7.462 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.027 * * * [progress]: [2/2] Setting up program.
0.029 * [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 )
0.033 * * [simplify]: iteration  1 :  10  enodes  (cost  4 )
0.034 * * [simplify]: iteration  2 :  10  enodes  (cost  4 )
0.034 * * [progress]: iteration 1 / 4
0.034 * * * [progress]: picking best candidate
0.036 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.036 * * * [progress]: localizing error
0.042 * * * [progress]: generating rewritten candidates
0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.047 * * * [progress]: generating series expansions
0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.048 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.048 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.049 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.049 * [taylor]: Taking taylor expansion of (atan N) in N
0.049 * [backup-simplify]: Simplify (atan N) into (atan N)
0.049 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.049 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.049 * [taylor]: Taking taylor expansion of (atan N) in N
0.049 * [backup-simplify]: Simplify (atan N) into (atan N)
0.049 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.049 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.049 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.050 * [backup-simplify]: Simplify (- 0) into 0
0.050 * [backup-simplify]: Simplify (+ 0 0) into 0
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify (- 0) into 0
0.050 * [backup-simplify]: Simplify (+ 0 0) into 0
0.050 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify (- 0) into 0
0.051 * [backup-simplify]: Simplify (+ 0 0) into 0
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify (- 0) into 0
0.052 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (- 0) into 0
0.052 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (- 0) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.053 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.053 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.053 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.053 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.053 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.053 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.053 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.053 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.053 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.053 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.053 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.053 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.054 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.054 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.054 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.054 * [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
0.055 * [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 (- 0) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.057 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.057 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.057 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.057 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.057 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.057 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.057 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.057 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.058 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.058 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.058 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.058 * [backup-simplify]: Simplify (- 0) into 0
0.058 * [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 (- 0) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.061 * [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 (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.061 * * * [progress]: simplifying candidates
0.061 * [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))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
0.062 * [simplify]: Sending expressions to egg_math:
 (- (+ h0 h1) h0)
 (+ 1 (* (+ h0 h1) h0))
 (/ (exp (atan (+ h0 h1))) (exp (atan h0)))
 (log (- (atan (+ h0 h1)) (atan h0)))
 (exp (- (atan (+ h0 h1)) (atan h0)))
 (* (cbrt (- (atan (+ h0 h1)) (atan h0))) (cbrt (- (atan (+ h0 h1)) (atan h0))))
 (cbrt (- (atan (+ h0 h1)) (atan h0)))
 (* (* (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0))) (- (atan (+ h0 h1)) (atan h0)))
 (sqrt (- (atan (+ h0 h1)) (atan h0)))
 (sqrt (- (atan (+ h0 h1)) (atan h0)))
 (- (pow (atan (+ h0 h1)) 3) (pow (atan h0) 3))
 (+ (* (atan (+ h0 h1)) (atan (+ h0 h1))) (+ (* (atan h0) (atan h0)) (* (atan (+ h0 h1)) (atan h0))))
 (- (atan h0))
 (- (* (atan (+ h0 h1)) (atan (+ h0 h1))) (* (atan h0) (atan h0)))
 (+ (atan (+ h0 h1)) (atan h0))
 (+ (sqrt (atan (+ h0 h1))) (sqrt (atan h0)))
 (- (sqrt (atan (+ h0 h1))) (sqrt (atan h0)))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
0.065 * * [simplify]: iteration  0 :  72  enodes  (cost  123 )
0.067 * * [simplify]: iteration  1 :  142  enodes  (cost  114 )
0.069 * * [simplify]: iteration  2 :  286  enodes  (cost  112 )
0.074 * * [simplify]: iteration  3 :  678  enodes  (cost  111 )
0.087 * * [simplify]: iteration  4 :  2488  enodes  (cost  111 )
0.137 * * [simplify]: iteration  5 :  5001  enodes  (cost  111 )
0.138 * * * [progress]: adding candidates to table
0.174 * * [progress]: iteration 2 / 4
0.174 * * * [progress]: picking best candidate
0.175 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
0.175 * * * [progress]: localizing error
0.181 * * * [progress]: generating rewritten candidates
0.181 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.181 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
0.204 * * * [progress]: generating series expansions
0.204 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.204 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.204 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.204 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.204 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.204 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.204 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.205 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.205 * [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)))
0.205 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.205 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.205 * [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)))
0.205 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.205 * [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)))
0.206 * [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)))
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [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)))
0.206 * [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))))
0.206 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.206 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.206 * [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))))
0.206 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.207 * [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))))
0.207 * [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))))
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [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)))
0.207 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
0.207 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
0.207 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
0.207 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.207 * [taylor]: Taking taylor expansion of N in N
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.207 * [taylor]: Taking taylor expansion of N in N
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [taylor]: Taking taylor expansion of 1.0 in N
0.207 * [backup-simplify]: Simplify 1.0 into 1.0
0.207 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.207 * [taylor]: Taking taylor expansion of N in N
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.208 * [taylor]: Taking taylor expansion of N in N
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [taylor]: Taking taylor expansion of 1.0 in N
0.208 * [backup-simplify]: Simplify 1.0 into 1.0
0.208 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.208 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.208 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify (+ 1 0) into 1
0.210 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.210 * [backup-simplify]: Simplify 1.0 into 1.0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
0.210 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
0.212 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N))
0.218 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
0.218 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
0.218 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.218 * [taylor]: Taking taylor expansion of N in N
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 1 into 1
0.218 * [backup-simplify]: Simplify (/ 1 1) into 1
0.218 * [taylor]: Taking taylor expansion of 1.0 in N
0.218 * [backup-simplify]: Simplify 1.0 into 1.0
0.218 * [taylor]: Taking taylor expansion of N in N
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (+ 1 0) into 1
0.219 * [backup-simplify]: Simplify (/ 1 1) into 1
0.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.219 * [taylor]: Taking taylor expansion of N in N
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (/ 1 1) into 1
0.219 * [taylor]: Taking taylor expansion of 1.0 in N
0.219 * [backup-simplify]: Simplify 1.0 into 1.0
0.219 * [taylor]: Taking taylor expansion of N in N
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (+ 1 0) into 1
0.220 * [backup-simplify]: Simplify (/ 1 1) into 1
0.220 * [backup-simplify]: Simplify 1 into 1
0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.222 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
0.222 * [backup-simplify]: Simplify 1.0 into 1.0
0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N))
0.231 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
0.231 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
0.231 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.231 * [taylor]: Taking taylor expansion of -1 in N
0.231 * [backup-simplify]: Simplify -1 into -1
0.231 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.231 * [taylor]: Taking taylor expansion of 1.0 in N
0.231 * [backup-simplify]: Simplify 1.0 into 1.0
0.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.231 * [taylor]: Taking taylor expansion of N in N
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (/ 1 1) into 1
0.231 * [taylor]: Taking taylor expansion of N in N
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (- 1) into -1
0.232 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.232 * [backup-simplify]: Simplify (/ -1 1) into -1
0.232 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.232 * [taylor]: Taking taylor expansion of -1 in N
0.232 * [backup-simplify]: Simplify -1 into -1
0.232 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.232 * [taylor]: Taking taylor expansion of 1.0 in N
0.232 * [backup-simplify]: Simplify 1.0 into 1.0
0.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.232 * [taylor]: Taking taylor expansion of N in N
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (/ 1 1) into 1
0.232 * [taylor]: Taking taylor expansion of N in N
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (- 1) into -1
0.233 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.233 * [backup-simplify]: Simplify (/ -1 1) into -1
0.233 * [backup-simplify]: Simplify (* -1 -1) into 1
0.233 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify (- 0) into 0
0.234 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.236 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
0.236 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.237 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify (- 0) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
0.239 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (- 0) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (- 0) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify (- 0) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (- 0) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (- 0) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N))
0.258 * * * [progress]: simplifying candidates
0.258 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (+ N 1.0) N)
  (+ (log (+ N 1.0)) (log N))
  (log (* (+ N 1.0) N))
  (exp (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (cbrt (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (+ N 1.0) (sqrt N))
  (* (+ N 1.0) 1)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (- (* N N) (* 1.0 1.0)) N)
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
0.258 * [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))))
 (* (+ h0 h1) h0)
 (+ (log (+ h0 h1)) (log h0))
 (log (* (+ h0 h1) h0))
 (exp (* (+ h0 h1) h0))
 (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0))
 (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))
 (cbrt (* (+ h0 h1) h0))
 (* (* (* (+ h0 h1) h0) (* (+ h0 h1) h0)) (* (+ h0 h1) h0))
 (sqrt (* (+ h0 h1) h0))
 (sqrt (* (+ h0 h1) h0))
 (* (sqrt (+ h0 h1)) (sqrt h0))
 (* (sqrt (+ h0 h1)) (sqrt h0))
 (* (+ h0 h1) (* (cbrt h0) (cbrt h0)))
 (* (+ h0 h1) (sqrt h0))
 (* (+ h0 h1) 1)
 (* (cbrt (+ h0 h1)) h0)
 (* (sqrt (+ h0 h1)) h0)
 (* (+ h0 h1) h0)
 (* (+ h0 h1) h0)
 (* (+ (pow h0 3) (pow h1 3)) h0)
 (* (- (* h0 h0) (* h1 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)))
 (+ (pow h0 2) (* h1 h0))
 (+ (pow h0 2) (* h1 h0))
 (+ (pow h0 2) (* h1 h0))
0.261 * * [simplify]: iteration  0 :  121  enodes  (cost  151 )
0.265 * * [simplify]: iteration  1 :  432  enodes  (cost  127 )
0.275 * * [simplify]: iteration  2 :  2321  enodes  (cost  127 )
0.314 * * [simplify]: iteration  3 :  5002  enodes  (cost  127 )
0.315 * * * [progress]: adding candidates to table
0.372 * * [progress]: iteration 3 / 4
0.372 * * * [progress]: picking best candidate
0.382 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))>
0.382 * * * [progress]: localizing error
0.392 * * * [progress]: generating rewritten candidates
0.392 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
0.392 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
0.432 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1)
0.436 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2)
0.442 * * * [progress]: generating series expansions
0.442 * * * * [progress]: [ 1 / 4 ] generating series at (2)
0.442 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.443 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.443 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.443 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.443 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.443 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.443 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.444 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (+ (/ 1 N) 1.0))) (* (cbrt (+ (/ 1 N) 1.0)) (/ 1 N))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
