42.221 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.073 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.073 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.073 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.073 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.073 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.073 * [taylor]: Taking taylor expansion of (atan N) in N 0.073 * [backup-simplify]: Simplify (atan N) into (atan N) 0.073 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.073 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.073 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.074 * [taylor]: Taking taylor expansion of (atan N) in N 0.074 * [backup-simplify]: Simplify (atan N) into (atan N) 0.074 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.074 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.074 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.077 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.077 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.077 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.077 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.077 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.078 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.078 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.078 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.078 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.078 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.078 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.078 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- 0) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.082 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.082 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.082 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.083 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.083 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.083 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.083 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.083 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.083 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.083 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.083 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.083 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.083 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.084 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.089 * * * [progress]: simplifying candidates 0.089 * [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)) 1.038 * * * [progress]: adding candidates to table 1.083 * * [progress]: iteration 2 / 4 1.083 * * * [progress]: picking best candidate 1.084 * * * * [pick]: Picked # 1.084 * * * [progress]: localizing error 1.091 * * * [progress]: generating rewritten candidates 1.091 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.092 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.114 * * * [progress]: generating series expansions 1.114 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.114 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.114 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.114 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.115 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.115 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.115 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.115 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.115 * [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))) 1.116 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.116 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.116 * [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))) 1.116 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.116 * [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))) 1.116 * [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))) 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [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))) 1.117 * [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)))) 1.117 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.117 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.117 * [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)))) 1.117 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.117 * [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)))) 1.117 * [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)))) 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.118 * [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))) 1.118 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.118 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 1.118 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 1.118 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.118 * [taylor]: Taking taylor expansion of N in N 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.118 * [taylor]: Taking taylor expansion of N in N 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [taylor]: Taking taylor expansion of 1.0 in N 1.118 * [backup-simplify]: Simplify 1.0 into 1.0 1.118 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.118 * [taylor]: Taking taylor expansion of N in N 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.118 * [taylor]: Taking taylor expansion of N in N 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [taylor]: Taking taylor expansion of 1.0 in N 1.118 * [backup-simplify]: Simplify 1.0 into 1.0 1.119 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.119 * [backup-simplify]: Simplify (* 0 1.0) into 0 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify (+ 1 0) into 1 1.120 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 1.120 * [backup-simplify]: Simplify 1.0 into 1.0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 1.129 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 1.129 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 1.129 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.129 * [taylor]: Taking taylor expansion of N in N 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 1 into 1 1.129 * [backup-simplify]: Simplify (/ 1 1) into 1 1.129 * [taylor]: Taking taylor expansion of 1.0 in N 1.129 * [backup-simplify]: Simplify 1.0 into 1.0 1.129 * [taylor]: Taking taylor expansion of N in N 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 1 into 1 1.129 * [backup-simplify]: Simplify (+ 1 0) into 1 1.130 * [backup-simplify]: Simplify (/ 1 1) into 1 1.130 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.130 * [taylor]: Taking taylor expansion of N in N 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (/ 1 1) into 1 1.130 * [taylor]: Taking taylor expansion of 1.0 in N 1.130 * [backup-simplify]: Simplify 1.0 into 1.0 1.130 * [taylor]: Taking taylor expansion of N in N 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (+ 1 0) into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.131 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.133 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 1.133 * [backup-simplify]: Simplify 1.0 into 1.0 1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.135 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.138 * [backup-simplify]: Simplify (+ 0 0) into 0 1.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.138 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [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 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [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 1.141 * [backup-simplify]: Simplify (+ 0 0) into 0 1.141 * [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 1.141 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 1.142 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 1.142 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 1.142 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 1.142 * [taylor]: Taking taylor expansion of -1 in N 1.142 * [backup-simplify]: Simplify -1 into -1 1.142 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.142 * [taylor]: Taking taylor expansion of 1.0 in N 1.142 * [backup-simplify]: Simplify 1.0 into 1.0 1.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.142 * [taylor]: Taking taylor expansion of N in N 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 1 into 1 1.142 * [backup-simplify]: Simplify (/ 1 1) into 1 1.142 * [taylor]: Taking taylor expansion of N in N 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (- 1) into -1 1.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.143 * [backup-simplify]: Simplify (/ -1 1) into -1 1.143 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 1.143 * [taylor]: Taking taylor expansion of -1 in N 1.143 * [backup-simplify]: Simplify -1 into -1 1.143 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.143 * [taylor]: Taking taylor expansion of 1.0 in N 1.143 * [backup-simplify]: Simplify 1.0 into 1.0 1.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.143 * [taylor]: Taking taylor expansion of N in N 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (/ 1 1) into 1 1.144 * [taylor]: Taking taylor expansion of N in N 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (- 1) into -1 1.144 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.144 * [backup-simplify]: Simplify (/ -1 1) into -1 1.145 * [backup-simplify]: Simplify (* -1 -1) into 1 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.146 * [backup-simplify]: Simplify (- 0) into 0 1.146 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.147 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 1.148 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 1.148 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.149 * [backup-simplify]: Simplify (- 0) into 0 1.149 * [backup-simplify]: Simplify (+ 0 0) into 0 1.