6.569 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.028 * * * [progress]: [2/2] Setting up program.
0.030 * [progress]: [Phase 2 of 3] Improving.
0.030 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.030 * [simplify]: Sending expressions to egg_math:
 (- (atan (+ h0 h1)) (atan h0))
0.032 * * [simplify]: iteration  0 :  9  enodes  (cost  4 )
0.033 * * [simplify]: iteration  1 :  10  enodes  (cost  4 )
0.035 * * [simplify]: iteration  2 :  10  enodes  (cost  4 )
0.035 * * [progress]: iteration 1 / 4
0.035 * * * [progress]: picking best candidate
0.036 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.036 * * * [progress]: localizing error
0.042 * * * [progress]: generating rewritten candidates
0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.050 * * * [progress]: generating series expansions
0.050 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.050 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.050 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.050 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.050 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.050 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.050 * [taylor]: Taking taylor expansion of (atan N) in N
0.050 * [backup-simplify]: Simplify (atan N) into (atan N)
0.050 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.050 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.050 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.050 * [taylor]: Taking taylor expansion of (atan N) in N
0.050 * [backup-simplify]: Simplify (atan N) into (atan N)
0.051 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.051 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.051 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.051 * [backup-simplify]: Simplify (- 0) into 0
0.051 * [backup-simplify]: Simplify (+ 0 0) into 0
0.051 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (- 0) into 0
0.052 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (- 0) into 0
0.052 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (- 0) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (- 0) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (- 0) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.054 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.054 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.054 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.054 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.054 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.054 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.054 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.054 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.054 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.054 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.054 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.054 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.054 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.055 * [backup-simplify]: Simplify (- 0) into 0
0.055 * [backup-simplify]: Simplify (+ 0 0) into 0
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify (- 0) into 0
0.055 * [backup-simplify]: Simplify (+ 0 0) into 0
0.055 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify (- 0) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.057 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.057 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.058 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.058 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.058 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.058 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.058 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.058 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.058 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.058 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.058 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.058 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.058 * [backup-simplify]: Simplify (- 0) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify (- 0) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify (- 0) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.061 * * * [progress]: simplifying candidates
0.062 * [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))
0.062 * [simplify]: Sending expressions to egg_math:
 (fma (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (- (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0))))))
 (fma (- (cbrt (atan h0))) (* (cbrt (atan h0)) (cbrt (atan h0))) (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0)))))
 (fma (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (- (* (sqrt (atan h0)) (sqrt (atan h0)))))
 (fma (- (sqrt (atan h0))) (sqrt (atan h0)) (* (sqrt (atan h0)) (sqrt (atan h0))))
 (fma (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (- (* (atan h0) 1)))
 (fma (- (atan h0)) 1 (* (atan h0) 1))
 (fma (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0))))))
 (fma (- (cbrt (atan h0))) (* (cbrt (atan h0)) (cbrt (atan h0))) (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0)))))
 (fma (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (* (sqrt (atan h0)) (sqrt (atan h0)))))
 (fma (- (sqrt (atan h0))) (sqrt (atan h0)) (* (sqrt (atan h0)) (sqrt (atan h0))))
 (fma (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (* (atan h0) 1)))
 (fma (- (atan h0)) 1 (* (atan h0) 1))
 (fma 1 (atan (+ h0 h1)) (- (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0))))))
 (fma (- (cbrt (atan h0))) (* (cbrt (atan h0)) (cbrt (atan h0))) (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0)))))
 (fma 1 (atan (+ h0 h1)) (- (* (sqrt (atan h0)) (sqrt (atan h0)))))
 (fma (- (sqrt (atan h0))) (sqrt (atan h0)) (* (sqrt (atan h0)) (sqrt (atan h0))))
 (fma 1 (atan (+ h0 h1)) (- (* (atan h0) 1)))
 (fma (- (atan h0)) 1 (* (atan h0) 1))
 (expm1 (- (atan (+ h0 h1)) (atan h0)))
 (log1p (- (atan (+ h0 h1)) (atan h0)))
 (- (atan h0))
 (- (atan h0))
 (- (atan h0))
 (- (+ h0 h1) h0)
 (+ 1 (* (+ h0 h1) h0))
 (/ (exp (atan (+ h0 h1))) (exp (atan h0)))
 (log (- (atan (+ h0 h1)) (atan h0)))
 (exp (- (atan (+ h0 h1)) (atan h0)))
 (* (cbrt (- (atan (+ h0 h1)) (atan h0))) (cbrt (- (atan (+ h0 h1)) (atan h0))))
 (cbrt (- (atan (+ h0 h1)) (atan h0)))
 (* (* (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0))) (- (atan (+ h0 h1)) (atan h0)))
 (sqrt (- (atan (+ h0 h1)) (atan h0)))
 (sqrt (- (atan (+ h0 h1)) (atan h0)))
 (- (pow (atan (+ h0 h1)) 3) (pow (atan h0) 3))
 (+ (* (atan (+ h0 h1)) (atan (+ h0 h1))) (+ (* (atan h0) (atan h0)) (* (atan (+ h0 h1)) (atan h0))))
 (- (atan h0))
 (- (* (atan (+ h0 h1)) (atan (+ h0 h1))) (* (atan h0) (atan h0)))
 (+ (atan (+ h0 h1)) (atan h0))
 (+ (sqrt (atan (+ h0 h1))) (sqrt (atan h0)))
 (- (sqrt (atan (+ h0 h1))) (sqrt (atan h0)))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
0.065 * * [simplify]: iteration  0 :  126  enodes  (cost  328 )
0.068 * * [simplify]: iteration  1 :  342  enodes  (cost  227 )
0.075 * * [simplify]: iteration  2 :  1471  enodes  (cost  217 )
0.106 * * [simplify]: iteration  3 :  5001  enodes  (cost  161 )
0.107 * * * [progress]: adding candidates to table
0.154 * * [progress]: iteration 2 / 4
0.154 * * * [progress]: picking best candidate
0.158 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))>
0.158 * * * [progress]: localizing error
0.163 * * * [progress]: generating rewritten candidates
0.163 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.164 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
0.164 * * * [progress]: generating series expansions
0.165 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.165 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.167 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.167 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.167 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.167 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.168 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.168 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.168 * [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))
0.168 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.168 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.168 * [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))
0.168 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.168 * [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))
0.168 * [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))
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [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))
0.169 * [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))
0.169 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.169 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.169 * [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))
0.169 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.169 * [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))
0.169 * [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))
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [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))
0.169 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
0.170 * [backup-simplify]: Simplify (fma N (+ N 1.0) 1) into (fma N (+ N 1.0) 1)
0.170 * [approximate]: Taking taylor expansion of (fma N (+ N 1.0) 1) in (N) around 0
0.170 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.170 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.170 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.170 * [taylor]: Taking taylor expansion of N in N
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.170 * [taylor]: Taking taylor expansion of N in N
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [taylor]: Taking taylor expansion of 1.0 in N
0.170 * [backup-simplify]: Simplify 1.0 into 1.0
0.170 * [taylor]: Taking taylor expansion of 1 in N
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.170 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.170 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.170 * [taylor]: Taking taylor expansion of N in N
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.170 * [taylor]: Taking taylor expansion of N in N
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [taylor]: Taking taylor expansion of 1.0 in N
0.170 * [backup-simplify]: Simplify 1.0 into 1.0
0.170 * [taylor]: Taking taylor expansion of 1 in N
0.170 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.171 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.171 * [backup-simplify]: Simplify (+ 0 1) into 1
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (+ 1 0) into 1
0.172 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.173 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.173 * [backup-simplify]: Simplify 1.0 into 1.0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
0.173 * [backup-simplify]: Simplify (+ 1 0) into 1
0.174 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (pow N 2) (+ (* 1.0 N) 1))
0.174 * [backup-simplify]: Simplify (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) into (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)
0.174 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in (N) around 0
0.174 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.174 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.174 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.174 * [taylor]: Taking taylor expansion of N in N
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify (/ 1 1) into 1
0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.174 * [taylor]: Taking taylor expansion of N in N
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ 1 1) into 1
0.175 * [taylor]: Taking taylor expansion of 1.0 in N
0.175 * [backup-simplify]: Simplify 1.0 into 1.0
0.175 * [taylor]: Taking taylor expansion of 1 in N
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.175 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.175 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.175 * [taylor]: Taking taylor expansion of N in N
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ 1 1) into 1