0.444 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.444 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.444 * [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)))
0.444 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.444 * [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)))
0.444 * [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)))
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.445 * [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)))
0.445 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (+ (/ 1 (- N)) 1.0))) (* (cbrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
0.445 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.445 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.445 * [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))))
0.445 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.445 * [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))))
0.446 * [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))))
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [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)))
0.446 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
0.446 * [backup-simplify]: Simplify (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) into (pow (pow (+ N 1.0) 2) 1/3)
0.446 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0
0.446 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N
0.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N
0.446 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N
0.446 * [taylor]: Taking taylor expansion of 1/3 in N
0.446 * [backup-simplify]: Simplify 1/3 into 1/3
0.446 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N
0.446 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N
0.446 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.446 * [taylor]: Taking taylor expansion of N in N
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [taylor]: Taking taylor expansion of 1.0 in N
0.446 * [backup-simplify]: Simplify 1.0 into 1.0
0.447 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.447 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0
0.447 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.448 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0))
0.449 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3)
0.449 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N
0.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N
0.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N
0.449 * [taylor]: Taking taylor expansion of 1/3 in N
0.449 * [backup-simplify]: Simplify 1/3 into 1/3
0.449 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N
0.449 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N
0.449 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.449 * [taylor]: Taking taylor expansion of N in N
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [taylor]: Taking taylor expansion of 1.0 in N
0.449 * [backup-simplify]: Simplify 1.0 into 1.0
0.450 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.450 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0
0.450 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.451 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0))
0.452 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3)
0.452 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3)
0.452 * [backup-simplify]: Simplify (+ 1 0) into 1
0.453 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0
0.457 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0
0.458 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (log 1.0))) into 0.6666666666666666
0.461 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow 1.0 1/3))
0.462 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow 1.0 1/3)) into (* 0.6666666666666666 (pow 1.0 1/3))
0.462 * [backup-simplify]: Simplify (+ 0 0) into 0
0.463 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1
0.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))
0.476 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (log 1.0)))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))
0.485 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))))
0.488 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))))
0.492 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
0.492 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (+ (/ 1 N) 1.0))) into (pow (pow (+ (/ 1 N) 1.0) 2) 1/3)
0.492 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0
0.492 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N
0.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N
0.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N
0.492 * [taylor]: Taking taylor expansion of 1/3 in N
0.492 * [backup-simplify]: Simplify 1/3 into 1/3
0.492 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N
0.492 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.492 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.492 * [taylor]: Taking taylor expansion of N in N
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (/ 1 1) into 1
0.493 * [taylor]: Taking taylor expansion of 1.0 in N
0.493 * [backup-simplify]: Simplify 1.0 into 1.0
0.493 * [backup-simplify]: Simplify (+ 1 0) into 1
0.493 * [backup-simplify]: Simplify (* 1 1) into 1
0.493 * [backup-simplify]: Simplify (log 1) into 0
0.494 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
0.494 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
0.494 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
0.494 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N
0.494 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N
0.494 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N
0.494 * [taylor]: Taking taylor expansion of 1/3 in N
0.494 * [backup-simplify]: Simplify 1/3 into 1/3
0.494 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N
0.494 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.494 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.494 * [taylor]: Taking taylor expansion of N in N
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 1 into 1
0.494 * [backup-simplify]: Simplify (/ 1 1) into 1
0.494 * [taylor]: Taking taylor expansion of 1.0 in N
0.494 * [backup-simplify]: Simplify 1.0 into 1.0
0.494 * [backup-simplify]: Simplify (+ 1 0) into 1
0.495 * [backup-simplify]: Simplify (* 1 1) into 1
0.495 * [backup-simplify]: Simplify (log 1) into 0
0.495 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
0.495 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
0.495 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
0.495 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.497 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0
0.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0
0.501 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
0.501 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 2 (log N))))) into 0.6666666666666666
0.509 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3))
0.510 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3))
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ 0 0) into 0
0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0
0.520 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0
0.520 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
0.521 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333)
0.524 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
0.524 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
0.525 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
0.525 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (+ (/ 1 (- N)) 1.0))) into (pow (pow (- 1.0 (/ 1 N)) 2) 1/3)
0.525 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0
0.525 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N
0.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N
0.525 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N
0.525 * [taylor]: Taking taylor expansion of 1/3 in N
0.525 * [backup-simplify]: Simplify 1/3 into 1/3
0.525 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N
0.525 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N
0.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.526 * [taylor]: Taking taylor expansion of 1.0 in N
0.526 * [backup-simplify]: Simplify 1.0 into 1.0
0.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.526 * [taylor]: Taking taylor expansion of N in N
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (/ 1 1) into 1
0.526 * [backup-simplify]: Simplify (- 1) into -1
0.526 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.527 * [backup-simplify]: Simplify (* -1 -1) into 1
0.527 * [backup-simplify]: Simplify (log 1) into 0
0.527 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
0.527 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
0.527 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
0.527 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N
0.527 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N
0.527 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N
0.527 * [taylor]: Taking taylor expansion of 1/3 in N
0.527 * [backup-simplify]: Simplify 1/3 into 1/3
0.527 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N
0.527 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N
0.527 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.527 * [taylor]: Taking taylor expansion of 1.0 in N
0.527 * [backup-simplify]: Simplify 1.0 into 1.0
0.527 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.527 * [taylor]: Taking taylor expansion of N in N
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 1 into 1
0.528 * [backup-simplify]: Simplify (/ 1 1) into 1
0.528 * [backup-simplify]: Simplify (- 1) into -1
0.528 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.528 * [backup-simplify]: Simplify (* -1 -1) into 1
0.529 * [backup-simplify]: Simplify (log 1) into 0
0.529 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
0.529 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
0.529 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
0.529 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (- 0) into 0
0.530 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.531 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0)
0.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0
0.535 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
0.536 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 2 (log N))))) into (- 0.6666666666666666)
0.538 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3))
0.538 * [backup-simplify]: Simplify (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3))
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (- 0) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.541 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0
0.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0
0.549 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
0.550 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333)
0.553 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
0.554 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
0.554 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.6666666666666666 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
0.554 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1)
0.554 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3)
0.554 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0
0.554 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
0.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
0.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
0.554 * [taylor]: Taking taylor expansion of 1/3 in N
0.554 * [backup-simplify]: Simplify 1/3 into 1/3
0.554 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.554 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.554 * [taylor]: Taking taylor expansion of N in N
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [taylor]: Taking taylor expansion of 1.0 in N
0.554 * [backup-simplify]: Simplify 1.0 into 1.0
0.555 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.555 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.556 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0))
0.557 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3)
0.557 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
0.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
0.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
0.557 * [taylor]: Taking taylor expansion of 1/3 in N
0.557 * [backup-simplify]: Simplify 1/3 into 1/3
0.557 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.557 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.557 * [taylor]: Taking taylor expansion of N in N
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.557 * [taylor]: Taking taylor expansion of 1.0 in N
0.557 * [backup-simplify]: Simplify 1.0 into 1.0
0.557 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.557 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.558 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0))
0.559 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3)
0.559 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3)
0.559 * [backup-simplify]: Simplify (+ 1 0) into 1
0.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
0.563 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333
0.566 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3))
0.567 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3))
0.567 * [backup-simplify]: Simplify (+ 0 0) into 0
0.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
0.575 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2))))
0.584 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3))
0.586 * [backup-simplify]: Simplify (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3))
0.590 * [backup-simplify]: Simplify (+ (* (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) (pow N 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
0.591 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3)
0.591 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0
0.591 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
0.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
0.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
0.591 * [taylor]: Taking taylor expansion of 1/3 in N
0.591 * [backup-simplify]: Simplify 1/3 into 1/3
0.591 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.591 * [taylor]: Taking taylor expansion of N in N
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 1 into 1
0.591 * [backup-simplify]: Simplify (/ 1 1) into 1
0.591 * [taylor]: Taking taylor expansion of 1.0 in N
0.591 * [backup-simplify]: Simplify 1.0 into 1.0
0.591 * [backup-simplify]: Simplify (+ 1 0) into 1
0.592 * [backup-simplify]: Simplify (log 1) into 0
0.592 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.592 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
0.592 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
0.592 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
0.592 * [taylor]: Taking taylor expansion of 1/3 in N
0.592 * [backup-simplify]: Simplify 1/3 into 1/3
0.592 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.592 * [taylor]: Taking taylor expansion of N in N
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 1 into 1
0.592 * [backup-simplify]: Simplify (/ 1 1) into 1
