19.522 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.052 * * [simplify]: Extracting # 0 : cost 0 0.052 * * [simplify]: Extracting # 1 : cost 0 0.052 * * [simplify]: Extracting # 2 : cost 0 0.052 * * [simplify]: Extracting # 3 : cost 0 0.052 * * [simplify]: Extracting # 4 : cost 0 0.052 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.053 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.055 * * [simplify]: Extracting # 0 : cost 0 0.055 * * [simplify]: Extracting # 1 : cost 0 0.055 * * [simplify]: Extracting # 2 : cost 0 0.055 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.058 * * [simplify]: Extracting # 0 : cost 0 0.058 * * [simplify]: Extracting # 1 : cost 0 0.058 * * [simplify]: Extracting # 2 : cost 0 0.058 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.062 * * [simplify]: Extracting # 0 : cost 0 0.062 * * [simplify]: iteration 4 : 28 enodes (cost 8 ) 0.065 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: iteration done: 28 enodes (cost 8 ) 0.066 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.066 * * [progress]: iteration 1 / 4 0.066 * * * [progress]: picking best candidate 0.067 * * * * [pick]: Picked # 0.067 * * * [progress]: localizing error 0.077 * * * [progress]: generating rewritten candidates 0.077 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.097 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.104 * * * [progress]: generating series expansions 0.104 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.104 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.104 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [taylor]: Taking taylor expansion of (cos x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (- 1) into -1 0.105 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.106 * [backup-simplify]: Simplify (+ 0) into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.107 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.108 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.108 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [taylor]: Taking taylor expansion of (cos x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (- 1) into -1 0.109 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.109 * [backup-simplify]: Simplify (+ 0) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.110 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.110 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.111 * [backup-simplify]: Simplify 1/2 into 1/2 0.112 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.114 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.115 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.116 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.116 * [backup-simplify]: Simplify -1/24 into -1/24 0.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.121 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.122 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.123 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.123 * [backup-simplify]: Simplify 1/720 into 1/720 0.123 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.123 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.124 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.124 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.124 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.125 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.125 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.125 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.136 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.136 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.136 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [backup-simplify]: Simplify 1.0 into 1.0 0.136 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.136 * [taylor]: Taking taylor expansion of -1 in x 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ -1 1) into -1 0.137 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.137 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.137 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.137 * [taylor]: Taking taylor expansion of -1 in x 0.137 * [backup-simplify]: Simplify -1 into -1 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ -1 1) into -1 0.137 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.138 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.138 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.151 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.151 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.151 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [backup-simplify]: Simplify 1.0 into 1.0 0.151 * [taylor]: Taking taylor expansion of (cos x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [backup-simplify]: Simplify 1.0 into 1.0 0.151 * [taylor]: Taking taylor expansion of (cos x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (- 1) into -1 0.152 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ 0) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.153 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.153 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.153 * [backup-simplify]: Simplify 1/2 into 1/2 0.154 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.156 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.156 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.156 * [backup-simplify]: Simplify -1/24 into -1/24 0.157 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.160 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.161 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.161 * [backup-simplify]: Simplify 1/720 into 1/720 0.161 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 0.161 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.161 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.161 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [backup-simplify]: Simplify 1.0 into 1.0 0.161 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.162 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.162 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.162 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.162 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.165 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.165 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.165 * [taylor]: Taking taylor expansion of -1 in x 0.165 * [backup-simplify]: Simplify -1 into -1 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ -1 1) into -1 0.166 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [backup-simplify]: Simplify 1.0 into 1.0 0.166 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.166 * [taylor]: Taking taylor expansion of -1 in x 0.166 * [backup-simplify]: Simplify -1 into -1 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ -1 1) into -1 0.166 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.166 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.166 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.166 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.169 * * * [progress]: simplifying candidates 0.170 * [simplify]: Simplifying: (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.171 * * [simplify]: Extracting # 0 : cost 0 0.171 * * [simplify]: Extracting # 1 : cost 0 0.171 * * [simplify]: Extracting # 2 : cost 0 0.171 * * [simplify]: Extracting # 3 : cost 0 0.171 * * [simplify]: Extracting # 4 : cost 0 0.171 * * [simplify]: Extracting # 5 : cost 0 0.171 * * [simplify]: Extracting # 6 : cost 0 0.171 * * [simplify]: Extracting # 7 : cost 0 0.172 * * [simplify]: Extracting # 8 : cost 0 0.172 * * [simplify]: iteration 0 : 88 enodes (cost 507 ) 0.190 * * [simplify]: Extracting # 0 : cost 0 0.190 * * [simplify]: Extracting # 1 : cost 0 0.190 * * [simplify]: Extracting # 2 : cost 0 0.190 * * [simplify]: Extracting # 3 : cost 0 0.191 * * [simplify]: iteration 1 : 212 enodes (cost 489 ) 0.258 * * [simplify]: Extracting # 0 : cost 0 0.258 * * [simplify]: Extracting # 1 : cost 0 0.259 * * [simplify]: Extracting # 2 : cost 0 0.259 * * [simplify]: Extracting # 3 : cost 0 0.260 * * [simplify]: iteration 2 : 548 enodes (cost 441 ) 0.464 * * [simplify]: Extracting # 0 : cost 0 0.466 * * [simplify]: Extracting # 1 : cost 0 0.468 * * [simplify]: Extracting # 2 : cost 0 0.469 * * [simplify]: Extracting # 3 : cost 0 0.470 * * [simplify]: iteration 3 : 1500 enodes (cost 441 ) 1.495 * * [simplify]: Extracting # 0 : cost 0 1.503 * * [simplify]: Extracting # 1 : cost 0 1.511 * * [simplify]: Extracting # 2 : cost 0 1.516 * * [simplify]: Extracting # 3 : cost 0 1.520 * * [simplify]: Extracting # 4 : cost 0 1.524 * * [simplify]: iteration done: 5000 enodes (cost 441 ) 1.525 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (* x x)) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.525 * * * [progress]: adding candidates to table 1.614 * * [progress]: iteration 2 / 4 1.614 * * * [progress]: picking best candidate 1.633 * * * * [pick]: Picked # 1.633 * * * [progress]: localizing error 1.643 * * * [progress]: generating rewritten candidates 1.643 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.699 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.711 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.724 * * * [progress]: generating series expansions 1.724 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.725 * [backup-simplify]: Simplify (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.725 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 1.725 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 1.725 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 1.725 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 1.725 * [taylor]: Taking taylor expansion of 1/720 in x 1.725 * [backup-simplify]: Simplify 1/720 into 1/720 1.725 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [taylor]: Taking taylor expansion of 1/2 in x 1.725 * [backup-simplify]: Simplify 1/2 into 1/2 1.725 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 1.725 * [taylor]: Taking taylor expansion of 1/24 in x 1.725 * [backup-simplify]: Simplify 1/24 into 1/24 1.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 1.725 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 1.725 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 1.725 * [taylor]: Taking taylor expansion of 1/720 in x 1.725 * [backup-simplify]: Simplify 1/720 into 1/720 1.725 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [taylor]: Taking taylor expansion of 1/2 in x 1.725 * [backup-simplify]: Simplify 1/2 into 1/2 1.725 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 1.725 * [taylor]: Taking taylor expansion of 1/24 in x 1.725 * [backup-simplify]: Simplify 1/24 into 1/24 1.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.726 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.726 * [backup-simplify]: Simplify 1/2 into 1/2 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [backup-simplify]: Simplify (* 1 1) into 1 1.727 * [backup-simplify]: Simplify (* 1/24 1) into 1/24 1.727 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.728 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.728 * [backup-simplify]: Simplify -1/24 into -1/24 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.729 * [backup-simplify]: Simplify (+ (* 1/24 0) (* 0 1)) into 0 1.729 * [backup-simplify]: Simplify (- 0) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (* 1 1) into 1 1.729 * [backup-simplify]: Simplify (* 1 1) into 1 1.730 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 1.730 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 1.