0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.175 * [taylor]: Taking taylor expansion of N in N
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ 1 1) into 1
0.175 * [taylor]: Taking taylor expansion of 1.0 in N
0.175 * [backup-simplify]: Simplify 1.0 into 1.0
0.175 * [taylor]: Taking taylor expansion of 1 in N
0.175 * [backup-simplify]: Simplify 1 into 1
0.176 * [backup-simplify]: Simplify (+ 1 0) into 1
0.176 * [backup-simplify]: Simplify (* 1 1) into 1
0.176 * [backup-simplify]: Simplify (+ 1 0) into 1
0.176 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.179 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.179 * [backup-simplify]: Simplify 1.0 into 1.0
0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
0.180 * [backup-simplify]: Simplify (+ 0 1) into 1
0.180 * [backup-simplify]: Simplify 1 into 1
0.181 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1))
0.181 * [backup-simplify]: Simplify (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1) into (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)
0.181 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in (N) around 0
0.181 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.181 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.181 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.181 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.181 * [taylor]: Taking taylor expansion of -1 in N
0.181 * [backup-simplify]: Simplify -1 into -1
0.181 * [taylor]: Taking taylor expansion of N in N
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.181 * [backup-simplify]: Simplify (/ -1 1) into -1
0.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.181 * [taylor]: Taking taylor expansion of 1.0 in N
0.181 * [backup-simplify]: Simplify 1.0 into 1.0
0.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.181 * [taylor]: Taking taylor expansion of N in N
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.182 * [backup-simplify]: Simplify (/ 1 1) into 1
0.182 * [taylor]: Taking taylor expansion of 1 in N
0.182 * [backup-simplify]: Simplify 1 into 1
0.182 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.182 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.182 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.182 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.182 * [taylor]: Taking taylor expansion of -1 in N
0.182 * [backup-simplify]: Simplify -1 into -1
0.182 * [taylor]: Taking taylor expansion of N in N
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 1 into 1
0.182 * [backup-simplify]: Simplify (/ -1 1) into -1
0.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.182 * [taylor]: Taking taylor expansion of 1.0 in N
0.182 * [backup-simplify]: Simplify 1.0 into 1.0
0.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.182 * [taylor]: Taking taylor expansion of N in N
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (/ 1 1) into 1
0.183 * [taylor]: Taking taylor expansion of 1 in N
0.183 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (- 1) into -1
0.183 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.183 * [backup-simplify]: Simplify (* -1 -1) into 1
0.184 * [backup-simplify]: Simplify (+ 1 0) into 1
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.184 * [backup-simplify]: Simplify (- 0) into 0
0.184 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.186 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
0.186 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (- 0) into 0
0.187 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
0.188 * [backup-simplify]: Simplify (+ 0 1) into 1
0.188 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1))
0.189 * * * [progress]: simplifying candidates
0.189 * [simplify]: Simplifying:
  (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)))
  (expm1 (fma N (+ N 1.0) 1))
  (log1p (fma N (+ N 1.0) 1))
  (* N (+ N 1.0))
  (log (fma N (+ N 1.0) 1))
  (exp (fma N (+ N 1.0) 1))
  (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))
  (cbrt (fma N (+ N 1.0) 1))
  (* (* (fma N (+ N 1.0) 1) (fma N (+ N 1.0) 1)) (fma N (+ N 1.0) 1))
  (sqrt (fma N (+ N 1.0) 1))
  (sqrt (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))
  (+ (pow N 2) (+ (* 1.0 N) 1))
  (+ (pow N 2) (+ (* 1.0 N) 1))
  (+ (pow N 2) (+ (* 1.0 N) 1))
0.190 * [simplify]: Sending expressions to egg_math:
 (expm1 (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (log1p (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (log (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (exp (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (* (* (atan2 h0 (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1))) (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (expm1 (fma h1 (+ h1 h0) 1))
 (log1p (fma h1 (+ h1 h0) 1))
 (* h1 (+ h1 h0))
 (log (fma h1 (+ h1 h0) 1))
 (exp (fma h1 (+ h1 h0) 1))
 (* (cbrt (fma h1 (+ h1 h0) 1)) (cbrt (fma h1 (+ h1 h0) 1)))
 (cbrt (fma h1 (+ h1 h0) 1))
 (* (* (fma h1 (+ h1 h0) 1) (fma h1 (+ h1 h0) 1)) (fma h1 (+ h1 h0) 1))
 (sqrt (fma h1 (+ h1 h0) 1))
 (sqrt (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (+ (pow h1 2) (+ (* h0 h1) 1))
 (+ (pow h1 2) (+ (* h0 h1) 1))
 (+ (pow h1 2) (+ (* h0 h1) 1))
0.192 * * [simplify]: iteration  0 :  47  enodes  (cost  101 )
0.194 * * [simplify]: iteration  1 :  104  enodes  (cost  89 )
0.197 * * [simplify]: iteration  2 :  513  enodes  (cost  89 )
0.211 * * [simplify]: iteration  3 :  4531  enodes  (cost  89 )
0.326 * * [simplify]: iteration  4 :  5001  enodes  (cost  89 )
0.327 * * * [progress]: adding candidates to table
0.375 * * [progress]: iteration 3 / 4
0.375 * * * [progress]: picking best candidate
0.382 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))>
0.382 * * * [progress]: localizing error
0.390 * * * [progress]: generating rewritten candidates
0.390 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
0.392 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
0.393 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.393 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.410 * * * [progress]: generating series expansions
0.410 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
0.410 * [backup-simplify]: Simplify (sqrt (fma N (+ N 1.0) 1)) into (sqrt (fma N (+ N 1.0) 1))
0.410 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in (N) around 0
0.410 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N
0.410 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.411 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.411 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.411 * [taylor]: Taking taylor expansion of N in N
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.411 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.411 * [taylor]: Taking taylor expansion of N in N
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.411 * [taylor]: Taking taylor expansion of 1.0 in N
0.411 * [backup-simplify]: Simplify 1.0 into 1.0
0.411 * [taylor]: Taking taylor expansion of 1 in N
0.411 * [backup-simplify]: Simplify 1 into 1
0.411 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.411 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.412 * [backup-simplify]: Simplify (+ 0 1) into 1
0.412 * [backup-simplify]: Simplify (sqrt 1) into 1
0.412 * [backup-simplify]: Simplify (+ 1 0) into 1
0.413 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.413 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.414 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.414 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N
0.414 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.414 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.414 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.414 * [taylor]: Taking taylor expansion of N in N
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.414 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.414 * [taylor]: Taking taylor expansion of N in N
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.414 * [taylor]: Taking taylor expansion of 1.0 in N
0.414 * [backup-simplify]: Simplify 1.0 into 1.0
0.414 * [taylor]: Taking taylor expansion of 1 in N
0.414 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.415 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.415 * [backup-simplify]: Simplify (+ 0 1) into 1
0.415 * [backup-simplify]: Simplify (sqrt 1) into 1
0.416 * [backup-simplify]: Simplify (+ 1 0) into 1
0.416 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.417 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.418 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.418 * [backup-simplify]: Simplify 1 into 1
0.418 * [backup-simplify]: Simplify 0.5 into 0.5
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
0.419 * [backup-simplify]: Simplify (+ 1 0) into 1
0.420 * [backup-simplify]: Simplify (/ (- 1 (pow 0.5 2) (+)) (* 2 1)) into 0.375
0.420 * [backup-simplify]: Simplify 0.375 into 0.375
0.421 * [backup-simplify]: Simplify (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1)) into (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1))
0.421 * [backup-simplify]: Simplify (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
0.421 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.421 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.421 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.421 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.421 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.421 * [taylor]: Taking taylor expansion of N in N
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [backup-simplify]: Simplify (/ 1 1) into 1
0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.421 * [taylor]: Taking taylor expansion of N in N
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.422 * [backup-simplify]: Simplify (/ 1 1) into 1
0.422 * [taylor]: Taking taylor expansion of 1.0 in N
0.422 * [backup-simplify]: Simplify 1.0 into 1.0
0.422 * [taylor]: Taking taylor expansion of 1 in N
0.422 * [backup-simplify]: Simplify 1 into 1
0.422 * [backup-simplify]: Simplify (+ 1 0) into 1
0.422 * [backup-simplify]: Simplify (* 1 1) into 1
0.422 * [backup-simplify]: Simplify (+ 1 0) into 1
0.423 * [backup-simplify]: Simplify (sqrt 1) into 1
0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.424 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.425 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.425 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.425 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.425 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.425 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.425 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.425 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.425 * [taylor]: Taking taylor expansion of N in N
0.425 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (/ 1 1) into 1
0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.426 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.426 * [taylor]: Taking taylor expansion of N in N
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (/ 1 1) into 1
0.426 * [taylor]: Taking taylor expansion of 1.0 in N
0.426 * [backup-simplify]: Simplify 1.0 into 1.0
0.426 * [taylor]: Taking taylor expansion of 1 in N
0.426 * [backup-simplify]: Simplify 1 into 1
0.427 * [backup-simplify]: Simplify (+ 1 0) into 1
0.427 * [backup-simplify]: Simplify (* 1 1) into 1
0.427 * [backup-simplify]: Simplify (+ 1 0) into 1
0.427 * [backup-simplify]: Simplify (sqrt 1) into 1
0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.429 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.433 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [backup-simplify]: Simplify 0.5 into 0.5
0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (+ 0 0) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
0.436 * [backup-simplify]: Simplify (+ 0 1) into 1
0.437 * [backup-simplify]: Simplify (/ (- 1 (pow 0.5 2) (+)) (* 2 1)) into 0.375
0.437 * [backup-simplify]: Simplify 0.375 into 0.375
0.437 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 N)) (+ 0.5 (* 1 (/ 1 (/ 1 N))))) into (+ (* 0.375 (/ 1 N)) (+ N 0.5))