0.592 * [taylor]: Taking taylor expansion of 1.0 in N
0.592 * [backup-simplify]: Simplify 1.0 into 1.0
0.593 * [backup-simplify]: Simplify (+ 1 0) into 1
0.593 * [backup-simplify]: Simplify (log 1) into 0
0.593 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.593 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
0.593 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
0.593 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.594 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
0.605 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.605 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333
0.606 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3))
0.606 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3))
0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.607 * [backup-simplify]: Simplify (+ 0 0) into 0
0.613 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
0.614 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.614 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666)
0.617 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3))
0.617 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3))
0.618 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
0.618 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3)
0.618 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0
0.618 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
0.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
0.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
0.618 * [taylor]: Taking taylor expansion of 1/3 in N
0.618 * [backup-simplify]: Simplify 1/3 into 1/3
0.618 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.618 * [taylor]: Taking taylor expansion of 1.0 in N
0.618 * [backup-simplify]: Simplify 1.0 into 1.0
0.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.618 * [taylor]: Taking taylor expansion of N in N
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify 1 into 1
0.618 * [backup-simplify]: Simplify (/ 1 1) into 1
0.619 * [backup-simplify]: Simplify (- 1) into -1
0.619 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.619 * [backup-simplify]: Simplify (log -1) into (log -1)
0.620 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.620 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
0.620 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
0.620 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
0.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
0.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
0.620 * [taylor]: Taking taylor expansion of 1/3 in N
0.620 * [backup-simplify]: Simplify 1/3 into 1/3
0.620 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.620 * [taylor]: Taking taylor expansion of 1.0 in N
0.620 * [backup-simplify]: Simplify 1.0 into 1.0
0.620 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.621 * [taylor]: Taking taylor expansion of N in N
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify 1 into 1
0.621 * [backup-simplify]: Simplify (/ 1 1) into 1
0.621 * [backup-simplify]: Simplify (- 1) into -1
0.621 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.621 * [backup-simplify]: Simplify (log -1) into (log -1)
0.622 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.622 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
0.623 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
0.623 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.624 * [backup-simplify]: Simplify (- 0) into 0
0.624 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
0.628 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.629 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333)
0.631 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N)))))
0.631 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N)))))
0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.632 * [backup-simplify]: Simplify (- 0) into 0
0.632 * [backup-simplify]: Simplify (+ 0 0) into 0
0.638 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
0.639 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.640 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666)
0.644 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N)))))
0.644 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N)))))
0.645 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
0.645 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2)
0.645 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3)
0.645 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0
0.645 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
0.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
0.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
0.645 * [taylor]: Taking taylor expansion of 1/3 in N
0.645 * [backup-simplify]: Simplify 1/3 into 1/3
0.645 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.646 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.646 * [taylor]: Taking taylor expansion of N in N
0.646 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify 1 into 1
0.646 * [taylor]: Taking taylor expansion of 1.0 in N
0.646 * [backup-simplify]: Simplify 1.0 into 1.0
0.646 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.646 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.647 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0))
0.648 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3)
0.648 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N
0.648 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N
0.648 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N
0.648 * [taylor]: Taking taylor expansion of 1/3 in N
0.648 * [backup-simplify]: Simplify 1/3 into 1/3
0.648 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.648 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.648 * [taylor]: Taking taylor expansion of N in N
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify 1 into 1
0.648 * [taylor]: Taking taylor expansion of 1.0 in N
0.648 * [backup-simplify]: Simplify 1.0 into 1.0
0.648 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.648 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.649 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0))
0.650 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3)
0.650 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3)
0.650 * [backup-simplify]: Simplify (+ 1 0) into 1
0.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
0.654 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333
0.657 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3))
0.658 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3))
0.658 * [backup-simplify]: Simplify (+ 0 0) into 0
0.664 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
0.666 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2))))
0.675 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3))
0.678 * [backup-simplify]: Simplify (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3))
0.681 * [backup-simplify]: Simplify (+ (* (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) (pow N 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
0.682 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3)
0.682 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0
0.682 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
0.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
0.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
0.682 * [taylor]: Taking taylor expansion of 1/3 in N
0.682 * [backup-simplify]: Simplify 1/3 into 1/3
0.682 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.682 * [taylor]: Taking taylor expansion of N in N
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 1 into 1
0.682 * [backup-simplify]: Simplify (/ 1 1) into 1
0.682 * [taylor]: Taking taylor expansion of 1.0 in N
0.682 * [backup-simplify]: Simplify 1.0 into 1.0
0.682 * [backup-simplify]: Simplify (+ 1 0) into 1
0.683 * [backup-simplify]: Simplify (log 1) into 0
0.683 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.683 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
0.683 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
0.683 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N
0.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N
0.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N
0.683 * [taylor]: Taking taylor expansion of 1/3 in N
0.683 * [backup-simplify]: Simplify 1/3 into 1/3
0.683 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.683 * [taylor]: Taking taylor expansion of N in N
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify 1 into 1
0.683 * [backup-simplify]: Simplify (/ 1 1) into 1
0.683 * [taylor]: Taking taylor expansion of 1.0 in N
0.683 * [backup-simplify]: Simplify 1.0 into 1.0
0.684 * [backup-simplify]: Simplify (+ 1 0) into 1
0.684 * [backup-simplify]: Simplify (log 1) into 0
0.684 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.684 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
0.684 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
0.684 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.685 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
0.689 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.696 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333
0.697 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3))
0.698 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3))
0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.698 * [backup-simplify]: Simplify (+ 0 0) into 0
0.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
0.705 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.705 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666)
0.708 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3))
0.708 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3))
0.709 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
0.709 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3)
0.709 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0
0.709 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
0.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
0.709 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
0.709 * [taylor]: Taking taylor expansion of 1/3 in N
0.709 * [backup-simplify]: Simplify 1/3 into 1/3
0.709 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.709 * [taylor]: Taking taylor expansion of 1.0 in N
0.709 * [backup-simplify]: Simplify 1.0 into 1.0
0.709 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.709 * [taylor]: Taking taylor expansion of N in N
0.709 * [backup-simplify]: Simplify 0 into 0
0.709 * [backup-simplify]: Simplify 1 into 1
0.710 * [backup-simplify]: Simplify (/ 1 1) into 1
0.710 * [backup-simplify]: Simplify (- 1) into -1
0.710 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.710 * [backup-simplify]: Simplify (log -1) into (log -1)
0.711 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.711 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
0.711 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
0.711 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N
0.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N
0.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N
0.711 * [taylor]: Taking taylor expansion of 1/3 in N
0.711 * [backup-simplify]: Simplify 1/3 into 1/3
0.711 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.712 * [taylor]: Taking taylor expansion of 1.0 in N
0.712 * [backup-simplify]: Simplify 1.0 into 1.0
0.712 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.712 * [taylor]: Taking taylor expansion of N in N
0.712 * [backup-simplify]: Simplify 0 into 0
0.712 * [backup-simplify]: Simplify 1 into 1
0.712 * [backup-simplify]: Simplify (/ 1 1) into 1
0.712 * [backup-simplify]: Simplify (- 1) into -1
0.712 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.713 * [backup-simplify]: Simplify (log -1) into (log -1)
0.713 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.713 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
0.714 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
0.714 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.715 * [backup-simplify]: Simplify (- 0) into 0
0.715 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
0.719 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.720 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333)
0.722 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N)))))
0.722 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N)))))
0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.723 * [backup-simplify]: Simplify (- 0) into 0
0.723 * [backup-simplify]: Simplify (+ 0 0) into 0
0.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
0.730 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.731 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666)
0.735 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N)))))
0.735 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N)))))
0.736 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
0.736 * * * [progress]: simplifying candidates
0.738 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))
  (+ 1/3 1/3)
  (+ 1 1)
  (* (+ N 1.0) (+ N 1.0))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (+ 1 1)
  (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))))
  (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (* (+ N 1.0) (+ N 1.0))
  (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))))
  (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (* (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3))))
  (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))
  (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0))))
  (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0)))
  (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3))))
  (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))
  (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))
  (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))
  (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))
  (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))
  (* (cbrt 1) (cbrt 1))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (* (cbrt 1) (cbrt 1))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (* (cbrt 1) (cbrt 1))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (* (cbrt 1) (cbrt 1))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))))
  (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))))
  (* 1 1)
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))
  (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))
  (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))))
  (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))))
  (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))
  (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))
  (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))))
  (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))))
  (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0))))
  (* (cbrt (+ N 1.0)) (cbrt 1))
  (* (cbrt (+ N 1.0)) (cbrt 1))
  (* (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))))
  (* (cbrt (+ N 1.0)) (sqrt (cbrt (+ N 1.0))))
  (* (cbrt (+ N 1.0)) 1)
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))
  (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0)))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))