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 1.151 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.152 * [backup-simplify]: Simplify (- 0) into 0 1.152 * [backup-simplify]: Simplify (+ 0 0) into 0 1.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.154 * [backup-simplify]: Simplify (- 0) into 0 1.154 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.156 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.157 * [backup-simplify]: Simplify (- 0) into 0 1.157 * [backup-simplify]: Simplify (+ 0 0) into 0 1.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 1.163 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.164 * [backup-simplify]: Simplify (- 0) into 0 1.164 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [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 1.166 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.167 * [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 1.167 * [backup-simplify]: Simplify (- 0) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [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 1.169 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 1.170 * * * [progress]: simplifying candidates 1.171 * [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)) 1.733 * * * [progress]: adding candidates to table 1.787 * * [progress]: iteration 3 / 4 1.788 * * * [progress]: picking best candidate 1.793 * * * * [pick]: Picked # 1.793 * * * [progress]: localizing error 1.805 * * * [progress]: generating rewritten candidates 1.805 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.806 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.848 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.852 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.859 * * * [progress]: generating series expansions 1.859 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.860 * [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))) 1.860 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.860 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.860 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.860 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.860 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.860 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.861 * [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))) 1.861 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.861 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.861 * [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))) 1.861 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.861 * [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))) 1.862 * [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))) 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [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))) 1.862 * [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)))) 1.862 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.862 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.862 * [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)))) 1.863 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.863 * [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)))) 1.863 * [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)))) 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [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))) 1.863 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.863 * [backup-simplify]: Simplify (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) into (pow (pow (+ N 1.0) 2) 1/3) 1.863 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 1.864 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 1.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 1.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 1.864 * [taylor]: Taking taylor expansion of 1/3 in N 1.864 * [backup-simplify]: Simplify 1/3 into 1/3 1.864 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 1.864 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.864 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.864 * [taylor]: Taking taylor expansion of N in N 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [taylor]: Taking taylor expansion of 1.0 in N 1.864 * [backup-simplify]: Simplify 1.0 into 1.0 1.864 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.865 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.865 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.866 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 1.866 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 1.866 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 1.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 1.867 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 1.867 * [taylor]: Taking taylor expansion of 1/3 in N 1.867 * [backup-simplify]: Simplify 1/3 into 1/3 1.867 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 1.867 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.867 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.867 * [taylor]: Taking taylor expansion of N in N 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [taylor]: Taking taylor expansion of 1.0 in N 1.867 * [backup-simplify]: Simplify 1.0 into 1.0 1.867 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.867 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.867 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.868 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 1.869 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 1.869 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 1.870 * [backup-simplify]: Simplify (+ 1 0) into 1 1.871 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 1.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 1.876 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (log 1.0))) into 0.6666666666666666 1.879 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow 1.0 1/3)) 1.880 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow 1.0 1/3)) into (* 0.6666666666666666 (pow 1.0 1/3)) 1.880 * [backup-simplify]: Simplify (+ 0 0) into 0 1.881 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 1.888 * [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))))) 1.894 * [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)))) 1.903 * [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))))) 1.906 * [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))))) 1.910 * [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)))) 1.910 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (+ (/ 1 N) 1.0))) into (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) 1.910 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 1.910 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 1.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 1.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 1.910 * [taylor]: Taking taylor expansion of 1/3 in N 1.910 * [backup-simplify]: Simplify 1/3 into 1/3 1.910 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 1.911 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.911 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.911 * [taylor]: Taking taylor expansion of N in N 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.911 * [taylor]: Taking taylor expansion of 1.0 in N 1.911 * [backup-simplify]: Simplify 1.0 into 1.0 1.911 * [backup-simplify]: Simplify (+ 1 0) into 1 1.911 * [backup-simplify]: Simplify (* 1 1) into 1 1.912 * [backup-simplify]: Simplify (log 1) into 0 1.912 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.912 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.912 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.912 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 1.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 1.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 1.912 * [taylor]: Taking taylor expansion of 1/3 in N 1.912 * [backup-simplify]: Simplify 1/3 into 1/3 1.912 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 1.912 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.912 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.912 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.912 * [taylor]: Taking taylor expansion of N in N 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (/ 1 1) into 1 1.913 * [taylor]: Taking taylor expansion of 1.0 in N 1.913 * [backup-simplify]: Simplify 1.0 into 1.0 1.913 * [backup-simplify]: Simplify (+ 1 0) into 1 1.913 * [backup-simplify]: Simplify (* 1 1) into 1 1.913 * [backup-simplify]: Simplify (log 1) into 0 1.914 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.914 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.914 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.914 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.915 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 1.