13.206 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.052 * * * [progress]: [2/2] Setting up program.
0.058 * [progress]: [Phase 2 of 3] Improving.
0.058 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.058 * * [simplify]: iteration 0: 6 enodes
0.060 * * [simplify]: iteration 1: 9 enodes
0.062 * * [simplify]: iteration 2: 10 enodes
0.064 * * [simplify]: iteration complete: 10 enodes
0.064 * * [simplify]: Extracting #0: cost 1 inf + 0
0.064 * * [simplify]: Extracting #1: cost 4 inf + 0
0.064 * * [simplify]: Extracting #2: cost 6 inf + 0
0.064 * * [simplify]: Extracting #3: cost 6 inf + 1
0.064 * * [simplify]: Extracting #4: cost 0 inf + 21
0.064 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.071 * * [progress]: iteration 1 / 4
0.071 * * * [progress]: picking best candidate
0.076 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.076 * * * [progress]: localizing error
0.094 * * * [progress]: generating rewritten candidates
0.094 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.105 * * * [progress]: generating series expansions
0.106 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.106 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.106 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.106 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.106 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.106 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.106 * [taylor]: Taking taylor expansion of (atan N) in N
0.106 * [backup-simplify]: Simplify (atan N) into (atan N)
0.106 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.106 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.106 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.106 * [taylor]: Taking taylor expansion of (atan N) in N
0.107 * [backup-simplify]: Simplify (atan N) into (atan N)
0.107 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.107 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.107 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.108 * [backup-simplify]: Simplify (- 0) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (- 0) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.111 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.111 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.111 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.111 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.111 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.111 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.111 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.111 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.111 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.111 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.111 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.112 * [backup-simplify]: Simplify (- 0) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (- 0) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (- 0) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (- 0) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (- 0) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.124 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.125 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.125 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.125 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.125 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.125 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.125 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.125 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.125 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.125 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.125 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.125 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.125 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.125 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.125 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (- 0) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.128 * * * [progress]: simplifying candidates
0.129 * [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))
0.130 * * [simplify]: iteration 0: 62 enodes
0.140 * * [simplify]: iteration 1: 136 enodes
0.208 * * [simplify]: iteration 2: 503 enodes
1.040 * * [simplify]: iteration 3: 4363 enodes
6.346 * * [simplify]: iteration complete: 5000 enodes
6.346 * * [simplify]: Extracting #0: cost 20 inf + 0
6.347 * * [simplify]: Extracting #1: cost 340 inf + 1
6.351 * * [simplify]: Extracting #2: cost 1099 inf + 222
6.355 * * [simplify]: Extracting #3: cost 531 inf + 4098
6.360 * * [simplify]: Extracting #4: cost 133 inf + 8207
6.364 * * [simplify]: Extracting #5: cost 10 inf + 9782
6.369 * * [simplify]: Extracting #6: cost 2 inf + 9867
6.373 * * [simplify]: Extracting #7: cost 0 inf + 9879
6.377 * [simplify]: Simplified to:
  (- (pow (cbrt (atan (+ 1.0 N))) 3) (atan N))
  0
  (- (pow (cbrt (atan (+ 1.0 N))) 3) (atan N))
  0
  (- (pow (cbrt (atan (+ 1.0 N))) 3) (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 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)))
  (pow (- (atan (+ 1.0 N)) (atan N)) 3)
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (- (pow (atan (+ 1.0 N)) 3) (pow (atan N) 3))
  (fma (atan N) (atan N) (* (atan (+ 1.0 N)) (+ (atan 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)))
  (+ (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))
6.378 * * * [progress]: adding candidates to table
6.460 * * [progress]: iteration 2 / 4
6.460 * * * [progress]: picking best candidate
6.462 * * * * [pick]: Picked  #<alt (λ (N) (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))>
6.462 * * * [progress]: localizing error
6.481 * * * [progress]: generating rewritten candidates
6.481 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
6.481 * * * [progress]: generating series expansions
6.481 * * * * [progress]: [ 1 / 1 ] generating series at (2)
6.482 * [backup-simplify]: Simplify (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.482 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
6.482 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.483 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.483 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.483 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.483 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.484 * [backup-simplify]: Simplify (atan2 (- 1.0 0) (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
6.484 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
6.484 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.484 * [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))
6.484 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.484 * [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))
6.485 * [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))
6.485 * [backup-simplify]: Simplify 0 into 0
6.485 * [backup-simplify]: Simplify 0 into 0
6.485 * [backup-simplify]: Simplify 0 into 0
6.485 * [backup-simplify]: Simplify 0 into 0
6.485 * [backup-simplify]: Simplify 0 into 0
6.485 * [backup-simplify]: Simplify 0 into 0
6.485 * [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))
6.486 * [backup-simplify]: Simplify (atan2 (- 1.0 0) (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
6.486 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
6.486 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.486 * [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))
6.486 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.486 * [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))
6.487 * [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))
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [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))
6.487 * * * [progress]: simplifying candidates
6.488 * [simplify]: Simplifying:
  (expm1 (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))