  (* (sqrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))))
  (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0))))
  (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ N 1.0)))
  (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)))
  (log (cbrt (+ N 1.0)))
  (exp (cbrt (+ N 1.0)))
  (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt (+ (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (log (cbrt (+ N 1.0)))
  (exp (cbrt (+ N 1.0)))
  (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt (sqrt (+ N 1.0)))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt 1)
  (cbrt (+ N 1.0))
  (cbrt (+ (pow N 3) (pow 1.0 3)))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))
  (cbrt (cbrt (+ N 1.0)))
  (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (sqrt (cbrt (+ N 1.0)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
  (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
  (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
  (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
  (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
  (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
  (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
  (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)))
  (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
0.738 * [simplify]: Sending expressions to egg_math:
 (log (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0)))))
 (exp (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0)))))
 (* (cbrt (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0))))) (cbrt (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0))))))
 (cbrt (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0)))))
 (* (* (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0)))) (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0))))) (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0)))))
 (sqrt (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0)))))
 (sqrt (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0)))))
 (+ 1/3 1/3)
 (+ 1 1)
 (* (+ h0 h1) (+ h0 h1))
 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))
 (+ 1 1)
 (+ (log (cbrt (+ h0 h1))) (log (cbrt (+ h0 h1))))
 (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))
 (exp (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))
 (* (+ h0 h1) (+ h0 h1))
 (* (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))
 (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))
 (* (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))
 (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))
 (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))
 (* (cbrt (+ (pow h0 3) (pow h1 3))) (cbrt (+ (pow h0 3) (pow h1 3))))
 (* (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))))
 (* (cbrt (+ (pow h0 3) (pow h1 3))) (cbrt (- (* h0 h0) (* h1 h1))))
 (* (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (- h0 h1)))
 (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (+ (pow h0 3) (pow h1 3))))
 (* (cbrt (- h0 h1)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))))
 (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1))))
 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))
 (* (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))
 (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1))))
 (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))
 (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))
 (* (cbrt 1) (cbrt 1))
 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))
 (* (cbrt 1) (cbrt 1))
 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))
 (* (cbrt 1) (cbrt 1))
 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))
 (* (cbrt 1) (cbrt 1))
 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))
 (* (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))))
 (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1))))
 (* (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1))))
 (* (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1))))
 (* 1 1)
 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))
 (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))
 (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))
 (* (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1))))
 (* (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1))))
 (* (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))
 (* (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))
 (* (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1))))
 (* (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1))))
 (* 2 1/3)
 (* 2 1)
 (* (cbrt (+ h0 h1)) (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))
 (* (cbrt (+ h0 h1)) (cbrt (sqrt (+ h0 h1))))
 (* (cbrt (+ h0 h1)) (cbrt 1))
 (* (cbrt (+ h0 h1)) (cbrt 1))
 (* (cbrt (+ h0 h1)) (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))))
 (* (cbrt (+ h0 h1)) (sqrt (cbrt (+ h0 h1))))
 (* (cbrt (+ h0 h1)) 1)
 (* (cbrt (cbrt (+ h0 h1))) (cbrt (+ h0 h1)))
 (* (cbrt (sqrt (+ h0 h1))) (cbrt (+ h0 h1)))
 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))
 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))
 (* (cbrt (cbrt (+ h0 h1))) (cbrt (+ h0 h1)))
 (* (sqrt (cbrt (+ h0 h1))) (cbrt (+ h0 h1)))
 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))
 (* (cbrt (+ h0 h1)) (cbrt (+ (pow h0 3) (pow h1 3))))
 (* (cbrt (+ h0 h1)) (cbrt (- (* h0 h0) (* h1 h1))))
 (* (cbrt (+ (pow h0 3) (pow h1 3))) (cbrt (+ h0 h1)))
 (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (+ h0 h1)))
 (log (cbrt (+ h0 h1)))
 (exp (cbrt (+ h0 h1)))
 (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))
 (cbrt (cbrt (+ h0 h1)))
 (cbrt (sqrt (+ h0 h1)))
 (cbrt (sqrt (+ h0 h1)))
 (cbrt 1)
 (cbrt (+ h0 h1))
 (cbrt 1)
 (cbrt (+ h0 h1))
 (cbrt (+ (pow h0 3) (pow h1 3)))
 (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))
 (cbrt (- (* h0 h0) (* h1 h1)))
 (cbrt (- h0 h1))
 (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1))))
 (cbrt (cbrt (+ h0 h1)))
 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (cbrt (+ h0 h1)))
 (sqrt (cbrt (+ h0 h1)))
 (sqrt (cbrt (+ h0 h1)))
 (log (cbrt (+ h0 h1)))
 (exp (cbrt (+ h0 h1)))
 (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))
 (cbrt (cbrt (+ h0 h1)))
 (cbrt (sqrt (+ h0 h1)))
 (cbrt (sqrt (+ h0 h1)))
 (cbrt 1)
 (cbrt (+ h0 h1))
 (cbrt 1)
 (cbrt (+ h0 h1))
 (cbrt (+ (pow h0 3) (pow h1 3)))
 (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))
 (cbrt (- (* h0 h0) (* h1 h1)))
 (cbrt (- h0 h1))
 (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1))))
 (cbrt (cbrt (+ h0 h1)))
 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (cbrt (+ h0 h1)))
 (sqrt (cbrt (+ h0 h1)))
 (sqrt (cbrt (+ h0 h1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1)))
 (- (+ (pow h1 1/3) (+ (* h2 (* h0 (pow h1 1/3))) (* h3 (* (pow h0 2) (pow h1 1/3))))) (* h2 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3))))
 (- (+ (pow (/ 1 h0) -2/3) (* h2 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3)))
 (- (+ (pow (/ -1 h0) -2/3) (* h2 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3)))
 (- (+ (pow h1 1/3) (+ (* h6 (* h0 (pow h1 1/3))) (* h5 (* (pow h0 2) (pow h1 1/3))))) (* 1/6 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3))))
 (- (+ (pow (/ 1 h0) -1/3) (* h6 (pow (/ 1 (pow h0 2)) 1/3))) (* h4 (pow (/ 1 (pow h0 5)) 1/3)))
 (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) (* h6 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) h0))) (* h4 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) (pow h0 2))))
 (- (+ (pow h1 1/3) (+ (* h6 (* h0 (pow h1 1/3))) (* h5 (* (pow h0 2) (pow h1 1/3))))) (* 1/6 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3))))
 (- (+ (pow (/ 1 h0) -1/3) (* h6 (pow (/ 1 (pow h0 2)) 1/3))) (* h4 (pow (/ 1 (pow h0 5)) 1/3)))
 (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) (* h6 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) h0))) (* h4 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) (pow h0 2))))
0.743 * * [simplify]: iteration  0 :  330  enodes  (cost  806 )
0.749 * * [simplify]: iteration  1 :  1079  enodes  (cost  745 )
0.772 * * [simplify]: iteration  2 :  4794  enodes  (cost  696 )
0.889 * * [simplify]: iteration  3 :  5001  enodes  (cost  692 )
0.893 * * * [progress]: adding candidates to table
1.146 * * [progress]: iteration 4 / 4
1.146 * * * [progress]: picking best candidate
1.162 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))>
1.162 * * * [progress]: localizing error
1.180 * * * [progress]: generating rewritten candidates
1.180 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2)
1.186 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 1)
1.192 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1)
1.238 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1.241 * * * [progress]: generating series expansions
1.241 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2)
1.242 * [backup-simplify]: Simplify (cbrt (- (* N N) (* 1.0 1.0))) into (pow (- (pow N 2) 1.0) 1/3)
1.242 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in (N) around 0
1.242 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N
1.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N
1.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N
1.242 * [taylor]: Taking taylor expansion of 1/3 in N
1.242 * [backup-simplify]: Simplify 1/3 into 1/3
1.242 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N
1.242 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N
1.242 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.242 * [taylor]: Taking taylor expansion of N in N
1.242 * [backup-simplify]: Simplify 0 into 0
1.242 * [backup-simplify]: Simplify 1 into 1
1.242 * [taylor]: Taking taylor expansion of 1.0 in N
1.242 * [backup-simplify]: Simplify 1.0 into 1.0
1.242 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.243 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.244 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0))
1.245 * [backup-simplify]: Simplify (* 1/3 (log (- 1.0))) into (* 1/3 (log (- 1.0)))
1.246 * [backup-simplify]: Simplify (exp (* 1/3 (log (- 1.0)))) into (pow (- 1.0) 1/3)
1.246 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N
1.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N
1.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N
1.246 * [taylor]: Taking taylor expansion of 1/3 in N
1.246 * [backup-simplify]: Simplify 1/3 into 1/3
1.246 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N
1.246 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N
1.246 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.246 * [taylor]: Taking taylor expansion of N in N
1.246 * [backup-simplify]: Simplify 0 into 0
1.246 * [backup-simplify]: Simplify 1 into 1
1.246 * [taylor]: Taking taylor expansion of 1.0 in N
1.246 * [backup-simplify]: Simplify 1.0 into 1.0
1.246 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.247 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.247 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0))
1.248 * [backup-simplify]: Simplify (* 1/3 (log (- 1.0))) into (* 1/3 (log (- 1.0)))
1.250 * [backup-simplify]: Simplify (exp (* 1/3 (log (- 1.0)))) into (pow (- 1.0) 1/3)
1.250 * [backup-simplify]: Simplify (pow (- 1.0) 1/3) into (pow (- 1.0) 1/3)
1.251 * [backup-simplify]: Simplify (- 0) into 0
1.251 * [backup-simplify]: Simplify (+ 0 0) into 0
1.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
1.252 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (- 1.0)))) into 0
1.253 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.253 * [backup-simplify]: Simplify 0 into 0
1.254 * [backup-simplify]: Simplify (* 1 1) into 1
1.254 * [backup-simplify]: Simplify (- 0) into 0
1.254 * [backup-simplify]: Simplify (+ 1 0) into 1
1.260 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (- 1.0) 1)))) 2) into -1.0
1.262 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))) into (- 0.3333333333333333)
1.268 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1.0 1/3))
1.269 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow -1.0 1/3)) into (* -0.3333333333333333 (pow -1.0 1/3))
1.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.269 * [backup-simplify]: Simplify (- 0) into 0
1.270 * [backup-simplify]: Simplify (+ 0 0) into 0
1.273 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (- 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0) 1)))) 6) into 0
1.274 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (log (- 1.0)))))) into 0
1.276 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.276 * [backup-simplify]: Simplify 0 into 0
1.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.277 * [backup-simplify]: Simplify (- 0) into 0
1.277 * [backup-simplify]: Simplify (+ 0 0) into 0
1.300 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow (- 1.0) 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow (- 1.0) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0) 1)))) 24) into (/ -1/2 (pow -1.0 2))
1.304 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow -1.0 2))) (+ (* 0 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))))) into (- (* 1/6 (/ 1 (pow -1.0 2))))
1.320 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow -1.0 2)))) 1) 1)))) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow -1.0 2)))) (pow -1.0 1/3))
1.323 * [backup-simplify]: Simplify (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow -1.0 2)))) (pow -1.0 1/3)) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow -1.0 2)))) (pow -1.0 1/3))
1.327 * [backup-simplify]: Simplify (+ (* (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow -1.0 2)))) (pow -1.0 1/3)) (pow N 4)) (+ (* (* -0.3333333333333333 (pow -1.0 1/3)) (pow N 2)) (pow (- 1.0) 1/3))) into (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (- 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3)))))
1.328 * [backup-simplify]: Simplify (cbrt (- (* (/ 1 N) (/ 1 N)) (* 1.0 1.0))) into (pow (- (/ 1 (pow N 2)) 1.0) 1/3)
1.328 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0
1.328 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
1.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
1.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
1.328 * [taylor]: Taking taylor expansion of 1/3 in N
1.328 * [backup-simplify]: Simplify 1/3 into 1/3
1.328 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
1.328 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.328 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.328 * [taylor]: Taking taylor expansion of N in N
1.328 * [backup-simplify]: Simplify 0 into 0
1.328 * [backup-simplify]: Simplify 1 into 1
1.328 * [backup-simplify]: Simplify (* 1 1) into 1
1.328 * [backup-simplify]: Simplify (/ 1 1) into 1
1.328 * [taylor]: Taking taylor expansion of 1.0 in N
1.328 * [backup-simplify]: Simplify 1.0 into 1.0
1.329 * [backup-simplify]: Simplify (+ 1 0) into 1
1.329 * [backup-simplify]: Simplify (log 1) into 0
1.329 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.329 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.329 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.329 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
1.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
1.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
