7.911 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.026 * * * [progress]: [2/2] Setting up program.
0.028 * [progress]: [Phase 2 of 3] Improving.
0.029 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.029 * [simplify]: Sending expressions to egg_math:
 (- (atan (+ h0 h1)) (atan h0))
0.031 * * [simplify]: iteration  0 :  9  enodes  (cost  4 )
0.032 * * [simplify]: iteration  1 :  10  enodes  (cost  4 )
0.033 * * [simplify]: iteration  2 :  10  enodes  (cost  4 )
0.034 * * [progress]: iteration 1 / 4
0.034 * * * [progress]: picking best candidate
0.035 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.035 * * * [progress]: localizing error
0.044 * * * [progress]: generating rewritten candidates
0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.051 * * * [progress]: generating series expansions
0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.051 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.051 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.052 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.052 * [taylor]: Taking taylor expansion of (atan N) in N
0.052 * [backup-simplify]: Simplify (atan N) into (atan N)
0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.052 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.052 * [taylor]: Taking taylor expansion of (atan N) in N
0.052 * [backup-simplify]: Simplify (atan N) into (atan N)
0.052 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.052 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.052 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
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
0.053 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify (- 0) into 0
0.054 * [backup-simplify]: Simplify (+ 0 0) into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify (- 0) into 0
0.054 * [backup-simplify]: Simplify (+ 0 0) into 0
0.054 * [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
0.055 * [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 (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.056 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.056 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.056 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.056 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.056 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.056 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.056 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.056 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.056 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
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 (- 0) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify (- 0) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify (- 0) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [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 (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.059 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.059 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.059 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.059 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.059 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.059 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.059 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.059 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.060 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.060 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.060 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.060 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.060 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
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
0.061 * [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 (- 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 (- 0) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (- 0) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (- 0) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.063 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.063 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.063 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.063 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.063 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.063 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.064 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.064 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.064 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.064 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.064 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.064 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.064 * * * [progress]: simplifying candidates
0.065 * [simplify]: Simplifying:
  (- (+ N 1.0) N)
  (+ 1 (* (+ N 1.0) N))
  (/ (exp (atan (+ N 1.0))) (exp (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
0.065 * [simplify]: Sending expressions to egg_math:
 (- (+ h0 h1) h0)
 (+ 1 (* (+ h0 h1) h0))
 (/ (exp (atan (+ h0 h1))) (exp (atan h0)))
 (log (- (atan (+ h0 h1)) (atan h0)))
 (exp (- (atan (+ h0 h1)) (atan h0)))
 (* (cbrt (- (atan (+ h0 h1)) (atan h0))) (cbrt (- (atan (+ h0 h1)) (atan h0))))
 (cbrt (- (atan (+ h0 h1)) (atan h0)))
 (* (* (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0))) (- (atan (+ h0 h1)) (atan h0)))
 (sqrt (- (atan (+ h0 h1)) (atan h0)))
 (sqrt (- (atan (+ h0 h1)) (atan h0)))
 (- (pow (atan (+ h0 h1)) 3) (pow (atan h0) 3))
 (+ (* (atan (+ h0 h1)) (atan (+ h0 h1))) (+ (* (atan h0) (atan h0)) (* (atan (+ h0 h1)) (atan h0))))
 (- (atan h0))
 (- (* (atan (+ h0 h1)) (atan (+ h0 h1))) (* (atan h0) (atan h0)))
 (+ (atan (+ h0 h1)) (atan h0))
 (+ (sqrt (atan (+ h0 h1))) (sqrt (atan h0)))
 (- (sqrt (atan (+ h0 h1))) (sqrt (atan h0)))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan h0))
 (log (atan (+ h0 h1)))
 (exp (atan (+ h0 h1)))
 (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1))))
 (cbrt (atan (+ h0 h1)))
 (* (* (atan (+ h0 h1)) (atan (+ h0 h1))) (atan (+ h0 h1)))
 (sqrt (atan (+ h0 h1)))
 (sqrt (atan (+ h0 h1)))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (atan (+ h0 h1))
 (atan (+ h0 h1))
 (atan (+ h0 h1))
0.068 * * [simplify]: iteration  0 :  75  enodes  (cost  154 )
0.070 * * [simplify]: iteration  1 :  145  enodes  (cost  145 )
0.073 * * [simplify]: iteration  2 :  289  enodes  (cost  143 )
0.077 * * [simplify]: iteration  3 :  681  enodes  (cost  142 )
0.090 * * [simplify]: iteration  4 :  2491  enodes  (cost  142 )
0.139 * * [simplify]: iteration  5 :  5001  enodes  (cost  142 )
0.140 * * * [progress]: adding candidates to table
0.189 * * [progress]: iteration 2 / 4
0.189 * * * [progress]: picking best candidate
0.191 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
0.191 * * * [progress]: localizing error
0.197 * * * [progress]: generating rewritten candidates
0.197 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.197 * * * [progress]: generating series expansions
0.197 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.197 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.197 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.197 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.198 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.198 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.198 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.198 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.198 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.198 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.198 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.199 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.199 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.199 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.199 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.200 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.200 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.200 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.200 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.200 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.200 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.200 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.201 * * * [progress]: simplifying candidates
0.201 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.201 * [simplify]: Sending expressions to egg_math:
 (log (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (exp (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
0.203 * * [simplify]: iteration  0 :  35  enodes  (cost  65 )
0.205 * * [simplify]: iteration  1 :  50  enodes  (cost  53 )
0.206 * * [simplify]: iteration  2 :  113  enodes  (cost  53 )