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.731 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 1))) into 0 1.731 * [backup-simplify]: Simplify (- 0) into 0 1.731 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 1.731 * [backup-simplify]: Simplify 1/720 into 1/720 1.732 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.732 * [backup-simplify]: Simplify (- (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) (* 1/24 (pow (/ 1 x) 2))) into (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) 1.732 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 1.732 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 1.732 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 1.732 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 1.732 * [taylor]: Taking taylor expansion of 1/720 in x 1.732 * [backup-simplify]: Simplify 1/720 into 1/720 1.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.732 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.732 * [taylor]: Taking taylor expansion of x in x 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify (* 1 1) into 1 1.733 * [backup-simplify]: Simplify (* 1 1) into 1 1.733 * [backup-simplify]: Simplify (/ 1 1) into 1 1.733 * [taylor]: Taking taylor expansion of 1/2 in x 1.733 * [backup-simplify]: Simplify 1/2 into 1/2 1.733 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 1.733 * [taylor]: Taking taylor expansion of 1/24 in x 1.733 * [backup-simplify]: Simplify 1/24 into 1/24 1.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (* 1 1) into 1 1.733 * [backup-simplify]: Simplify (/ 1 1) into 1 1.733 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 1.733 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 1.733 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 1.733 * [taylor]: Taking taylor expansion of 1/720 in x 1.733 * [backup-simplify]: Simplify 1/720 into 1/720 1.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.733 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [backup-simplify]: Simplify (* 1 1) into 1 1.734 * [backup-simplify]: Simplify (* 1 1) into 1 1.734 * [backup-simplify]: Simplify (/ 1 1) into 1 1.734 * [taylor]: Taking taylor expansion of 1/2 in x 1.734 * [backup-simplify]: Simplify 1/2 into 1/2 1.734 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 1.734 * [taylor]: Taking taylor expansion of 1/24 in x 1.734 * [backup-simplify]: Simplify 1/24 into 1/24 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (* 1 1) into 1 1.735 * [backup-simplify]: Simplify (/ 1 1) into 1 1.735 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 1.735 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 1.736 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 1.736 * [backup-simplify]: Simplify 1/720 into 1/720 1.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.740 * [backup-simplify]: Simplify (* 1/24 1) into 1/24 1.740 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.740 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.741 * [backup-simplify]: Simplify -1/24 into -1/24 1.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.743 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.743 * [backup-simplify]: Simplify (+ 0 0) into 0 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ (* 1/24 0) (* 0 1)) into 0 1.745 * [backup-simplify]: Simplify (- 0) into 0 1.745 * [backup-simplify]: Simplify (+ 0 0) into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.748 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 1))) into 0 1.752 * [backup-simplify]: Simplify (- 0) into 0 1.752 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.752 * [backup-simplify]: Simplify 1/2 into 1/2 1.752 * [backup-simplify]: Simplify (+ 1/2 (+ (* -1/24 (pow (/ 1 (/ 1 x)) 2)) (* 1/720 (pow (/ 1 (/ 1 x)) 4)))) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.753 * [backup-simplify]: Simplify (- (+ (* 1/720 (pow (/ 1 (- x)) 4)) 1/2) (* 1/24 (pow (/ 1 (- x)) 2))) into (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) 1.753 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 1.753 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 1.753 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 1.753 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 1.753 * [taylor]: Taking taylor expansion of 1/720 in x 1.753 * [backup-simplify]: Simplify 1/720 into 1/720 1.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.753 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (* 1 1) into 1 1.753 * [backup-simplify]: Simplify (* 1 1) into 1 1.753 * [backup-simplify]: Simplify (/ 1 1) into 1 1.753 * [taylor]: Taking taylor expansion of 1/2 in x 1.753 * [backup-simplify]: Simplify 1/2 into 1/2 1.753 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 1.753 * [taylor]: Taking taylor expansion of 1/24 in x 1.753 * [backup-simplify]: Simplify 1/24 into 1/24 1.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.754 * [taylor]: Taking taylor expansion of x in x 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (* 1 1) into 1 1.754 * [backup-simplify]: Simplify (/ 1 1) into 1 1.754 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 1.754 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 1.754 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 1.754 * [taylor]: Taking taylor expansion of 1/720 in x 1.754 * [backup-simplify]: Simplify 1/720 into 1/720 1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.754 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.754 * [taylor]: Taking taylor expansion of x in x 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (* 1 1) into 1 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.755 * [backup-simplify]: Simplify (/ 1 1) into 1 1.755 * [taylor]: Taking taylor expansion of 1/2 in x 1.755 * [backup-simplify]: Simplify 1/2 into 1/2 1.755 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 1.755 * [taylor]: Taking taylor expansion of 1/24 in x 1.755 * [backup-simplify]: Simplify 1/24 into 1/24 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.755 * [taylor]: Taking taylor expansion of x in x 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.755 * [backup-simplify]: Simplify (/ 1 1) into 1 1.756 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 1.756 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 1.756 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 1.756 * [backup-simplify]: Simplify 1/720 into 1/720 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 1.760 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (* 1/24 1) into 1/24 1.761 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.761 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.761 * [backup-simplify]: Simplify -1/24 into -1/24 1.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* 1/24 0) (* 0 1)) into 0 1.765 * [backup-simplify]: Simplify (- 0) into 0 1.765 * [backup-simplify]: Simplify (+ 0 0) into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.768 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 1))) into 0 1.769 * [backup-simplify]: Simplify (- 0) into 0 1.769 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.770 * [backup-simplify]: Simplify 1/2 into 1/2 1.770 * [backup-simplify]: Simplify (+ 1/2 (+ (* -1/24 (pow (/ 1 (/ 1 (- x))) 2)) (* 1/720 (pow (/ 1 (/ 1 (- x))) 4)))) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.770 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.770 * [backup-simplify]: Simplify (* 1/24 (pow x 2)) into (* 1/24 (pow x 2)) 1.770 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 1.770 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 1.770 * [taylor]: Taking taylor expansion of 1/24 in x 1.770 * [backup-simplify]: Simplify 1/24 into 1/24 1.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.770 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 1.770 * [taylor]: Taking taylor expansion of 1/24 in x 1.770 * [backup-simplify]: Simplify 1/24 into 1/24 1.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (* 1 1) into 1 1.771 * [backup-simplify]: Simplify (* 1/24 1) into 1/24 1.771 * [backup-simplify]: Simplify 1/24 into 1/24 1.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.772 * [backup-simplify]: Simplify (+ (* 1/24 0) (* 0 1)) into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.773 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 1))) into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.775 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.776 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.778 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (* 1/24 (pow x 2)) into (* 1/24 (pow x 2)) 1.778 * [backup-simplify]: Simplify (* 1/24 (pow (/ 1 x) 2)) into (/ 1/24 (pow x 2)) 1.778 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 1.778 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 1.778 * [taylor]: Taking taylor expansion of 1/24 in x 1.778 * [backup-simplify]: Simplify 1/24 into 1/24 1.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (* 1 1) into 1 1.779 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 1.779 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 1.779 * [taylor]: Taking taylor expansion of 1/24 in x 1.779 * [backup-simplify]: Simplify 1/24 into 1/24 1.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (* 1 1) into 1 1.779 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 1.780 * [backup-simplify]: Simplify 1/24 into 1/24 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify (* 1/24 (pow (/ 1 (/ 1 x)) 2)) into (* 1/24 (pow x 2)) 1.787 * [backup-simplify]: Simplify (* 1/24 (pow (/ 1 (- x)) 2)) into (/ 1/24 (pow x 2)) 1.787 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 1.787 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 1.787 * [taylor]: Taking taylor expansion of 1/24 in x 1.787 * [backup-simplify]: Simplify 1/24 into 1/24 1.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (* 1 1) into 1 1.787 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 1.787 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 1.787 * [taylor]: Taking taylor expansion of 1/24 in x 1.787 * [backup-simplify]: Simplify 1/24 into 1/24 1.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.788 * [backup-simplify]: Simplify (* 1 1) into 1 1.788 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 1.788 * [backup-simplify]: Simplify 1/24 into 1/24 1.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (* 1/24 (pow (/ 1 (/ 1 (- x))) 2)) into (* 1/24 (pow x 2)) 1.795 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.795 * [backup-simplify]: Simplify (* 1/720 (pow x 4)) into (* 1/720 (pow x 4)) 1.795 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 1.795 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 1.795 * [taylor]: Taking taylor expansion of 1/720 in x 1.796 * [backup-simplify]: Simplify 1/720 into 1/720 1.796 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 1.796 * [taylor]: Taking taylor expansion of 1/720 in x 1.796 * [backup-simplify]: Simplify 1/720 into 1/720 1.796 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (* 1 1) into 1 1.796 * [backup-simplify]: Simplify (* 1 1) into 1 1.796 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 1.796 * [backup-simplify]: Simplify 1/720 into 1/720 1.