13.488 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.058 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.058 * [simplify]: Sending expressions to egg_math: (/ (- h1 (cos h0)) (* h0 h0)) 0.059 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.060 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.062 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.063 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.064 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.090 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.097 * * * [progress]: generating series expansions 0.097 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.097 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.097 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.097 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [backup-simplify]: Simplify 1.0 into 1.0 0.097 * [taylor]: Taking taylor expansion of (cos x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (- 1) into -1 0.098 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.099 * [backup-simplify]: Simplify (+ 0) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.101 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.101 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.101 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [backup-simplify]: Simplify 1.0 into 1.0 0.101 * [taylor]: Taking taylor expansion of (cos x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (- 1) into -1 0.102 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.102 * [backup-simplify]: Simplify (+ 0) into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.103 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.104 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.104 * [backup-simplify]: Simplify 1/2 into 1/2 0.105 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.108 * [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 0.108 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.108 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.109 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.109 * [backup-simplify]: Simplify -1/24 into -1/24 0.111 * [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 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.115 * [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 0.115 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.115 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.117 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.117 * [backup-simplify]: Simplify 1/720 into 1/720 0.117 * [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))) 0.117 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.117 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.117 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [backup-simplify]: Simplify 1.0 into 1.0 0.117 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.118 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [backup-simplify]: Simplify 1.0 into 1.0 0.118 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.119 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.119 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.119 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 0) (* 0 1))))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.135 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.135 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.135 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [backup-simplify]: Simplify 1.0 into 1.0 0.135 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.135 * [taylor]: Taking taylor expansion of -1 in x 0.135 * [backup-simplify]: Simplify -1 into -1 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ -1 1) into -1 0.136 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 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 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ -1 1) into -1 0.136 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.136 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.137 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 0) (* 0 1))) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [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 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [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 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 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 (+ (* 1 0) (+ (* 0 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 (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.147 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.147 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.147 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [taylor]: Taking taylor expansion of (cos x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [taylor]: Taking taylor expansion of (cos x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (- 1) into -1 0.147 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ 0) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.149 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.149 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.149 * [backup-simplify]: Simplify 1/2 into 1/2 0.150 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.152 * [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 0.152 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.152 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.152 * [backup-simplify]: Simplify -1/24 into -1/24 0.153 * [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 0.154 * [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 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 0.157 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.157 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.157 * [backup-simplify]: Simplify 1/720 into 1/720 0.157 * [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))) 0.157 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.157 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [backup-simplify]: Simplify 1.0 into 1.0 0.157 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.158 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [backup-simplify]: Simplify 1.0 into 1.0 0.158 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.158 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.158 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.158 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 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 0.162 * [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 -1 in x 0.162 * [backup-simplify]: Simplify -1 into -1 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 * [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 -1 in x 0.162 * [backup-simplify]: Simplify -1 into -1 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))) 0.163 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.163 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 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 (- 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)) 0.166 * * * [progress]: simplifying candidates 0.166 * [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)) 0.166 * [simplify]: Sending expressions to egg_math: (- (log (- h1 (cos h0))) (+ (log h0) (log h0))) (- (log (- h1 (cos h0))) (log (* h0 h0))) (log (/ (- h1 (cos h0)) (* h0 h0))) (exp (/ (- h1 (cos h0)) (* h0 h0))) (/ (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (* (* (* h0 h0) h0) (* (* h0 h0) h0))) (/ (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (* (* (* h0 h0) (* h0 h0)) (* h0 h0))) (* (cbrt (/ (- h1 (cos h0)) (* h0 h0))) (cbrt (/ (- h1 (cos h0)) (* h0 h0)))) (cbrt (/ (- h1 (cos h0)) (* h0 h0))) (* (* (/ (- h1 (cos h0)) (* h0 h0)) (/ (- h1 (cos h0)) (* h0 h0))) (/ (- h1 (cos h0)) (* h0 h0))) (sqrt (/ (- h1 (cos h0)) (* h0 h0))) (sqrt (/ (- h1 (cos h0)) (* h0 h0))) (- (- h1 (cos h0))) (- (* h0 h0)) (/ h1 (* h0 h0)) (/ (cos h0) (* h0 h0)) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) h0) (/ (cbrt (- h1 (cos h0))) h0) (/ (sqrt (- h1 (cos h0))) h0) (/ (sqrt (- h1 (cos h0))) h0) (/ 1 h0) (/ (- h1 (cos h0)) h0) (/ (+ (sqrt h1) (sqrt (cos h0))) h0) (/ (- (sqrt h1) (sqrt (cos h0))) h0) (/ 1 h0) (/ (- h1 (cos h0)) h0) (/ 1 (* h0 h0)) (/ (* h0 h0) (- h1 (cos h0))) (/ (- h1 (cos h0)) h0) (/ (* h0 h0) (cbrt (- h1 (cos h0)))) (/ (* h0 h0) (sqrt (- h1 (cos h0)))) (/ (* h0 h0) (- h1 (cos h0))) (/ (* h0 h0) (- (sqrt h1) (sqrt (cos h0)))) (/ (* h0 h0) (- h1 (cos h0))) (* (* h0 h0) (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0))))) (* (* h0 h0) (+ h1 (cos h0))) (/ (exp h1) (exp (cos h0))) (log (- h1 (cos h0))) (exp (- h1 (cos h0))) (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (cbrt (- h1 (cos h0))) (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (- (pow h1 3) (pow (cos h0) 3)) (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (- (cos h0)) (- (* h1 h1) (* (cos h0) (cos h0))) (+ h1 (cos h0)) (+ (sqrt h1) (sqrt (cos h0))) (- (sqrt h1) (sqrt (cos h0))) (- h1 (cos h0)) (- (cos h0)) (- (+ (* 1/720 (pow h0 4)) 1/2) (* 1/24 (pow h0 2))) (/ (- h1 (cos h0)) (pow h0 2)) (/ (- h1 (cos h0)) (pow h0 2)) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) 0.169 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.173 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.184 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.224 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.226 * * * [progress]: adding candidates to table 0.319 * * [progress]: iteration 2 / 4 0.319 * * * [progress]: picking best candidate 0.333 * * * * [pick]: Picked # 0.333 * * * [progress]: localizing error 0.341 * * * [progress]: generating rewritten candidates 0.341 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.346 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.352 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.367 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.388 * * * [progress]: generating series expansions 0.388 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.389 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.389 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [taylor]: Taking taylor expansion of (cos x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [taylor]: Taking taylor expansion of (cos x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (- 1) into -1 0.390 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ 0) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.391 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.391 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.391 * [backup-simplify]: Simplify 1/2 into 1/2 0.392 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.394 * [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 0.394 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.395 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.395 * [backup-simplify]: Simplify -1/24 into -1/24 0.396 * [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 0.396 * [backup-simplify]: Simplify (- 0) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.399 * [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 0.399 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.399 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.399 * [backup-simplify]: Simplify 1/720 into 1/720 0.400 * [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))) 0.400 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.400 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.401 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.401 