0.209 * * [simplify]: iteration  3 :  224  enodes  (cost  53 )
0.216 * * [simplify]: iteration  4 :  687  enodes  (cost  53 )
0.257 * * [simplify]: iteration  5 :  4299  enodes  (cost  53 )
0.508 * * [simplify]: iteration  6 :  5001  enodes  (cost  53 )
0.511 * * * [progress]: adding candidates to table
0.526 * * [progress]: iteration 3 / 4
0.526 * * * [progress]: picking best candidate
0.530 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>
0.530 * * * [progress]: localizing error
0.538 * * * [progress]: generating rewritten candidates
0.538 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.539 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.540 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.556 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.558 * * * [progress]: generating series expansions
0.559 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.559 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.559 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.559 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.559 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.559 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.559 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.559 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.559 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.560 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.560 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.560 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.560 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.564 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.564 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.564 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.564 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.564 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.564 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.565 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.565 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.565 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.565 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.565 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.565 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.568 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.569 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.569 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.569 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.569 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.570 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.570 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.570 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.570 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.570 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.570 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.571 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.572 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.575 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.575 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.575 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.575 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.575 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.575 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.575 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.575 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.575 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.575 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.576 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.576 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.577 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.578 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.579 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.579 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.579 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.579 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.579 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.580 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.580 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.580 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.580 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.580 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.580 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.581 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.582 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.585 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.585 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.585 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.585 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.585 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.585 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.585 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.585 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.585 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.586 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.586 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.586 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.587 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.589 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.590 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.590 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.590 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.590 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.590 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.590 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.590 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.590 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.590 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.591 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.591 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.591 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.591 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.591 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.591 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.592 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.592 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.592 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.592 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.592 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.592 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.593 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.593 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.593 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.593 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.593 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.593 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.594 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.594 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.594 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.594 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.594 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.594 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.594 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.595 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.595 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.595 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.595 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.595 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.595 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.595 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.596 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.596 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.596 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.596 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.596 * * * [progress]: simplifying candidates
0.598 * [simplify]: Simplifying:
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (log (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (exp (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1)
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.598 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (exp (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt 1)
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (exp (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt 1)
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (+ 1/2 1/2)
 (+ 1/2 (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) 1/2)
 (+ (/ 1 2) (/ 1 2))
 (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (+ 1 1)