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.798 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.799 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.803 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.805 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.805 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (* 1/720 (pow x 4)) into (* 1/720 (pow x 4)) 1.807 * [backup-simplify]: Simplify (* 1/720 (pow (/ 1 x) 4)) into (/ 1/720 (pow x 4)) 1.807 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 1.807 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 1.807 * [taylor]: Taking taylor expansion of 1/720 in x 1.807 * [backup-simplify]: Simplify 1/720 into 1/720 1.808 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (* 1 1) into 1 1.808 * [backup-simplify]: Simplify (* 1 1) into 1 1.808 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 1.808 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 1.808 * [taylor]: Taking taylor expansion of 1/720 in x 1.808 * [backup-simplify]: Simplify 1/720 into 1/720 1.808 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (* 1 1) into 1 1.809 * [backup-simplify]: Simplify (* 1 1) into 1 1.809 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 1.809 * [backup-simplify]: Simplify 1/720 into 1/720 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)))) into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.813 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (* 1/720 (pow (/ 1 (/ 1 x)) 4)) into (* 1/720 (pow x 4)) 1.820 * [backup-simplify]: Simplify (* 1/720 (pow (/ 1 (- x)) 4)) into (/ 1/720 (pow x 4)) 1.820 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 1.820 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 1.820 * [taylor]: Taking taylor expansion of 1/720 in x 1.820 * [backup-simplify]: Simplify 1/720 into 1/720 1.820 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (* 1 1) into 1 1.820 * [backup-simplify]: Simplify (* 1 1) into 1 1.820 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 1.820 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 1.820 * [taylor]: Taking taylor expansion of 1/720 in x 1.820 * [backup-simplify]: Simplify 1/720 into 1/720 1.820 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (* 1 1) into 1 1.821 * [backup-simplify]: Simplify (* 1 1) into 1 1.821 * [backup-simplify]: Simplify (/ 1/720 1) into 1/720 1.821 * [backup-simplify]: Simplify 1/720 into 1/720 1.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/720 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify (* 1/720 (pow (/ 1 (/ 1 (- x))) 4)) into (* 1/720 (pow x 4)) 1.832 * * * [progress]: simplifying candidates 1.835 * [simplify]: Simplifying: (/ (* (exp (* 1/720 (pow x 4))) (exp 1/2)) (exp (* 1/24 (pow x 2)))) (/ (exp (+ (* 1/720 (pow x 4)) 1/2)) (exp (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (* (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (+ (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (- (* 1/24 (pow x 2))) (- (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2)))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (log (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 (pow (sqrt x) 2)) (* 1/24 (pow 1 2)) (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (sqrt (pow x 2))) (* 1/24 1) (* 1/24 (pow x (/ 2 2))) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (log (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (* (* (* 1/720 1/720) 1/720) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (* (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x (/ 4 2))) (* (sqrt 1/720) (pow x (/ 4 2))) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow (sqrt x) 4)) (* 1/720 (pow 1 4)) (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) (* 1/720 1) (* 1/720 (pow x (/ 4 2))) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 1.836 * * [simplify]: Extracting # 0 : cost 0 1.836 * * [simplify]: Extracting # 1 : cost 0 1.836 * * [simplify]: Extracting # 2 : cost 0 1.837 * * [simplify]: Extracting # 3 : cost 0 1.837 * * [simplify]: Extracting # 4 : cost 0 1.837 * * [simplify]: Extracting # 5 : cost 0 1.837 * * [simplify]: Extracting # 6 : cost 0 1.837 * * [simplify]: iteration 0 : 121 enodes (cost 780 ) 1.872 * * [simplify]: Extracting # 0 : cost 0 1.873 * * [simplify]: Extracting # 1 : cost 0 1.873 * * [simplify]: Extracting # 2 : cost 0 1.873 * * [simplify]: Extracting # 3 : cost 0 1.873 * * [simplify]: iteration 1 : 272 enodes (cost 701 ) 1.939 * * [simplify]: Extracting # 0 : cost 0 1.940 * * [simplify]: Extracting # 1 : cost 0 1.940 * * [simplify]: Extracting # 2 : cost 0 1.941 * * [simplify]: Extracting # 3 : cost 0 1.941 * * [simplify]: Extracting # 4 : cost 0 1.942 * * [simplify]: iteration 2 : 685 enodes (cost 643 ) 2.337 * * [simplify]: Extracting # 0 : cost 0 2.341 * * [simplify]: Extracting # 1 : cost 0 2.348 * * [simplify]: Extracting # 2 : cost 0 2.351 * * [simplify]: Extracting # 3 : cost 0 2.353 * * [simplify]: Extracting # 4 : cost 0 2.356 * * [simplify]: Extracting # 5 : cost 0 2.359 * * [simplify]: iteration 3 : 2993 enodes (cost 629 ) 3.526 * * [simplify]: Extracting # 0 : cost 0 3.532 * * [simplify]: Extracting # 1 : cost 0 3.537 * * [simplify]: Extracting # 2 : cost 0 3.542 * * [simplify]: Extracting # 3 : cost 0 3.547 * * [simplify]: Extracting # 4 : cost 0 3.552 * * [simplify]: iteration done: 5002 enodes (cost 626 ) 3.553 * [simplify]: Simplified to: (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (pow (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (* (pow x 6) 1/13824)) (+ (* 1/576 (pow x 4)) (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (* -1/24 (pow x 2)) (- (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (* 1/576 (pow x 4))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (* -1/24 (pow x 2)) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (pow x 6) 1/13824) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (pow x 6) 1/13824) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (sqrt 1/24) (fabs x)) (* (sqrt 1/24) (fabs x)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (* 1/24 x) (cbrt x)) (* 1/24 x) 1/24 (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* 1/24 x) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (* 1/373248000 (pow (pow x 4) 3)) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (* 1/373248000 (pow (pow x 4) 3)) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (* x x)) (* (sqrt 1/720) (* x x)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (* x x)) (* (sqrt 1/720) (* x x)) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (* x x)) 1/720 (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) 1/720 (* 1/720 (* x x)) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 3.553 * * * [progress]: adding candidates to table 3.691 * * [progress]: iteration 3 / 4 3.691 * * * [progress]: picking best candidate 3.710 * * * * [pick]: Picked # 3.710 * * * [progress]: localizing error 3.717 * * * [progress]: generating rewritten candidates 3.717 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 3.723 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 3.763 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 3.784 * * * [progress]: generating series expansions 3.784 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 3.784 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 3.784 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.784 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.784 * [taylor]: Taking taylor expansion of 1.0 in x 3.784 * [backup-simplify]: Simplify 1.0 into 1.0 3.784 * [taylor]: Taking taylor expansion of (cos x) in x 3.784 * [taylor]: Taking taylor expansion of x in x 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.784 * [taylor]: Taking taylor expansion of 1.0 in x 3.784 * [backup-simplify]: Simplify 1.0 into 1.0 3.784 * [taylor]: Taking taylor expansion of (cos x) in x 3.784 * [taylor]: Taking taylor expansion of x in x 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (- 1) into -1 3.785 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.785 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (+ 0) into 0 3.786 * [backup-simplify]: Simplify (- 0) into 0 3.787 * [backup-simplify]: Simplify (+ 0 0) into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.787 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.788 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.788 * [backup-simplify]: Simplify 1/2 into 1/2 3.788 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.788 * [backup-simplify]: Simplify (- 0) into 0 3.789 * [backup-simplify]: Simplify (+ 0 0) into 0 3.789 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.790 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.791 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.791 * [backup-simplify]: Simplify -1/24 into -1/24 3.792 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.792 * [backup-simplify]: Simplify (- 0) into 0 3.792 * [backup-simplify]: Simplify (+ 0 0) into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 3.795 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.795 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.795 * [backup-simplify]: Simplify 1/720 into 1/720 3.795 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 3.796 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.796 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.796 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.796 * [taylor]: Taking taylor expansion of 1.0 in x 3.796 * [backup-simplify]: Simplify 1.0 into 1.0 3.796 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.796 * [taylor]: Taking taylor expansion of x in x 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (/ 1 1) into 1 3.796 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.796 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.796 * [taylor]: Taking taylor expansion of 1.0 in x 3.796 * [backup-simplify]: Simplify 1.0 into 1.0 3.796 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.796 * [taylor]: Taking taylor expansion of x in x 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (/ 1 1) into 1 3.796 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.797 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.797 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.797 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.797 * [backup-simplify]: Simplify (- 0) into 0 3.797 * [backup-simplify]: Simplify (+ 0 0) into 0 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify (- 0) into 0 3.801 * [backup-simplify]: Simplify (+ 0 0) into 0 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify (- 0) into 0 3.801 * [backup-simplify]: Simplify (+ 0 0) into 0 3.801 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (- 0) into 0 3.802 * [backup-simplify]: Simplify (+ 0 0) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (- 0) into 0 3.802 * [backup-simplify]: Simplify (+ 0 0) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify (- 0) into 0 3.803 * [backup-simplify]: Simplify (+ 0 0) into 0 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 3.803 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 3.803 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.803 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.803 * [taylor]: Taking taylor expansion of 1.0 in x 3.803 * [backup-simplify]: Simplify 1.0 into 1.0 3.803 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.803 * [taylor]: Taking taylor expansion of -1 in x 3.803 * [backup-simplify]: Simplify -1 into -1 3.803 * [taylor]: Taking taylor expansion of x in