1.329 * [taylor]: Taking taylor expansion of 1/3 in N
1.329 * [backup-simplify]: Simplify 1/3 into 1/3
1.329 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
1.329 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.329 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.329 * [taylor]: Taking taylor expansion of N in N
1.330 * [backup-simplify]: Simplify 0 into 0
1.330 * [backup-simplify]: Simplify 1 into 1
1.330 * [backup-simplify]: Simplify (* 1 1) into 1
1.330 * [backup-simplify]: Simplify (/ 1 1) into 1
1.330 * [taylor]: Taking taylor expansion of 1.0 in N
1.330 * [backup-simplify]: Simplify 1.0 into 1.0
1.330 * [backup-simplify]: Simplify (+ 1 0) into 1
1.331 * [backup-simplify]: Simplify (log 1) into 0
1.331 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.331 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.331 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.331 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
1.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.332 * [backup-simplify]: Simplify (+ 0 0) into 0
1.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.333 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.334 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
1.334 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
1.334 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.335 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.336 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.343 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1.0)) 1)) (pow 1 1)))) 2) into -1.0
1.343 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.344 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333)
1.346 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
1.347 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
1.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.348 * [backup-simplify]: Simplify (- 0) into 0
1.348 * [backup-simplify]: Simplify (+ 0 0) into 0
1.351 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1.0)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1.351 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.352 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
1.353 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.353 * [backup-simplify]: Simplify 0 into 0
1.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.355 * [backup-simplify]: Simplify (- 0) into 0
1.355 * [backup-simplify]: Simplify (+ 0 0) into 0
1.372 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1.0)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1.0)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -0.5
1.372 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.373 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 0.16666666666666666)
1.380 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
1.380 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
1.381 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 4)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (pow (/ 1 N) -2/3))) into (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
1.381 * [backup-simplify]: Simplify (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) (* 1.0 1.0))) into (pow (- (/ 1 (pow N 2)) 1.0) 1/3)
1.381 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0
1.381 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
1.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
1.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
1.381 * [taylor]: Taking taylor expansion of 1/3 in N
1.381 * [backup-simplify]: Simplify 1/3 into 1/3
1.381 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
1.381 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.381 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.381 * [taylor]: Taking taylor expansion of N in N
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify 1 into 1
1.382 * [backup-simplify]: Simplify (* 1 1) into 1
1.382 * [backup-simplify]: Simplify (/ 1 1) into 1
1.382 * [taylor]: Taking taylor expansion of 1.0 in N
1.382 * [backup-simplify]: Simplify 1.0 into 1.0
1.382 * [backup-simplify]: Simplify (+ 1 0) into 1
1.382 * [backup-simplify]: Simplify (log 1) into 0
1.389 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.390 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.390 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.390 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
1.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
1.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
1.390 * [taylor]: Taking taylor expansion of 1/3 in N
1.390 * [backup-simplify]: Simplify 1/3 into 1/3
1.390 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
1.390 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.390 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.390 * [taylor]: Taking taylor expansion of N in N
1.390 * [backup-simplify]: Simplify 0 into 0
1.390 * [backup-simplify]: Simplify 1 into 1
1.390 * [backup-simplify]: Simplify (* 1 1) into 1
1.390 * [backup-simplify]: Simplify (/ 1 1) into 1
1.390 * [taylor]: Taking taylor expansion of 1.0 in N
1.391 * [backup-simplify]: Simplify 1.0 into 1.0
1.391 * [backup-simplify]: Simplify (+ 1 0) into 1
1.391 * [backup-simplify]: Simplify (log 1) into 0
1.391 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.391 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.391 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.392 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
1.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.393 * [backup-simplify]: Simplify (+ 0 0) into 0
1.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.394 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.394 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
1.394 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.396 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.396 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.403 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1.0)) 1)) (pow 1 1)))) 2) into -1.0
1.403 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.404 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333)
1.406 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
1.407 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
1.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.408 * [backup-simplify]: Simplify (- 0) into 0
1.408 * [backup-simplify]: Simplify (+ 0 0) into 0
1.411 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1.0)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1.411 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.412 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
1.413 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.413 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.415 * [backup-simplify]: Simplify (- 0) into 0
1.415 * [backup-simplify]: Simplify (+ 0 0) into 0
1.432 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1.0)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1.0)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -0.5
1.433 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.434 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 0.16666666666666666)
1.440 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
1.440 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
1.441 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 4)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (pow (/ 1 (- N)) -2/3))) into (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
1.441 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 1)
1.441 * [backup-simplify]: Simplify (cbrt (- (* N N) (* 1.0 1.0))) into (pow (- (pow N 2) 1.0) 1/3)
1.441 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in (N) around 0
1.441 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N
1.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N
1.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N
1.442 * [taylor]: Taking taylor expansion of 1/3 in N
1.442 * [backup-simplify]: Simplify 1/3 into 1/3
1.442 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N
1.442 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N
1.442 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.442 * [taylor]: Taking taylor expansion of N in N
1.442 * [backup-simplify]: Simplify 0 into 0
1.442 * [backup-simplify]: Simplify 1 into 1
1.442 * [taylor]: Taking taylor expansion of 1.0 in N
1.442 * [backup-simplify]: Simplify 1.0 into 1.0
1.442 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.442 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.443 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0))
1.444 * [backup-simplify]: Simplify (* 1/3 (log (- 1.0))) into (* 1/3 (log (- 1.0)))
1.445 * [backup-simplify]: Simplify (exp (* 1/3 (log (- 1.0)))) into (pow (- 1.0) 1/3)
1.445 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N
1.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N
1.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N
1.445 * [taylor]: Taking taylor expansion of 1/3 in N
1.445 * [backup-simplify]: Simplify 1/3 into 1/3
1.445 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N
1.445 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N
1.445 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.445 * [taylor]: Taking taylor expansion of N in N
1.445 * [backup-simplify]: Simplify 0 into 0
1.445 * [backup-simplify]: Simplify 1 into 1
1.445 * [taylor]: Taking taylor expansion of 1.0 in N
1.445 * [backup-simplify]: Simplify 1.0 into 1.0
1.446 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.446 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.447 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0))
1.447 * [backup-simplify]: Simplify (* 1/3 (log (- 1.0))) into (* 1/3 (log (- 1.0)))
1.449 * [backup-simplify]: Simplify (exp (* 1/3 (log (- 1.0)))) into (pow (- 1.0) 1/3)
1.449 * [backup-simplify]: Simplify (pow (- 1.0) 1/3) into (pow (- 1.0) 1/3)
1.450 * [backup-simplify]: Simplify (- 0) into 0
1.450 * [backup-simplify]: Simplify (+ 0 0) into 0
1.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
1.451 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (- 1.0)))) into 0
1.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.452 * [backup-simplify]: Simplify 0 into 0
1.453 * [backup-simplify]: Simplify (* 1 1) into 1
1.453 * [backup-simplify]: Simplify (- 0) into 0
1.453 * [backup-simplify]: Simplify (+ 1 0) into 1
1.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (- 1.0) 1)))) 2) into -1.0
1.461 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))) into (- 0.3333333333333333)
1.466 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1.0 1/3))
1.466 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow -1.0 1/3)) into (* -0.3333333333333333 (pow -1.0 1/3))
1.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.467 * [backup-simplify]: Simplify (- 0) into 0
1.467 * [backup-simplify]: Simplify (+ 0 0) into 0
1.470 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (- 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0) 1)))) 6) into 0
1.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (log (- 1.0)))))) into 0
1.480 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.480 * [backup-simplify]: Simplify 0 into 0
1.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.480 * [backup-simplify]: Simplify (- 0) into 0
1.481 * [backup-simplify]: Simplify (+ 0 0) into 0
1.498 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow (- 1.0) 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow (- 1.0) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0) 1)))) 24) into (/ -1/2 (pow -1.0 2))
1.501 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow -1.0 2))) (+ (* 0 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))))) into (- (* 1/6 (/ 1 (pow -1.0 2))))
1.516 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow -1.0 2)))) 1) 1)))) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow -1.0 2)))) (pow -1.0 1/3))
1.518 * [backup-simplify]: Simplify (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow -1.0 2)))) (pow -1.0 1/3)) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow -1.0 2)))) (pow -1.0 1/3))
1.523 * [backup-simplify]: Simplify (+ (* (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow -1.0 2)))) (pow -1.0 1/3)) (pow N 4)) (+ (* (* -0.3333333333333333 (pow -1.0 1/3)) (pow N 2)) (pow (- 1.0) 1/3))) into (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (- 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3)))))
1.523 * [backup-simplify]: Simplify (cbrt (- (* (/ 1 N) (/ 1 N)) (* 1.0 1.0))) into (pow (- (/ 1 (pow N 2)) 1.0) 1/3)
1.523 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0
1.523 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
1.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
1.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
1.523 * [taylor]: Taking taylor expansion of 1/3 in N
1.523 * [backup-simplify]: Simplify 1/3 into 1/3
1.523 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
1.523 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.523 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.523 * [taylor]: Taking taylor expansion of N in N
1.523 * [backup-simplify]: Simplify 0 into 0
1.523 * [backup-simplify]: Simplify 1 into 1
1.523 * [backup-simplify]: Simplify (* 1 1) into 1
1.524 * [backup-simplify]: Simplify (/ 1 1) into 1
1.524 * [taylor]: Taking taylor expansion of 1.0 in N
1.524 * [backup-simplify]: Simplify 1.0 into 1.0
1.524 * [backup-simplify]: Simplify (+ 1 0) into 1
1.524 * [backup-simplify]: Simplify (log 1) into 0
1.525 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.525 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.525 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.525 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
1.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
1.525 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
1.525 * [taylor]: Taking taylor expansion of 1/3 in N
1.525 * [backup-simplify]: Simplify 1/3 into 1/3
1.525 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
1.525 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.525 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.525 * [taylor]: Taking taylor expansion of N in N
1.525 * [backup-simplify]: Simplify 0 into 0
1.525 * [backup-simplify]: Simplify 1 into 1
1.525 * [backup-simplify]: Simplify (* 1 1) into 1
1.525 * [backup-simplify]: Simplify (/ 1 1) into 1
1.525 * [taylor]: Taking taylor expansion of 1.0 in N
1.525 * [backup-simplify]: Simplify 1.0 into 1.0
1.526 * [backup-simplify]: Simplify (+ 1 0) into 1
1.526 * [backup-simplify]: Simplify (log 1) into 0
1.526 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.526 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.526 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.526 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
1.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.527 * [backup-simplify]: Simplify (+ 0 0) into 0
1.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.528 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
1.529 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
1.529 * [backup-simplify]: Simplify 0 into 0