0.438 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.438 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.438 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.438 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.438 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.438 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.438 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.438 * [taylor]: Taking taylor expansion of -1 in N
0.438 * [backup-simplify]: Simplify -1 into -1
0.438 * [taylor]: Taking taylor expansion of N in N
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.438 * [backup-simplify]: Simplify (/ -1 1) into -1
0.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.438 * [taylor]: Taking taylor expansion of 1.0 in N
0.438 * [backup-simplify]: Simplify 1.0 into 1.0
0.438 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.438 * [taylor]: Taking taylor expansion of N in N
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (/ 1 1) into 1
0.439 * [taylor]: Taking taylor expansion of 1 in N
0.439 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (- 1) into -1
0.439 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.439 * [backup-simplify]: Simplify (* -1 -1) into 1
0.439 * [backup-simplify]: Simplify (+ 1 0) into 1
0.440 * [backup-simplify]: Simplify (sqrt 1) into 1
0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.440 * [backup-simplify]: Simplify (- 0) into 0
0.440 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.442 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.442 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
0.443 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.443 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.443 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.443 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.443 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.443 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.443 * [taylor]: Taking taylor expansion of -1 in N
0.443 * [backup-simplify]: Simplify -1 into -1
0.443 * [taylor]: Taking taylor expansion of N in N
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (/ -1 1) into -1
0.444 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.444 * [taylor]: Taking taylor expansion of 1.0 in N
0.444 * [backup-simplify]: Simplify 1.0 into 1.0
0.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.444 * [taylor]: Taking taylor expansion of N in N
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (/ 1 1) into 1
0.444 * [taylor]: Taking taylor expansion of 1 in N
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (- 1) into -1
0.444 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.445 * [backup-simplify]: Simplify (* -1 -1) into 1
0.445 * [backup-simplify]: Simplify (+ 1 0) into 1
0.445 * [backup-simplify]: Simplify (sqrt 1) into 1
0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (- 0) into 0
0.446 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.447 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.448 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
0.449 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify -0.5 into -0.5
0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (- 0) into 0
0.450 * [backup-simplify]: Simplify (+ 0 0) into 0
0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
0.451 * [backup-simplify]: Simplify (+ 0 1) into 1
0.452 * [backup-simplify]: Simplify (/ (- 1 (pow -0.5 2) (+)) (* 2 1)) into 0.375
0.452 * [backup-simplify]: Simplify 0.375 into 0.375
0.453 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 (- N))) (+ -0.5 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 0.375 (/ 1 N)) (+ N 0.5)))
0.453 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
0.453 * [backup-simplify]: Simplify (sqrt (fma N (+ N 1.0) 1)) into (sqrt (fma N (+ N 1.0) 1))
0.453 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in (N) around 0
0.453 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N
0.453 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.453 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.453 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.453 * [taylor]: Taking taylor expansion of N in N
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 1 into 1
0.453 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.453 * [taylor]: Taking taylor expansion of N in N
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 1 into 1
0.453 * [taylor]: Taking taylor expansion of 1.0 in N
0.453 * [backup-simplify]: Simplify 1.0 into 1.0
0.453 * [taylor]: Taking taylor expansion of 1 in N
0.453 * [backup-simplify]: Simplify 1 into 1
0.453 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.453 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.454 * [backup-simplify]: Simplify (+ 0 1) into 1
0.454 * [backup-simplify]: Simplify (sqrt 1) into 1
0.454 * [backup-simplify]: Simplify (+ 1 0) into 1
0.455 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.455 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.456 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.456 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N
0.456 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.456 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.456 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.456 * [taylor]: Taking taylor expansion of N in N
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 1 into 1
0.456 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.456 * [taylor]: Taking taylor expansion of N in N
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 1 into 1
0.456 * [taylor]: Taking taylor expansion of 1.0 in N
0.456 * [backup-simplify]: Simplify 1.0 into 1.0
0.456 * [taylor]: Taking taylor expansion of 1 in N
0.456 * [backup-simplify]: Simplify 1 into 1
0.457 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.457 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.457 * [backup-simplify]: Simplify (+ 0 1) into 1
0.457 * [backup-simplify]: Simplify (sqrt 1) into 1
0.457 * [backup-simplify]: Simplify (+ 1 0) into 1
0.458 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.459 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.459 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify 0.5 into 0.5
0.459 * [backup-simplify]: Simplify (+ 0 0) into 0
0.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
0.460 * [backup-simplify]: Simplify (+ 1 0) into 1
0.462 * [backup-simplify]: Simplify (/ (- 1 (pow 0.5 2) (+)) (* 2 1)) into 0.375
0.462 * [backup-simplify]: Simplify 0.375 into 0.375
0.462 * [backup-simplify]: Simplify (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1)) into (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1))
0.462 * [backup-simplify]: Simplify (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
0.462 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.462 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.462 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.462 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.462 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.462 * [taylor]: Taking taylor expansion of N in N
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (/ 1 1) into 1
0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.463 * [taylor]: Taking taylor expansion of N in N
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (/ 1 1) into 1
0.463 * [taylor]: Taking taylor expansion of 1.0 in N
0.463 * [backup-simplify]: Simplify 1.0 into 1.0
0.463 * [taylor]: Taking taylor expansion of 1 in N
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (+ 1 0) into 1
0.463 * [backup-simplify]: Simplify (* 1 1) into 1
0.464 * [backup-simplify]: Simplify (+ 1 0) into 1
0.464 * [backup-simplify]: Simplify (sqrt 1) into 1
0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.464 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.466 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.467 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.467 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.467 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.467 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.467 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.467 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.467 * [taylor]: Taking taylor expansion of N in N
0.467 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify 1 into 1
0.467 * [backup-simplify]: Simplify (/ 1 1) into 1
0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.467 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.467 * [taylor]: Taking taylor expansion of N in N
0.467 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify 1 into 1
0.467 * [backup-simplify]: Simplify (/ 1 1) into 1
0.467 * [taylor]: Taking taylor expansion of 1.0 in N
0.467 * [backup-simplify]: Simplify 1.0 into 1.0
0.467 * [taylor]: Taking taylor expansion of 1 in N
0.467 * [backup-simplify]: Simplify 1 into 1
0.468 * [backup-simplify]: Simplify (+ 1 0) into 1
0.468 * [backup-simplify]: Simplify (* 1 1) into 1
0.468 * [backup-simplify]: Simplify (+ 1 0) into 1
0.468 * [backup-simplify]: Simplify (sqrt 1) into 1
0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.470 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.471 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [backup-simplify]: Simplify 0.5 into 0.5
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
0.473 * [backup-simplify]: Simplify (+ 0 1) into 1
0.475 * [backup-simplify]: Simplify (/ (- 1 (pow 0.5 2) (+)) (* 2 1)) into 0.375
0.475 * [backup-simplify]: Simplify 0.375 into 0.375
0.475 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 N)) (+ 0.5 (* 1 (/ 1 (/ 1 N))))) into (+ (* 0.375 (/ 1 N)) (+ N 0.5))
0.475 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.475 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.475 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.475 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.475 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.475 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.475 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.475 * [taylor]: Taking taylor expansion of -1 in N
0.475 * [backup-simplify]: Simplify -1 into -1
0.475 * [taylor]: Taking taylor expansion of N in N
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (/ -1 1) into -1
0.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.476 * [taylor]: Taking taylor expansion of 1.0 in N
0.476 * [backup-simplify]: Simplify 1.0 into 1.0
0.476 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.476 * [taylor]: Taking taylor expansion of N in N
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (/ 1 1) into 1
0.476 * [taylor]: Taking taylor expansion of 1 in N
0.476 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (- 1) into -1
0.476 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.477 * [backup-simplify]: Simplify (* -1 -1) into 1
0.477 * [backup-simplify]: Simplify (+ 1 0) into 1
0.477 * [backup-simplify]: Simplify (sqrt 1) into 1
0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.478 * [backup-simplify]: Simplify (- 0) into 0
0.478 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.480 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
0.481 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.481 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.481 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.481 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.481 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.481 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.481 * [taylor]: Taking taylor expansion of -1 in N
0.481 * [backup-simplify]: Simplify -1 into -1
0.481 * [taylor]: Taking taylor expansion of N in N
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (/ -1 1) into -1
0.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.481 * [taylor]: Taking taylor expansion of 1.0 in N
0.481 * [backup-simplify]: Simplify 1.0 into 1.0
0.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.481 * [taylor]: Taking taylor expansion of N in N
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 1 into 1
0.482 * [backup-simplify]: Simplify (/ 1 1) into 1
0.482 * [taylor]: Taking taylor expansion of 1 in N
0.482 * [backup-simplify]: Simplify 1 into 1