x 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.803 * [backup-simplify]: Simplify (/ -1 1) into -1 3.804 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.804 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.804 * [taylor]: Taking taylor expansion of 1.0 in x 3.804 * [backup-simplify]: Simplify 1.0 into 1.0 3.804 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.804 * [taylor]: Taking taylor expansion of -1 in x 3.804 * [backup-simplify]: Simplify -1 into -1 3.804 * [taylor]: Taking taylor expansion of x in x 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 1 into 1 3.804 * [backup-simplify]: Simplify (/ -1 1) into -1 3.804 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.804 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.804 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.804 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 3.804 * [backup-simplify]: Simplify (- 0) into 0 3.805 * [backup-simplify]: Simplify (+ 0 0) into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify (- 0) into 0 3.805 * [backup-simplify]: Simplify (+ 0 0) into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify (- 0) into 0 3.806 * [backup-simplify]: Simplify (+ 0 0) into 0 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (- 0) into 0 3.806 * [backup-simplify]: Simplify (+ 0 0) into 0 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (- 0) into 0 3.806 * [backup-simplify]: Simplify (+ 0 0) into 0 3.806 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify (- 0) into 0 3.807 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 3.807 * * * * [progress]: [ 2 / 3 ] generating series at (2) 3.807 * [backup-simplify]: Simplify (* (/ 1 x) (/ (- 1.0 (cos x)) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 3.807 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 3.807 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 3.807 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.807 * [taylor]: Taking taylor expansion of 1.0 in x 3.807 * [backup-simplify]: Simplify 1.0 into 1.0 3.807 * [taylor]: Taking taylor expansion of (cos x) in x 3.807 * [taylor]: Taking taylor expansion of x in x 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 1 into 1 3.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.807 * [taylor]: Taking taylor expansion of x in x 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (- 1) into -1 3.808 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.808 * [backup-simplify]: Simplify (+ 0) into 0 3.808 * [backup-simplify]: Simplify (- 0) into 0 3.809 * [backup-simplify]: Simplify (+ 0 0) into 0 3.809 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.809 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.810 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.810 * [backup-simplify]: Simplify (* 1 1) into 1 3.810 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.810 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 3.810 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.810 * [taylor]: Taking taylor expansion of 1.0 in x 3.810 * [backup-simplify]: Simplify 1.0 into 1.0 3.810 * [taylor]: Taking taylor expansion of (cos x) in x 3.810 * [taylor]: Taking taylor expansion of x in x 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 1 into 1 3.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.810 * [taylor]: Taking taylor expansion of x in x 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 1 into 1 3.810 * [backup-simplify]: Simplify (- 1) into -1 3.811 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.811 * [backup-simplify]: Simplify (+ 0) into 0 3.811 * [backup-simplify]: Simplify (- 0) into 0 3.811 * [backup-simplify]: Simplify (+ 0 0) into 0 3.812 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.812 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.812 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.813 * [backup-simplify]: Simplify (* 1 1) into 1 3.813 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.813 * [backup-simplify]: Simplify 1/2 into 1/2 3.814 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.814 * [backup-simplify]: Simplify (- 0) into 0 3.814 * [backup-simplify]: Simplify (+ 0 0) into 0 3.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.816 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.817 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.818 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 3.818 * [backup-simplify]: Simplify -1/24 into -1/24 3.819 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.819 * [backup-simplify]: Simplify (- 0) into 0 3.819 * [backup-simplify]: Simplify (+ 0 0) into 0 3.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 3.823 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.823 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.825 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 3.825 * [backup-simplify]: Simplify 1/720 into 1/720 3.825 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3.825 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (/ (- 1.0 (cos (/ 1 x))) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 3.825 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 3.825 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 3.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.825 * [taylor]: Taking taylor expansion of x in x 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 1 into 1 3.825 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.825 * [taylor]: Taking taylor expansion of 1.0 in x 3.825 * [backup-simplify]: Simplify 1.0 into 1.0 3.825 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [backup-simplify]: Simplify (/ 1 1) into 1 3.826 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.826 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 3.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.826 * [taylor]: Taking taylor expansion of 1.0 in x 3.826 * [backup-simplify]: Simplify 1.0 into 1.0 3.826 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [backup-simplify]: Simplify (/ 1 1) into 1 3.826 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.827 * [backup-simplify]: Simplify (* 1 1) into 1 3.827 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.827 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.827 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.827 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.827 * [backup-simplify]: Simplify (- 0) into 0 3.827 * [backup-simplify]: Simplify (+ 0 0) into 0 3.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify (- 0) into 0 3.828 * [backup-simplify]: Simplify (+ 0 0) into 0 3.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 3.829 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify (- 0) into 0 3.830 * [backup-simplify]: Simplify (+ 0 0) into 0 3.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify (- 0) into 0 3.832 * [backup-simplify]: Simplify (+ 0 0) into 0 3.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify (- 0) into 0 3.834 * [backup-simplify]: Simplify (+ 0 0) into 0 3.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 3.836 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify (- 0) into 0 3.836 * [backup-simplify]: Simplify (+ 0 0) into 0 3.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 3.838 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 3.839 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 3.839 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 3.839 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 3.839 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.839 * [taylor]: Taking taylor expansion of 1.0 in x 3.839 * [backup-simplify]: Simplify 1.0 into 1.0 3.839 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.839 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.839 * [taylor]: Taking taylor expansion of -1 in x 3.839 * [backup-simplify]: Simplify -1 into -1 3.839 * [taylor]: Taking taylor expansion of x in x 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.839 * [backup-simplify]: Simplify (/ -1 1) into -1 3.839 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.839 * [taylor]: Taking taylor expansion of x in x 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.839 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 3.839 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.839 * [taylor]: Taking taylor expansion of 1.0 in x 3.839 * [backup-simplify]: Simplify 1.0 into 1.0 3.839 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.839 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.839 * [taylor]: Taking taylor expansion of -1 in x 3.839 * [backup-simplify]: Simplify -1 into -1 3.840 * [taylor]: Taking taylor expansion of x in x 3.840 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify 1 into 1 3.840 * [backup-simplify]: Simplify (/ -1 1) into -1 3.840 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.840 * [taylor]: Taking taylor expansion of x in x 3.840 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify 1 into 1 3.840 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.840 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.840 * [backup-simplify]: Simplify (* 1 1) into 1 3.840 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 3.840 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 3.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.841 * [backup-simplify]: Simplify (- 0) into 0 3.841 * [backup-simplify]: Simplify (+ 0 0) into 0 3.842 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.842 * [backup-simplify]: Simplify (- 0) into 0 3.843 * [backup-simplify]: Simplify (+ 0 0) into 0 3.843 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (- 0) into 0 3.844 * [backup-simplify]: Simplify (+ 0 0) into 0 3.844 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.844 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.845 * [backup-simplify]: Simplify (- 0) into 0 3.845 * [backup-simplify]: Simplify (+ 0 0) into 0 3.846 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.846 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.847 * [backup-simplify]: Simplify (- 0) into 0 3.847 * [backup-simplify]: Simplify (+ 0 0) into 0 3.848 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.848 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.849 * [backup-simplify]: Simplify (- 0) into 0 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 3.850 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 3.850 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 3.850 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 3.850 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 3.850 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.850 * [taylor]: Taking taylor expansion of 1.0 in x 3.850 * [backup-simplify]: Simplify 1.0 into 1.0 3.850 * [taylor]: Taking taylor expansion of (cos x) in x 3.851 * [taylor]: Taking taylor expansion of x in x 3.851 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify 1 into 1 3.851 * [taylor]: Taking taylor expansion of x in x 3.851 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify 1 into 1 3.851 * [backup-simplify]: Simplify (- 1) into -1 3.851 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.851 * [backup-simplify]: Simplify (+ 0) into 0 3.852 * [backup-simplify]: Simplify (- 0) into 0 3.852 * [backup-simplify]: Simplify (+ 0 0) into 0 3.852 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.852 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.853 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.853 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.853 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 3.853 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.853 * [taylor]: Taking taylor expansion of 1.0 in x 3.853 * [backup-simplify]: Simplify 1.0 into 1.0 3.853 * [taylor]: Taking taylor expansion of (cos x) in x 3.853 * [taylor]: Taking taylor expansion of x in x 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [taylor]: Taking taylor expansion of x in x 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (- 1) into -1 3.854 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.854 * [backup-simplify]: Simplify (+ 0) into 0 3.854 * [backup-simplify]: Simplify (- 0) into 0 3.854 * [backup-simplify]: Simplify (+ 0 0) into 0 3.855 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.855 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.855 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.856 * [backup-simplify]: Simplify 1/2 into 1/2 3.856 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.856 * [backup-simplify]: Simplify (- 0) into 0 3.857 * [backup-simplify]: Simplify (+ 0 0) into 0 3.