  (log1p (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))
  (log (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))
  (exp (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))
  (* (cbrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (cbrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))))
  (cbrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))
  (* (* (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)) (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 (- 1.0 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))
6.488 * * [simplify]: iteration 0: 20 enodes
6.493 * * [simplify]: iteration 1: 30 enodes
6.496 * * [simplify]: iteration 2: 52 enodes
6.504 * * [simplify]: iteration 3: 101 enodes
6.514 * * [simplify]: iteration 4: 142 enodes
6.527 * * [simplify]: iteration 5: 215 enodes
6.555 * * [simplify]: iteration 6: 301 enodes
6.582 * * [simplify]: iteration 7: 474 enodes
6.710 * * [simplify]: iteration 8: 1072 enodes
8.345 * * [simplify]: iteration 9: 4998 enodes
9.628 * * [simplify]: iteration complete: 5000 enodes
9.628 * * [simplify]: Extracting #0: cost 9 inf + 0
9.629 * * [simplify]: Extracting #1: cost 175 inf + 0
9.631 * * [simplify]: Extracting #2: cost 765 inf + 4
9.634 * * [simplify]: Extracting #3: cost 751 inf + 28
9.637 * * [simplify]: Extracting #4: cost 741 inf + 85
9.640 * * [simplify]: Extracting #5: cost 615 inf + 4595
9.643 * * [simplify]: Extracting #6: cost 82 inf + 23313
9.645 * * [simplify]: Extracting #7: cost 0 inf + 22435
9.648 * * [simplify]: Extracting #8: cost 0 inf + 22104
9.651 * [simplify]: Simplified to:
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3)
  (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))
9.651 * * * [progress]: adding candidates to table
9.689 * * [progress]: iteration 3 / 4
9.689 * * * [progress]: picking best candidate
9.696 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))>
9.696 * * * [progress]: localizing error
9.708 * * * [progress]: generating rewritten candidates
9.708 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
9.709 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
9.710 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
9.720 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
9.723 * * * [progress]: generating series expansions
9.723 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
9.723 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.723 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
9.723 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.723 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.723 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.723 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.723 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.723 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.723 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.723 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.724 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.724 * [backup-simplify]: Simplify 0 into 0
9.724 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.724 * [backup-simplify]: Simplify 0 into 0
9.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.725 * [backup-simplify]: Simplify 0 into 0
9.726 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.726 * [backup-simplify]: Simplify 0 into 0
9.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.726 * [backup-simplify]: Simplify 0 into 0
9.727 * [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
9.727 * [backup-simplify]: Simplify 0 into 0
9.727 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.727 * [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)))
9.727 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
9.727 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.727 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.727 * [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))
9.727 * [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)))
9.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.728 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.728 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.728 * [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))
9.728 * [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)))
9.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.728 * [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)))
9.728 * [backup-simplify]: Simplify 0 into 0
9.729 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.729 * [backup-simplify]: Simplify 0 into 0
9.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.729 * [backup-simplify]: Simplify 0 into 0
9.730 * [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
9.730 * [backup-simplify]: Simplify 0 into 0
9.730 * [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
9.731 * [backup-simplify]: Simplify 0 into 0
9.731 * [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
9.731 * [backup-simplify]: Simplify 0 into 0
9.731 * [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)))
9.731 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.732 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
9.732 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.732 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.732 * [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))
9.732 * [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)))
9.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.732 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.732 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.732 * [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))
9.732 * [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)))
9.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.732 * [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)))
9.732 * [backup-simplify]: Simplify 0 into 0
9.733 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.733 * [backup-simplify]: Simplify 0 into 0
9.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.734 * [backup-simplify]: Simplify 0 into 0
9.735 * [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
9.735 * [backup-simplify]: Simplify 0 into 0
9.735 * [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
9.735 * [backup-simplify]: Simplify 0 into 0
9.736 * [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
9.736 * [backup-simplify]: Simplify 0 into 0
9.736 * [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)))
9.736 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
9.736 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.736 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
9.736 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.736 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.736 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.736 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.737 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.737 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.737 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.737 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.737 * [backup-simplify]: Simplify 0 into 0
9.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.738 * [backup-simplify]: Simplify 0 into 0
9.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.738 * [backup-simplify]: Simplify 0 into 0
9.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.739 * [backup-simplify]: Simplify 0 into 0
9.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.739 * [backup-simplify]: Simplify 0 into 0
9.740 * [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
9.740 * [backup-simplify]: Simplify 0 into 0
9.740 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.740 * [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)))
9.740 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