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 1.919 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.920 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 2 (log N))))) into 0.6666666666666666 1.921 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 1.921 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 1.936 * [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 1.937 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.937 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333) 1.940 * [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)) 1.941 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.941 * [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))) 1.941 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (+ (/ 1 (- N)) 1.0))) into (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) 1.941 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 1.942 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 1.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 1.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 1.942 * [taylor]: Taking taylor expansion of 1/3 in N 1.942 * [backup-simplify]: Simplify 1/3 into 1/3 1.942 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 1.942 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.942 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.942 * [taylor]: Taking taylor expansion of 1.0 in N 1.942 * [backup-simplify]: Simplify 1.0 into 1.0 1.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.942 * [taylor]: Taking taylor expansion of N in N 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [backup-simplify]: Simplify (- 1) into -1 1.942 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.943 * [backup-simplify]: Simplify (* -1 -1) into 1 1.943 * [backup-simplify]: Simplify (log 1) into 0 1.943 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.943 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.943 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.943 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 1.943 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 1.943 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 1.943 * [taylor]: Taking taylor expansion of 1/3 in N 1.944 * [backup-simplify]: Simplify 1/3 into 1/3 1.944 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 1.944 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.944 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.944 * [taylor]: Taking taylor expansion of 1.0 in N 1.944 * [backup-simplify]: Simplify 1.0 into 1.0 1.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.944 * [taylor]: Taking taylor expansion of N in N 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.944 * [backup-simplify]: Simplify (- 1) into -1 1.944 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.945 * [backup-simplify]: Simplify (* -1 -1) into 1 1.945 * [backup-simplify]: Simplify (log 1) into 0 1.945 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.945 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.945 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.945 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.947 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 1.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 1.952 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.952 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 2 (log N))))) into (- 0.6666666666666666) 1.954 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 1.955 * [backup-simplify]: Simplify (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (- 0) into 0 1.956 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 1.966 * [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 1.966 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.967 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333) 1.971 * [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)) 1.971 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.972 * [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))) 1.972 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 1.972 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 1.972 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 1.972 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.972 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.972 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.972 * [taylor]: Taking taylor expansion of 1/3 in N 1.972 * [backup-simplify]: Simplify 1/3 into 1/3 1.972 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.972 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.972 * [taylor]: Taking taylor expansion of N in N 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [taylor]: Taking taylor expansion of 1.0 in N 1.972 * [backup-simplify]: Simplify 1.0 into 1.0 1.972 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.973 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.973 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 1.974 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 1.974 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.974 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.974 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.974 * [taylor]: Taking taylor expansion of 1/3 in N 1.974 * [backup-simplify]: Simplify 1/3 into 1/3 1.974 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.974 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.974 * [taylor]: Taking taylor expansion of N in N 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [taylor]: Taking taylor expansion of 1.0 in N 1.974 * [backup-simplify]: Simplify 1.0 into 1.0 1.975 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.975 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.975 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 1.976 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 1.977 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 1.977 * [backup-simplify]: Simplify (+ 1 0) into 1 1.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.981 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 1.984 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 1.985 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.991 * [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)) 1.994 * [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)))) 2.003 * [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)) 2.006 * [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)) 2.010 * [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)))) 2.010 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 2.010 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 2.010 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.010 * [taylor]: Taking taylor expansion of 1/3 in N 2.010 * [backup-simplify]: Simplify 1/3 into 1/3 2.010 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.010 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.010 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.010 * [taylor]: Taking taylor expansion of N in N 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (/ 1 1) into 1 2.011 * [taylor]: Taking taylor expansion of 1.0 in N 2.011 * [backup-simplify]: Simplify 1.0 into 1.0 2.011 * [backup-simplify]: Simplify (+ 1 0) into 1 2.011 * [backup-simplify]: Simplify (log 1) into 0 2.012 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.012 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.012 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.012 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.012 * [taylor]: Taking taylor expansion of 1/3 in N 2.012 * [backup-simplify]: Simplify 1/3 into 1/3 2.012 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.012 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.012 * [taylor]: Taking taylor expansion of N in N 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [taylor]: Taking taylor expansion of 1.0 in N 2.015 * [backup-simplify]: Simplify 1.0 into 1.0 2.016 * [backup-simplify]: Simplify (+ 1 0) into 1 2.016 * [backup-simplify]: Simplify (log 1) into 0 2.016 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.016 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.016 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.017 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.021 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.022 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 2.023 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 2.023 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [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 2.031 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.031 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 2.035 * [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)) 2.035 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 2.035 * [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))) 2.036 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 2.036 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 2.036 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.036 * [taylor]: Taking taylor expansion of 1/3 in N 2.036 * [backup-simplify]: Simplify 1/3 into 1/3 2.036 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.036 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.036 * [taylor]: Taking taylor expansion of 1.0 in N 2.036 * [backup-simplify]: Simplify 1.0 into 1.0 2.036 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.036 * [taylor]: Taking taylor expansion of N in N 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [backup-simplify]: Simplify (- 1) into -1 2.037 