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.859 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.859 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.860 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 3.860 * [backup-simplify]: Simplify -1/24 into -1/24 3.861 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.861 * [backup-simplify]: Simplify (- 0) into 0 3.861 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 3.865 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.865 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.866 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 3.866 * [backup-simplify]: Simplify 1/720 into 1/720 3.866 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 3.866 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 3.866 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 3.866 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 3.866 * [taylor]: Taking taylor expansion of x in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.866 * [taylor]: Taking taylor expansion of 1.0 in x 3.866 * [backup-simplify]: Simplify 1.0 into 1.0 3.866 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.866 * [taylor]: Taking taylor expansion of x in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.867 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.867 * [taylor]: Taking taylor expansion of 1.0 in x 3.867 * [backup-simplify]: Simplify 1.0 into 1.0 3.867 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.867 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.867 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.867 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.868 * [backup-simplify]: Simplify (+ 0 0) into 0 3.868 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 3.868 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.869 * [backup-simplify]: Simplify (+ 0 0) into 0 3.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify (- 0) into 0 3.870 * [backup-simplify]: Simplify (+ 0 0) into 0 3.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (- 0) into 0 3.871 * [backup-simplify]: Simplify (+ 0 0) into 0 3.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify (- 0) into 0 3.872 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify (- 0) into 0 3.874 * [backup-simplify]: Simplify (+ 0 0) into 0 3.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (- 0) into 0 3.875 * [backup-simplify]: Simplify (+ 0 0) into 0 3.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))))) into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 3.877 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 3.877 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 3.877 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 3.877 * [taylor]: Taking taylor expansion of -1 in x 3.877 * [backup-simplify]: Simplify -1 into -1 3.877 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 3.877 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.877 * [taylor]: Taking taylor expansion of 1.0 in x 3.877 * [backup-simplify]: Simplify 1.0 into 1.0 3.877 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.877 * [taylor]: Taking taylor expansion of -1 in x 3.877 * [backup-simplify]: Simplify -1 into -1 3.877 * [taylor]: Taking taylor expansion of x in x 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (/ -1 1) into -1 3.878 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.878 * [taylor]: Taking taylor expansion of x in x 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 3.878 * [taylor]: Taking taylor expansion of -1 in x 3.878 * [backup-simplify]: Simplify -1 into -1 3.878 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 3.878 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.878 * [taylor]: Taking taylor expansion of 1.0 in x 3.878 * [backup-simplify]: Simplify 1.0 into 1.0 3.878 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.878 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.878 * [taylor]: Taking taylor expansion of -1 in x 3.878 * [backup-simplify]: Simplify -1 into -1 3.878 * [taylor]: Taking taylor expansion of x in x 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (/ -1 1) into -1 3.878 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.878 * [taylor]: Taking taylor expansion of x in x 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.878 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.878 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 3.879 * [backup-simplify]: Simplify (* -1 0) into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify (- 0) into 0 3.879 * [backup-simplify]: Simplify (+ 0 0) into 0 3.879 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 3.880 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 3.880 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 3.880 * [backup-simplify]: Simplify (- 0) into 0 3.880 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 3.881 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify (- 0) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.883 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify (- 0) into 0 3.883 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.885 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (- 0) into 0 3.885 * [backup-simplify]: Simplify (+ 0 0) into 0 3.886 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.887 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 3.887 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify (- 0) into 0 3.888 * [backup-simplify]: Simplify (+ 0 0) into 0 3.889 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify (- 0) into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.895 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))))) into 0 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 3.895 * * * [progress]: simplifying candidates 3.897 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (- (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 3.900 * * [simplify]: Extracting # 0 : cost 0 3.900 * * [simplify]: Extracting # 1 : cost 0 3.900 * * [simplify]: Extracting # 2 : cost 0 3.900 * * [simplify]: Extracting # 3 : cost 0 3.901 * * [simplify]: Extracting # 4 : cost 0 3.901 * * [simplify]: Extracting # 5 : cost 0 3.901 * * [simplify]: Extracting # 6 : cost 0 3.901 * * [simplify]: Extracting # 7 : cost 0 3.901 * * [simplify]: Extracting # 8 : cost 0 3.902 * * [simplify]: iteration 0 : 189 enodes (cost 1536 ) 3.948 * * [simplify]: Extracting # 0 : cost 0 3.949 * * [simplify]: Extracting # 1 : cost 0 3.949 * * [simplify]: Extracting # 2 : cost 0 3.950 * * [simplify]: Extracting # 3 : cost 0 3.950 * * [simplify]: Extracting # 4 : cost 0 3.951 * * [simplify]: iteration 1 : 496 enodes (cost 1379 ) 4.156 * * [simplify]: Extracting # 0 : cost 0 4.158 * * [simplify]: Extracting # 1 : cost 0 4.159 * * [simplify]: Extracting # 2 : cost 0 4.160 * * [simplify]: Extracting # 3 : cost 0 4.161 * * [simplify]: Extracting # 4 : cost 0 4.163 * * [simplify]: iteration 2 : 1535 enodes (cost 1227 ) 5.421 * * [simplify]: Extracting # 0 : cost 0 5.426 * * [simplify]: Extracting # 1 : cost 0 5.431 * * [simplify]: Extracting # 2 : cost 0 5.435 * * [simplify]: Extracting # 3 : cost 0 5.439 * * [simplify]: Extracting # 4 : cost 0 5.443 * * [simplify]: iteration done: 5000 enodes (cost 1226 ) 5.444 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (- 1.0 (cos x)) (pow x 2)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (exp (/ (/ (- 1.0 (cos x)) x) x)) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (- 1.0 (cos x)) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (* (cbrt x) (cbrt x))) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) x) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (cos x) 1.0) (- x) (/ 1.0 x) (/ (cos x) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) x) (* x (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) 5.445 * * * [progress]: adding candidates to table 5.644 * * [progress]: iteration 4 / 4 5.644 * * * [progress]: picking best candidate 5.667 * * * * [pick]: Picked # 5.667 * * * [progress]: localizing error 5.677 * * * [progress]: generating rewritten candidates 5.677 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 5.683 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 5.692 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.741 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.815 * * * [progress]: generating series expansions 5.815 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 5.816 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 5.816 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.816 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.816 * [taylor]: Taking taylor expansion of 1.0 in x 5.816 * [backup-simplify]: Simplify 1.0 into 1.0 5.816 * [taylor]: Taking taylor expansion of (cos x) in x 5.816 * [taylor]: Taking taylor expansion of x in x 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.816 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.816 * [taylor]: Taking taylor expansion of 1.0 in x 5.816 * [backup-simplify]: Simplify 1.0 into 1.0 5.816 * [taylor]: Taking taylor expansion of (cos x) in x 5.816 * [taylor]: Taking taylor expansion of x in x 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (- 1) into -1 5.817 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify (+ 0) into 0 5.818 * [backup-simplify]: Simplify (- 0) into 0 5.818 * [backup-simplify]: Simplify (+ 0 0) into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.819 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.819 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.819 * [backup-simplify]: Simplify 1/2 into 1/2 5.820 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.820 * [backup-simplify]: Simplify (- 0) into 0 5.820 * [backup-simplify]: Simplify (+ 0 0) into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 5.822 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.822 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.822 * [backup-simplify]: Simplify -1/24 into -1/24 5.823 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.823 * [backup-simplify]: Simplify (- 0) into 0 5.824 * [backup-simplify]: Simplify (+ 0 0) into 0 5.824 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 5.826 