9.740 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.740 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.741 * [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))
9.741 * [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)))
9.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.741 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.741 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.741 * [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))
9.741 * [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)))
9.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.741 * [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)))
9.741 * [backup-simplify]: Simplify 0 into 0
9.742 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.742 * [backup-simplify]: Simplify 0 into 0
9.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.742 * [backup-simplify]: Simplify 0 into 0
9.743 * [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
9.743 * [backup-simplify]: Simplify 0 into 0
9.744 * [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
9.744 * [backup-simplify]: Simplify 0 into 0
9.744 * [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
9.744 * [backup-simplify]: Simplify 0 into 0
9.745 * [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)))
9.745 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.745 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
9.745 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.745 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.745 * [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))
9.745 * [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)))
9.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.745 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.745 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.745 * [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))
9.745 * [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)))
9.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.746 * [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)))
9.746 * [backup-simplify]: Simplify 0 into 0
9.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.746 * [backup-simplify]: Simplify 0 into 0
9.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.747 * [backup-simplify]: Simplify 0 into 0
9.748 * [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
9.748 * [backup-simplify]: Simplify 0 into 0
9.751 * [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
9.751 * [backup-simplify]: Simplify 0 into 0
9.752 * [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
9.752 * [backup-simplify]: Simplify 0 into 0
9.752 * [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)))
9.752 * * * * [progress]: [ 3 / 4 ] generating series at (2)
9.753 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.753 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
9.753 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.753 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.753 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.753 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.753 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.753 * [backup-simplify]: Simplify 0 into 0
9.753 * [backup-simplify]: Simplify 0 into 0
9.753 * [backup-simplify]: Simplify 0 into 0
9.753 * [backup-simplify]: Simplify 0 into 0
9.753 * [backup-simplify]: Simplify 0 into 0
9.753 * [backup-simplify]: Simplify 0 into 0
9.753 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.753 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.753 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
9.753 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.753 * [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))
9.753 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.754 * [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))
9.754 * [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))
9.754 * [backup-simplify]: Simplify 0 into 0
9.754 * [backup-simplify]: Simplify 0 into 0
9.754 * [backup-simplify]: Simplify 0 into 0
9.754 * [backup-simplify]: Simplify 0 into 0
9.754 * [backup-simplify]: Simplify 0 into 0
9.754 * [backup-simplify]: Simplify 0 into 0
9.754 * [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))
9.754 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.754 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
9.754 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.754 * [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))
9.754 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.754 * [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))
9.755 * [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))
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [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))
9.755 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
9.755 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.755 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
9.755 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.755 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.755 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.755 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.755 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.756 * [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))
9.756 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
9.756 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.756 * [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))
9.756 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.756 * [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))
9.756 * [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))
9.756 * [backup-simplify]: Simplify 0 into 0
9.756 * [backup-simplify]: Simplify 0 into 0
9.756 * [backup-simplify]: Simplify 0 into 0
9.756 * [backup-simplify]: Simplify 0 into 0
9.756 * [backup-simplify]: Simplify 0 into 0
9.756 * [backup-simplify]: Simplify 0 into 0
9.756 * [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))
9.756 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.756 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
9.756 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.756 * [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))
9.756 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.757 * [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))
9.757 * [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))
9.757 * [backup-simplify]: Simplify 0 into 0
9.757 * [backup-simplify]: Simplify 0 into 0
9.757 * [backup-simplify]: Simplify 0 into 0
9.757 * [backup-simplify]: Simplify 0 into 0
9.757 * [backup-simplify]: Simplify 0 into 0
9.757 * [backup-simplify]: Simplify 0 into 0
9.757 * [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))
9.757 * * * [progress]: simplifying candidates
9.758 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (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 (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (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 (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (log1p (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (fma N (+ N 1.0) 1)) (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)))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (log (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (exp (* (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)))))
  (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (cbrt (* (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)))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1)
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (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 (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))))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (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)))