0.482 * [backup-simplify]: Simplify (- 1) into -1
0.482 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.482 * [backup-simplify]: Simplify (* -1 -1) into 1
0.482 * [backup-simplify]: Simplify (+ 1 0) into 1
0.483 * [backup-simplify]: Simplify (sqrt 1) into 1
0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (- 0) into 0
0.484 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.485 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
0.486 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify -0.5 into -0.5
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (- 0) into 0
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
0.488 * [backup-simplify]: Simplify (+ 0 1) into 1
0.490 * [backup-simplify]: Simplify (/ (- 1 (pow -0.5 2) (+)) (* 2 1)) into 0.375
0.490 * [backup-simplify]: Simplify 0.375 into 0.375
0.490 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 (- N))) (+ -0.5 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 0.375 (/ 1 N)) (+ N 0.5)))
0.490 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.490 * [backup-simplify]: Simplify (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.490 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.490 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.490 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.490 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.490 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.491 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.491 * [backup-simplify]: Simplify (atan2 1.0 (* (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
0.491 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.491 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.491 * [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))
0.491 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.491 * [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))
0.491 * [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))
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [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))
0.492 * [backup-simplify]: Simplify (atan2 1.0 (* (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.492 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.492 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.492 * [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))
0.492 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.492 * [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))
0.492 * [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))
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.493 * [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))
0.493 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.493 * [backup-simplify]: Simplify (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) into (fma N (+ N 1.0) 1)
0.493 * [approximate]: Taking taylor expansion of (fma N (+ N 1.0) 1) in (N) around 0
0.493 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.493 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.493 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.493 * [taylor]: Taking taylor expansion of N in N
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.493 * [taylor]: Taking taylor expansion of N in N
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [taylor]: Taking taylor expansion of 1.0 in N
0.493 * [backup-simplify]: Simplify 1.0 into 1.0
0.493 * [taylor]: Taking taylor expansion of 1 in N
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.493 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.493 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.493 * [taylor]: Taking taylor expansion of N in N
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.493 * [taylor]: Taking taylor expansion of N in N
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [taylor]: Taking taylor expansion of 1.0 in N
0.493 * [backup-simplify]: Simplify 1.0 into 1.0
0.493 * [taylor]: Taking taylor expansion of 1 in N
0.493 * [backup-simplify]: Simplify 1 into 1
0.494 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.494 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.494 * [backup-simplify]: Simplify (+ 0 1) into 1
0.494 * [backup-simplify]: Simplify 1 into 1
0.494 * [backup-simplify]: Simplify (+ 1 0) into 1
0.495 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.495 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.495 * [backup-simplify]: Simplify 1.0 into 1.0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
0.496 * [backup-simplify]: Simplify (+ 1 0) into 1
0.496 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (pow N 2) (+ (* 1.0 N) 1))
0.497 * [backup-simplify]: Simplify (* (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)
0.497 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in (N) around 0
0.497 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.497 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.497 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.497 * [taylor]: Taking taylor expansion of N in N
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (/ 1 1) into 1
0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.497 * [taylor]: Taking taylor expansion of N in N
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.498 * [taylor]: Taking taylor expansion of 1.0 in N
0.498 * [backup-simplify]: Simplify 1.0 into 1.0
0.498 * [taylor]: Taking taylor expansion of 1 in N
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.498 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.498 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.498 * [taylor]: Taking taylor expansion of N in N
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.498 * [taylor]: Taking taylor expansion of N in N
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.498 * [taylor]: Taking taylor expansion of 1.0 in N
0.498 * [backup-simplify]: Simplify 1.0 into 1.0
0.498 * [taylor]: Taking taylor expansion of 1 in N
0.498 * [backup-simplify]: Simplify 1 into 1
0.499 * [backup-simplify]: Simplify (+ 1 0) into 1
0.499 * [backup-simplify]: Simplify (* 1 1) into 1
0.499 * [backup-simplify]: Simplify (+ 1 0) into 1
0.499 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.501 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.501 * [backup-simplify]: Simplify 1.0 into 1.0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ 0 0) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
0.503 * [backup-simplify]: Simplify (+ 0 1) into 1
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1))
0.504 * [backup-simplify]: Simplify (* (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)
0.504 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in (N) around 0
0.504 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.504 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.504 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.504 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.504 * [taylor]: Taking taylor expansion of -1 in N
0.504 * [backup-simplify]: Simplify -1 into -1
0.504 * [taylor]: Taking taylor expansion of N in N
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (/ -1 1) into -1
0.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.504 * [taylor]: Taking taylor expansion of 1.0 in N
0.504 * [backup-simplify]: Simplify 1.0 into 1.0
0.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.504 * [taylor]: Taking taylor expansion of N in N
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (/ 1 1) into 1
0.504 * [taylor]: Taking taylor expansion of 1 in N
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.505 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.505 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.505 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.505 * [taylor]: Taking taylor expansion of -1 in N
0.505 * [backup-simplify]: Simplify -1 into -1
0.505 * [taylor]: Taking taylor expansion of N in N
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (/ -1 1) into -1
0.505 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.505 * [taylor]: Taking taylor expansion of 1.0 in N
0.505 * [backup-simplify]: Simplify 1.0 into 1.0
0.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.505 * [taylor]: Taking taylor expansion of N in N
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [taylor]: Taking taylor expansion of 1 in N
0.505 * [backup-simplify]: Simplify 1 into 1
0.506 * [backup-simplify]: Simplify (- 1) into -1
0.506 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.506 * [backup-simplify]: Simplify (* -1 -1) into 1
0.506 * [backup-simplify]: Simplify (+ 1 0) into 1
0.506 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (- 0) into 0
0.507 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.509 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
0.509 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (- 0) into 0
0.510 * [backup-simplify]: Simplify (+ 0 0) into 0
0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
0.511 * [backup-simplify]: Simplify (+ 0 1) into 1
0.511 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1))
0.512 * * * [progress]: simplifying candidates
0.513 * [simplify]: Simplifying:
  (expm1 (sqrt (fma N (+ N 1.0) 1)))
  (log1p (sqrt (fma N (+ N 1.0) 1)))
  (log (sqrt (fma N (+ N 1.0) 1)))
  (exp (sqrt (fma N (+ N 1.0) 1)))
  (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))))
  (cbrt (sqrt (fma N (+ N 1.0) 1)))
  (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))))
  (sqrt (cbrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt 1)
  (sqrt (fma N (+ N 1.0) 1))
  (/ 1 2)
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (expm1 (sqrt (fma N (+ N 1.0) 1)))
  (log1p (sqrt (fma N (+ N 1.0) 1)))
  (log (sqrt (fma N (+ N 1.0) 1)))
  (exp (sqrt (fma N (+ N 1.0) 1)))
  (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))))
  (cbrt (sqrt (fma N (+ N 1.0) 1)))
  (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))))
  (sqrt (cbrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt 1)
  (sqrt (fma N (+ N 1.0) 1))
  (/ 1 2)
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (expm1 (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))
  (log1p (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))
  (log (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))
  (exp (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))
  (* (cbrt (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))) (cbrt (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))))
  (cbrt (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))
  (* (* (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))) (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))) (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))
  (sqrt (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))
  (sqrt (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))
  (expm1 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))
  (log1p (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (fma N (+ N 1.0) 1) (fma N (+ N 1.0) 1))
  (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))
  (* (fma N (+ N 1.0) 1) (fma N (+ N 1.0) 1))
  (+ 1 1)
  (+ (log (sqrt (fma N (+ N 1.0) 1))) (log (sqrt (fma N (+ N 1.0) 1))))
  (log (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))
  (exp (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))
  (* (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1))) (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1))))
  (* (cbrt (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))) (cbrt (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))
  (cbrt (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))
  (* (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))) (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))
  (* (fma N (+ N 1.0) 1) (fma N (+ N 1.0) 1))
  (sqrt (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))
  (sqrt (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))
  (* (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1)))))
  (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))))
  (* (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* 1 1)
  (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (fma N (+ N 1.0) 1)) (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1)))))