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.827 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.827 * [backup-simplify]: Simplify 1/720 into 1/720 5.827 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 5.827 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.827 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.827 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.827 * [taylor]: Taking taylor expansion of 1.0 in x 5.827 * [backup-simplify]: Simplify 1.0 into 1.0 5.827 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.827 * [taylor]: Taking taylor expansion of x in x 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 1 into 1 5.828 * [backup-simplify]: Simplify (/ 1 1) into 1 5.828 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.828 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.828 * [taylor]: Taking taylor expansion of 1.0 in x 5.828 * [backup-simplify]: Simplify 1.0 into 1.0 5.828 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.828 * [taylor]: Taking taylor expansion of x in x 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.828 * [backup-simplify]: Simplify (/ 1 1) into 1 5.828 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.828 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.828 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.828 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.829 * [backup-simplify]: Simplify (- 0) into 0 5.829 * [backup-simplify]: Simplify (+ 0 0) into 0 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify (- 0) into 0 5.829 * [backup-simplify]: Simplify (+ 0 0) into 0 5.829 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify (- 0) into 0 5.830 * [backup-simplify]: Simplify (+ 0 0) into 0 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify (- 0) into 0 5.830 * [backup-simplify]: Simplify (+ 0 0) into 0 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify (- 0) into 0 5.831 * [backup-simplify]: Simplify (+ 0 0) into 0 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify (- 0) into 0 5.831 * [backup-simplify]: Simplify (+ 0 0) into 0 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 5.831 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 5.831 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.831 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.831 * [taylor]: Taking taylor expansion of 1.0 in x 5.831 * [backup-simplify]: Simplify 1.0 into 1.0 5.831 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.831 * [taylor]: Taking taylor expansion of -1 in x 5.831 * [backup-simplify]: Simplify -1 into -1 5.831 * [taylor]: Taking taylor expansion of x in x 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 1 into 1 5.832 * [backup-simplify]: Simplify (/ -1 1) into -1 5.832 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.832 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.832 * [taylor]: Taking taylor expansion of 1.0 in x 5.832 * [backup-simplify]: Simplify 1.0 into 1.0 5.832 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.832 * [taylor]: Taking taylor expansion of -1 in x 5.832 * [backup-simplify]: Simplify -1 into -1 5.832 * [taylor]: Taking taylor expansion of x in x 5.832 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify 1 into 1 5.832 * [backup-simplify]: Simplify (/ -1 1) into -1 5.832 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.832 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.832 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.832 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.833 * [backup-simplify]: Simplify (- 0) into 0 5.833 * [backup-simplify]: Simplify (+ 0 0) into 0 5.833 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify (- 0) into 0 5.833 * [backup-simplify]: Simplify (+ 0 0) into 0 5.833 * [backup-simplify]: Simplify 0 into 0 5.834 * [backup-simplify]: Simplify (- 0) into 0 5.834 * [backup-simplify]: Simplify (+ 0 0) into 0 5.834 * [backup-simplify]: Simplify 0 into 0 5.834 * [backup-simplify]: Simplify (- 0) into 0 5.834 * [backup-simplify]: Simplify (+ 0 0) into 0 5.834 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify (- 0) into 0 5.835 * [backup-simplify]: Simplify (+ 0 0) into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify (- 0) into 0 5.835 * [backup-simplify]: Simplify (+ 0 0) into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 5.835 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 5.835 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 5.835 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.835 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.835 * [taylor]: Taking taylor expansion of 1.0 in x 5.835 * [backup-simplify]: Simplify 1.0 into 1.0 5.836 * [taylor]: Taking taylor expansion of (cos x) in x 5.836 * [taylor]: Taking taylor expansion of x in x 5.836 * [backup-simplify]: Simplify 0 into 0 5.836 * [backup-simplify]: Simplify 1 into 1 5.836 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.836 * [taylor]: Taking taylor expansion of 1.0 in x 5.836 * [backup-simplify]: Simplify 1.0 into 1.0 5.836 * [taylor]: Taking taylor expansion of (cos x) in x 5.836 * [taylor]: Taking taylor expansion of x in x 5.836 * [backup-simplify]: Simplify 0 into 0 5.836 * [backup-simplify]: Simplify 1 into 1 5.836 * [backup-simplify]: Simplify (- 1) into -1 5.836 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.836 * [backup-simplify]: Simplify 0 into 0 5.836 * [backup-simplify]: Simplify (+ 0) into 0 5.837 * [backup-simplify]: Simplify (- 0) into 0 5.837 * [backup-simplify]: Simplify (+ 0 0) into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.838 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.838 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.838 * [backup-simplify]: Simplify 1/2 into 1/2 5.839 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.839 * [backup-simplify]: Simplify (- 0) into 0 5.839 * [backup-simplify]: Simplify (+ 0 0) into 0 5.839 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 5.841 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.841 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.841 * [backup-simplify]: Simplify -1/24 into -1/24 5.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.842 * [backup-simplify]: Simplify (- 0) into 0 5.842 * [backup-simplify]: Simplify (+ 0 0) into 0 5.843 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 5.845 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.845 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.845 * [backup-simplify]: Simplify 1/720 into 1/720 5.846 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 5.846 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.846 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.846 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.846 * [taylor]: Taking taylor expansion of 1.0 in x 5.846 * [backup-simplify]: Simplify 1.0 into 1.0 5.846 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.846 * [taylor]: Taking taylor expansion of x in x 5.846 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [backup-simplify]: Simplify (/ 1 1) into 1 5.846 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.846 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.846 * [taylor]: Taking taylor expansion of 1.0 in x 5.846 * [backup-simplify]: Simplify 1.0 into 1.0 5.846 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.846 * [taylor]: Taking taylor expansion of x in x 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify 1 into 1 5.847 * [backup-simplify]: Simplify (/ 1 1) into 1 5.847 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.847 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.847 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.847 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.847 * [backup-simplify]: Simplify (- 0) into 0 5.847 * [backup-simplify]: Simplify (+ 0 0) into 0 5.847 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify (- 0) into 0 5.848 * [backup-simplify]: Simplify (+ 0 0) into 0 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify (- 0) into 0 5.848 * [backup-simplify]: Simplify (+ 0 0) into 0 5.848 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify (- 0) into 0 5.849 * [backup-simplify]: Simplify (+ 0 0) into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify (- 0) into 0 5.849 * [backup-simplify]: Simplify (+ 0 0) into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify (- 0) into 0 5.850 * [backup-simplify]: Simplify (+ 0 0) into 0 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 5.850 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 5.850 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.850 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.850 * [taylor]: Taking taylor expansion of 1.0 in x 5.850 * [backup-simplify]: Simplify 1.0 into 1.0 5.850 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.850 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.850 * [taylor]: Taking taylor expansion of -1 in x 5.850 * [backup-simplify]: Simplify -1 into -1 5.850 * [taylor]: Taking taylor expansion of x in x 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 1 into 1 5.850 * [backup-simplify]: Simplify (/ -1 1) into -1 5.850 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.850 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.850 * [taylor]: Taking taylor expansion of 1.0 in x 5.850 * [backup-simplify]: Simplify 1.0 into 1.0 5.850 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.850 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.850 * [taylor]: Taking taylor expansion of -1 in x 5.851 * [backup-simplify]: Simplify -1 into -1 5.851 * [taylor]: Taking taylor expansion of x in x 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify 1 into 1 5.851 * [backup-simplify]: Simplify (/ -1 1) into -1 5.851 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.851 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.851 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.851 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.851 * [backup-simplify]: Simplify (- 0) into 0 5.852 * [backup-simplify]: Simplify (+ 0 0) into 0 5.852 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify (- 0) into 0 5.852 * [backup-simplify]: Simplify (+ 0 0) into 0 5.852 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify (- 0) into 0 5.852 * [backup-simplify]: Simplify (+ 0 0) into 0 5.852 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify (- 0) into 0 5.853 * [backup-simplify]: Simplify (+ 0 0) into 0 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify (- 0) into 0 5.853 * [backup-simplify]: Simplify (+ 0 0) into 0 5.853 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify (- 0) into 0 5.854 * [backup-simplify]: Simplify (+ 0 0) into 0 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 5.854 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.854 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x)) into (/ (- 1.0 (cos x)) x) 5.854 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 5.854 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 5.854 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.854 * [taylor]: Taking taylor expansion of 1.0 in x 5.854 * [backup-simplify]: Simplify 1.0 into 1.0 5.854 * [taylor]: Taking taylor expansion of (cos x) in x 5.854 * [taylor]: Taking taylor expansion of x in x 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 1 into 1 5.854 * [taylor]: Taking taylor expansion of x in x 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 1 into 1 5.855 * [backup-simplify]: Simplify (- 1) into -1 5.855 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.855 * [backup-simplify]: Simplify (+ 0) into 0 5.855 * [backup-simplify]: Simplify (- 0) into 0 5.856 * [backup-simplify]: Simplify (+ 0 0) into 0 5.