  (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))
  (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))
9.760 * * [simplify]: iteration 0: 63 enodes
9.773 * * [simplify]: iteration 1: 122 enodes
9.811 * * [simplify]: iteration 2: 600 enodes
10.346 * * [simplify]: iteration complete: 5001 enodes
10.346 * * [simplify]: Extracting #0: cost 28 inf + 0
10.349 * * [simplify]: Extracting #1: cost 1536 inf + 3
10.357 * * [simplify]: Extracting #2: cost 1756 inf + 10
10.364 * * [simplify]: Extracting #3: cost 1746 inf + 46
10.370 * * [simplify]: Extracting #4: cost 1614 inf + 1966
10.376 * * [simplify]: Extracting #5: cost 786 inf + 17621
10.382 * * [simplify]: Extracting #6: cost 61 inf + 32601
10.387 * * [simplify]: Extracting #7: cost 0 inf + 34306
10.393 * [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))))
  (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3)
  (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))))
  (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3)
  (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
  (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (+ 3 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (+ 3 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)))
  (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3)
  (* (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)))
  (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3)
  (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (+ 3 1))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (pow (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (+ 3 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
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (+ 3 1)))
  (* (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (pow (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (+ 3 1))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)
  (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)))
  (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3)
  (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))
10.394 * * * [progress]: adding candidates to table
10.667 * * [progress]: iteration 4 / 4
10.667 * * * [progress]: picking best candidate
10.689 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))>
10.689 * * * [progress]: localizing error
10.717 * * * [progress]: generating rewritten candidates
10.717 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
10.718 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
10.719 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
10.720 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
10.759 * * * [progress]: generating series expansions
10.759 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
10.760 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.760 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in (N) around 0
10.760 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N
10.760 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N
10.760 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1))
10.760 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.760 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N
10.760 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N
10.760 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1))
10.760 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.760 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.760 * [backup-simplify]: Simplify 0 into 0
10.761 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.761 * [backup-simplify]: Simplify 0 into 0
10.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.762 * [backup-simplify]: Simplify 0 into 0
10.762 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.762 * [backup-simplify]: Simplify 0 into 0
10.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.763 * [backup-simplify]: Simplify 0 into 0
10.764 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.764 * [backup-simplify]: Simplify 0 into 0
10.764 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.764 * [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)))
10.764 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in (N) around 0
10.764 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N
10.764 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N
10.764 * [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))
10.764 * [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)))
10.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0
10.764 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N
10.764 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N
10.764 * [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))
10.764 * [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)))
10.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0
10.765 * [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)))
10.765 * [backup-simplify]: Simplify 0 into 0
10.765 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0
10.765 * [backup-simplify]: Simplify 0 into 0
10.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0
10.766 * [backup-simplify]: Simplify 0 into 0
10.767 * [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
10.767 * [backup-simplify]: Simplify 0 into 0
10.767 * [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
10.767 * [backup-simplify]: Simplify 0 into 0
10.768 * [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
10.768 * [backup-simplify]: Simplify 0 into 0
10.768 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.768 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))
10.768 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in (N) around 0
10.768 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N
10.768 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N
10.768 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))
10.768 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))
10.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.769 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N
10.769 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N
10.769 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))
10.769 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))
10.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.769 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))
10.769 * [backup-simplify]: Simplify 0 into 0
10.770 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.770 * [backup-simplify]: Simplify 0 into 0
10.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.770 * [backup-simplify]: Simplify 0 into 0
10.771 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.771 * [backup-simplify]: Simplify 0 into 0
10.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.772 * [backup-simplify]: Simplify 0 into 0
10.772 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.772 * [backup-simplify]: Simplify 0 into 0
10.772 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.772 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
10.773 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.773 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in (N) around 0
10.773 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N
10.773 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N
10.773 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1))
10.773 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.773 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N
10.773 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N
10.773 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1))
10.773 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.773 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.773 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.774 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.774 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.775 * [backup-simplify]: Simplify 0 into 0