  (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))))
  (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (fma N (+ N 1.0) 1)) (sqrt 1))
  (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (sqrt (fma N (+ N 1.0) 1))))
  (* (sqrt (fma N (+ N 1.0) 1)) 1)
  (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1)))
  (* (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1)))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1)))
  (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))
  (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1)))
  (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))
  (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1))
  (+ (* 0.375 (/ 1 N)) (+ N 0.5))
  (- (+ (* 0.375 (/ 1 N)) (+ N 0.5)))
  (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1))
  (+ (* 0.375 (/ 1 N)) (+ N 0.5))
  (- (+ (* 0.375 (/ 1 N)) (+ N 0.5)))
  (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))
  (+ (pow N 2) (+ (* 1.0 N) 1))
  (+ (pow N 2) (+ (* 1.0 N) 1))
  (+ (pow N 2) (+ (* 1.0 N) 1))
0.513 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (fma h0 (+ h0 h1) 1)))
 (log1p (sqrt (fma h0 (+ h0 h1) 1)))
 (log (sqrt (fma h0 (+ h0 h1) 1)))
 (exp (sqrt (fma h0 (+ h0 h1) 1)))
 (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))))
 (cbrt (sqrt (fma h0 (+ h0 h1) 1)))
 (* (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))))
 (sqrt (cbrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt 1)
 (sqrt (fma h0 (+ h0 h1) 1))
 (/ 1 2)
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (expm1 (sqrt (fma h0 (+ h0 h1) 1)))
 (log1p (sqrt (fma h0 (+ h0 h1) 1)))
 (log (sqrt (fma h0 (+ h0 h1) 1)))
 (exp (sqrt (fma h0 (+ h0 h1) 1)))
 (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))))
 (cbrt (sqrt (fma h0 (+ h0 h1) 1)))
 (* (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))))
 (sqrt (cbrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt 1)
 (sqrt (fma h0 (+ h0 h1) 1))
 (/ 1 2)
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (expm1 (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))))
 (log1p (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))))
 (log (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))))
 (exp (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))))
 (* (cbrt (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))))) (cbrt (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))))))
 (cbrt (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))))
 (* (* (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))) (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))))) (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))))
 (sqrt (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))))
 (sqrt (atan2 h1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))))
 (expm1 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))))
 (log1p (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))))
 (+ 1/2 1/2)
 (+ 1/2 (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) 1/2)
 (+ (/ 1 2) (/ 1 2))
 (* (fma h0 (+ h0 h1) 1) (fma h0 (+ h0 h1) 1))
 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))
 (* (fma h0 (+ h0 h1) 1) (fma h0 (+ h0 h1) 1))
 (+ 1 1)
 (+ (log (sqrt (fma h0 (+ h0 h1) 1))) (log (sqrt (fma h0 (+ h0 h1) 1))))
 (log (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))))
 (exp (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))))
 (* (* (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1))) (* (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1))))
 (* (cbrt (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))) (cbrt (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))))
 (cbrt (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))))
 (* (* (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))) (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))) (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))))
 (* (fma h0 (+ h0 h1) 1) (fma h0 (+ h0 h1) 1))
 (sqrt (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))))
 (sqrt (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))))
 (* (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1)))) (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1)))))
 (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1)))) (sqrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1)))))
 (* (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* 1 1)
 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (fma h0 (+ h0 h1) 1)) (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1)))))
 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1)))))
 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt 1))
 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (sqrt (fma h0 (+ h0 h1) 1))))
 (* (sqrt (fma h0 (+ h0 h1) 1)) 1)
 (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1)))
 (* (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1)))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1)))
 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))
 (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1)))
 (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1)))
 (+ (* h2 (pow h0 2)) (+ (* h3 h0) 1))
 (+ (* h2 (/ 1 h0)) (+ h0 h3))
 (- (+ (* h2 (/ 1 h0)) (+ h0 h3)))
 (+ (* h2 (pow h0 2)) (+ (* h3 h0) 1))
 (+ (* h2 (/ 1 h0)) (+ h0 h3))
 (- (+ (* h2 (/ 1 h0)) (+ h0 h3)))
 (atan2 h1 (fma h0 (+ h0 h1) 1))
 (atan2 h1 (fma h0 (+ h0 h1) 1))
 (atan2 h1 (fma h0 (+ h0 h1) 1))
 (+ (pow h0 2) (+ (* h1 h0) 1))
 (+ (pow h0 2) (+ (* h1 h0) 1))
 (+ (pow h0 2) (+ (* h1 h0) 1))
0.518 * * [simplify]: iteration  0 :  152  enodes  (cost  528 )
0.522 * * [simplify]: iteration  1 :  551  enodes  (cost  459 )
0.538 * * [simplify]: iteration  2 :  3555  enodes  (cost  439 )
0.663 * * [simplify]: iteration  3 :  5001  enodes  (cost  439 )
0.672 * * * [progress]: adding candidates to table
0.856 * * [progress]: iteration 4 / 4
0.856 * * * [progress]: picking best candidate
0.866 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))))>
0.866 * * * [progress]: localizing error
0.876 * * * [progress]: generating rewritten candidates
0.876 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
0.878 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1)
0.880 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
0.881 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
0.885 * * * [progress]: generating series expansions
0.885 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
0.885 * [backup-simplify]: Simplify (sqrt (fma N (+ N 1.0) 1)) into (sqrt (fma N (+ N 1.0) 1))
0.885 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in (N) around 0
0.885 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N
0.885 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.885 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.885 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.885 * [taylor]: Taking taylor expansion of N in N
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify 1 into 1
0.886 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.886 * [taylor]: Taking taylor expansion of N in N
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify 1 into 1
0.886 * [taylor]: Taking taylor expansion of 1.0 in N
0.886 * [backup-simplify]: Simplify 1.0 into 1.0
0.886 * [taylor]: Taking taylor expansion of 1 in N
0.886 * [backup-simplify]: Simplify 1 into 1
0.886 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.886 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.887 * [backup-simplify]: Simplify (+ 0 1) into 1
0.887 * [backup-simplify]: Simplify (sqrt 1) into 1
0.887 * [backup-simplify]: Simplify (+ 1 0) into 1
0.888 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.888 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.889 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.889 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N
0.889 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.889 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.889 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.889 * [taylor]: Taking taylor expansion of N in N
0.889 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify 1 into 1
0.889 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.889 * [taylor]: Taking taylor expansion of N in N
0.889 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify 1 into 1
0.889 * [taylor]: Taking taylor expansion of 1.0 in N
0.889 * [backup-simplify]: Simplify 1.0 into 1.0
0.889 * [taylor]: Taking taylor expansion of 1 in N
0.889 * [backup-simplify]: Simplify 1 into 1
0.889 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.890 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.890 * [backup-simplify]: Simplify (+ 0 1) into 1
0.890 * [backup-simplify]: Simplify (sqrt 1) into 1
0.890 * [backup-simplify]: Simplify (+ 1 0) into 1
0.891 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.891 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.892 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.892 * [backup-simplify]: Simplify 1 into 1
0.892 * [backup-simplify]: Simplify 0.5 into 0.5
0.892 * [backup-simplify]: Simplify (+ 0 0) into 0
0.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
0.893 * [backup-simplify]: Simplify (+ 1 0) into 1
0.895 * [backup-simplify]: Simplify (/ (- 1 (pow 0.5 2) (+)) (* 2 1)) into 0.375
0.895 * [backup-simplify]: Simplify 0.375 into 0.375
0.895 * [backup-simplify]: Simplify (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1)) into (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1))
0.895 * [backup-simplify]: Simplify (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
0.895 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.895 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.895 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.895 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.895 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.895 * [taylor]: Taking taylor expansion of N in N
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [backup-simplify]: Simplify 1 into 1
0.896 * [backup-simplify]: Simplify (/ 1 1) into 1
0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.896 * [taylor]: Taking taylor expansion of N in N
0.896 * [backup-simplify]: Simplify 0 into 0
0.896 * [backup-simplify]: Simplify 1 into 1
0.896 * [backup-simplify]: Simplify (/ 1 1) into 1
0.896 * [taylor]: Taking taylor expansion of 1.0 in N
0.896 * [backup-simplify]: Simplify 1.0 into 1.0
0.896 * [taylor]: Taking taylor expansion of 1 in N
0.896 * [backup-simplify]: Simplify 1 into 1
0.896 * [backup-simplify]: Simplify (+ 1 0) into 1
0.896 * [backup-simplify]: Simplify (* 1 1) into 1
0.897 * [backup-simplify]: Simplify (+ 1 0) into 1
0.897 * [backup-simplify]: Simplify (sqrt 1) into 1
0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.898 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.899 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.899 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.900 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.900 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.900 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.900 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.900 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.900 * [taylor]: Taking taylor expansion of N in N
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [backup-simplify]: Simplify 1 into 1
0.900 * [backup-simplify]: Simplify (/ 1 1) into 1
0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.900 * [taylor]: Taking taylor expansion of N in N
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [backup-simplify]: Simplify 1 into 1
0.900 * [backup-simplify]: Simplify (/ 1 1) into 1
0.901 * [taylor]: Taking taylor expansion of 1.0 in N
0.901 * [backup-simplify]: Simplify 1.0 into 1.0
0.901 * [taylor]: Taking taylor expansion of 1 in N
0.901 * [backup-simplify]: Simplify 1 into 1
0.901 * [backup-simplify]: Simplify (+ 1 0) into 1
0.901 * [backup-simplify]: Simplify (* 1 1) into 1
0.901 * [backup-simplify]: Simplify (+ 1 0) into 1
0.901 * [backup-simplify]: Simplify (sqrt 1) into 1