 (+ (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (log (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (exp (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (cbrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (cbrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (cbrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* 1 1)
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt 1))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) 1)
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (log (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (exp (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (* (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
0.603 * * [simplify]: iteration  0 :  110  enodes  (cost  649 )
0.607 * * [simplify]: iteration  1 :  391  enodes  (cost  565 )
0.618 * * [simplify]: iteration  2 :  2248  enodes  (cost  539 )
0.700 * * [simplify]: iteration  3 :  5001  enodes  (cost  520 )
0.703 * * * [progress]: adding candidates to table
0.828 * * [progress]: iteration 4 / 4
0.828 * * * [progress]: picking best candidate
0.842 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))>
0.842 * * * [progress]: localizing error
0.853 * * * [progress]: generating rewritten candidates
0.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
0.855 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
0.856 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
0.857 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
0.906 * * * [progress]: generating series expansions
0.906 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
0.906 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.906 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.906 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.906 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.907 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.907 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.907 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.907 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.907 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.907 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.908 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.908 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.910 * [backup-simplify]: Simplify 0 into 0
0.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.911 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.912 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.912 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.912 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.912 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.912 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.912 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.913 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.913 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.913 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.913 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.913 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.914 * [backup-simplify]: Simplify 0 into 0
0.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.914 * [backup-simplify]: Simplify 0 into 0
0.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.915 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.916 * [backup-simplify]: Simplify 0 into 0
0.917 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.917 * [backup-simplify]: Simplify 0 into 0
0.917 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.917 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.917 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.917 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.917 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.918 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.918 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.918 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.918 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.918 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.918 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.919 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.919 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.920 * [backup-simplify]: Simplify 0 into 0
0.921 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.921 * [backup-simplify]: Simplify 0 into 0
0.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.922 * [backup-simplify]: Simplify 0 into 0
0.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.922 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.923 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
0.923 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.923 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.923 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.923 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.923 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.923 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.923 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.923 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.924 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.924 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.924 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.924 * [backup-simplify]: Simplify 0 into 0
0.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.925 * [backup-simplify]: Simplify 0 into 0
0.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.925 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.928 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.928 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.928 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.928 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.928 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.928 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.928 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.928 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.928 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.929 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.929 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.929 * [backup-simplify]: Simplify 0 into 0
0.930 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.930 * [backup-simplify]: Simplify 0 into 0
0.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.930 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.931 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.932 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.932 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.933 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.933 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.933 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.933 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.933 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.933 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.933 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.933 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.934 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.934 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.934 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.934 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.935 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.936 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.937 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.938 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
0.938 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.938 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
0.938 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.938 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.938 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.939 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.939 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
0.939 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.939 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.939 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.939 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.939 * [backup-simplify]: Simplify 0 into 0
0.940 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.940 * [backup-simplify]: Simplify 0 into 0
0.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.941 * [backup-simplify]: Simplify 0 into 0
0.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.941 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.942 * [backup-simplify]: Simplify 0 into 0
0.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.943 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.943 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