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.401 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.401 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.404 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.404 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [backup-simplify]: Simplify 1.0 into 1.0 0.404 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.404 * [taylor]: Taking taylor expansion of -1 in x 0.404 * [backup-simplify]: Simplify -1 into -1 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ -1 1) into -1 0.404 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [backup-simplify]: Simplify 1.0 into 1.0 0.404 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.404 * [taylor]: Taking taylor expansion of -1 in x 0.405 * [backup-simplify]: Simplify -1 into -1 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (/ -1 1) into -1 0.405 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.405 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.405 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.405 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.408 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.408 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.408 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [backup-simplify]: Simplify 1.0 into 1.0 0.408 * [taylor]: Taking taylor expansion of (cos x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [backup-simplify]: Simplify 1.0 into 1.0 0.408 * [taylor]: Taking taylor expansion of (cos x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (- 1) into -1 0.409 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ 0) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.410 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.411 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.411 * [backup-simplify]: Simplify 1/2 into 1/2 0.411 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [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 0.413 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.414 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.414 * [backup-simplify]: Simplify -1/24 into -1/24 0.415 * [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 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.418 * [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 0.418 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.418 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.418 * [backup-simplify]: Simplify 1/720 into 1/720 0.419 * [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))) 0.419 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.419 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.419 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [backup-simplify]: Simplify 1.0 into 1.0 0.419 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.419 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [backup-simplify]: Simplify 1.0 into 1.0 0.419 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.420 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.420 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.420 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.423 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.423 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [backup-simplify]: Simplify 1.0 into 1.0 0.423 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [backup-simplify]: Simplify -1 into -1 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ -1 1) into -1 0.423 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.423 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [backup-simplify]: Simplify 1.0 into 1.0 0.423 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [backup-simplify]: Simplify -1 into -1 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ -1 1) into -1 0.424 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.424 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.424 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.424 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.427 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.427 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos x))) x) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.427 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.427 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [backup-simplify]: Simplify 1.0 into 1.0 0.427 * [taylor]: Taking taylor expansion of (cos x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (- 1) into -1 0.428 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.428 * [backup-simplify]: Simplify (+ 0) into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.429 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.429 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.430 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.430 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.432 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.432 * [taylor]: Taking taylor expansion of 1.0 in x 0.432 * [backup-simplify]: Simplify 1.0 into 1.0 0.432 * [taylor]: Taking taylor expansion of (cos x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (- 1) into -1 0.432 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.432 * [backup-simplify]: Simplify (+ 0) into 0 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.434 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.434 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.434 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.435 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (* (sqrt 1/2) 1) into (sqrt 1/2) 0.437 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [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 0.440 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.440 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.442 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 0.445 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/48 (sqrt 1/2)) 1))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 0.446 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [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 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 0.450 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (* 0 1)))) into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [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 0.453 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.453 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.462 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 0.474 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 0.477 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 0.482 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 0.483 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (cos (/ 1 x))))) 0.483 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.483 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [backup-simplify]: Simplify 1.0 into 1.0 0.483 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.483 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.483 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.483 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.484 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.484 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [backup-simplify]: Simplify 1.0 into 1.0 0.484 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.484 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.484 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.485 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.485 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ 1 x))))) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ 1 x)))))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.486 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (- 0) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.498 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) 0.498 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [backup-simplify]: Simplify -1 into -1 0.498 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.498 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [backup-simplify]: Simplify 1.0 into 1.0 0.499 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [backup-simplify]: Simplify -1 into -1 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (/ -1 1) into -1 0.499 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.499 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.499 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.499 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.500 * [taylor]: Taking taylor expansion of -1 in x 0.500 * [backup-simplify]: Simplify -1 into -1 0.500 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [backup-simplify]: Simplify 1.0 into 1.0 0.500 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.500 * [taylor]: Taking taylor expansion of -1 in x 0.500 * [backup-simplify]: Simplify -1 into -1 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (/ -1 1) into -1 0.500 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.500 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.500 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.500 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) into 0 0.501 * [backup-simplify]: Simplify (* -1 0) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ -1 x)))) 0.502 * [backup-simplify]: Simplify (+ (* -1 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 0.502 * [backup-simplify]: Simplify (- (sqrt (- 1.0 (cos (/ -1 x))))) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.504 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 0.504 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.506 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.508 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.509 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.511 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (- 0) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.514 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.515 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))))) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.517 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))))) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (* (- (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x))))))) (/ 1 (- x))) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.519 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.519 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos x))) x) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.519 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.519 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [backup-simplify]: Simplify 1.0 into 1.0 0.519 * [taylor]: Taking taylor expansion of (cos x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (- 1) into -1 0.519 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.520 * [backup-simplify]: Simplify (+ 0) into 0 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.521 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.521 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.521 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.522 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.523 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.523 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [backup-simplify]: Simplify 1.0 into 1.0 0.523 * [taylor]: Taking taylor expansion of (cos x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (- 1) into -1 0.524 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.524 * [backup-simplify]: Simplify (+ 0) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.525 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.525 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.526 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.526 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.527 * [backup-simplify]: Simplify (- 0) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [backup-simplify]: Simplify (* (sqrt 1/2) 1) into (sqrt 1/2) 0.528 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [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 0.532 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.532 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.533 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 0.536 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/48 (sqrt 1/2)) 1))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 0.538 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [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 0.540 * [backup-simplify]: Simplify (- 0) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 0.542 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (* 0 1)))) into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [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 0.545 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.545 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.554 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 0.567 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 0.570 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 0.576 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 0.576 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (cos (/ 1 x))))) 0.576 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.576 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.576 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.576 * [taylor]: Taking taylor expansion of 1.0 in x 0.576 * [backup-simplify]: Simplify 1.0 into 1.0 0.576 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.576 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.576 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.576 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.577 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.577 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.577 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [backup-simplify]: Simplify 1.0 into 1.0 0.577 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.578 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.578 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.578 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.578 * [backup-simplify]: Simplify (- 0) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.579 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ 1 x))))) into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ 1 x)))))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.579 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.579 * [backup-simplify]: Simplify (- 0) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (- 0) into 0 0.581 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (- 0) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (- 0) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (- 0) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.592 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) 0.592 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.592 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [backup-simplify]: Simplify -1 into -1 0.592 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.592 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [backup-simplify]: Simplify 1.0 into 1.0 0.592 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [backup-simplify]: Simplify -1 into -1 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.593 * [backup-simplify]: Simplify (/ -1 1) into -1 0.593 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.593 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.593 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.593 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 0.593 * [backup-simplify]: Simplify (- 0) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.594 * [taylor]: Taking taylor expansion of -1 in x 0.594 * [backup-simplify]: Simplify -1 into -1 0.594 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.594 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.594 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.594 * [taylor]: Taking taylor expansion of 1.0 in x 0.594 * [backup-simplify]: Simplify 1.0 into 1.0 0.594 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.594 * [taylor]: Taking taylor expansion of -1 in x 0.594 * [backup-simplify]: Simplify -1 into -1 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (/ -1 1) into -1 0.594 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.594 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.594 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.594 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 0.594 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) into 0 0.595 * [backup-simplify]: Simplify (* -1 0) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ -1 x)))) 0.596 * [backup-simplify]: Simplify (+ (* -1 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 0.596 * [backup-simplify]: Simplify (- (sqrt (- 1.0 (cos (/ -1 x))))) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 0.596 * [backup-simplify]: Simplify (- 0) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.597 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 0.598 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))) into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (- 0) into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.599 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (- 0) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.602 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.603 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (- 0) into 0 0.603 * [backup-simplify]: Simplify (+ 0 0) into 0 0.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.604 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.606 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.607 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.609 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))))) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (- 0) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.610 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.612 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))))) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (* (- (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x))))))) (/ 1 (- x))) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.612 * * * [progress]: simplifying candidates 0.614 * [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)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos 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1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ 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1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 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1) (/ (sqrt (sqrt (- h1 (cos h0)))) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (sqrt (- h1 (cos h0))) (cbrt h0)) (/ 1 (sqrt h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0)) (/ 1 1) (/ (sqrt (- h1 (cos h0))) h0) (/ 1 h0) (/ h0 (sqrt (- h1 (cos h0)))) (/ (sqrt (- h1 (cos h0))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- h1 (cos h0))) (sqrt h0)) (/ (sqrt (- h1 (cos h0))) 1) (/ h0 (cbrt (sqrt (- h1 (cos h0))))) (/ h0 (sqrt (cbrt (- h1 (cos h0))))) (/ h0 (sqrt (sqrt (- h1 (cos h0))))) (/ h0 (sqrt (- h1 (cos h0)))) (/ h0 (sqrt (- (sqrt h1) (sqrt (cos h0))))) (/ h0 (sqrt (- h1 (cos h0)))) (/ h0 (sqrt (sqrt (- h1 (cos h0))))) (/ h0 (sqrt (- h1 (cos h0)))) (* h0 (sqrt (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))))) (* h0 (sqrt (+ h1 (cos h0)))) (- (log (sqrt (- h1 (cos h0)))) (log h0)) (log (/ (sqrt (- h1 (cos h0))) h0)) (exp (/ (sqrt (- h1 (cos h0))) h0)) (/ (* (* (sqrt (- h1 (cos h0))) (sqrt (- h1 (cos h0)))) (sqrt (- h1 (cos h0)))) (* (* h0 h0) h0)) (* (cbrt (/ (sqrt (- h1 (cos h0))) h0)) (cbrt (/ (sqrt (- h1 (cos h0))) h0))) (cbrt (/ (sqrt (- h1 (cos h0))) h0)) (* (* (/ (sqrt (- h1 (cos h0))) h0) (/ (sqrt (- h1 (cos h0))) h0)) (/ (sqrt (- h1 (cos h0))) h0)) (sqrt (/ (sqrt (- h1 (cos h0))) h0)) (sqrt (/ (sqrt (- h1 (cos h0))) h0)) (- (sqrt (- h1 (cos h0)))) (- h0) (/ (* (cbrt (sqrt (- h1 (cos h0)))) (cbrt (sqrt (- h1 (cos h0))))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (sqrt (- h1 (cos h0)))) (cbrt h0)) (/ (* (cbrt (sqrt (- h1 (cos h0)))) (cbrt (sqrt (- h1 (cos h0))))) (sqrt h0)) (/ (cbrt (sqrt (- h1 (cos h0)))) (sqrt h0)) (/ (* (cbrt (sqrt (- h1 (cos h0)))) (cbrt (sqrt (- h1 (cos h0))))) 1) (/ (cbrt (sqrt (- h1 (cos h0)))) h0) (/ (sqrt (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0))))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (cbrt (- h1 (cos h0)))) (cbrt h0)) (/ (sqrt (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0))))) (sqrt h0)) (/ (sqrt (cbrt (- h1 (cos h0)))) (sqrt h0)) (/ (sqrt (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0))))) 1) (/ (sqrt (cbrt (- h1 (cos h0)))) h0) (/ (sqrt (sqrt (- h1 (cos h0)))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (sqrt (- h1 (cos h0)))) (cbrt h0)) (/ (sqrt (sqrt (- h1 (cos h0)))) (sqrt h0)) (/ (sqrt (sqrt (- h1 (cos h0)))) (sqrt h0)) (/ (sqrt (sqrt (- h1 (cos h0)))) 1) (/ (sqrt (sqrt (- h1 (cos h0)))) h0) (/ (sqrt 1) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- h1 (cos h0))) (cbrt h0)) (/ (sqrt 1) (sqrt h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0)) (/ (sqrt 1) 1) (/ (sqrt (- h1 (cos h0))) h0) (/ (sqrt (+ (sqrt h1) (sqrt (cos h0)))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- (sqrt h1) (sqrt (cos h0)))) (cbrt h0)) (/ (sqrt (+ (sqrt h1) (sqrt (cos h0)))) (sqrt h0)) (/ (sqrt (- (sqrt h1) (sqrt (cos h0)))) (sqrt h0)) (/ (sqrt (+ (sqrt h1) (sqrt (cos h0)))) 1) (/ (sqrt (- (sqrt h1) (sqrt (cos h0)))) h0) (/ (sqrt 1) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- h1 (cos h0))) (cbrt h0)) (/ (sqrt 1) (sqrt h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0)) (/ (sqrt 1) 1) (/ (sqrt (- h1 (cos h0))) h0) (/ (sqrt (sqrt (- h1 (cos h0)))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (sqrt (- h1 (cos h0)))) (cbrt h0)) (/ (sqrt (sqrt (- h1 (cos h0)))) (sqrt h0)) (/ (sqrt (sqrt (- h1 (cos h0)))) (sqrt h0)) (/ (sqrt (sqrt (- h1 (cos h0)))) 1) (/ (sqrt (sqrt (- h1 (cos h0)))) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (sqrt (- h1 (cos h0))) (cbrt h0)) (/ 1 (sqrt h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0)) (/ 1 1) (/ (sqrt (- h1 (cos h0))) h0) (/ 1 h0) (/ h0 (sqrt (- h1 (cos h0)))) (/ (sqrt (- h1 (cos h0))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- h1 (cos h0))) (sqrt h0)) (/ (sqrt (- h1 (cos h0))) 1) (/ h0 (cbrt (sqrt (- h1 (cos h0))))) (/ h0 (sqrt (cbrt (- h1 (cos h0))))) (/ h0 (sqrt (sqrt (- h1 (cos h0))))) (/ h0 (sqrt (- h1 (cos h0)))) (/ h0 (sqrt (- (sqrt h1) (sqrt (cos h0))))) (/ h0 (sqrt (- h1 (cos h0)))) (/ h0 (sqrt (sqrt (- h1 (cos h0))))) (/ h0 (sqrt (- h1 (cos h0)))) (* h0 (sqrt (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))))) (* h0 (sqrt (+ h1 (cos h0)))) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) (- (+ (* 1/1440 (/ (pow h0 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow h0 2) (sqrt 1/2))) (* 1/4608 (/ (pow h0 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- h1 (cos h0))) (/ 1 h0)) (* (sqrt (- h1 (cos h0))) (/ 1 h0)) (- (+ (* 1/1440 (/ (pow h0 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow h0 2) (sqrt 1/2))) (* 1/4608 (/ (pow h0 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- h1 (cos h0))) (/ 1 h0)) (* (sqrt (- h1 (cos h0))) (/ 1 h0)) 0.620 * * [simplify]: iteration 0 : 242 enodes (cost 1020 ) 0.624 * * [simplify]: iteration 1 : 706 enodes (cost 972 ) 0.636 * * [simplify]: iteration 2 : 2968 enodes (cost 960 ) 0.705 * * [simplify]: iteration 3 : 5002 enodes (cost 960 ) 0.709 * * * [progress]: adding candidates to table 0.990 * * [progress]: iteration 3 / 4 0.990 * * * [progress]: picking best candidate 1.017 * * * * [pick]: Picked # 1.017 * * * [progress]: localizing error 1.040 * * * [progress]: generating rewritten candidates 1.040 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.045 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.068 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1 2) 1.080 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 1.089 * * * [progress]: generating series expansions 1.089 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.089 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.089 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.089 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [backup-simplify]: Simplify 1.0 into 1.0 1.089 * [taylor]: Taking taylor expansion of (cos x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [backup-simplify]: Simplify 1.0 into 1.0 1.089 * [taylor]: Taking taylor expansion of (cos x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (- 1) into -1 1.090 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify (+ 0) into 0 1.090 * [backup-simplify]: Simplify (- 0) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.091 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.092 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.092 * [backup-simplify]: Simplify 1/2 into 1/2 1.092 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.093 * [backup-simplify]: Simplify (- 0) into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.094 * [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 1.094 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.095 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.095 * [backup-simplify]: Simplify -1/24 into -1/24 1.096 * [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 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify 0 into 0 1.099 * [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 1.099 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.099 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.099 * [backup-simplify]: Simplify 1/720 into 1/720 1.100 * [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))) 1.100 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.100 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [backup-simplify]: Simplify 1.0 into 1.0 1.100 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (/ 1 1) into 1 1.100 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [backup-simplify]: Simplify 1.0 into 1.0 1.100 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.101 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.101 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.101 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.101 * [backup-simplify]: Simplify (- 0) into 0 1.101 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.102 * [backup-simplify]: Simplify (+ 0 0) into 0 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.102 * [backup-simplify]: Simplify (+ 0 0) into 0 1.102 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (- 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (- 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (- 0) into 0 1.104 * [backup-simplify]: Simplify (+ 0 0) into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.104 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.104 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.104 * [taylor]: Taking taylor expansion of 1.0 in x 1.104 * [backup-simplify]: Simplify 1.0 into 1.0 1.104 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.104 * [taylor]: Taking taylor expansion of -1 in x 1.104 * [backup-simplify]: Simplify -1 into -1 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (/ -1 1) into -1 1.104 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.104 * [taylor]: Taking taylor expansion of 1.0 in x 1.104 * [backup-simplify]: Simplify 1.0 into 1.0 1.104 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.104 * [taylor]: Taking taylor expansion of -1 in x 1.104 * [backup-simplify]: Simplify -1 into -1 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ -1 1) into -1 1.105 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.105 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.105 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.105 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.105 * [backup-simplify]: Simplify (- 0) into 0 1.105 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify (- 0) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify (- 0) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify (- 0) into 0 1.107 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify (- 0) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify (- 0) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.108 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.109 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos x) 3)) into (- 1.0 (pow (cos x) 3)) 1.109 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.109 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * [backup-simplify]: Simplify 1.0 into 1.0 1.109 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.109 * [taylor]: Taking taylor expansion of (cos x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * [backup-simplify]: Simplify 1.0 into 1.0 1.109 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.109 * [taylor]: Taking taylor expansion of (cos x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (* 1 1) into 1 1.109 * [backup-simplify]: Simplify (* 1 1) into 1 1.110 * [backup-simplify]: Simplify (- 1) into -1 1.110 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify (+ 0) into 0 1.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.111 * [backup-simplify]: Simplify (- 0) into 0 1.111 * [backup-simplify]: Simplify (+ 0 0) into 0 1.111 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.112 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.113 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.113 * [backup-simplify]: Simplify (- -3/2) into 3/2 1.113 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 1.113 * [backup-simplify]: Simplify 3/2 into 3/2 1.114 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (- 0) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.117 * [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 1.118 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.119 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.119 * [backup-simplify]: Simplify (- 7/8) into -7/8 1.120 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 1.120 * [backup-simplify]: Simplify -7/8 into -7/8 1.121 * [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 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 1.123 * [backup-simplify]: Simplify (- 0) into 0 1.123 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.126 * [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 1.127 * [backup-simplify]: Simplify (+ (* 1 -1/720) (+ (* 0 0) (+ (* -1/2 1/24) (+ (* 0 0) (+ (* 1/24 -1/2) (+ (* 0 0) (* -1/720 1))))))) into -2/45 1.128 * [backup-simplify]: Simplify (+ (* 1 -2/45) (+ (* 0 0) (+ (* -1/2 1/3) (+ (* 0 0) (+ (* 1/24 -1) (+ (* 0 0) (* -1/720 1))))))) into -61/240 1.129 * [backup-simplify]: Simplify (- -61/240) into 61/240 1.129 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 1.129 * [backup-simplify]: Simplify 61/240 into 61/240 1.129 * [backup-simplify]: Simplify (+ (* 61/240 (pow x 6)) (+ (* -7/8 (pow x 4)) (* 3/2 (pow x 2)))) into (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) 1.130 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.130 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.130 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [backup-simplify]: Simplify 1.0 into 1.0 1.130 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.130 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (/ 1 1) into 1 1.130 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.130 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [backup-simplify]: Simplify 1.0 into 1.0 1.130 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.130 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.131 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.131 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.131 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 1.131 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.131 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.131 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.132 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.132 * [backup-simplify]: Simplify (- 0) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.133 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.134 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.135 * [backup-simplify]: Simplify (- 0) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.136 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.137 * [backup-simplify]: Simplify (- 0) into 0 1.137 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.142 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))))) into 0 1.142 * [backup-simplify]: Simplify (- 0) into 0 1.142 * [backup-simplify]: Simplify (+ 0 0) into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 (/ 1 x))) 3)) into (- 1.0 (pow (cos x) 3)) 1.143 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos (/ 1 (- x))) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.143 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.143 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [backup-simplify]: Simplify 1.0 into 1.0 1.143 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.143 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.143 * [taylor]: Taking taylor expansion of -1 in x 1.143 * [backup-simplify]: Simplify -1 into -1 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (/ -1 1) into -1 1.143 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.143 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [backup-simplify]: Simplify 1.0 into 1.0 1.143 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.143 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.143 * [taylor]: Taking taylor expansion of -1 in x 1.143 * [backup-simplify]: Simplify -1 into -1 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (/ -1 1) into -1 1.144 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.144 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.144 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.144 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 1.144 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.144 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 x)) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.144 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.145 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.145 * [backup-simplify]: Simplify (- 0) into 0 1.145 * [backup-simplify]: Simplify (+ 0 0) into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.146 