0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.902 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.903 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.904 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.904 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.904 * [backup-simplify]: Simplify 1 into 1
0.904 * [backup-simplify]: Simplify 0.5 into 0.5
0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.905 * [backup-simplify]: Simplify (+ 0 0) into 0
0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
0.906 * [backup-simplify]: Simplify (+ 0 1) into 1
0.908 * [backup-simplify]: Simplify (/ (- 1 (pow 0.5 2) (+)) (* 2 1)) into 0.375
0.908 * [backup-simplify]: Simplify 0.375 into 0.375
0.908 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 N)) (+ 0.5 (* 1 (/ 1 (/ 1 N))))) into (+ (* 0.375 (/ 1 N)) (+ N 0.5))
0.908 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.908 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.908 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.908 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.908 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.908 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.908 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.908 * [taylor]: Taking taylor expansion of -1 in N
0.908 * [backup-simplify]: Simplify -1 into -1
0.908 * [taylor]: Taking taylor expansion of N in N
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify 1 into 1
0.909 * [backup-simplify]: Simplify (/ -1 1) into -1
0.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.909 * [taylor]: Taking taylor expansion of 1.0 in N
0.909 * [backup-simplify]: Simplify 1.0 into 1.0
0.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.909 * [taylor]: Taking taylor expansion of N in N
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify 1 into 1
0.909 * [backup-simplify]: Simplify (/ 1 1) into 1
0.909 * [taylor]: Taking taylor expansion of 1 in N
0.909 * [backup-simplify]: Simplify 1 into 1
0.909 * [backup-simplify]: Simplify (- 1) into -1
0.910 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.910 * [backup-simplify]: Simplify (* -1 -1) into 1
0.910 * [backup-simplify]: Simplify (+ 1 0) into 1
0.910 * [backup-simplify]: Simplify (sqrt 1) into 1
0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.911 * [backup-simplify]: Simplify (- 0) into 0
0.911 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.912 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.913 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
0.914 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.914 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.914 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.914 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.914 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.914 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.914 * [taylor]: Taking taylor expansion of -1 in N
0.914 * [backup-simplify]: Simplify -1 into -1
0.914 * [taylor]: Taking taylor expansion of N in N
0.914 * [backup-simplify]: Simplify 0 into 0
0.914 * [backup-simplify]: Simplify 1 into 1
0.914 * [backup-simplify]: Simplify (/ -1 1) into -1
0.914 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.914 * [taylor]: Taking taylor expansion of 1.0 in N
0.914 * [backup-simplify]: Simplify 1.0 into 1.0
0.914 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.914 * [taylor]: Taking taylor expansion of N in N
0.914 * [backup-simplify]: Simplify 0 into 0
0.914 * [backup-simplify]: Simplify 1 into 1
0.915 * [backup-simplify]: Simplify (/ 1 1) into 1
0.915 * [taylor]: Taking taylor expansion of 1 in N
0.915 * [backup-simplify]: Simplify 1 into 1
0.915 * [backup-simplify]: Simplify (- 1) into -1
0.915 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.915 * [backup-simplify]: Simplify (* -1 -1) into 1
0.916 * [backup-simplify]: Simplify (+ 1 0) into 1
0.916 * [backup-simplify]: Simplify (sqrt 1) into 1
0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.916 * [backup-simplify]: Simplify (- 0) into 0
0.917 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.918 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.918 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
0.919 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.919 * [backup-simplify]: Simplify 1 into 1
0.919 * [backup-simplify]: Simplify -0.5 into -0.5
0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.920 * [backup-simplify]: Simplify (- 0) into 0
0.920 * [backup-simplify]: Simplify (+ 0 0) into 0
0.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.921 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
0.921 * [backup-simplify]: Simplify (+ 0 1) into 1
0.923 * [backup-simplify]: Simplify (/ (- 1 (pow -0.5 2) (+)) (* 2 1)) into 0.375
0.923 * [backup-simplify]: Simplify 0.375 into 0.375
0.923 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 (- N))) (+ -0.5 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 0.375 (/ 1 N)) (+ N 0.5)))
0.923 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1)
0.923 * [backup-simplify]: Simplify (sqrt (fma N (+ N 1.0) 1)) into (sqrt (fma N (+ N 1.0) 1))
0.923 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in (N) around 0
0.923 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N
0.923 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.924 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.924 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.924 * [taylor]: Taking taylor expansion of N in N
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 1 into 1
0.924 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.924 * [taylor]: Taking taylor expansion of N in N
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 1 into 1
0.924 * [taylor]: Taking taylor expansion of 1.0 in N
0.924 * [backup-simplify]: Simplify 1.0 into 1.0
0.924 * [taylor]: Taking taylor expansion of 1 in N
0.924 * [backup-simplify]: Simplify 1 into 1
0.924 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.924 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.924 * [backup-simplify]: Simplify (+ 0 1) into 1
0.925 * [backup-simplify]: Simplify (sqrt 1) into 1
0.925 * [backup-simplify]: Simplify (+ 1 0) into 1
0.926 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.926 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.927 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.927 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N
0.927 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.927 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.927 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.927 * [taylor]: Taking taylor expansion of N in N
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify 1 into 1
0.927 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.927 * [taylor]: Taking taylor expansion of N in N
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify 1 into 1
0.927 * [taylor]: Taking taylor expansion of 1.0 in N
0.927 * [backup-simplify]: Simplify 1.0 into 1.0
0.927 * [taylor]: Taking taylor expansion of 1 in N
0.927 * [backup-simplify]: Simplify 1 into 1
0.927 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.927 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.928 * [backup-simplify]: Simplify (+ 0 1) into 1
0.928 * [backup-simplify]: Simplify (sqrt 1) into 1
0.928 * [backup-simplify]: Simplify (+ 1 0) into 1
0.929 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.929 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.930 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.930 * [backup-simplify]: Simplify 1 into 1
0.930 * [backup-simplify]: Simplify 0.5 into 0.5
0.930 * [backup-simplify]: Simplify (+ 0 0) into 0
0.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
0.931 * [backup-simplify]: Simplify (+ 1 0) into 1
0.932 * [backup-simplify]: Simplify (/ (- 1 (pow 0.5 2) (+)) (* 2 1)) into 0.375
0.933 * [backup-simplify]: Simplify 0.375 into 0.375
0.933 * [backup-simplify]: Simplify (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1)) into (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1))
0.933 * [backup-simplify]: Simplify (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
0.933 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.933 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.933 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.933 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.933 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.933 * [taylor]: Taking taylor expansion of N in N
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 1 into 1
0.933 * [backup-simplify]: Simplify (/ 1 1) into 1
0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.933 * [taylor]: Taking taylor expansion of N in N
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 1 into 1
0.934 * [backup-simplify]: Simplify (/ 1 1) into 1
0.934 * [taylor]: Taking taylor expansion of 1.0 in N
0.934 * [backup-simplify]: Simplify 1.0 into 1.0
0.934 * [taylor]: Taking taylor expansion of 1 in N
0.934 * [backup-simplify]: Simplify 1 into 1
0.934 * [backup-simplify]: Simplify (+ 1 0) into 1
0.934 * [backup-simplify]: Simplify (* 1 1) into 1
0.934 * [backup-simplify]: Simplify (+ 1 0) into 1
0.935 * [backup-simplify]: Simplify (sqrt 1) into 1
0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.935 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.936 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.937 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.937 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.937 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.937 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.937 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.937 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.938 * [taylor]: Taking taylor expansion of N in N
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify 1 into 1
0.938 * [backup-simplify]: Simplify (/ 1 1) into 1
0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.938 * [taylor]: Taking taylor expansion of N in N
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify 1 into 1
0.938 * [backup-simplify]: Simplify (/ 1 1) into 1
0.938 * [taylor]: Taking taylor expansion of 1.0 in N
0.938 * [backup-simplify]: Simplify 1.0 into 1.0
0.938 * [taylor]: Taking taylor expansion of 1 in N
0.938 * [backup-simplify]: Simplify 1 into 1
0.938 * [backup-simplify]: Simplify (+ 1 0) into 1
0.939 * [backup-simplify]: Simplify (* 1 1) into 1
0.939 * [backup-simplify]: Simplify (+ 1 0) into 1
0.939 * [backup-simplify]: Simplify (sqrt 1) into 1
0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.940 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.941 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.941 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.942 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.942 * [backup-simplify]: Simplify 1 into 1
0.942 * [backup-simplify]: Simplify 0.5 into 0.5
0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.943 * [backup-simplify]: Simplify (+ 0 0) into 0
0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
0.944 * [backup-simplify]: Simplify (+ 0 1) into 1
0.945 * [backup-simplify]: Simplify (/ (- 1 (pow 0.5 2) (+)) (* 2 1)) into 0.375
0.946 * [backup-simplify]: Simplify 0.375 into 0.375
0.946 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 N)) (+ 0.5 (* 1 (/ 1 (/ 1 N))))) into (+ (* 0.375 (/ 1 N)) (+ N 0.5))
0.946 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.946 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.946 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.946 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.946 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.946 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.946 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.946 * [taylor]: Taking taylor expansion of -1 in N
0.946 * [backup-simplify]: Simplify -1 into -1
0.946 * [taylor]: Taking taylor expansion of N in N
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify 1 into 1
0.946 * [backup-simplify]: Simplify (/ -1 1) into -1
0.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.946 * [taylor]: Taking taylor expansion of 1.0 in N