10.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.776 * [backup-simplify]: Simplify 0 into 0
10.776 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0
10.776 * [backup-simplify]: Simplify 0 into 0
10.776 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.777 * [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)))
10.777 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in (N) around 0
10.777 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N
10.777 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N
10.777 * [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))
10.777 * [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)))
10.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0
10.777 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N
10.777 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N
10.777 * [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))
10.777 * [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)))
10.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0
10.777 * [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)))
10.778 * [backup-simplify]: Simplify 0 into 0
10.778 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0
10.778 * [backup-simplify]: Simplify 0 into 0
10.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0
10.779 * [backup-simplify]: Simplify 0 into 0
10.779 * [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
10.779 * [backup-simplify]: Simplify 0 into 0
10.780 * [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
10.780 * [backup-simplify]: Simplify 0 into 0
10.781 * [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
10.781 * [backup-simplify]: Simplify 0 into 0
10.781 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.781 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))
10.781 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in (N) around 0
10.781 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N
10.781 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N
10.781 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))
10.781 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))
10.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.782 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N
10.782 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N
10.782 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))
10.782 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))
10.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.782 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))
10.782 * [backup-simplify]: Simplify 0 into 0
10.783 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.783 * [backup-simplify]: Simplify 0 into 0
10.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.783 * [backup-simplify]: Simplify 0 into 0
10.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.784 * [backup-simplify]: Simplify 0 into 0
10.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.785 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
10.786 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
10.786 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.786 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
10.786 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.786 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.786 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.786 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.786 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.786 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.786 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.789 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.789 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.789 * [backup-simplify]: Simplify 0 into 0
10.789 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.790 * [backup-simplify]: Simplify 0 into 0
10.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.790 * [backup-simplify]: Simplify 0 into 0
10.791 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.791 * [backup-simplify]: Simplify 0 into 0
10.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.791 * [backup-simplify]: Simplify 0 into 0
10.792 * [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
10.792 * [backup-simplify]: Simplify 0 into 0
10.792 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.792 * [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)))
10.792 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
10.792 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.792 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.792 * [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))
10.792 * [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)))
10.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.793 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.793 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.793 * [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))
10.793 * [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)))
10.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.793 * [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)))
10.793 * [backup-simplify]: Simplify 0 into 0
10.794 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.794 * [backup-simplify]: Simplify 0 into 0
10.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.794 * [backup-simplify]: Simplify 0 into 0
10.795 * [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
10.795 * [backup-simplify]: Simplify 0 into 0
10.796 * [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
10.796 * [backup-simplify]: Simplify 0 into 0
10.796 * [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
10.796 * [backup-simplify]: Simplify 0 into 0
10.796 * [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)))
10.797 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.797 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
10.797 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.797 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.797 * [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))
10.797 * [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)))
10.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.797 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.797 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.797 * [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))
10.797 * [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)))
10.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.797 * [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)))
10.798 * [backup-simplify]: Simplify 0 into 0
10.798 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.798 * [backup-simplify]: Simplify 0 into 0
10.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.799 * [backup-simplify]: Simplify 0 into 0
10.799 * [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
10.799 * [backup-simplify]: Simplify 0 into 0
10.800 * [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
10.800 * [backup-simplify]: Simplify 0 into 0
10.801 * [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
10.801 * [backup-simplify]: Simplify 0 into 0
10.801 * [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)))
10.801 * * * * [progress]: [ 4 / 4 ] generating series at (2)
10.801 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) into (sqrt (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1))))
10.801 * [approximate]: Taking taylor expansion of (sqrt (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1)))) in (N) around 0
10.801 * [taylor]: Taking taylor expansion of (sqrt (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1)))) in N
10.801 * [taylor]: Taking taylor expansion of (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.801 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N