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.146 * [backup-simplify]: Simplify (- 0) into 0 1.146 * [backup-simplify]: Simplify (+ 0 0) into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.148 * [backup-simplify]: Simplify (- 0) into 0 1.148 * [backup-simplify]: Simplify (+ 0 0) into 0 1.148 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.150 * [backup-simplify]: Simplify (- 0) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.150 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.152 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.152 * [backup-simplify]: Simplify (- 0) into 0 1.152 * [backup-simplify]: Simplify (+ 0 0) into 0 1.152 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.154 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))))) into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 3)) into (- 1.0 (pow (cos x) 3)) 1.155 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1 2) 1.155 * [backup-simplify]: Simplify (+ (* (cos x) (cos x)) (* 1.0 (cos x))) into (+ (pow (cos x) 2) (* 1.0 (cos x))) 1.155 * [approximate]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in (x) around 0 1.155 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.155 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.155 * [taylor]: Taking taylor expansion of (cos x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [backup-simplify]: Simplify 1.0 into 1.0 1.155 * [taylor]: Taking taylor expansion of (cos x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.156 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.156 * [taylor]: Taking taylor expansion of (cos x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [backup-simplify]: Simplify 1.0 into 1.0 1.156 * [taylor]: Taking taylor expansion of (cos x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (* 1 1) into 1 1.156 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.156 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 1.157 * [backup-simplify]: Simplify 2.0 into 2.0 1.157 * [backup-simplify]: Simplify (+ 0) into 0 1.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.158 * [backup-simplify]: Simplify (+ 0) into 0 1.158 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.158 * [backup-simplify]: Simplify (+ 0 0) into 0 1.158 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.159 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.160 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.161 * [backup-simplify]: Simplify (+ (* 1.0 -1/2) (+ (* 0 0) (* 0 1))) into (- 0.5) 1.161 * [backup-simplify]: Simplify (+ -1 (- 0.5)) into (- 1.5) 1.162 * [backup-simplify]: Simplify (- 1.5) into (- 1.5) 1.162 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.164 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.164 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.166 * [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 1.167 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.168 * [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 1.174 * [backup-simplify]: Simplify (+ (* 1.0 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 0.041666666666666664 1.175 * [backup-simplify]: Simplify (+ 1/3 0.041666666666666664) into 0.375 1.175 * [backup-simplify]: Simplify 0.375 into 0.375 1.175 * [backup-simplify]: Simplify (+ (* 0.375 (pow x 4)) (+ (* (- 1.5) (pow x 2)) 2.0)) into (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) 1.175 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) (cos (/ 1 x))) (* 1.0 (cos (/ 1 x)))) into (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) 1.175 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in (x) around 0 1.175 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.175 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [backup-simplify]: Simplify 1.0 into 1.0 1.175 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify 1 into 1 1.176 * [backup-simplify]: Simplify (/ 1 1) into 1 1.176 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.176 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.176 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 1 into 1 1.176 * [backup-simplify]: Simplify (/ 1 1) into 1 1.176 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.176 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.176 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.176 * [taylor]: Taking taylor expansion of 1.0 in x 1.176 * [backup-simplify]: Simplify 1.0 into 1.0 1.176 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 1 into 1 1.176 * [backup-simplify]: Simplify (/ 1 1) into 1 1.177 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.177 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.177 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.177 * [backup-simplify]: Simplify (/ 1 1) into 1 1.177 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.177 * [backup-simplify]: Simplify (* 1.0 (cos (/ 1 x))) into (* 1.0 (cos (/ 1 x))) 1.177 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.177 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) into (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) 1.177 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) into (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) 1.178 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ 1 x)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.178 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.179 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.183 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.185 * [backup-simplify]: Simplify (+ 0 0) into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.187 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.187 * [backup-simplify]: Simplify (+ 0 0) into 0 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ 1 (/ 1 x)))) (pow (cos (/ 1 (/ 1 x))) 2)) into (+ (pow (cos x) 2) (* 1.0 (cos x))) 1.188 * [backup-simplify]: Simplify (+ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* 1.0 (cos (/ 1 (- x))))) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 1.188 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in (x) around 0 1.188 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.188 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.188 * [backup-simplify]: Simplify 1.0 into 1.0 1.188 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [backup-simplify]: Simplify -1 into -1 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify 1 into 1 1.188 * [backup-simplify]: Simplify (/ -1 1) into -1 1.188 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.188 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.188 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.189 * [backup-simplify]: Simplify -1 into -1 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (/ -1 1) into -1 1.189 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.189 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [backup-simplify]: Simplify 1.0 into 1.0 1.189 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.189 * [taylor]: Taking taylor expansion of -1 in x 1.189 * [backup-simplify]: Simplify -1 into -1 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (/ -1 1) into -1 1.189 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.189 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.189 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.189 * [taylor]: Taking taylor expansion of -1 in x 1.189 * [backup-simplify]: Simplify -1 into -1 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (/ -1 1) into -1 1.190 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.190 * [backup-simplify]: Simplify (* 1.0 (cos (/ -1 x))) into (* 1.0 (cos (/ -1 x))) 1.190 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.190 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) into (+ (pow (cos (/ -1 x)) 2) (* 1.0 (cos (/ -1 x)))) 1.190 * [backup-simplify]: Simplify (+ (pow (cos (/ -1 x)) 2) (* 1.0 (cos (/ -1 x)))) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 1.191 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ -1 x)))) into 0 1.191 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.193 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.193 * [backup-simplify]: Simplify (+ 0 0) into 0 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.197 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.198 * [backup-simplify]: Simplify (+ 0 0) into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.200 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (+ (pow (cos x) 2) (* 1.0 (cos x))) 1.201 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 1.201 * [backup-simplify]: Simplify (pow (cos x) 3) into (pow (cos x) 3) 1.201 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.201 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.201 * [taylor]: Taking taylor expansion of (cos x) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.201 * [taylor]: Taking taylor expansion of (cos x) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (* 1 1) into 1 1.201 * [backup-simplify]: Simplify (* 1 1) into 1 1.201 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify (+ 0) into 0 1.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.203 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.204 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.204 * [backup-simplify]: Simplify -3/2 into -3/2 1.205 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.206 * [backup-simplify]: Simplify 0 into 0 1.208 * [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 1.209 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.209 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.209 * [backup-simplify]: Simplify 7/8 into 7/8 1.210 * [backup-simplify]: Simplify (+ (* 7/8 (pow x 4)) (+ (* -3/2 (pow x 2)) 1)) into (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) 1.210 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 1.210 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.210 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.210 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify (/ 1 1) into 1 1.210 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.210 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.210 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (/ 1 1) into 1 1.211 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.211 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.211 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.211 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 1.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.211 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.212 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.213 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.217 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.217 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.219 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))))) into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 3) into (pow (cos x) 3) 1.219 * [backup-simplify]: Simplify (pow (cos (/ 1 (- x))) 3) into (pow (cos (/ -1 x)) 3) 1.219 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.219 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.219 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.219 * [taylor]: Taking taylor expansion of -1 in x 1.219 * [backup-simplify]: Simplify -1 into -1 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ -1 1) into -1 1.220 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.220 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.220 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.220 * [taylor]: Taking taylor expansion of -1 in x 1.220 * [backup-simplify]: Simplify -1 into -1 1.220 * [taylor]: Taking taylor expansion of x in x 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ -1 1) into -1 1.220 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.220 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.220 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.220 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 3) into (pow (cos (/ -1 x)) 3) 1.