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.037 * [backup-simplify]: Simplify (log -1) into (log -1) 2.037 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.038 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.038 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.038 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.038 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.038 * [taylor]: Taking taylor expansion of 1/3 in N 2.038 * [backup-simplify]: Simplify 1/3 into 1/3 2.038 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.038 * [taylor]: Taking taylor expansion of 1.0 in N 2.038 * [backup-simplify]: Simplify 1.0 into 1.0 2.038 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.038 * [taylor]: Taking taylor expansion of N in N 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [backup-simplify]: Simplify (- 1) into -1 2.039 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.039 * [backup-simplify]: Simplify (log -1) into (log -1) 2.040 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.040 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.040 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.041 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (- 0) into 0 2.042 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.046 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.047 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 2.049 * [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))))) 2.050 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [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 2.058 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.059 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 2.063 * [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))))) 2.063 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 2.065 * [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)))) 2.065 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 2.065 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 2.065 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 2.065 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.065 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.065 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.065 * [taylor]: Taking taylor expansion of 1/3 in N 2.065 * [backup-simplify]: Simplify 1/3 into 1/3 2.065 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.065 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.065 * [taylor]: Taking taylor expansion of N in N 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [taylor]: Taking taylor expansion of 1.0 in N 2.065 * [backup-simplify]: Simplify 1.0 into 1.0 2.065 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.066 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.066 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 2.067 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 2.067 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.067 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.067 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.067 * [taylor]: Taking taylor expansion of 1/3 in N 2.067 * [backup-simplify]: Simplify 1/3 into 1/3 2.067 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.067 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.067 * [taylor]: Taking taylor expansion of N in N 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [taylor]: Taking taylor expansion of 1.0 in N 2.067 * [backup-simplify]: Simplify 1.0 into 1.0 2.068 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.068 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.068 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 2.069 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 2.070 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 2.070 * [backup-simplify]: Simplify (+ 1 0) into 1 2.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.074 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 2.077 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 2.078 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 2.078 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [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)) 2.086 * [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)))) 2.095 * [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)) 2.098 * [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)) 2.106 * [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)))) 2.106 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 2.106 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 2.106 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.106 * [taylor]: Taking taylor expansion of 1/3 in N 2.106 * [backup-simplify]: Simplify 1/3 into 1/3 2.106 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.106 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.106 * [taylor]: Taking taylor expansion of N in N 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify (/ 1 1) into 1 2.106 * [taylor]: Taking taylor expansion of 1.0 in N 2.106 * [backup-simplify]: Simplify 1.0 into 1.0 2.107 * [backup-simplify]: Simplify (+ 1 0) into 1 2.107 * [backup-simplify]: Simplify (log 1) into 0 2.107 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.107 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.107 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.107 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.108 * [taylor]: Taking taylor expansion of 1/3 in N 2.108 * [backup-simplify]: Simplify 1/3 into 1/3 2.108 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.108 * [taylor]: Taking taylor expansion of N in N 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [taylor]: Taking taylor expansion of 1.0 in N 2.108 * [backup-simplify]: Simplify 1.0 into 1.0 2.108 * [backup-simplify]: Simplify (+ 1 0) into 1 2.108 * [backup-simplify]: Simplify (log 1) into 0 2.109 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.109 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.109 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.109 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.114 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.114 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 2.116 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 2.116 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [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 2.123 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.124 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 2.127 * [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)) 2.127 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 2.128 * [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))) 2.128 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 2.128 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 2.128 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.128 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.128 * [taylor]: Taking taylor expansion of 1/3 in N 2.128 * [backup-simplify]: Simplify 1/3 into 1/3 2.128 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.128 * [taylor]: Taking taylor expansion of 1.0 in N 2.128 * [backup-simplify]: Simplify 1.0 into 1.0 2.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.128 * [taylor]: Taking taylor expansion of N in N 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (/ 1 1) into 1 2.129 * [backup-simplify]: Simplify (- 1) into -1 2.129 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.129 * [backup-simplify]: Simplify (log -1) into (log -1) 2.130 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.130 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.130 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.130 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.130 * [taylor]: Taking taylor expansion of 1/3 in N 2.131 * [backup-simplify]: Simplify 1/3 into 1/3 2.131 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.131 * [taylor]: Taking taylor expansion of 1.0 in N 2.131 * [backup-simplify]: Simplify 1.0 into 1.0 2.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.131 * [taylor]: Taking taylor expansion of N in N 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (/ 1 1) into 1 2.131 * [backup-simplify]: Simplify (- 1) into -1 2.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.132 * [backup-simplify]: Simplify (log -1) into (log -1) 2.132 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.132 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.133 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.133 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (- 0) into 0 2.134 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.139 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.139 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 2.141 * [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))))) 2.142 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (- 0) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.149 * [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 2.