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.856 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.857 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.857 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.857 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 5.857 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.857 * [taylor]: Taking taylor expansion of 1.0 in x 5.857 * [backup-simplify]: Simplify 1.0 into 1.0 5.857 * [taylor]: Taking taylor expansion of (cos x) in x 5.857 * [taylor]: Taking taylor expansion of x in x 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 1 into 1 5.857 * [taylor]: Taking taylor expansion of x in x 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 1 into 1 5.857 * [backup-simplify]: Simplify (- 1) into -1 5.858 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.858 * [backup-simplify]: Simplify (+ 0) into 0 5.858 * [backup-simplify]: Simplify (- 0) into 0 5.858 * [backup-simplify]: Simplify (+ 0 0) into 0 5.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.859 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.859 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.859 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.859 * [backup-simplify]: Simplify 1/2 into 1/2 5.860 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.860 * [backup-simplify]: Simplify (- 0) into 0 5.861 * [backup-simplify]: Simplify (+ 0 0) into 0 5.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.861 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 5.863 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.863 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.863 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.864 * [backup-simplify]: Simplify -1/24 into -1/24 5.865 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.865 * [backup-simplify]: Simplify (- 0) into 0 5.865 * [backup-simplify]: Simplify (+ 0 0) into 0 5.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.866 * [backup-simplify]: Simplify 0 into 0 5.868 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 5.868 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.869 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.869 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.870 * [backup-simplify]: Simplify 1/720 into 1/720 5.870 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 5.870 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 x)))) (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x))) into (* x (- 1.0 (cos (/ 1 x)))) 5.870 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 5.870 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 5.870 * [taylor]: Taking taylor expansion of x in x 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.870 * [taylor]: Taking taylor expansion of 1.0 in x 5.870 * [backup-simplify]: Simplify 1.0 into 1.0 5.870 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.870 * [taylor]: Taking taylor expansion of x in x 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.871 * [backup-simplify]: Simplify (/ 1 1) into 1 5.871 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.871 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 5.871 * [taylor]: Taking taylor expansion of x in x 5.871 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify 1 into 1 5.871 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.871 * [taylor]: Taking taylor expansion of 1.0 in x 5.871 * [backup-simplify]: Simplify 1.0 into 1.0 5.871 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.871 * [taylor]: Taking taylor expansion of x in x 5.871 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify 1 into 1 5.871 * [backup-simplify]: Simplify (/ 1 1) into 1 5.871 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.871 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.871 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.871 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 5.871 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify (- 0) into 0 5.872 * [backup-simplify]: Simplify (+ 0 0) into 0 5.872 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 5.872 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.872 * [backup-simplify]: Simplify (- 0) into 0 5.873 * [backup-simplify]: Simplify (+ 0 0) into 0 5.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify (- 0) into 0 5.874 * [backup-simplify]: Simplify (+ 0 0) into 0 5.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 5.874 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify (- 0) into 0 5.875 * [backup-simplify]: Simplify (+ 0 0) into 0 5.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify (- 0) into 0 5.876 * [backup-simplify]: Simplify (+ 0 0) into 0 5.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 5.877 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify (- 0) into 0 5.878 * [backup-simplify]: Simplify (+ 0 0) into 0 5.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 5.879 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify (- 0) into 0 5.880 * [backup-simplify]: Simplify (+ 0 0) into 0 5.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))))) into 0 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 5.882 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x)))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 5.882 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 5.882 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 5.882 * [taylor]: Taking taylor expansion of -1 in x 5.882 * [backup-simplify]: Simplify -1 into -1 5.882 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 5.882 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.882 * [taylor]: Taking taylor expansion of 1.0 in x 5.882 * [backup-simplify]: Simplify 1.0 into 1.0 5.882 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.882 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.882 * [taylor]: Taking taylor expansion of -1 in x 5.882 * [backup-simplify]: Simplify -1 into -1 5.882 * [taylor]: Taking taylor expansion of x in x 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 1 into 1 5.882 * [backup-simplify]: Simplify (/ -1 1) into -1 5.882 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.882 * [taylor]: Taking taylor expansion of x in x 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 1 into 1 5.882 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 5.882 * [taylor]: Taking taylor expansion of -1 in x 5.882 * [backup-simplify]: Simplify -1 into -1 5.882 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 5.882 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.882 * [taylor]: Taking taylor expansion of 1.0 in x 5.882 * [backup-simplify]: Simplify 1.0 into 1.0 5.882 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.882 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.882 * [taylor]: Taking taylor expansion of -1 in x 5.882 * [backup-simplify]: Simplify -1 into -1 5.882 * [taylor]: Taking taylor expansion of x in x 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 1 into 1 5.883 * [backup-simplify]: Simplify (/ -1 1) into -1 5.883 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.883 * [taylor]: Taking taylor expansion of x in x 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.883 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.883 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 5.883 * [backup-simplify]: Simplify (* -1 0) into 0 5.883 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify (- 0) into 0 5.884 * [backup-simplify]: Simplify (+ 0 0) into 0 5.884 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 5.884 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 5.884 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 5.885 * [backup-simplify]: Simplify (- 0) into 0 5.885 * [backup-simplify]: Simplify (+ 0 0) into 0 5.885 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 5.886 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify (- 0) into 0 5.886 * [backup-simplify]: Simplify (+ 0 0) into 0 5.887 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.887 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify (- 0) into 0 5.888 * [backup-simplify]: Simplify (+ 0 0) into 0 5.888 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.889 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 5.889 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify (- 0) into 0 5.890 * [backup-simplify]: Simplify (+ 0 0) into 0 5.890 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 5.892 * [backup-simplify]: Simplify 0 into 0 5.892 * [backup-simplify]: Simplify (- 0) into 0 5.892 * [backup-simplify]: Simplify (+ 0 0) into 0 5.893 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.894 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify (- 0) into 0 5.894 * [backup-simplify]: Simplify (+ 0 0) into 0 5.895 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.897 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))))) into 0 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 5.897 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.897 * [backup-simplify]: Simplify (* (/ 1 x) (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) into (/ (- 1.0 (cos x)) (pow x 2)) 5.897 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 5.897 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 5.897 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.897 * [taylor]: Taking taylor expansion of 1.0 in x 5.897 * [backup-simplify]: Simplify 1.0 into 1.0 5.897 * [taylor]: Taking taylor expansion of (cos x) in x 5.897 * [taylor]: Taking taylor expansion of x in x 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify 1 into 1 5.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.897 * [taylor]: Taking taylor expansion of x in x 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify 1 into 1 5.898 * [backup-simplify]: Simplify (- 1) into -1 5.898 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.898 * [backup-simplify]: Simplify (+ 0) into 0 5.898 * [backup-simplify]: Simplify (- 0) into 0 5.898 * [backup-simplify]: Simplify (+ 0 0) into 0 5.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.899 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.900 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.900 * [backup-simplify]: Simplify (* 1 1) into 1 5.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.900 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 5.900 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.900 * [taylor]: Taking taylor expansion of 1.0 in x 5.900 * [backup-simplify]: Simplify 1.0 into 1.0 5.900 * [taylor]: Taking taylor expansion of (cos x) in x 5.900 * [taylor]: Taking taylor expansion of x in x 5.900 * [backup-simplify]: Simplify 0 into 0 5.900 * [backup-simplify]: Simplify 1 into 1 5.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.900 * [taylor]: Taking taylor expansion of x in x 5.900 * [backup-simplify]: Simplify 0 into 0 5.900 * [backup-simplify]: Simplify 1 into 1 5.901 * [backup-simplify]: Simplify (- 1) into -1 5.901 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.901 * [backup-simplify]: Simplify (+ 0) into 0 5.901 * [backup-simplify]: Simplify (- 0) into 0 5.901 * [backup-simplify]: Simplify (+ 0 0) into 0 5.