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.223 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.224 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.226 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.228 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))))) into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 3) into (pow (cos x) 3) 1.229 * * * [progress]: simplifying candidates 1.230 * [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 (pow 1.0 3)) (exp (pow (cos x) 3))) (log (- (pow 1.0 3) (pow (cos x) 3))) (exp (- (pow 1.0 3) (pow (cos x) 3))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (* (* (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3))) (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- 1.0 (cos x)) (- (pow (pow 1.0 3) 3) (pow (pow (cos x) 3) 3)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow (cos x) 3) (pow (cos x) 3)) (* (pow 1.0 3) (pow (cos x) 3)))) (- (pow (cos x) 3)) (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (cos x) 3) (pow (cos x) 3))) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (+ (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2))) (- (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2))) (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (+ (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3))) (- (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3))) (+ (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow (cos x) 3)) (* (exp (* (cos x) (cos x))) (exp (* 1.0 (cos x)))) (log (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (exp (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (* (+ (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (pow (* (cos x) (cos x)) 3) (pow (* 1.0 (cos x)) 3)) (+ (* (* (cos x) (cos x)) (* (cos x) (cos x))) (- (* (* 1.0 (cos x)) (* 1.0 (cos x))) (* (* (cos x) (cos x)) (* 1.0 (cos x))))) (- (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* 1.0 (cos x)) (* 1.0 (cos x)))) (- (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (cos x) 1.0) (+ (* 1/2 (cos (* 2 x))) (* 1.0 (cos x))) (* (log (cos x)) 3) (* (log (cos x)) 3) (* 1 3) (pow (cos x) (* (cbrt 3) (cbrt 3))) (pow (cos x) (sqrt 3)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow 1 3) (pow (cos x) 3) (* (cos x) (cos x)) (log (pow (cos x) 3)) (exp (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (cbrt (pow (cos x) 3)) (* (* (pow (cos x) 3) (pow (cos x) 3)) (pow (cos x) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow 1 3) (pow (cos x) 3) (* (cos x) (cos x)) (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3)) (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) (+ (pow (cos x) 2) (* 1.0 (cos x))) (+ (pow (cos x) 2) (* 1.0 (cos x))) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) 1.230 * [simplify]: Sending expressions to egg_math: (/ (exp h1) (exp (cos h0))) (log (- h1 (cos h0))) (exp (- h1 (cos h0))) (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (cbrt (- h1 (cos h0))) (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (- (pow h1 3) (pow (cos h0) 3)) (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (- (cos h0)) (- (* h1 h1) (* (cos h0) (cos h0))) (+ h1 (cos h0)) (+ (sqrt h1) (sqrt (cos h0))) (- (sqrt h1) (sqrt (cos h0))) (- h1 (cos h0)) (- (cos h0)) (/ (exp (pow h1 3)) (exp (pow (cos h0) 3))) (log (- (pow h1 3) (pow (cos h0) 3))) (exp (- (pow h1 3) (pow (cos h0) 3))) (* (cbrt (- (pow h1 3) (pow (cos h0) 3))) (cbrt (- (pow h1 3) (pow (cos h0) 3)))) (cbrt (- (pow h1 3) (pow (cos h0) 3))) (* (* (- (pow h1 3) (pow (cos h0) 3)) (- (pow h1 3) (pow (cos h0) 3))) (- (pow h1 3) (pow (cos h0) 3))) (sqrt (- (pow h1 3) (pow (cos h0) 3))) (sqrt (- (pow h1 3) (pow (cos h0) 3))) (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (- h1 (cos h0)) (- (pow (pow h1 3) 3) (pow (pow (cos h0) 3) 3)) (+ (* (pow h1 3) (pow h1 3)) (+ (* (pow (cos h0) 3) (pow (cos h0) 3)) (* (pow h1 3) (pow (cos h0) 3)))) (- (pow (cos h0) 3)) (- (* (pow h1 3) (pow h1 3)) (* (pow (cos h0) 3) (pow (cos h0) 3))) (+ (pow h1 3) (pow (cos h0) 3)) (+ (pow (sqrt h1) 3) (pow (sqrt (cos h0)) 3)) (- (pow (sqrt h1) 3) (pow (sqrt (cos h0)) 3)) (+ (pow (sqrt h1) 3) (pow (sqrt (cos h0)) 3)) (- (pow (sqrt h1) 3) (pow (sqrt (cos h0)) 3)) (+ (pow (sqrt h1) 3) (sqrt (pow (cos h0) 3))) (- (pow (sqrt h1) 3) (sqrt (pow (cos h0) 3))) (+ (pow (sqrt h1) 3) (pow (cos h0) (/ 3 2))) (- (pow (sqrt h1) 3) (pow (cos h0) (/ 3 2))) (+ (pow (sqrt h1) 3) (pow (sqrt (cos h0)) 3)) (- (pow (sqrt h1) 3) (pow (sqrt (cos h0)) 3)) (+ (pow (sqrt h1) 3) (pow (sqrt (cos h0)) 3)) (- (pow (sqrt h1) 3) (pow (sqrt (cos h0)) 3)) (+ (pow (sqrt h1) 3) (sqrt (pow (cos h0) 3))) (- (pow (sqrt h1) 3) (sqrt (pow (cos h0) 3))) (+ (pow (sqrt h1) 3) (pow (cos h0) (/ 3 2))) (- (pow (sqrt h1) 3) (pow (cos h0) (/ 3 2))) (+ (sqrt (pow h1 3)) (pow (sqrt (cos h0)) 3)) (- (sqrt (pow h1 3)) (pow (sqrt (cos h0)) 3)) (+ (sqrt (pow h1 3)) (pow (sqrt (cos h0)) 3)) (- (sqrt (pow h1 3)) (pow (sqrt (cos h0)) 3)) (+ (sqrt (pow h1 3)) (sqrt (pow (cos h0) 3))) (- (sqrt (pow h1 3)) (sqrt (pow (cos h0) 3))) (+ (sqrt (pow h1 3)) (pow (cos h0) (/ 3 2))) (- (sqrt (pow h1 3)) (pow (cos h0) (/ 3 2))) (+ (pow h1 (/ 3 2)) (pow (sqrt (cos h0)) 3)) (- (pow h1 (/ 3 2)) (pow (sqrt (cos h0)) 3)) (+ (pow h1 (/ 3 2)) (pow (sqrt (cos h0)) 3)) (- (pow h1 (/ 3 2)) (pow (sqrt (cos h0)) 3)) (+ (pow h1 (/ 3 2)) (sqrt (pow (cos h0) 3))) (- (pow h1 (/ 3 2)) (sqrt (pow (cos h0) 3))) (+ (pow h1 (/ 3 2)) (pow (cos h0) (/ 3 2))) (- (pow h1 (/ 3 2)) (pow (cos h0) (/ 3 2))) (- (pow h1 3) (pow (cos h0) 3)) (- (pow h1 3) (pow (cos h0) 3)) (- (pow h1 3) (pow (cos h0) 3)) (- (pow h1 3) (pow (cos h0) 3)) (- (pow h1 3) (pow (cos h0) 3)) (- (pow (cos h0) 3)) (* (exp (* (cos h0) (cos h0))) (exp (* h1 (cos h0)))) (log (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (exp (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (* (cbrt (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (cbrt (+ (* (cos h0) (cos h0)) (* h1 (cos h0))))) (cbrt (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (* (* (+ (* (cos h0) (cos h0)) (* h1 (cos h0))) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (sqrt (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (sqrt (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (+ (pow (* (cos h0) (cos h0)) 3) (pow (* h1 (cos h0)) 3)) (+ (* (* (cos h0) (cos h0)) (* (cos h0) (cos h0))) (- (* (* h1 (cos h0)) (* h1 (cos h0))) (* (* (cos h0) (cos h0)) (* h1 (cos h0))))) (- (* (* (cos h0) (cos h0)) (* (cos h0) (cos h0))) (* (* h1 (cos h0)) (* h1 (cos h0)))) (- (* (cos h0) (cos h0)) (* h1 (cos h0))) (+ (cos h0) h1) (+ (* 1/2 (cos (* 2 h0))) (* h1 (cos h0))) (* (log (cos h0)) 3) (* (log (cos h0)) 3) (* 1 3) (pow (cos h0) (* (cbrt 3) (cbrt 3))) (pow (cos h0) (sqrt 3)) (pow (cos h0) 1) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3) (pow (cbrt (cos h0)) 3) (pow (sqrt (cos h0)) 3) (pow (sqrt (cos h0)) 3) (pow 1 3) (pow (cos h0) 3) (* (cos h0) (cos h0)) (log (pow (cos h0) 3)) (exp (pow (cos h0) 3)) (* (cbrt (pow (cos h0) 3)) (cbrt (pow (cos h0) 3))) (cbrt (pow (cos h0) 3)) (* (* (pow (cos h0) 3) (pow (cos h0) 3)) (pow (cos h0) 3)) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3) (pow (cbrt (cos h0)) 3) (pow (sqrt (cos h0)) 3) (pow (sqrt (cos h0)) 3) (pow 1 3) (pow (cos h0) 3) (* (cos h0) (cos h0)) (sqrt (pow (cos h0) 3)) (sqrt (pow (cos h0) 3)) (pow (cos h0) (/ 3 2)) (pow (cos h0) (/ 3 2)) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) (- (+ (* 3/2 (pow h0 2)) (* 61/240 (pow h0 6))) (* 7/8 (pow h0 4))) (- h1 (pow (cos h0) 3)) (- h1 (pow (cos h0) 3)) (- (+ (* h4 (pow h0 4)) h3) (* h2 (pow h0 2))) (+ (pow (cos h0) 2) (* h1 (cos h0))) (+ (pow (cos h0) 2) (* h1 (cos h0))) (- (+ (* 7/8 (pow h0 4)) 1) (* 3/2 (pow h0 2))) (pow (cos h0) 3) (pow (cos h0) 3) 1.235 * * [simplify]: iteration 0 : 361 enodes (cost 583 ) 1.242 * * [simplify]: iteration 1 : 1558 enodes (cost 544 ) 1.285 * * [simplify]: iteration 2 : 5003 enodes (cost 524 ) 1.289 * * * [progress]: adding candidates to table 1.586 * * [progress]: iteration 4 / 4 1.586 * * * [progress]: picking best candidate 1.622 * * * * [pick]: Picked # 1.622 * * * [progress]: localizing error 1.651 * * * [progress]: generating rewritten candidates 1.651 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.657 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 1.664 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.704 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 2) 1.718 * * * [progress]: generating series expansions 1.718 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.718 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.718 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.718 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.718 * [taylor]: Taking taylor expansion of 1.0 in x 1.718 * [backup-simplify]: Simplify 1.0 into 1.0 1.718 * [taylor]: Taking taylor expansion of (cos x) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.718 * [taylor]: Taking taylor expansion of 1.0 in x 1.718 * [backup-simplify]: Simplify 1.0 into 1.0 1.718 * [taylor]: Taking taylor expansion of (cos x) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.719 * [backup-simplify]: Simplify (- 1) into -1 1.719 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (+ 0) into 0 1.720 * [backup-simplify]: Simplify (- 0) into 0 1.720 * [backup-simplify]: Simplify (+ 0 0) into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.721 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.721 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.721 * [backup-simplify]: Simplify 1/2 into 1/2 1.722 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.722 * [backup-simplify]: Simplify (- 0) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.724 * [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 1.724 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.724 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.724 * [backup-simplify]: Simplify -1/24 into -1/24 1.725 * [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 1.726 * [backup-simplify]: Simplify (- 0) into 0 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.728 * [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 1.729 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.729 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.729 * [backup-simplify]: Simplify 1/720 into 1/720 1.729 * [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))) 1.729 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.729 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.729 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.729 * [taylor]: Taking taylor expansion of 1.0 in x 1.729 * [backup-simplify]: Simplify 1.0 into 1.0 1.729 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (/ 1 1) into 1 1.730 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.730 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.730 * [taylor]: Taking taylor expansion of 1.0 in x 1.730 * [backup-simplify]: Simplify 1.0 into 1.0 1.730 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (/ 1 1) into 1 1.730 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.730 