0.946 * [backup-simplify]: Simplify 1.0 into 1.0
0.946 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.946 * [taylor]: Taking taylor expansion of N in N
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify 1 into 1
0.947 * [backup-simplify]: Simplify (/ 1 1) into 1
0.947 * [taylor]: Taking taylor expansion of 1 in N
0.947 * [backup-simplify]: Simplify 1 into 1
0.947 * [backup-simplify]: Simplify (- 1) into -1
0.947 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.947 * [backup-simplify]: Simplify (* -1 -1) into 1
0.948 * [backup-simplify]: Simplify (+ 1 0) into 1
0.948 * [backup-simplify]: Simplify (sqrt 1) into 1
0.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.948 * [backup-simplify]: Simplify (- 0) into 0
0.949 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.950 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.950 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
0.951 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.951 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.951 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.951 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.951 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.952 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.952 * [taylor]: Taking taylor expansion of -1 in N
0.952 * [backup-simplify]: Simplify -1 into -1
0.952 * [taylor]: Taking taylor expansion of N in N
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify 1 into 1
0.952 * [backup-simplify]: Simplify (/ -1 1) into -1
0.952 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.952 * [taylor]: Taking taylor expansion of 1.0 in N
0.952 * [backup-simplify]: Simplify 1.0 into 1.0
0.952 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.952 * [taylor]: Taking taylor expansion of N in N
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify 1 into 1
0.952 * [backup-simplify]: Simplify (/ 1 1) into 1
0.952 * [taylor]: Taking taylor expansion of 1 in N
0.952 * [backup-simplify]: Simplify 1 into 1
0.952 * [backup-simplify]: Simplify (- 1) into -1
0.953 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.953 * [backup-simplify]: Simplify (* -1 -1) into 1
0.953 * [backup-simplify]: Simplify (+ 1 0) into 1
0.953 * [backup-simplify]: Simplify (sqrt 1) into 1
0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.954 * [backup-simplify]: Simplify (- 0) into 0
0.954 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.955 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.956 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
0.957 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.957 * [backup-simplify]: Simplify 1 into 1
0.957 * [backup-simplify]: Simplify -0.5 into -0.5
0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.958 * [backup-simplify]: Simplify (- 0) into 0
0.958 * [backup-simplify]: Simplify (+ 0 0) into 0
0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.959 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
0.959 * [backup-simplify]: Simplify (+ 0 1) into 1
0.961 * [backup-simplify]: Simplify (/ (- 1 (pow -0.5 2) (+)) (* 2 1)) into 0.375
0.961 * [backup-simplify]: Simplify 0.375 into 0.375
0.961 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 (- N))) (+ -0.5 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 0.375 (/ 1 N)) (+ N 0.5)))
0.961 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
0.961 * [backup-simplify]: Simplify (sqrt (fma N (+ N 1.0) 1)) into (sqrt (fma N (+ N 1.0) 1))
0.961 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in (N) around 0
0.961 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N
0.961 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.961 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.961 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.961 * [taylor]: Taking taylor expansion of N in N
0.961 * [backup-simplify]: Simplify 0 into 0
0.961 * [backup-simplify]: Simplify 1 into 1
0.961 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.961 * [taylor]: Taking taylor expansion of N in N
0.961 * [backup-simplify]: Simplify 0 into 0
0.961 * [backup-simplify]: Simplify 1 into 1
0.961 * [taylor]: Taking taylor expansion of 1.0 in N
0.961 * [backup-simplify]: Simplify 1.0 into 1.0
0.961 * [taylor]: Taking taylor expansion of 1 in N
0.961 * [backup-simplify]: Simplify 1 into 1
0.961 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.962 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.962 * [backup-simplify]: Simplify (+ 0 1) into 1
0.962 * [backup-simplify]: Simplify (sqrt 1) into 1
0.962 * [backup-simplify]: Simplify (+ 1 0) into 1
0.963 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.963 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.964 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.964 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N
0.964 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
0.964 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
0.964 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.964 * [taylor]: Taking taylor expansion of N in N
0.964 * [backup-simplify]: Simplify 0 into 0
0.964 * [backup-simplify]: Simplify 1 into 1
0.964 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.964 * [taylor]: Taking taylor expansion of N in N
0.964 * [backup-simplify]: Simplify 0 into 0
0.964 * [backup-simplify]: Simplify 1 into 1
0.964 * [taylor]: Taking taylor expansion of 1.0 in N
0.964 * [backup-simplify]: Simplify 1.0 into 1.0
0.964 * [taylor]: Taking taylor expansion of 1 in N
0.964 * [backup-simplify]: Simplify 1 into 1
0.965 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.965 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.965 * [backup-simplify]: Simplify (+ 0 1) into 1
0.965 * [backup-simplify]: Simplify (sqrt 1) into 1
0.966 * [backup-simplify]: Simplify (+ 1 0) into 1
0.966 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.967 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.968 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.968 * [backup-simplify]: Simplify 1 into 1
0.968 * [backup-simplify]: Simplify 0.5 into 0.5
0.968 * [backup-simplify]: Simplify (+ 0 0) into 0
0.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
0.969 * [backup-simplify]: Simplify (+ 1 0) into 1
0.970 * [backup-simplify]: Simplify (/ (- 1 (pow 0.5 2) (+)) (* 2 1)) into 0.375
0.970 * [backup-simplify]: Simplify 0.375 into 0.375
0.970 * [backup-simplify]: Simplify (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1)) into (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1))
0.975 * [backup-simplify]: Simplify (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
0.975 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.975 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.975 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.975 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.975 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.975 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.976 * [taylor]: Taking taylor expansion of N in N
0.976 * [backup-simplify]: Simplify 0 into 0
0.976 * [backup-simplify]: Simplify 1 into 1
0.976 * [backup-simplify]: Simplify (/ 1 1) into 1
0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.976 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.976 * [taylor]: Taking taylor expansion of N in N
0.976 * [backup-simplify]: Simplify 0 into 0
0.976 * [backup-simplify]: Simplify 1 into 1
0.976 * [backup-simplify]: Simplify (/ 1 1) into 1
0.976 * [taylor]: Taking taylor expansion of 1.0 in N
0.976 * [backup-simplify]: Simplify 1.0 into 1.0
0.976 * [taylor]: Taking taylor expansion of 1 in N
0.976 * [backup-simplify]: Simplify 1 into 1
0.977 * [backup-simplify]: Simplify (+ 1 0) into 1
0.977 * [backup-simplify]: Simplify (* 1 1) into 1
0.977 * [backup-simplify]: Simplify (+ 1 0) into 1
0.977 * [backup-simplify]: Simplify (sqrt 1) into 1
0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.978 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.979 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.979 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.980 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.980 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.980 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
0.980 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
0.980 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
0.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.980 * [taylor]: Taking taylor expansion of N in N
0.980 * [backup-simplify]: Simplify 0 into 0
0.980 * [backup-simplify]: Simplify 1 into 1
0.981 * [backup-simplify]: Simplify (/ 1 1) into 1
0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.981 * [taylor]: Taking taylor expansion of N in N
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify 1 into 1
0.981 * [backup-simplify]: Simplify (/ 1 1) into 1
0.981 * [taylor]: Taking taylor expansion of 1.0 in N
0.981 * [backup-simplify]: Simplify 1.0 into 1.0
0.981 * [taylor]: Taking taylor expansion of 1 in N
0.981 * [backup-simplify]: Simplify 1 into 1
0.981 * [backup-simplify]: Simplify (+ 1 0) into 1
0.981 * [backup-simplify]: Simplify (* 1 1) into 1
0.982 * [backup-simplify]: Simplify (+ 1 0) into 1
0.982 * [backup-simplify]: Simplify (sqrt 1) into 1
0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.982 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.984 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
0.984 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.985 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5
0.985 * [backup-simplify]: Simplify 1 into 1
0.985 * [backup-simplify]: Simplify 0.5 into 0.5
0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.985 * [backup-simplify]: Simplify (+ 0 0) into 0
0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
0.987 * [backup-simplify]: Simplify (+ 0 1) into 1
0.988 * [backup-simplify]: Simplify (/ (- 1 (pow 0.5 2) (+)) (* 2 1)) into 0.375
0.988 * [backup-simplify]: Simplify 0.375 into 0.375
0.988 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 N)) (+ 0.5 (* 1 (/ 1 (/ 1 N))))) into (+ (* 0.375 (/ 1 N)) (+ N 0.5))
0.988 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.988 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.988 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.988 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.989 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.989 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.989 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.989 * [taylor]: Taking taylor expansion of -1 in N
0.989 * [backup-simplify]: Simplify -1 into -1
0.989 * [taylor]: Taking taylor expansion of N in N
0.989 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify 1 into 1
0.989 * [backup-simplify]: Simplify (/ -1 1) into -1
0.989 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.989 * [taylor]: Taking taylor expansion of 1.0 in N
0.989 * [backup-simplify]: Simplify 1.0 into 1.0
0.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.989 * [taylor]: Taking taylor expansion of N in N
0.989 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify 1 into 1
0.989 * [backup-simplify]: Simplify (/ 1 1) into 1
0.989 * [taylor]: Taking taylor expansion of 1 in N
0.989 * [backup-simplify]: Simplify 1 into 1
0.990 * [backup-simplify]: Simplify (- 1) into -1
0.990 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.990 * [backup-simplify]: Simplify (* -1 -1) into 1
0.990 * [backup-simplify]: Simplify (+ 1 0) into 1
0.990 * [backup-simplify]: Simplify (sqrt 1) into 1
0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.991 * [backup-simplify]: Simplify (- 0) into 0
0.991 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.992 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.993 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
0.994 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.994 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.994 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
0.994 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
0.994 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
