf + 3
7.950 * * [simplify]: Extracting #2: cost 889 inf + 156
7.960 * * [simplify]: Extracting #3: cost 917 inf + 342
7.965 * * [simplify]: Extracting #4: cost 894 inf + 3966
7.976 * * [simplify]: Extracting #5: cost 758 inf + 55364
8.028 * * [simplify]: Extracting #6: cost 232 inf + 287875
8.118 * * [simplify]: Extracting #7: cost 7 inf + 393955
8.209 * * [simplify]: Extracting #8: cost 0 inf + 397508
8.300 * [simplify]: Simplified to:
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  1
  2
  1
  1
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))
  2
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  2
  1
  (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
8.304 * * * [progress]: adding candidates to table
8.580 * * [progress]: iteration 4 / 4
8.580 * * * [progress]: picking best candidate
8.596 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))>
8.596 * * * [progress]: localizing error
8.624 * * * [progress]: generating rewritten candidates
8.625 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
8.626 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
8.627 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
8.628 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
8.632 * * * [progress]: generating series expansions
8.632 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
8.633 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.633 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
8.633 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
8.633 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
8.633 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.633 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.633 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
8.633 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
8.633 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.633 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.633 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.633 * [backup-simplify]: Simplify 0 into 0
8.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.634 * [backup-simplify]: Simplify 0 into 0
8.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.635 * [backup-simplify]: Simplify 0 into 0
8.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.635 * [backup-simplify]: Simplify 0 into 0
8.636 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.636 * [backup-simplify]: Simplify 0 into 0
8.637 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.637 * [backup-simplify]: Simplify 0 into 0
8.637 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.637 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.637 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
8.637 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.637 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.637 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
8.637 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.637 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.637 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.637 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
8.638 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.638 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.638 * [backup-simplify]: Simplify 0 into 0
8.639 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.639 * [backup-simplify]: Simplify 0 into 0
8.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.639 * [backup-simplify]: Simplify 0 into 0
8.640 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.640 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.641 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.642 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
8.642 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.642 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.642 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
8.642 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.642 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.642 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.642 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
8.642 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.642 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.642 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.643 * [backup-simplify]: Simplify 0 into 0
8.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.644 * [backup-simplify]: Simplify 0 into 0
8.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.644 * [backup-simplify]: Simplify 0 into 0
8.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.645 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.646 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.646 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
8.646 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.646 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
8.646 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
8.646 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
8.646 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.646 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.646 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
8.646 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
8.646 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.646 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.647 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.647 * [backup-simplify]: Simplify 0 into 0
8.647 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.647 * [backup-simplify]: Simplify 0 into 0
8.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.648 * [backup-simplify]: Simplify 0 into 0
8.648 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.648 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.649 * [backup-simplify]: Simplify 0 into 0
8.650 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.650 * [backup-simplify]: Simplify 0 into 0
8.650 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.650 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.650 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
8.650 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.650 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.650 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
8.650 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.650 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.650 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.650 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
8.651 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.651 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.651 * [backup-simplify]: Simplify 0 into 0
8.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.651 * [backup-simplify]: Simplify 0 into 0
8.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.652 * [backup-simplify]: Simplify 0 into 0
8.653 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.653 * [backup-simplify]: Simplify 0 into 0
8.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.653 * [backup-simplify]: Simplify 0 into 0
8.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.654 * [backup-simplify]: Simplify 0 into 0
8.654 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.654 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.654 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
8.654 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.654 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.655 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
8.655 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.655 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.655 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.655 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