0.943 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.943 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.943 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.944 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.944 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
0.944 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.944 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.944 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.945 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
0.945 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.945 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.946 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.948 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.948 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
0.949 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.949 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.949 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.949 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.949 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
0.949 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.949 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.949 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.950 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
0.950 * [backup-simplify]: Simplify 0 into 0
0.951 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.951 * [backup-simplify]: Simplify 0 into 0
0.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.951 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.952 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.953 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
0.953 * [backup-simplify]: Simplify 0 into 0
0.954 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
0.954 * * * * [progress]: [ 4 / 4 ] generating series at (2)
0.954 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.954 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.954 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.954 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.954 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.954 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.955 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.955 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.955 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.955 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.955 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.955 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.956 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.956 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.956 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.957 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.957 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.957 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.957 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.957 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.957 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.957 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.958 * * * [progress]: simplifying candidates
0.959 * [simplify]: Simplifying:
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (+ 1/2 (+ (/ 1/2 2) (/ 1/2 2)))
  (+ 1/2 (+ (/ 1/2 2) (/ (/ 1 2) 2)))
  (+ 1/2 (+ (/ (/ 1 2) 2) (/ 1/2 2)))
  (+ 1/2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))
  (+ 1/2 (* 2 (/ 1/2 2)))
  (+ 1/2 (* 2 (/ (/ 1 2) 2)))
  (+ 1 (+ 1/2 1/2))
  (+ 1 (+ 1/2 (/ 1 2)))
  (+ 1 (+ (/ 1 2) 1/2))
  (+ 1 (+ (/ 1 2) (/ 1 2)))
  (+ 1 (* 2 1/2))
  (+ 1 (* 2 (/ 1 2)))
  (+ (/ 1 2) (+ (/ 1/2 2) (/ 1/2 2)))
  (+ (/ 1 2) (+ (/ 1/2 2) (/ (/ 1 2) 2)))
  (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ 1/2 2)))
  (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))
  (+ (/ 1 2) (* 2 (/ 1/2 2)))
  (+ (/ 1 2) (* 2 (/ (/ 1 2) 2)))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (+ (log (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (log (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))
  (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))
  (log (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))
  (exp (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))
  (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))
  (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))
  (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))))
  (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))
  (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.960 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (exp (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt 1)
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (exp (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt 1)
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (exp (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt 1)
 (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))
 (+ 1/2 (+ (/ 1/2 2) (/ 1/2 2)))
 (+ 1/2 (+ (/ 1/2 2) (/ (/ 1 2) 2)))
 (+ 1/2 (+ (/ (/ 1 2) 2) (/ 1/2 2)))
 (+ 1/2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))
 (+ 1/2 (* 2 (/ 1/2 2)))
 (+ 1/2 (* 2 (/ (/ 1 2) 2)))
 (+ 1 (+ 1/2 1/2))
 (+ 1 (+ 1/2 (/ 1 2)))
 (+ 1 (+ (/ 1 2) 1/2))
 (+ 1 (+ (/ 1 2) (/ 1 2)))
 (+ 1 (* 2 1/2))
 (+ 1 (* 2 (/ 1 2)))
 (+ (/ 1 2) (+ (/ 1/2 2) (/ 1/2 2)))
 (+ (/ 1 2) (+ (/ 1/2 2) (/ (/ 1 2) 2)))
 (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ 1/2 2)))
 (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))
 (+ (/ 1 2) (* 2 (/ 1/2 2)))
 (+ (/ 1 2) (* 2 (/ (/ 1 2) 2)))
 (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (+ (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (+ (log (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (log (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))))
 (+ (log (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (log (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))))
 (log (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))))
 (exp (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))))
 (* (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (* (* (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (* (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))))
 (* (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (* (* (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))))
 (* (cbrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))) (cbrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))))
 (cbrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))))
 (* (* (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))) (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))) (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))))
 (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (sqrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))))
 (sqrt (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))))
 (* (cbrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (* (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (sqrt (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (sqrt (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
0.966 * * [simplify]: iteration  0 :  193  enodes  (cost  630 )
0.969 * * [simplify]: iteration  1 :  469  enodes  (cost  496 )
0.980 * * [simplify]: iteration  2 :  1361  enodes  (cost  484 )
1.039 * * [simplify]: iteration  3 :  5001  enodes  (cost  484 )
1.042 * * * [progress]: adding candidates to table
1.190 * [progress]: [Phase 3 of 3] Extracting.
1.190 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))> #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))> #<alt (λ (N) (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))> #<alt (λ (N) (* (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>)
1.191 * * * [regime-changes]: Trying 1 branch expressions: (N)
1.191 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))> #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))> #<alt (λ (N) (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))> #<alt (λ (N) (* (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>)
1.221 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
1.221 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
1.221 * [simplify]: Sending expressions to egg_math:
 (atan2 h1 (+ 1 (* (+ h0 h1) h0)))
1.221 * * [simplify]: iteration  0 :  12  enodes  (cost  4 )
1.222 * * [simplify]: iteration  1 :  12  enodes  (cost  4 )
2.291 * [regime-testing]: Baseline error score: 0.41292680073477805
2.292 * [regime-testing]: Oracle error score: 0.36479578435773097
2.293 * [regime-testing]: End program error score: 0.41292680073477805
2.316 * [regime-testing]: Target error score: 0.41342686324259154