0.994 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.994 * [taylor]: Taking taylor expansion of -1 in N
0.994 * [backup-simplify]: Simplify -1 into -1
0.994 * [taylor]: Taking taylor expansion of N in N
0.994 * [backup-simplify]: Simplify 0 into 0
0.994 * [backup-simplify]: Simplify 1 into 1
0.995 * [backup-simplify]: Simplify (/ -1 1) into -1
0.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.995 * [taylor]: Taking taylor expansion of 1.0 in N
0.995 * [backup-simplify]: Simplify 1.0 into 1.0
0.995 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.995 * [taylor]: Taking taylor expansion of N in N
0.995 * [backup-simplify]: Simplify 0 into 0
0.995 * [backup-simplify]: Simplify 1 into 1
0.995 * [backup-simplify]: Simplify (/ 1 1) into 1
0.995 * [taylor]: Taking taylor expansion of 1 in N
0.995 * [backup-simplify]: Simplify 1 into 1
0.995 * [backup-simplify]: Simplify (- 1) into -1
0.995 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.996 * [backup-simplify]: Simplify (* -1 -1) into 1
0.996 * [backup-simplify]: Simplify (+ 1 0) into 1
0.996 * [backup-simplify]: Simplify (sqrt 1) into 1
0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.997 * [backup-simplify]: Simplify (- 0) into 0
0.997 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.998 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.999 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
1.000 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
1.000 * [backup-simplify]: Simplify 1 into 1
1.000 * [backup-simplify]: Simplify -0.5 into -0.5
1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.000 * [backup-simplify]: Simplify (- 0) into 0
1.001 * [backup-simplify]: Simplify (+ 0 0) into 0
1.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.002 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
1.002 * [backup-simplify]: Simplify (+ 0 1) into 1
1.003 * [backup-simplify]: Simplify (/ (- 1 (pow -0.5 2) (+)) (* 2 1)) into 0.375
1.003 * [backup-simplify]: Simplify 0.375 into 0.375
1.003 * [backup-simplify]: Simplify (+ (* 0.375 (/ 1 (- N))) (+ -0.5 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 0.375 (/ 1 N)) (+ N 0.5)))
1.004 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1.004 * [backup-simplify]: Simplify (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1))
1.004 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
1.004 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
1.004 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
1.004 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
1.004 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
1.004 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
1.005 * [backup-simplify]: Simplify (atan2 1.0 (* (* (sqrt (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) (sqrt (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
1.005 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
1.005 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
1.005 * [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))
1.005 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
1.005 * [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))
1.005 * [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))
1.005 * [backup-simplify]: Simplify 0 into 0
1.005 * [backup-simplify]: Simplify 0 into 0
1.005 * [backup-simplify]: Simplify 0 into 0
1.005 * [backup-simplify]: Simplify 0 into 0
1.005 * [backup-simplify]: Simplify 0 into 0
1.005 * [backup-simplify]: Simplify 0 into 0
1.005 * [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))
1.006 * [backup-simplify]: Simplify (atan2 1.0 (* (* (sqrt (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) (sqrt (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) (sqrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
1.006 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
1.006 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
1.006 * [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))
1.006 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
1.006 * [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))
1.006 * [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))
1.006 * [backup-simplify]: Simplify 0 into 0
1.006 * [backup-simplify]: Simplify 0 into 0
1.006 * [backup-simplify]: Simplify 0 into 0
1.006 * [backup-simplify]: Simplify 0 into 0
1.006 * [backup-simplify]: Simplify 0 into 0
1.006 * [backup-simplify]: Simplify 0 into 0
1.006 * [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))
1.006 * * * [progress]: simplifying candidates
1.007 * [simplify]: Simplifying:
  (expm1 (sqrt (fma N (+ N 1.0) 1)))
  (log1p (sqrt (fma N (+ N 1.0) 1)))
  (log (sqrt (fma N (+ N 1.0) 1)))
  (exp (sqrt (fma N (+ N 1.0) 1)))
  (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))))
  (cbrt (sqrt (fma N (+ N 1.0) 1)))
  (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))))
  (sqrt (cbrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt 1)
  (sqrt (fma N (+ N 1.0) 1))
  (/ 1 2)
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (expm1 (sqrt (fma N (+ N 1.0) 1)))
  (log1p (sqrt (fma N (+ N 1.0) 1)))
  (log (sqrt (fma N (+ N 1.0) 1)))
  (exp (sqrt (fma N (+ N 1.0) 1)))
  (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))))
  (cbrt (sqrt (fma N (+ N 1.0) 1)))
  (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))))
  (sqrt (cbrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt 1)
  (sqrt (fma N (+ N 1.0) 1))
  (/ 1 2)
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (expm1 (sqrt (fma N (+ N 1.0) 1)))
  (log1p (sqrt (fma N (+ N 1.0) 1)))
  (log (sqrt (fma N (+ N 1.0) 1)))
  (exp (sqrt (fma N (+ N 1.0) 1)))
  (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))))
  (cbrt (sqrt (fma N (+ N 1.0) 1)))
  (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))))
  (sqrt (cbrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt 1)
  (sqrt (fma N (+ N 1.0) 1))
  (/ 1 2)
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (sqrt (sqrt (fma N (+ N 1.0) 1)))
  (expm1 (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))))
  (log1p (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))))
  (log (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))))
  (exp (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))))
  (* (cbrt (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1))))) (cbrt (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1))))))
  (cbrt (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))))
  (* (* (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))) (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1))))) (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))))
  (sqrt (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))))
  (sqrt (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))))
  (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1))
  (+ (* 0.375 (/ 1 N)) (+ N 0.5))
  (- (+ (* 0.375 (/ 1 N)) (+ N 0.5)))
  (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1))
  (+ (* 0.375 (/ 1 N)) (+ N 0.5))
  (- (+ (* 0.375 (/ 1 N)) (+ N 0.5)))
  (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1))
  (+ (* 0.375 (/ 1 N)) (+ N 0.5))
  (- (+ (* 0.375 (/ 1 N)) (+ N 0.5)))
  (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))
1.008 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (fma h0 (+ h0 h1) 1)))
 (log1p (sqrt (fma h0 (+ h0 h1) 1)))
 (log (sqrt (fma h0 (+ h0 h1) 1)))
 (exp (sqrt (fma h0 (+ h0 h1) 1)))
 (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))))
 (cbrt (sqrt (fma h0 (+ h0 h1) 1)))
 (* (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))))
 (sqrt (cbrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt 1)
 (sqrt (fma h0 (+ h0 h1) 1))
 (/ 1 2)
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (expm1 (sqrt (fma h0 (+ h0 h1) 1)))
 (log1p (sqrt (fma h0 (+ h0 h1) 1)))
 (log (sqrt (fma h0 (+ h0 h1) 1)))
 (exp (sqrt (fma h0 (+ h0 h1) 1)))
 (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))))
 (cbrt (sqrt (fma h0 (+ h0 h1) 1)))
 (* (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))))
 (sqrt (cbrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt 1)
 (sqrt (fma h0 (+ h0 h1) 1))
 (/ 1 2)
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (expm1 (sqrt (fma h0 (+ h0 h1) 1)))
 (log1p (sqrt (fma h0 (+ h0 h1) 1)))
 (log (sqrt (fma h0 (+ h0 h1) 1)))
 (exp (sqrt (fma h0 (+ h0 h1) 1)))
 (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))))
 (cbrt (sqrt (fma h0 (+ h0 h1) 1)))
 (* (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))))
 (sqrt (cbrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt 1)
 (sqrt (fma h0 (+ h0 h1) 1))
 (/ 1 2)
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (sqrt (sqrt (fma h0 (+ h0 h1) 1)))
 (expm1 (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1)))))
 (log1p (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1)))))
 (log (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1)))))
 (exp (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1)))))
 (* (cbrt (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1))))) (cbrt (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1))))))
 (cbrt (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1)))))
 (* (* (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1)))) (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1))))) (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1)))))
 (sqrt (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1)))))
 (sqrt (atan2 h1 (* (* (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1)))) (sqrt (fma h0 (+ h0 h1) 1)))))
 (+ (* h2 (pow h0 2)) (+ (* h3 h0) 1))
 (+ (* h2 (/ 1 h0)) (+ h0 h3))
 (- (+ (* h2 (/ 1 h0)) (+ h0 h3)))
 (+ (* h2 (pow h0 2)) (+ (* h3 h0) 1))
 (+ (* h2 (/ 1 h0)) (+ h0 h3))
 (- (+ (* h2 (/ 1 h0)) (+ h0 h3)))
 (+ (* h2 (pow h0 2)) (+ (* h3 h0) 1))
 (+ (* h2 (/ 1 h0)) (+ h0 h3))
 (- (+ (* h2 (/ 1 h0)) (+ h0 h3)))
 (atan2 h1 (fma h0 (+ h0 h1) 1))
 (atan2 h1 (fma h0 (+ h0 h1) 1))
 (atan2 h1 (fma h0 (+ h0 h1) 1))
1.011 * * [simplify]: iteration  0 :  82  enodes  (cost  411 )
1.013 * * [simplify]: iteration  1 :  189  enodes  (cost  362 )
1.016 * * [simplify]: iteration  2 :  583  enodes  (cost  362 )
1.028 * * [simplify]: iteration  3 :  2230  enodes  (cost  359 )
1.088 * * [simplify]: iteration  4 :  5001  enodes  (cost  356 )
1.090 * * * [progress]: adding candidates to table
1.289 * [progress]: [Phase 3 of 3] Extracting.
1.289 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))> #<alt (λ (N) (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (atan2 1.0 (* (* (pow (cbrt (sqrt (fma N (+ N 1.0) 1))) 4) (cbrt (sqrt (fma N (+ N 1.0) 1)))) (cbrt (sqrt (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (* (fabs (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1)))))) (sqrt (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))) (sqrt (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))))> #<alt (λ (N) (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))))>)
1.291 * * * [regime-changes]: Trying 1 branch expressions: (N)
1.291 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))> #<alt (λ (N) (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (atan2 1.0 (* (* (pow (cbrt (sqrt (fma N (+ N 1.0) 1))) 4) (cbrt (sqrt (fma N (+ N 1.0) 1)))) (cbrt (sqrt (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (* (fabs (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1)))))) (sqrt (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))))) (sqrt (atan2 1.0 (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)))))))> #<alt (λ (N) (atan2 1.0 (* (* (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1)))) (sqrt (fma N (+ N 1.0) 1)))))>)
1.314 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
1.315 * [simplify]: Simplifying:
  (atan2 1.0 (fma N (+ N 1.0) 1))
1.315 * [simplify]: Sending expressions to egg_math:
 (atan2 h0 (fma h1 (+ h1 h0) 1))
1.315 * * [simplify]: iteration  0 :  9  enodes  (cost  3 )
1.315 * * [simplify]: iteration  1 :  9  enodes  (cost  3 )
2.376 * [regime-testing]: Baseline error score: 0.4351378729787518
2.376 * [regime-testing]: Oracle error score: 0.4052591381368965
2.377 * [regime-testing]: End program error score: 0.4351378729787518
2.402 * [regime-testing]: Target error score: 0.43676307612914556