1.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.531 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.531 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1.0)) 1)) (pow 1 1)))) 2) into -1.0
1.538 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.539 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333)
1.541 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
1.541 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
1.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.543 * [backup-simplify]: Simplify (- 0) into 0
1.543 * [backup-simplify]: Simplify (+ 0 0) into 0
1.546 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1.0)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1.546 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.547 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
1.548 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.548 * [backup-simplify]: Simplify 0 into 0
1.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.550 * [backup-simplify]: Simplify (- 0) into 0
1.550 * [backup-simplify]: Simplify (+ 0 0) into 0
1.573 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1.0)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1.0)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -0.5
1.573 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.574 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 0.16666666666666666)
1.581 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
1.581 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
1.582 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 4)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (pow (/ 1 N) -2/3))) into (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
1.582 * [backup-simplify]: Simplify (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) (* 1.0 1.0))) into (pow (- (/ 1 (pow N 2)) 1.0) 1/3)
1.582 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0
1.582 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
1.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
1.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
1.582 * [taylor]: Taking taylor expansion of 1/3 in N
1.582 * [backup-simplify]: Simplify 1/3 into 1/3
1.582 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
1.582 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.582 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.582 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.582 * [taylor]: Taking taylor expansion of N in N
1.582 * [backup-simplify]: Simplify 0 into 0
1.582 * [backup-simplify]: Simplify 1 into 1
1.582 * [backup-simplify]: Simplify (* 1 1) into 1
1.583 * [backup-simplify]: Simplify (/ 1 1) into 1
1.583 * [taylor]: Taking taylor expansion of 1.0 in N
1.583 * [backup-simplify]: Simplify 1.0 into 1.0
1.583 * [backup-simplify]: Simplify (+ 1 0) into 1
1.583 * [backup-simplify]: Simplify (log 1) into 0
1.584 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.584 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.584 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.584 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N
1.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N
1.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N
1.584 * [taylor]: Taking taylor expansion of 1/3 in N
1.584 * [backup-simplify]: Simplify 1/3 into 1/3
1.584 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N
1.584 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.584 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.584 * [taylor]: Taking taylor expansion of N in N
1.584 * [backup-simplify]: Simplify 0 into 0
1.584 * [backup-simplify]: Simplify 1 into 1
1.584 * [backup-simplify]: Simplify (* 1 1) into 1
1.585 * [backup-simplify]: Simplify (/ 1 1) into 1
1.585 * [taylor]: Taking taylor expansion of 1.0 in N
1.585 * [backup-simplify]: Simplify 1.0 into 1.0
1.585 * [backup-simplify]: Simplify (+ 1 0) into 1
1.585 * [backup-simplify]: Simplify (log 1) into 0
1.585 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.585 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.585 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.586 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
1.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.587 * [backup-simplify]: Simplify (+ 0 0) into 0
1.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.588 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
1.589 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
1.589 * [backup-simplify]: Simplify 0 into 0
1.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.590 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.590 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1.0)) 1)) (pow 1 1)))) 2) into -1.0
1.597 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.598 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333)
1.600 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
1.600 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
1.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.602 * [backup-simplify]: Simplify (- 0) into 0
1.602 * [backup-simplify]: Simplify (+ 0 0) into 0
1.605 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1.0)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1.605 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
1.607 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.607 * [backup-simplify]: Simplify 0 into 0
1.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.609 * [backup-simplify]: Simplify (- 0) into 0
1.609 * [backup-simplify]: Simplify (+ 0 0) into 0
1.626 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1.0)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1.0)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -0.5
1.626 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.627 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 0.16666666666666666)
1.634 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
1.634 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
1.635 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 4)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (pow (/ 1 (- N)) -2/3))) into (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
1.635 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1)
1.635 * [backup-simplify]: Simplify (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) into (pow (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)) 1/3)
1.635 * [approximate]: Taking taylor expansion of (pow (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)) 1/3) in (N) around 0
1.636 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)) 1/3) in N
1.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2))))) in N
1.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)))) in N
1.636 * [taylor]: Taking taylor expansion of 1/3 in N
1.636 * [backup-simplify]: Simplify 1/3 into 1/3
1.636 * [taylor]: Taking taylor expansion of (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2))) in N
1.636 * [taylor]: Taking taylor expansion of (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)) in N
1.636 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 2) in N
1.636 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N
1.636 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.636 * [taylor]: Taking taylor expansion of N in N
1.636 * [backup-simplify]: Simplify 0 into 0
1.636 * [backup-simplify]: Simplify 1 into 1
1.636 * [taylor]: Taking taylor expansion of 1.0 in N
1.636 * [backup-simplify]: Simplify 1.0 into 1.0
1.636 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.636 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.637 * [taylor]: Taking taylor expansion of (pow (- N 1.0) 2) in N
1.637 * [taylor]: Taking taylor expansion of (- N 1.0) in N
1.637 * [taylor]: Taking taylor expansion of N in N
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [taylor]: Taking taylor expansion of 1.0 in N
1.637 * [backup-simplify]: Simplify 1.0 into 1.0
1.637 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.637 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.638 * [backup-simplify]: Simplify (* (- 1.0) (- 1.0)) into 1.0
1.639 * [backup-simplify]: Simplify (* (- 1.0) (- 1.0)) into 1.0
1.639 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
1.639 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
1.640 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0))
1.641 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3)
1.641 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)) 1/3) in N
1.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2))))) in N
1.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)))) in N
1.641 * [taylor]: Taking taylor expansion of 1/3 in N
1.641 * [backup-simplify]: Simplify 1/3 into 1/3
1.641 * [taylor]: Taking taylor expansion of (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2))) in N
1.641 * [taylor]: Taking taylor expansion of (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)) in N
1.641 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 2) in N
1.641 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N
1.641 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.641 * [taylor]: Taking taylor expansion of N in N
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify 1 into 1
1.641 * [taylor]: Taking taylor expansion of 1.0 in N
1.641 * [backup-simplify]: Simplify 1.0 into 1.0
1.641 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.642 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.642 * [taylor]: Taking taylor expansion of (pow (- N 1.0) 2) in N
1.642 * [taylor]: Taking taylor expansion of (- N 1.0) in N
1.642 * [taylor]: Taking taylor expansion of N in N
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 1 into 1
1.642 * [taylor]: Taking taylor expansion of 1.0 in N
1.642 * [backup-simplify]: Simplify 1.0 into 1.0
1.642 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.649 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.650 * [backup-simplify]: Simplify (* (- 1.0) (- 1.0)) into 1.0
1.650 * [backup-simplify]: Simplify (* (- 1.0) (- 1.0)) into 1.0
1.650 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
1.651 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
1.651 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0))
1.652 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3)
1.653 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3)
1.653 * [backup-simplify]: Simplify (- 0) into 0
1.653 * [backup-simplify]: Simplify (+ 0 0) into 0
1.654 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0
1.654 * [backup-simplify]: Simplify (- 0) into 0
1.654 * [backup-simplify]: Simplify (+ 1 0) into 1
1.655 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 (- 1.0))) into (- 2.0)
1.658 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 2.0) 1.0)))) into 2.0
1.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0
1.662 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (log 1.0))) into 0.6666666666666666
1.666 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow 1.0 1/3))
1.666 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow 1.0 1/3)) into (* 0.6666666666666666 (pow 1.0 1/3))
1.667 * [backup-simplify]: Simplify (* 1 1) into 1
1.667 * [backup-simplify]: Simplify (- 0) into 0
1.667 * [backup-simplify]: Simplify (+ 1 0) into 1
1.669 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0)
1.669 * [backup-simplify]: Simplify (- 0) into 0
1.670 * [backup-simplify]: Simplify (+ 0 0) into 0
1.670 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1
1.674 * [backup-simplify]: Simplify (- (/ (- 2.0) 1.0) (+ (* 1.0 (/ 1 1.0)) (* 2.0 (/ (- 2.0) 1.0)))) into 1.0
1.682 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))
1.687 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (log 1.0)))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))
1.696 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))))
1.698 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))))
1.702 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
1.703 * [backup-simplify]: Simplify (/ (* (cbrt (- (* (/ 1 N) (/ 1 N)) (* 1.0 1.0))) (cbrt (- (* (/ 1 N) (/ 1 N)) (* 1.0 1.0)))) (* (cbrt (- (/ 1 N) 1.0)) (cbrt (- (/ 1 N) 1.0)))) into (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)) 1/3)
1.703 * [approximate]: Taking taylor expansion of (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)) 1/3) in (N) around 0
1.703 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)) 1/3) in N
1.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2))))) in N
1.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)))) in N
1.703 * [taylor]: Taking taylor expansion of 1/3 in N
1.703 * [backup-simplify]: Simplify 1/3 into 1/3
1.703 * [taylor]: Taking taylor expansion of (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2))) in N
1.703 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)) in N
1.703 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 2) in N
1.703 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.703 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.703 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.703 * [taylor]: Taking taylor expansion of N in N
1.703 * [backup-simplify]: Simplify 0 into 0
1.703 * [backup-simplify]: Simplify 1 into 1
1.703 * [backup-simplify]: Simplify (* 1 1) into 1
1.704 * [backup-simplify]: Simplify (/ 1 1) into 1
1.704 * [taylor]: Taking taylor expansion of 1.0 in N
1.704 * [backup-simplify]: Simplify 1.0 into 1.0
1.704 * [backup-simplify]: Simplify (+ 1 0) into 1
1.704 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 2) in N
1.704 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N
1.704 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.704 * [taylor]: Taking taylor expansion of N in N
1.704 * [backup-simplify]: Simplify 0 into 0
1.704 * [backup-simplify]: Simplify 1 into 1
1.704 * [backup-simplify]: Simplify (/ 1 1) into 1
1.704 * [taylor]: Taking taylor expansion of 1.0 in N
1.704 * [backup-simplify]: Simplify 1.0 into 1.0
1.705 * [backup-simplify]: Simplify (+ 1 0) into 1
1.705 * [backup-simplify]: Simplify (* 1 1) into 1
1.705 * [backup-simplify]: Simplify (* 1 1) into 1
1.705 * [backup-simplify]: Simplify (/ 1 1) into 1
1.706 * [backup-simplify]: Simplify (log 1) into 0
1.706 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.706 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.706 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.706 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)) 1/3) in N
1.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2))))) in N
1.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)))) in N
1.706 * [taylor]: Taking taylor expansion of 1/3 in N
1.706 * [backup-simplify]: Simplify 1/3 into 1/3
1.706 * [taylor]: Taking taylor expansion of (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2))) in N
1.706 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)) in N
1.706 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 2) in N
1.706 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.706 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.706 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.706 * [taylor]: Taking taylor expansion of N in N
1.706 * [backup-simplify]: Simplify 0 into 0
1.706 * [backup-simplify]: Simplify 1 into 1
1.706 * [backup-simplify]: Simplify (* 1 1) into 1