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.151 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 2.155 * [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))))) 2.155 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 2.156 * [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)))) 2.156 * * * [progress]: simplifying candidates 2.158 * [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)))) 3.808 * * * [progress]: adding candidates to table 4.064 * * [progress]: iteration 4 / 4 4.064 * * * [progress]: picking best candidate 4.068 * * * * [pick]: Picked # 4.068 * * * [progress]: localizing error 4.078 * * * [progress]: generating rewritten candidates 4.078 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.080 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.081 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.094 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.096 * * * [progress]: generating series expansions 4.096 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.097 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.097 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 4.097 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 4.097 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 4.097 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.097 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.097 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 4.097 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 4.097 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.098 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.098 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.098 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.100 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.102 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 4.102 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 4.102 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 4.102 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 4.102 * [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))) 4.102 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 4.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.103 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 4.103 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 4.103 * [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))) 4.103 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 4.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.104 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 4.104 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.110 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 4.111 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 4.111 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 4.111 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.111 * [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)))) 4.111 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 4.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.112 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 4.112 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.112 * [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)))) 4.112 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 4.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.113 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 4.113 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.119 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.119 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.119 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 4.119 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 4.120 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 4.120 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.120 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.120 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 4.120 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 4.121 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.121 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.121 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.122 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.123 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.127 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 4.127 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 4.127 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 4.127 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 4.128 * [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))) 4.128 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 4.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.128 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 4.128 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 4.129 * [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))) 4.129 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 4.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.130 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 4.130 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.137 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 4.137 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 4.137 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 4.137 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.137 * [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)))) 4.137 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 4.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.138 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 4.138 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.138 * [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)))) 4.139 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 4.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.139 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 4.140 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.142 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 4.146 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.147 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.147 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 4.147 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 4.147 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.147 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 4.147 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.148 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.149 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4.149 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 4.149 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 4.149 * [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))) 4.149 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 4.150 * [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))) 4.150 * [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))) 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.151 * [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))) 4.151 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4.152 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 4.152 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.152 * [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)))) 4.152 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.152 * [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)))) 4.153 * [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)))) 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [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))) 4.153 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.154 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.154 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 4.154 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 4.154 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.154 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 4.154 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.155 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4.155 * [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))) 4.155 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 4.155 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 4.156 * [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))) 4.156 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 4.156 * [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))) 4.157 * [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))) 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [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))) 4.158 * [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)))) 4.158 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 4.158 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.158 * [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)))) 4.158 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.158 * [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)))) 4.159 * [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)))) 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [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))) 4.160 * * * [progress]: simplifying candidates 4.162 * [simplify]: Simplifying: (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (log (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (exp (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* 1 1) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 8.791 * * * [progress]: adding candidates to table 8.932 * [progress]: [Phase 3 of 3] Extracting. 8.932 * * [regime]: Finding splitpoints for: (# # # #) 8.933 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.933 * * * * [regimes]: Trying to branch on N from (# # # #) 8.949 * * * [regime]: Found split indices: #