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.730 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.730 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.731 * [backup-simplify]: Simplify (- 0) into 0 1.731 * [backup-simplify]: Simplify (+ 0 0) into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (- 0) into 0 1.731 * [backup-simplify]: Simplify (+ 0 0) into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (- 0) into 0 1.732 * [backup-simplify]: Simplify (+ 0 0) into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (- 0) into 0 1.732 * [backup-simplify]: Simplify (+ 0 0) into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify (- 0) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify (- 0) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.734 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.734 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.734 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.734 * [taylor]: Taking taylor expansion of 1.0 in x 1.734 * [backup-simplify]: Simplify 1.0 into 1.0 1.734 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.734 * [taylor]: Taking taylor expansion of -1 in x 1.734 * [backup-simplify]: Simplify -1 into -1 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 (cos (/ -1 x)) into (cos (/ -1 x)) 1.734 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.734 * [taylor]: Taking taylor expansion of 1.0 in x 1.734 * [backup-simplify]: Simplify 1.0 into 1.0 1.734 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.734 * [taylor]: Taking taylor expansion of -1 in x 1.734 * [backup-simplify]: Simplify -1 into -1 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 1.735 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.735 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.735 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.735 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.735 * [backup-simplify]: Simplify (- 0) into 0 1.735 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify (- 0) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify (- 0) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify (- 0) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (- 0) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (- 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 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.738 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 1.738 * [backup-simplify]: Simplify (log (exp (pow (cos x) 3))) into (pow (cos x) 3) 1.738 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.738 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.738 * [taylor]: Taking taylor expansion of (cos x) in x 1.738 * [taylor]: Taking taylor expansion of x in x 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.738 * [taylor]: Taking taylor expansion of (cos x) in x 1.738 * [taylor]: Taking taylor expansion of x in x 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (* 1 1) into 1 1.739 * [backup-simplify]: Simplify (* 1 1) into 1 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (+ 0) into 0 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.741 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.741 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.741 * [backup-simplify]: Simplify -3/2 into -3/2 1.742 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.745 * [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 1.746 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.747 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.747 * [backup-simplify]: Simplify 7/8 into 7/8 1.747 * [backup-simplify]: Simplify (+ (* 7/8 (pow x 4)) (+ (* -3/2 (pow x 2)) 1)) into (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) 1.747 * [backup-simplify]: Simplify (log (exp (pow (cos (/ 1 x)) 3))) into (pow (cos (/ 1 x)) 3) 1.747 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.747 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.747 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (/ 1 1) into 1 1.747 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.747 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.747 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.748 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.748 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.748 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 1.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.752 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.756 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))))) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 3) into (pow (cos x) 3) 1.757 * [backup-simplify]: Simplify (log (exp (pow (cos (/ 1 (- x))) 3))) into (pow (cos (/ -1 x)) 3) 1.757 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.757 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.757 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.757 * [taylor]: Taking taylor expansion of -1 in x 1.757 * [backup-simplify]: Simplify -1 into -1 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (/ -1 1) into -1 1.757 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.757 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.757 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.757 * [taylor]: Taking taylor expansion of -1 in x 1.757 * [backup-simplify]: Simplify -1 into -1 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (/ -1 1) into -1 1.758 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.758 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.758 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.758 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 3) into (pow (cos (/ -1 x)) 3) 1.758 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.759 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.760 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.762 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.764 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.766 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))))) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 3) into (pow (cos x) 3) 1.766 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.767 * [backup-simplify]: Simplify (- (pow 1.0 3) (log (exp (pow (cos x) 3)))) into (- 1.0 (pow (cos x) 3)) 1.767 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.767 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.767 * [taylor]: Taking taylor expansion of 1.0 in x 1.767 * [backup-simplify]: Simplify 1.0 into 1.0 1.767 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.767 * [taylor]: Taking taylor expansion of (cos x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.767 * [taylor]: Taking taylor expansion of 1.0 in x 1.767 * [backup-simplify]: Simplify 1.0 into 1.0 1.767 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.767 * [taylor]: Taking taylor expansion of (cos x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (* 1 1) into 1 1.768 * [backup-simplify]: Simplify (* 1 1) into 1 1.768 * [backup-simplify]: Simplify (- 1) into -1 1.768 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (+ 0) into 0 1.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.769 * [backup-simplify]: Simplify (- 0) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.771 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.771 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.771 * [backup-simplify]: Simplify (- -3/2) into 3/2 1.772 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 1.772 * [backup-simplify]: Simplify 3/2 into 3/2 1.772 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (- 0) into 0 1.774 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.776 * [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 1.777 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.778 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.778 * [backup-simplify]: Simplify (- 7/8) into -7/8 1.778 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 1.778 * [backup-simplify]: Simplify -7/8 into -7/8 1.779 * [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 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 1.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 1.782 * [backup-simplify]: Simplify (- 0) into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.784 * [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 1.790 * [backup-simplify]: Simplify (+ (* 1 -1/720) (+ (* 0 0) (+ (* -1/2 1/24) (+ (* 0 0) (+ (* 1/24 -1/2) (+ (* 0 0) (* -1/720 1))))))) into -2/45 1.791 * [backup-simplify]: Simplify (+ (* 1 -2/45) (+ (* 0 0) (+ (* -1/2 1/3) (+ (* 0 0) (+ (* 1/24 -1) (+ (* 0 0) (* -1/720 1))))))) into -61/240 1.792 * [backup-simplify]: Simplify (- -61/240) into 61/240 1.792 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 1.792 * [backup-simplify]: Simplify 61/240 into 61/240 1.792 * [backup-simplify]: Simplify (+ (* 61/240 (pow x 6)) (+ (* -7/8 (pow x 4)) (* 3/2 (pow x 2)))) into (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) 1.793 * [backup-simplify]: Simplify (- (pow 1.0 3) (log (exp (pow (cos (/ 1 x)) 3)))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.793 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.793 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.793 * [taylor]: Taking taylor expansion of 1.0 in x 1.793 * [backup-simplify]: Simplify 1.0 into 1.0 1.793 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.793 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.793 * [taylor]: Taking taylor expansion of x in x 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (/ 1 1) into 1 1.793 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.794 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.794 * [backup-simplify]: Simplify 1.0 into 1.0 1.794 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.794 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (/ 1 1) into 1 1.794 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.794 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.794 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.794 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 1.794 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.795 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.795 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.795 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.795 * [backup-simplify]: Simplify (- 0) into 0 1.795 * [backup-simplify]: Simplify (+ 0 0) into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.796 * [backup-simplify]: Simplify (- 0) into 0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.800 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.800 * [backup-simplify]: Simplify (- 0) into 0 1.800 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.803 * [backup-simplify]: Simplify (- 0) into 0 1.803 * [backup-simplify]: Simplify (+ 0 0) into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.805 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))))) into 0 1.805 * [backup-simplify]: Simplify (- 0) into 0 1.806 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 (/ 1 x))) 3)) into (- 1.0 (pow (cos x) 3)) 1.806 * [backup-simplify]: Simplify (- (pow 1.0 3) (log (exp (pow (cos (/ 1 (- x))) 3)))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.806 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.806 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.806 * [taylor]: Taking taylor expansion of 1.0 in x 1.806 * [backup-simplify]: Simplify 1.0 into 1.0 1.806 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.806 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.806 