1.707 * [backup-simplify]: Simplify (/ 1 1) into 1
1.707 * [taylor]: Taking taylor expansion of 1.0 in N
1.707 * [backup-simplify]: Simplify 1.0 into 1.0
1.707 * [backup-simplify]: Simplify (+ 1 0) into 1
1.707 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 2) in N
1.707 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N
1.707 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.707 * [taylor]: Taking taylor expansion of N in N
1.707 * [backup-simplify]: Simplify 0 into 0
1.707 * [backup-simplify]: Simplify 1 into 1
1.707 * [backup-simplify]: Simplify (/ 1 1) into 1
1.707 * [taylor]: Taking taylor expansion of 1.0 in N
1.707 * [backup-simplify]: Simplify 1.0 into 1.0
1.708 * [backup-simplify]: Simplify (+ 1 0) into 1
1.708 * [backup-simplify]: Simplify (* 1 1) into 1
1.708 * [backup-simplify]: Simplify (* 1 1) into 1
1.708 * [backup-simplify]: Simplify (/ 1 1) into 1
1.709 * [backup-simplify]: Simplify (log 1) into 0
1.709 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.709 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.709 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.709 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
1.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.710 * [backup-simplify]: Simplify (+ 0 0) into 0
1.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.711 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.712 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.713 * [backup-simplify]: Simplify (+ (* 1 (- 1.0)) (* (- 1.0) 1)) into (- 2.0)
1.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- 2.0) 1)))) into 2.0
1.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0
1.719 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.719 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 2 (log N))))) into 0.6666666666666666
1.721 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3))
1.721 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3))
1.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.722 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.723 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.725 * [backup-simplify]: Simplify (+ (* 1 (- 1.0)) (+ (* 0 0) (* (- 1.0) 1))) into (- 2.0)
1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.726 * [backup-simplify]: Simplify (- 0) into 0
1.726 * [backup-simplify]: Simplify (+ 0 0) into 0
1.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- 1.0) (- 1.0)) (* 0 1))) into 1.0
1.731 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 1.0 1)) (* 2.0 (/ (- 2.0) 1)))) into 1.0
1.746 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0
1.746 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.747 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333)
1.750 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
1.750 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
1.751 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
1.752 * [backup-simplify]: Simplify (/ (* (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) (* 1.0 1.0))) (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) (* 1.0 1.0)))) (* (cbrt (- (/ 1 (- N)) 1.0)) (cbrt (- (/ 1 (- N)) 1.0)))) into (* (/ 1 (pow (cbrt -1) 2)) (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3))
1.752 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3)) in (N) around 0
1.752 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3)) in N
1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N
1.752 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
1.752 * [taylor]: Taking taylor expansion of (cbrt -1) in N
1.752 * [taylor]: Taking taylor expansion of -1 in N
1.752 * [backup-simplify]: Simplify -1 into -1
1.752 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
1.753 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
1.754 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
1.755 * [backup-simplify]: Simplify (/ 1 (pow (cbrt -1) 2)) into (/ 1 (pow (cbrt -1) 2))
1.755 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N
1.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2))))) in N
1.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)))) in N
1.755 * [taylor]: Taking taylor expansion of 1/3 in N
1.755 * [backup-simplify]: Simplify 1/3 into 1/3
1.755 * [taylor]: Taking taylor expansion of (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2))) in N
1.755 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) in N
1.755 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 2) in N
1.755 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.755 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.755 * [taylor]: Taking taylor expansion of N in N
1.755 * [backup-simplify]: Simplify 0 into 0
1.755 * [backup-simplify]: Simplify 1 into 1
1.755 * [backup-simplify]: Simplify (* 1 1) into 1
1.755 * [backup-simplify]: Simplify (/ 1 1) into 1
1.755 * [taylor]: Taking taylor expansion of 1.0 in N
1.755 * [backup-simplify]: Simplify 1.0 into 1.0
1.756 * [backup-simplify]: Simplify (+ 1 0) into 1
1.756 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.756 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.756 * [taylor]: Taking taylor expansion of N in N
1.756 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify 1 into 1
1.756 * [backup-simplify]: Simplify (/ 1 1) into 1
1.756 * [taylor]: Taking taylor expansion of 1.0 in N
1.756 * [backup-simplify]: Simplify 1.0 into 1.0
1.756 * [backup-simplify]: Simplify (+ 1 0) into 1
1.757 * [backup-simplify]: Simplify (* 1 1) into 1
1.757 * [backup-simplify]: Simplify (* 1 1) into 1
1.757 * [backup-simplify]: Simplify (/ 1 1) into 1
1.757 * [backup-simplify]: Simplify (log 1) into 0
1.758 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.758 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.758 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.758 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3)) in N
1.758 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N
1.758 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
1.758 * [taylor]: Taking taylor expansion of (cbrt -1) in N
1.758 * [taylor]: Taking taylor expansion of -1 in N
1.758 * [backup-simplify]: Simplify -1 into -1
1.758 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
1.759 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
1.759 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
1.760 * [backup-simplify]: Simplify (/ 1 (pow (cbrt -1) 2)) into (/ 1 (pow (cbrt -1) 2))
1.760 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N
1.760 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2))))) in N
1.760 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)))) in N
1.761 * [taylor]: Taking taylor expansion of 1/3 in N
1.761 * [backup-simplify]: Simplify 1/3 into 1/3
1.761 * [taylor]: Taking taylor expansion of (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2))) in N
1.761 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) in N
1.761 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 2) in N
1.761 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N
1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.761 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.761 * [taylor]: Taking taylor expansion of N in N
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 1 into 1
1.761 * [backup-simplify]: Simplify (* 1 1) into 1
1.761 * [backup-simplify]: Simplify (/ 1 1) into 1
1.761 * [taylor]: Taking taylor expansion of 1.0 in N
1.761 * [backup-simplify]: Simplify 1.0 into 1.0
1.761 * [backup-simplify]: Simplify (+ 1 0) into 1
1.761 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
1.761 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.762 * [taylor]: Taking taylor expansion of N in N
1.762 * [backup-simplify]: Simplify 0 into 0
1.762 * [backup-simplify]: Simplify 1 into 1
1.762 * [backup-simplify]: Simplify (/ 1 1) into 1
1.762 * [taylor]: Taking taylor expansion of 1.0 in N
1.762 * [backup-simplify]: Simplify 1.0 into 1.0
1.762 * [backup-simplify]: Simplify (+ 1 0) into 1
1.762 * [backup-simplify]: Simplify (* 1 1) into 1
1.763 * [backup-simplify]: Simplify (* 1 1) into 1
1.763 * [backup-simplify]: Simplify (/ 1 1) into 1
1.763 * [backup-simplify]: Simplify (log 1) into 0
1.763 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.763 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
1.763 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
1.765 * [backup-simplify]: Simplify (* (/ 1 (pow (cbrt -1) 2)) (pow N -2/3)) into (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))
1.766 * [backup-simplify]: Simplify (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3)) into (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))
1.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.767 * [backup-simplify]: Simplify (+ 0 0) into 0
1.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.768 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.769 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0
1.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 2.0 1)))) into (- 2.0)
1.775 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0
1.775 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.775 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 2 (log N))))) into (- 0.6666666666666666)
1.777 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3))
1.778 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
1.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))))) into 0
1.780 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3))) (* 0 (pow N -2/3))) into (- (* 0.6666666666666666 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))))
1.781 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3)))) into (- (* 0.6666666666666666 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))))
1.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.783 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.783 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.785 * [backup-simplify]: Simplify (+ (* 1 (- 1.0)) (+ (* 0 0) (* (- 1.0) 1))) into (- 2.0)
1.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.786 * [backup-simplify]: Simplify (+ 0 0) into 0
1.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0
1.791 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 1.0 1)) (* (- 2.0) (/ 2.0 1)))) into 1.0
1.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0
1.800 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
1.800 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333)
1.804 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
1.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
1.805 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
1.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))))) into 0
1.808 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (+ (* 0 (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3))) (* 0 (pow N -2/3)))) into (- (* 0.1111111111111111 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))))
1.809 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3)))) into (- (* 0.1111111111111111 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))))
1.814 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)))) (/ 1 (- N))) (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)))) into (- (+ (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)) (* 0.6666666666666666 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 N) 1/3)))) (* 0.1111111111111111 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 4)) 1/3))))
1.814 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1.815 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))) into (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1))
1.815 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) in (N) around 0
1.815 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) in N
1.815 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) into (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1))
1.815 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) in N
1.815 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) into (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1))
1.816 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) into (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1))
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) into (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1))
1.817 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* (/ 1 N) (/ 1 N)) (* 1.0 1.0))) (cbrt (- (* (/ 1 N) (/ 1 N)) (* 1.0 1.0)))) (* (cbrt (- (/ 1 N) 1.0)) (cbrt (- (/ 1 N) 1.0)))) (* (cbrt (+ (/ 1 N) 1.0)) (/ 1 N))))) into (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1))
1.817 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1)) in (N) around 0
1.817 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1)) in N
1.818 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1)) into (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1))
1.818 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1)) in N
1.818 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1)) into (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1))
1.819 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1)) into (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1))
1.819 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify 0 into 0
1.820 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow (/ 1 N) 2)) 1.0) 2) (+ (/ 1 (/ 1 N)) 1.0)) (pow (- (/ 1 (/ 1 N)) 1.0) 2)) 1/3) (/ 1 (/ 1 N))) 1)) into (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1))
1.821 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) (* 1.0 1.0))) (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) (* 1.0 1.0)))) (* (cbrt (- (/ 1 (- N)) 1.0)) (cbrt (- (/ 1 (- N)) 1.0)))) (* (cbrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))))) into (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3))))
1.821 * [approximate]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3)))) in (N) around 0
1.821 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3)))) in N
1.823 * [backup-simplify]: Simplify (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3)))) into (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3))))
1.823 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3)))) in N
1.824 * [backup-simplify]: Simplify (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3)))) into (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3))))
1.825 * [backup-simplify]: Simplify (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3)))) into (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3))))
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 0 into 0
1.827 * [backup-simplify]: Simplify (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) (/ 1 (- N)))) (pow (/ (* (- 1.0 (/ 1 (/ 1 (- N)))) (pow (- (/ 1 (pow (/ 1 (- N)) 2)) 1.0) 2)) (pow (+ (/ 1 (/ 1 (- N))) 1.0) 2)) 1/3)))) into (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- 1.0 N) 2)) 1/3) (/ N (pow (cbrt -1) 2))) 1))
1.827 * * * [progress]: simplifying candidates
1.834 * [simplify]: Simplifying:
  (log (cbrt (- (* N N) (* 1.0 1.0))))
  (exp (cbrt (- (* N N) (* 1.0 1.0))))
  (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))))
  (cbrt (cbrt (- (* N N) (* 1.0 1.0))))
  (cbrt (sqrt (- (* N N) (* 1.0 1.0))))