8.655 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.655 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.655 * [backup-simplify]: Simplify 0 into 0
8.656 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.656 * [backup-simplify]: Simplify 0 into 0
8.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.657 * [backup-simplify]: Simplify 0 into 0
8.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.657 * [backup-simplify]: Simplify 0 into 0
8.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.658 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.659 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
8.659 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.659 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
8.659 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
8.659 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
8.659 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.659 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.659 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
8.659 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
8.659 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.659 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.660 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.660 * [backup-simplify]: Simplify 0 into 0
8.660 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.660 * [backup-simplify]: Simplify 0 into 0
8.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.661 * [backup-simplify]: Simplify 0 into 0
8.661 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.661 * [backup-simplify]: Simplify 0 into 0
8.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.662 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.663 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.663 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
8.663 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.663 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.663 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
8.663 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.663 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.663 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.663 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
8.664 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.664 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
8.664 * [backup-simplify]: Simplify 0 into 0
8.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.664 * [backup-simplify]: Simplify 0 into 0
8.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.665 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.666 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.666 * [backup-simplify]: Simplify 0 into 0
8.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
8.667 * [backup-simplify]: Simplify 0 into 0
8.667 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.667 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.667 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
8.667 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.667 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.667 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
8.667 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.668 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.668 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.668 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
8.668 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.668 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
8.668 * [backup-simplify]: Simplify 0 into 0
8.669 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.669 * [backup-simplify]: Simplify 0 into 0
8.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.669 * [backup-simplify]: Simplify 0 into 0
8.670 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.670 * [backup-simplify]: Simplify 0 into 0
8.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.671 * [backup-simplify]: Simplify 0 into 0
8.671 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
8.671 * [backup-simplify]: Simplify 0 into 0
8.671 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
8.671 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.672 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
8.672 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.672 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
8.672 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
8.672 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
8.672 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
8.673 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.673 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
8.673 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
8.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.673 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
8.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.673 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
8.673 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.674 * [backup-simplify]: Simplify 0 into 0
8.674 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
8.674 * * * [progress]: simplifying candidates
8.674 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log1p (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (exp (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
8.675 * * [simplify]: iteration 0: 33 enodes
8.680 * * [simplify]: iteration 1: 46 enodes
8.686 * * [simplify]: iteration 2: 69 enodes
8.697 * * [simplify]: iteration 3: 106 enodes
8.711 * * [simplify]: iteration 4: 151 enodes
8.739 * * [simplify]: iteration 5: 256 enodes
8.801 * * [simplify]: iteration 6: 608 enodes
9.033 * * [simplify]: iteration 7: 1528 enodes
9.900 * * [simplify]: iteration complete: 5000 enodes
9.901 * * [simplify]: Extracting #0: cost 21 inf + 0
9.901 * * [simplify]: Extracting #1: cost 325 inf + 2
9.905 * * [simplify]: Extracting #2: cost 1229 inf + 8
9.910 * * [simplify]: Extracting #3: cost 1324 inf + 1827
9.917 * * [simplify]: Extracting #4: cost 1239 inf + 10742
9.935 * * [simplify]: Extracting #5: cost 902 inf + 180848
10.012 * * [simplify]: Extracting #6: cost 195 inf + 740840
10.126 * * [simplify]: Extracting #7: cost 29 inf + 887927
10.253 * * [simplify]: Extracting #8: cost 0 inf + 914245
10.382 * * [simplify]: Extracting #9: cost 0 inf + 913613
10.510 * [simplify]: Simplified to:
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
10.515 * * * [progress]: adding candidates to table
10.755 * [progress]: [Phase 3 of 3] Extracting.
10.755 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))> #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (cbrt (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))))>)
10.756 * * * [regime-changes]: Trying 1 branch expressions: (N)
10.756 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))> #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (cbrt (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))))>)
10.799 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
10.800 * [simplify]: Simplifying:
  (atan2 1.0 (fma N (+ 1.0 N) 1))
10.800 * * [simplify]: iteration 0: 6 enodes
10.800 * * [simplify]: iteration 1: 9 enodes
10.800 * * [simplify]: iteration complete: 9 enodes
10.800 * * [simplify]: Extracting #0: cost 1 inf + 0
10.800 * * [simplify]: Extracting #1: cost 3 inf + 0
10.800 * * [simplify]: Extracting #2: cost 5 inf + 1
10.800 * * [simplify]: Extracting #3: cost 0 inf + 381
10.800 * [simplify]: Simplified to:
  (atan2 1.0 (fma N (+ N 1.0) 1))
12.854 * [regime-testing]: Baseline error score: 0.3360248972193198
12.862 * [regime-testing]: Oracle error score: 0.2967699903559619
12.880 * [regime-testing]: End program error score: 0.3360248972193198
12.977 * [regime-testing]: Target error score: 0.33777511599666693