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.902 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.902 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.907 * [backup-simplify]: Simplify (* 1 1) into 1 5.908 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.908 * [backup-simplify]: Simplify 1/2 into 1/2 5.909 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.909 * [backup-simplify]: Simplify (- 0) into 0 5.909 * [backup-simplify]: Simplify (+ 0 0) into 0 5.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.910 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 5.912 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.912 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.913 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.913 * [backup-simplify]: Simplify -1/24 into -1/24 5.914 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.914 * [backup-simplify]: Simplify (- 0) into 0 5.915 * [backup-simplify]: Simplify (+ 0 0) into 0 5.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.916 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 5.919 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.919 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.920 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.920 * [backup-simplify]: Simplify 1/720 into 1/720 5.921 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 5.921 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (* (sqrt (- 1.0 (cos (/ 1 x)))) (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 5.921 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 5.921 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 5.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.921 * [taylor]: Taking taylor expansion of x in x 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify 1 into 1 5.921 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.921 * [taylor]: Taking taylor expansion of 1.0 in x 5.921 * [backup-simplify]: Simplify 1.0 into 1.0 5.921 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.921 * [taylor]: Taking taylor expansion of x in x 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify 1 into 1 5.921 * [backup-simplify]: Simplify (/ 1 1) into 1 5.921 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.921 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 5.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.921 * [taylor]: Taking taylor expansion of x in x 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify 1 into 1 5.922 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.922 * [taylor]: Taking taylor expansion of 1.0 in x 5.922 * [backup-simplify]: Simplify 1.0 into 1.0 5.922 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.922 * [taylor]: Taking taylor expansion of x in x 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 1 into 1 5.922 * [backup-simplify]: Simplify (/ 1 1) into 1 5.922 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.922 * [backup-simplify]: Simplify (* 1 1) into 1 5.922 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.922 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.922 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.922 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.923 * [backup-simplify]: Simplify (- 0) into 0 5.923 * [backup-simplify]: Simplify (+ 0 0) into 0 5.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 5.924 * [backup-simplify]: Simplify 0 into 0 5.924 * [backup-simplify]: Simplify (- 0) into 0 5.924 * [backup-simplify]: Simplify (+ 0 0) into 0 5.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 5.925 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify (- 0) into 0 5.925 * [backup-simplify]: Simplify (+ 0 0) into 0 5.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify (- 0) into 0 5.927 * [backup-simplify]: Simplify (+ 0 0) into 0 5.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 5.929 * [backup-simplify]: Simplify 0 into 0 5.929 * [backup-simplify]: Simplify (- 0) into 0 5.929 * [backup-simplify]: Simplify (+ 0 0) into 0 5.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify (- 0) into 0 5.932 * [backup-simplify]: Simplify (+ 0 0) into 0 5.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 5.934 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (* (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 5.934 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 5.934 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 5.934 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.934 * [taylor]: Taking taylor expansion of 1.0 in x 5.934 * [backup-simplify]: Simplify 1.0 into 1.0 5.934 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.934 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.934 * [taylor]: Taking taylor expansion of -1 in x 5.934 * [backup-simplify]: Simplify -1 into -1 5.934 * [taylor]: Taking taylor expansion of x in x 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.935 * [backup-simplify]: Simplify (/ -1 1) into -1 5.935 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.935 * [taylor]: Taking taylor expansion of x in x 5.935 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify 1 into 1 5.935 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 5.935 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.935 * [taylor]: Taking taylor expansion of 1.0 in x 5.935 * [backup-simplify]: Simplify 1.0 into 1.0 5.935 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.935 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.935 * [taylor]: Taking taylor expansion of -1 in x 5.935 * [backup-simplify]: Simplify -1 into -1 5.935 * [taylor]: Taking taylor expansion of x in x 5.935 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify 1 into 1 5.935 * [backup-simplify]: Simplify (/ -1 1) into -1 5.935 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.935 * [taylor]: Taking taylor expansion of x in x 5.935 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify 1 into 1 5.935 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.935 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.936 * [backup-simplify]: Simplify (* 1 1) into 1 5.936 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 5.936 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.936 * [backup-simplify]: Simplify (- 0) into 0 5.937 * [backup-simplify]: Simplify (+ 0 0) into 0 5.937 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.938 * [backup-simplify]: Simplify (- 0) into 0 5.938 * [backup-simplify]: Simplify (+ 0 0) into 0 5.938 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 5.938 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.939 * [backup-simplify]: Simplify (- 0) into 0 5.940 * [backup-simplify]: Simplify (+ 0 0) into 0 5.940 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.940 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.941 * [backup-simplify]: Simplify (- 0) into 0 5.941 * [backup-simplify]: Simplify (+ 0 0) into 0 5.942 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.943 * [backup-simplify]: Simplify (- 0) into 0 5.943 * [backup-simplify]: Simplify (+ 0 0) into 0 5.943 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.944 * [backup-simplify]: Simplify 0 into 0 5.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.945 * [backup-simplify]: Simplify (- 0) into 0 5.945 * [backup-simplify]: Simplify (+ 0 0) into 0 5.945 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 5.946 * * * [progress]: simplifying candidates 5.948 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x)) (+ (log (sqrt (- 1.0 (cos x)))) (- (log (sqrt (- 1.0 (cos x)))) (log x))) (+ (log (sqrt (- 1.0 (cos x)))) (log (/ (sqrt (- 1.0 (cos x))) x))) (log (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (exp (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (* (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x))) (* (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x))) (* (cbrt (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x)))) (cbrt (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (* (* (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x)) (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (sqrt (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (sqrt (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- 1.0 (cos x)))) (* (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) x) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- 1.0 (cos x)))) (* (sqrt (+ 1.0 (cos x))) x) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (- 1.0 (cos x))) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (- 1.0 (cos x))) (/ (* (cbrt (sqrt (- 1.0 (cos 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(sqrt (- 1.0 (cos x))) x))) (* (/ 1 x) (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (* (/ 1 x) (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (* (/ 1 x) (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (* (/ 1 x) (* (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- 1.0 (cos x))))) (* (/ 1 x) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- 1.0 (cos x))))) (* (/ 1 x) (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))))) (* (/ 1 x) (* (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (/ (sqrt (- 1.0 (cos x))) x))) (* (/ 1 x) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ (sqrt (- 1.0 (cos x))) x))) (* 1 (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 5.952 * * [simplify]: Extracting # 0 : cost 0 5.952 * * [simplify]: Extracting # 1 : cost 0 5.952 * * [simplify]: Extracting # 2 : cost 0 5.952 * * [simplify]: Extracting # 3 : cost 0 5.952 * * [simplify]: Extracting # 4 : cost 0 5.953 * * [simplify]: Extracting # 5 : cost 0 5.953 * * [simplify]: Extracting # 6 : cost 0 5.953 * * [simplify]: Extracting # 7 : cost 0 5.954 * * [simplify]: Extracting # 8 : cost 0 5.954 * * [simplify]: iteration 0 : 229 enodes (cost 2703 ) 6.025 * * [simplify]: Extracting # 0 : cost 0 6.025 * * [simplify]: Extracting # 1 : cost 0 6.026 * * [simplify]: Extracting # 2 : cost 0 6.026 * * [simplify]: Extracting # 3 : cost 0 6.027 * * [simplify]: Extracting # 4 : cost 0 6.027 * * [simplify]: iteration 1 : 555 enodes (cost 1942 ) 6.261 * * [simplify]: Extracting # 0 : cost 0 6.263 * * [simplify]: Extracting # 1 : cost 0 6.265 * * [simplify]: Extracting # 2 : cost 0 6.267 * * [simplify]: Extracting # 3 : cost 0 6.272 * * [simplify]: Extracting # 4 : cost 0 6.274 * * [simplify]: iteration 2 : 1866 enodes (cost 1658 ) 7.256 * * [simplify]: Extracting # 0 : cost 0 7.262 * * [simplify]: Extracting # 1 : cost 0 7.268 * * [simplify]: Extracting # 2 : cost 0 7.273 * * [simplify]: Extracting # 3 : cost 0 7.278 * * [simplify]: Extracting # 4 : cost 0 7.283 * * [simplify]: iteration done: 5000 enodes (cost 1626 ) 7.284 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt 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(- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 7.285 * * * [progress]: adding candidates to table 7.571 * [progress]: [Phase 3 of 3] Extracting. 7.571 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 7.573 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 7.573 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # # # # # #) 7.624 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# #) 7.639 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # #) 7.697 * * * [regime]: Found split indices: #