  (cbrt (sqrt (- (* N N) (* 1.0 1.0))))
  (cbrt 1)
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (+ N 1.0))
  (cbrt (- N 1.0))
  (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3)))
  (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))
  (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0))))
  (cbrt (+ (* N N) (* 1.0 1.0)))
  (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))))
  (cbrt (cbrt (- (* N N) (* 1.0 1.0))))
  (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))))
  (sqrt (cbrt (- (* N N) (* 1.0 1.0))))
  (sqrt (cbrt (- (* N N) (* 1.0 1.0))))
  (log (cbrt (- (* N N) (* 1.0 1.0))))
  (exp (cbrt (- (* N N) (* 1.0 1.0))))
  (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))))
  (cbrt (cbrt (- (* N N) (* 1.0 1.0))))
  (cbrt (sqrt (- (* N N) (* 1.0 1.0))))
  (cbrt (sqrt (- (* N N) (* 1.0 1.0))))
  (cbrt 1)
  (cbrt (- (* N N) (* 1.0 1.0)))
  (cbrt (+ N 1.0))
  (cbrt (- N 1.0))
  (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3)))
  (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))
  (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0))))
  (cbrt (+ (* N N) (* 1.0 1.0)))
  (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))))
  (cbrt (cbrt (- (* N N) (* 1.0 1.0))))
  (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))))
  (sqrt (cbrt (- (* N N) (* 1.0 1.0))))
  (sqrt (cbrt (- (* N N) (* 1.0 1.0))))
  (- (+ (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- (* N N) (* 1.0 1.0))))) (+ (log (cbrt (- N 1.0))) (log (cbrt (- N 1.0)))))
  (- (+ (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- (* N N) (* 1.0 1.0))))) (log (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))
  (- (log (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (+ (log (cbrt (- N 1.0))) (log (cbrt (- N 1.0)))))
  (- (log (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (log (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))
  (log (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))
  (exp (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))
  (/ (* (- (* N N) (* 1.0 1.0)) (- (* N N) (* 1.0 1.0))) (* (- N 1.0) (- N 1.0)))
  (/ (* (- (* N N) (* 1.0 1.0)) (- (* N N) (* 1.0 1.0))) (* (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))
  (/ (* (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (* (- N 1.0) (- N 1.0)))
  (/ (* (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (* (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))
  (* (cbrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (cbrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))))
  (cbrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))
  (* (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))
  (sqrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))
  (sqrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))
  (- (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))))
  (- (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))
  (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))
  (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))
  (/ 1 (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))
  (/ (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))))
  (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0)))
  (/ (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))
  (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (- (pow N 3) (pow 1.0 3)))))
  (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))))
  (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (pow N 3) (pow 1.0 3)))))
  (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))))
  (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- (pow N 3) (pow 1.0 3)))))
  (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))))
  (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (- N 1.0))))
  (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))))
  (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))))
  (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (+ (* N N) (* 1.0 1.0)))))
  (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* N N) (* 1.0 1.0))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))))
  (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* N N) (* 1.0 1.0))) (cbrt (+ (* N N) (* 1.0 1.0)))))
  (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))))
  (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* N N) (* 1.0 1.0))))
  (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))))
  (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* N N) (* 1.0 1.0))))
  (log (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))
  (exp (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))
  (* (cbrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))))
  (cbrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))
  (* (* (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))
  (sqrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))
  (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (- 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3)))))
  (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
  (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
  (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (- 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3)))))
  (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
  (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3))))
  (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))
  (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
  (- (+ (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)) (* 0.6666666666666666 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 N) 1/3)))) (* 0.1111111111111111 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 4)) 1/3))))
  (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1))
  (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1))
  (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- 1.0 N) 2)) 1/3) (/ N (pow (cbrt -1) 2))) 1))
1.835 * [simplify]: Sending expressions to egg_math:
 (log (cbrt (- (* h1 h1) (* h0 h0))))
 (exp (cbrt (- (* h1 h1) (* h0 h0))))
 (cbrt (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))))
 (cbrt (cbrt (- (* h1 h1) (* h0 h0))))
 (cbrt (sqrt (- (* h1 h1) (* h0 h0))))
 (cbrt (sqrt (- (* h1 h1) (* h0 h0))))
 (cbrt 1)
 (cbrt (- (* h1 h1) (* h0 h0)))
 (cbrt (+ h1 h0))
 (cbrt (- h1 h0))
 (cbrt (- (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (cbrt (+ (* (* h1 h1) (* h1 h1)) (+ (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (cbrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (cbrt (+ (* h1 h1) (* h0 h0)))
 (* (cbrt (cbrt (- (* h1 h1) (* h0 h0)))) (cbrt (cbrt (- (* h1 h1) (* h0 h0)))))
 (cbrt (cbrt (- (* h1 h1) (* h0 h0))))
 (* (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))))
 (sqrt (cbrt (- (* h1 h1) (* h0 h0))))
 (sqrt (cbrt (- (* h1 h1) (* h0 h0))))
 (log (cbrt (- (* h1 h1) (* h0 h0))))
 (exp (cbrt (- (* h1 h1) (* h0 h0))))
 (cbrt (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))))
 (cbrt (cbrt (- (* h1 h1) (* h0 h0))))
 (cbrt (sqrt (- (* h1 h1) (* h0 h0))))
 (cbrt (sqrt (- (* h1 h1) (* h0 h0))))
 (cbrt 1)
 (cbrt (- (* h1 h1) (* h0 h0)))
 (cbrt (+ h1 h0))
 (cbrt (- h1 h0))
 (cbrt (- (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (cbrt (+ (* (* h1 h1) (* h1 h1)) (+ (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (cbrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (cbrt (+ (* h1 h1) (* h0 h0)))
 (* (cbrt (cbrt (- (* h1 h1) (* h0 h0)))) (cbrt (cbrt (- (* h1 h1) (* h0 h0)))))
 (cbrt (cbrt (- (* h1 h1) (* h0 h0))))
 (* (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))))
 (sqrt (cbrt (- (* h1 h1) (* h0 h0))))
 (sqrt (cbrt (- (* h1 h1) (* h0 h0))))
 (- (+ (log (cbrt (- (* h1 h1) (* h0 h0)))) (log (cbrt (- (* h1 h1) (* h0 h0))))) (+ (log (cbrt (- h1 h0))) (log (cbrt (- h1 h0)))))
 (- (+ (log (cbrt (- (* h1 h1) (* h0 h0)))) (log (cbrt (- (* h1 h1) (* h0 h0))))) (log (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))))
 (- (log (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0))))) (+ (log (cbrt (- h1 h0))) (log (cbrt (- h1 h0)))))
 (- (log (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0))))) (log (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))))
 (log (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))))
 (exp (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))))
 (/ (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)))
 (/ (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (* (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))))
 (/ (* (* (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0))))) (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0))))) (* (- h1 h0) (- h1 h0)))
 (/ (* (* (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0))))) (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0))))) (* (* (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))))
 (* (cbrt (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0))))) (cbrt (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0))))))
 (cbrt (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))))
 (* (* (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0))))) (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))))
 (sqrt (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))))
 (sqrt (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))))
 (- (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))))
 (- (* (cbrt (- h1 h0)) (cbrt (- h1 h0))))
 (/ (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0)))
 (/ (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0)))
 (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0))))
 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))))
 (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (cbrt (- h1 h0)))
 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (cbrt (- (* h1 h1) (* h0 h0))))
 (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- (pow h1 3) (pow h0 3))) (cbrt (- (pow h1 3) (pow h0 3)))))
 (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- (pow h1 3) (pow h0 3))) (cbrt (- (* h1 h1) (* h0 h0)))))
 (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (pow h1 3) (pow h0 3)))))
 (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))))
 (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- (pow h1 3) (pow h0 3)))))
 (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- (* h1 h1) (* h0 h0)))))
 (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- (pow h1 3) (pow h0 3))) (cbrt (- h1 h0))))
 (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0))))
 (* (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ (* (* h1 h1) (* h1 h1)) (+ (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (+ (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))))
 (* (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ (* (* h1 h1) (* h1 h1)) (+ (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (* (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (+ (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))))
 (* (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (* (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (+ (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))))
 (* (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))
 (* (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (+ (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))))
 (* (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))
 (log (atan2 h0 (+ 1 (* (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (+ h1 h0)) h1)))))
 (exp (atan2 h0 (+ 1 (* (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (+ h1 h0)) h1)))))
 (* (cbrt (atan2 h0 (+ 1 (* (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (+ h1 h0)) h1))))) (cbrt (atan2 h0 (+ 1 (* (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (+ h1 h0)) h1))))))
 (cbrt (atan2 h0 (+ 1 (* (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (+ h1 h0)) h1)))))
 (* (* (atan2 h0 (+ 1 (* (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (+ h1 h0)) h1)))) (atan2 h0 (+ 1 (* (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (+ h1 h0)) h1))))) (atan2 h0 (+ 1 (* (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (+ h1 h0)) h1)))))
 (sqrt (atan2 h0 (+ 1 (* (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (+ h1 h0)) h1)))))
 (sqrt (atan2 h0 (+ 1 (* (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (+ h1 h0)) h1)))))
 (- (+ (* h4 (* (pow h1 4) (pow h2 1/3))) (pow (- h0) 1/3)) (+ (* 1/6 (* (pow h1 4) (pow (/ 1 (pow h2 5)) 1/3))) (* h3 (* (pow h1 2) (pow h2 1/3)))))
 (- (pow (/ 1 h1) -2/3) (+ (* h3 (pow (/ 1 (pow h1 4)) 1/3)) (* h5 (pow (/ 1 (pow h1 10)) 1/3))))
 (- (pow (/ -1 h1) -2/3) (+ (* h3 (pow (/ 1 (pow h1 4)) 1/3)) (* h5 (pow (/ 1 (pow h1 10)) 1/3))))
 (- (+ (* h4 (* (pow h1 4) (pow h2 1/3))) (pow (- h0) 1/3)) (+ (* 1/6 (* (pow h1 4) (pow (/ 1 (pow h2 5)) 1/3))) (* h3 (* (pow h1 2) (pow h2 1/3)))))
 (- (pow (/ 1 h1) -2/3) (+ (* h3 (pow (/ 1 (pow h1 4)) 1/3)) (* h5 (pow (/ 1 (pow h1 10)) 1/3))))
 (- (pow (/ -1 h1) -2/3) (+ (* h3 (pow (/ 1 (pow h1 4)) 1/3)) (* h5 (pow (/ 1 (pow h1 10)) 1/3))))
 (- (+ (pow h0 1/3) (+ (* h6 (* h1 (pow h0 1/3))) (* h7 (* (pow h1 2) (pow h0 1/3))))) (* h6 (* (pow h1 2) (pow (/ 1 (pow h0 5)) 1/3))))
 (- (+ (pow (/ 1 h1) -2/3) (* h6 (pow (/ 1 h1) 1/3))) (* h5 (pow (/ 1 (pow h1 4)) 1/3)))
 (- (+ (* (/ 1 (pow (cbrt -1) 2)) (pow (pow h1 2) 1/3)) (* h6 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 h1) 1/3)))) (* h5 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow h1 4)) 1/3))))
 (atan2 h0 (+ (* (pow (/ (* (pow (- (pow h1 2) h0) 2) (+ h1 h0)) (pow (- h1 h0) 2)) 1/3) h1) 1))
 (atan2 h0 (+ (* (pow (/ (* (pow (- (pow h1 2) h0) 2) (+ h1 h0)) (pow (- h1 h0) 2)) 1/3) h1) 1))
 (atan2 h0 (+ (* (pow (/ (* (pow (- (pow h1 2) h0) 2) (+ h1 h0)) (pow (- h0 h1) 2)) 1/3) (/ h1 (pow (cbrt -1) 2))) 1))
1.842 * * [simplify]: iteration  0 :  565  enodes  (cost  1288 )
1.851 * * [simplify]: iteration  1 :  2133  enodes  (cost  1070 )
1.883 * * [simplify]: iteration  2 :  5001  enodes  (cost  1030 )
1.888 * * * [progress]: adding candidates to table
2.239 * [progress]: [Phase 3 of 3] Extracting.
2.239 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (+ 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) (atan2 1.0 (+ 1 (* (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))>)
2.241 * * * [regime-changes]: Trying 1 branch expressions: (N)
2.241 * * * * [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 (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (+ 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) (atan2 1.0 (+ 1 (* (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))>)
2.462 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
2.462 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
2.462 * [simplify]: Sending expressions to egg_math:
 (atan2 h1 (+ 1 (* (+ h0 h1) h0)))
2.463 * * [simplify]: iteration  0 :  12  enodes  (cost  4 )
2.463 * * [simplify]: iteration  1 :  12  enodes  (cost  4 )
3.485 * [regime-testing]: Baseline error score: 0.3993337754199137
3.485 * [regime-testing]: Oracle error score: 0.36832989993547816
3.486 * [regime-testing]: End program error score: 0.3993337754199137
3.511 * [regime-testing]: Target error score: 0.40195910358593445