10.801 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1))
10.801 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.801 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.802 * [backup-simplify]: Simplify (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) into (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))
10.802 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))) into (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1))))
10.802 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ N 1.0) N 1)) 0) (* 0 (atan2 1.0 (fma N (+ N 1.0) 1)))) into 0
10.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))))) into 0
10.802 * [taylor]: Taking taylor expansion of (sqrt (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1)))) in N
10.802 * [taylor]: Taking taylor expansion of (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.802 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N
10.802 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1))
10.802 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.802 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.802 * [backup-simplify]: Simplify (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) into (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))
10.803 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))) into (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1))))
10.803 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ N 1.0) N 1)) 0) (* 0 (atan2 1.0 (fma N (+ N 1.0) 1)))) into 0
10.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))))) into 0
10.803 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))) into (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1))))
10.803 * [backup-simplify]: Simplify 0 into 0
10.804 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ N 1.0) N 1)) 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.804 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))))) into 0
10.804 * [backup-simplify]: Simplify 0 into 0
10.805 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ N 1.0) N 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma N (+ N 1.0) 1)))))) into 0
10.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))))) into 0
10.806 * [backup-simplify]: Simplify 0 into 0
10.806 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ N 1.0) N 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma N (+ N 1.0) 1))))))) into 0
10.807 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))))) into 0
10.807 * [backup-simplify]: Simplify 0 into 0
10.808 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ N 1.0) N 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma N (+ N 1.0) 1)))))))) into 0
10.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))))) into 0
10.809 * [backup-simplify]: Simplify 0 into 0
10.810 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ N 1.0) N 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma N (+ N 1.0) 1))))))))) into 0
10.811 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))))) into 0
10.811 * [backup-simplify]: Simplify 0 into 0
10.811 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))) into (sqrt (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1))))
10.812 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) (sqrt (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)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))
10.812 * [approximate]: Taking taylor expansion of (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in (N) around 0
10.812 * [taylor]: Taking taylor expansion of (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
10.812 * [taylor]: Taking taylor expansion of (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.812 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N
10.812 * [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))
10.812 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.812 * [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))
10.812 * [backup-simplify]: Simplify (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
10.813 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))
10.813 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 0) (* 0 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into 0
10.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0
10.813 * [taylor]: Taking taylor expansion of (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
10.813 * [taylor]: Taking taylor expansion of (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.813 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N
10.813 * [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))
10.813 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.813 * [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))
10.814 * [backup-simplify]: Simplify (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
10.814 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))
10.814 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 0) (* 0 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into 0
10.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0
10.815 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))
10.815 * [backup-simplify]: Simplify 0 into 0
10.816 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0
10.816 * [backup-simplify]: Simplify 0 into 0
10.817 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0
10.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0
10.818 * [backup-simplify]: Simplify 0 into 0
10.819 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))))) into 0
10.819 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0
10.819 * [backup-simplify]: Simplify 0 into 0
10.821 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))))) into 0
10.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0
10.821 * [backup-simplify]: Simplify 0 into 0
10.823 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))))))) into 0
10.824 * [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)) (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0
10.824 * [backup-simplify]: Simplify 0 into 0
10.824 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1)) (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)))) into (sqrt (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1))))
10.824 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1)))))) into (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))
10.824 * [approximate]: Taking taylor expansion of (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in (N) around 0
10.824 * [taylor]: Taking taylor expansion of (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
10.825 * [taylor]: Taking taylor expansion of (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.825 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N
10.825 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))
10.825 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.825 * [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))
10.825 * [backup-simplify]: Simplify (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.825 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) into (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))
10.825 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 0) (* 0 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) into 0
10.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))) into 0
10.826 * [taylor]: Taking taylor expansion of (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
10.826 * [taylor]: Taking taylor expansion of (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.826 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N
10.826 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))
10.826 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.826 * [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))
10.826 * [backup-simplify]: Simplify (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.826 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) into (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))
10.827 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 0) (* 0 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) into 0
10.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))) into 0
10.827 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) into (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))
10.827 * [backup-simplify]: Simplify 0 into 0
10.828 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.828 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))) into 0
10.828 * [backup-simplify]: Simplify 0 into 0
10.829 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))) into 0
10.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))) into 0
10.830 * [backup-simplify]: Simplify 0 into 0
10.831 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))))) into 0
10.832 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))) into 0
10.832 * [backup-simplify]: Simplify 0 into 0
10.834 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))))) into 0
10.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))) into 0
10.835 * [backup-simplify]: Simplify 0 into 0
10.837 * [backup-simplify]: Simplify (+ (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))))))) into 0
10.838 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))) into 0
10.838 * [backup-simplify]: Simplify 0 into 0
10.838 * [backup-simplify]: Simplify (sqrt (* (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)))) into (sqrt (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1))))
10.838 * * * [progress]: simplifying candidates
10.839 * [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 (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (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 (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))
  (log1p (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (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 (+ N 1.0) 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 (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 (+ N 1.0) 1))) (* (sqrt (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 (+ N 1.0) 1)) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (+ (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (+ (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))
  (+ (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))
  (log (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))
  (exp (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (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 (+ 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 (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 (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 (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)))))))
  (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))))))
  (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (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 (+ N 1.0) 1))) (* (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 (+ N 1.0) 1))) (* (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 (+ N 1.0) 1))) (* (sqrt (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 (+ N 1.0) 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 (+ N 1.0) 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 (+ N 1.0) 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 (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 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 (+ N 1.0) 1)))) (* (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 (+ N 1.0) 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 (+ N 1.0) 1)))) (* (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 (+ N 1.0) 1))) (* (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)))
  (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 (+ 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 1.0) N 1))))
  (sqrt (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma N (+ N 1.0) 1))))
10.841 * * [simplify]: iteration 0: 71 enodes
10.851 * * [simplify]: iteration 1: 137 enodes
10.883 * * [simplify]: iteration 2: 349 enodes
10.964 * * [simplify]: iteration 3: 1034 enodes
11.803 * * [simplify]: iteration complete: 5000 enodes
11.803 * * [simplify]: Extracting #0: cost 26 inf + 0
11.804 * * [simplify]: Extracting #1: cost 683 inf + 2
11.811 * * [simplify]: Extracting #2: cost 1506 inf + 19
11.816 * * [simplify]: Extracting #3: cost 1483 inf + 122
11.821 * * [simplify]: Extracting #4: cost 1241 inf + 4064
11.825 * * [simplify]: Extracting #5: cost 327 inf + 24255
11.830 * * [simplify]: Extracting #6: cost 0 inf + 32618
11.835 * [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))))
  (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3)
  (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))))
  (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3)
  (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))))
  (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3)
  (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)))
  (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 4)
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 4)
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (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)))
  (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3)
  (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3)
  (* (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)))
  (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3)
  (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 4)
  (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)))
  (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)
  (* (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)))))
  (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)
  (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)))
  (fabs (atan2 1.0 (fma (+ N 1.0) N 1)))
  (fabs (atan2 1.0 (fma (+ N 1.0) N 1)))
  (fabs (atan2 1.0 (fma (+ N 1.0) N 1)))
11.835 * * * [progress]: adding candidates to table
12.123 * [progress]: [Phase 3 of 3] Extracting.
12.123 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (pow (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (+ 3 1))))> #<alt (λ (N) (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (exp (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))))> #<alt (λ (N) (* (* (fabs (cbrt (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 (+ N 1.0) 1))))))>)
12.124 * * * [regime-changes]: Trying 1 branch expressions: (N)
12.124 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (pow (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (+ 3 1))))> #<alt (λ (N) (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (exp (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))))> #<alt (λ (N) (* (* (fabs (cbrt (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 (+ N 1.0) 1))))))>)
12.176 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
12.176 * [simplify]: Simplifying:
  (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))
12.176 * * [simplify]: iteration 0: 8 enodes
12.177 * * [simplify]: iteration 1: 10 enodes
12.178 * * [simplify]: iteration 2: 11 enodes
12.178 * * [simplify]: iteration complete: 11 enodes
12.178 * * [simplify]: Extracting #0: cost 1 inf + 0
12.178 * * [simplify]: Extracting #1: cost 3 inf + 0
12.178 * * [simplify]: Extracting #2: cost 5 inf + 1
12.178 * * [simplify]: Extracting #3: cost 0 inf + 20
12.178 * [simplify]: Simplified to:
  (atan2 1.0 (fma N (+ N 1.0) 1))
14.377 * [regime-testing]: Baseline error score: 0.4093425473393085
14.379 * [regime-testing]: Oracle error score: 0.3636387140475569
14.384 * [regime-testing]: End program error score: 0.4093425473393085
14.437 * [regime-testing]: Target error score: 0.4104676879818888