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.806 * [taylor]: Taking taylor expansion of -1 in x 1.807 * [backup-simplify]: Simplify -1 into -1 1.807 * [taylor]: Taking taylor expansion of x in x 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (/ -1 1) into -1 1.807 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.807 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.807 * [taylor]: Taking taylor expansion of 1.0 in x 1.807 * [backup-simplify]: Simplify 1.0 into 1.0 1.807 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.807 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.807 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.807 * [taylor]: Taking taylor expansion of -1 in x 1.807 * [backup-simplify]: Simplify -1 into -1 1.807 * [taylor]: Taking taylor expansion of x in x 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (/ -1 1) into -1 1.807 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.808 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.808 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.808 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 1.808 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.808 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 x)) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.808 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.808 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.809 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.809 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.810 * [backup-simplify]: Simplify (- 0) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.811 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.811 * [backup-simplify]: Simplify (- 0) into 0 1.812 * [backup-simplify]: Simplify (+ 0 0) into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.813 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.813 * [backup-simplify]: Simplify (- 0) into 0 1.814 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.815 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.816 * [backup-simplify]: Simplify (- 0) into 0 1.816 * [backup-simplify]: Simplify (+ 0 0) into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.818 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))))) into 0 1.819 * [backup-simplify]: Simplify (- 0) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 3)) into (- 1.0 (pow (cos x) 3)) 1.819 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 2) 1.819 * [backup-simplify]: Simplify (+ (* (cos x) (cos x)) (* 1.0 (cos x))) into (+ (pow (cos x) 2) (* 1.0 (cos x))) 1.819 * [approximate]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in (x) around 0 1.819 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.819 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.819 * [taylor]: Taking taylor expansion of (cos x) in x 1.819 * [taylor]: Taking taylor expansion of x in x 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.819 * [taylor]: Taking taylor expansion of 1.0 in x 1.819 * [backup-simplify]: Simplify 1.0 into 1.0 1.819 * [taylor]: Taking taylor expansion of (cos x) in x 1.819 * [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 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.820 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.820 * [taylor]: Taking taylor expansion of (cos x) 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 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [backup-simplify]: Simplify 1.0 into 1.0 1.820 * [taylor]: Taking taylor expansion of (cos x) 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 (* 1.0 1) into 1.0 1.821 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 1.821 * [backup-simplify]: Simplify 2.0 into 2.0 1.821 * [backup-simplify]: Simplify (+ 0) into 0 1.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.821 * [backup-simplify]: Simplify (+ 0) into 0 1.822 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.823 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.825 * [backup-simplify]: Simplify (+ (* 1.0 -1/2) (+ (* 0 0) (* 0 1))) into (- 0.5) 1.825 * [backup-simplify]: Simplify (+ -1 (- 0.5)) into (- 1.5) 1.826 * [backup-simplify]: Simplify (- 1.5) into (- 1.5) 1.826 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.828 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (+ 0 0) into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.830 * [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 1.831 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.832 * [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 1.834 * [backup-simplify]: Simplify (+ (* 1.0 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 0.041666666666666664 1.834 * [backup-simplify]: Simplify (+ 1/3 0.041666666666666664) into 0.375 1.834 * [backup-simplify]: Simplify 0.375 into 0.375 1.835 * [backup-simplify]: Simplify (+ (* 0.375 (pow x 4)) (+ (* (- 1.5) (pow x 2)) 2.0)) into (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) 1.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) (cos (/ 1 x))) (* 1.0 (cos (/ 1 x)))) into (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) 1.835 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in (x) around 0 1.835 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.835 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.835 * [taylor]: Taking taylor expansion of 1.0 in x 1.835 * [backup-simplify]: Simplify 1.0 into 1.0 1.835 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.835 * [backup-simplify]: Simplify (/ 1 1) into 1 1.835 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.836 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.836 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (/ 1 1) into 1 1.836 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.836 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.836 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.836 * [taylor]: Taking taylor expansion of 1.0 in x 1.836 * [backup-simplify]: Simplify 1.0 into 1.0 1.836 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (/ 1 1) into 1 1.836 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.836 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.836 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.837 * [backup-simplify]: Simplify (* 1.0 (cos (/ 1 x))) into (* 1.0 (cos (/ 1 x))) 1.837 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.837 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) into (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) 1.837 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) into (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) 1.838 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ 1 x)))) into 0 1.838 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.840 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.842 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ 1 (/ 1 x)))) (pow (cos (/ 1 (/ 1 x))) 2)) into (+ (pow (cos x) 2) (* 1.0 (cos x))) 1.848 * [backup-simplify]: Simplify (+ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* 1.0 (cos (/ 1 (- x))))) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 1.848 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in (x) around 0 1.848 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.848 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.848 * [taylor]: Taking taylor expansion of 1.0 in x 1.848 * [backup-simplify]: Simplify 1.0 into 1.0 1.848 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.848 * [taylor]: Taking taylor expansion of -1 in x 1.848 * [backup-simplify]: Simplify -1 into -1 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (/ -1 1) into -1 1.848 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.848 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.848 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.848 * [taylor]: Taking taylor expansion of -1 in x 1.848 * [backup-simplify]: Simplify -1 into -1 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (/ -1 1) into -1 1.849 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.849 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.849 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.849 * [taylor]: Taking taylor expansion of 1.0 in x 1.849 * [backup-simplify]: Simplify 1.0 into 1.0 1.849 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.849 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.849 * [taylor]: Taking taylor expansion of -1 in x 1.849 * [backup-simplify]: Simplify -1 into -1 1.849 * [taylor]: Taking taylor expansion of x in x 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (/ -1 1) into -1 1.849 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.849 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.849 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.849 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.849 * [taylor]: Taking taylor expansion of -1 in x 1.849 * [backup-simplify]: Simplify -1 into -1 1.849 * [taylor]: Taking taylor expansion of x in x 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ -1 1) into -1 1.850 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.850 * [backup-simplify]: Simplify (* 1.0 (cos (/ -1 x))) into (* 1.0 (cos (/ -1 x))) 1.850 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.850 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) into (+ (pow (cos (/ -1 x)) 2) (* 1.0 (cos (/ -1 x)))) 1.850 * [backup-simplify]: Simplify (+ (pow (cos (/ -1 x)) 2) (* 1.0 (cos (/ -1 x)))) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 1.851 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ -1 x)))) into 0 1.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.851 * [backup-simplify]: Simplify (+ 0 0) into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.852 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.855 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.857 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.858 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (+ (pow (cos x) 2) (* 1.0 (cos x))) 1.861 * * * [progress]: simplifying candidates 1.862 * [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)) (log (* (cbrt (exp (pow (cos x) 3))) (cbrt (exp (pow (cos x) 3))))) (log (cbrt (exp (pow (cos x) 3)))) (log (sqrt (exp (pow (cos x) 3)))) (log (sqrt (exp (pow (cos x) 3)))) (log 1) (log (exp (pow (cos x) 3))) (log (exp (pow (cos x) 3))) (log (exp (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (log (exp (pow (sqrt (cos x)) 3))) (log (exp (pow 1 3))) (log (exp (* (cos x) (cos x)))) (log (exp (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))))) (log (exp (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (log (exp (pow (sqrt (cos x)) 3))) (log (exp (pow 1 3))) (log (exp (cos x))) (log (exp (sqrt (pow (cos x) 3)))) (log (exp 1)) (log (exp (pow (cos x) (/ 3 2)))) (log (log (exp (pow (cos x) 3)))) (exp (log (exp (pow (cos x) 3)))) (* (cbrt (log (exp (pow (cos x) 3)))) (cbrt (log (exp (pow (cos x) 3))))) (cbrt (log (exp (pow (cos x) 3)))) (* (* (log (exp (pow (cos x) 3))) (log (exp (pow (cos x) 3)))) (log (exp (pow (cos x) 3)))) (sqrt (log (exp (pow (cos x) 3)))) (sqrt (log (exp (pow (cos x) 3)))) (/ (exp (pow 1.0 3)) (exp (pow (cos x) 3))) (log (- (pow 1.0 3) (log (exp (pow (cos x) 3))))) (exp (- (pow 1.0 3) (log (exp (pow (cos x) 3))))) (* (cbrt (- (pow 1.0 3) (log (exp (pow (cos x) 3))))) (cbrt (- (pow 1.0 3) (log (exp (pow (cos x) 3)))))) (cbrt (- (pow 1.0 3) (log (exp (pow (cos x) 3))))) (* (* (- (pow 1.0 3) (log (exp (pow (cos x) 3)))) (- (pow 1.0 3) (log (exp (pow (cos x) 3))))) (- (pow 1.0 3) (log (exp (pow (cos x) 3))))) (sqrt (- (pow 1.0 3) (log (exp (pow (cos x) 3))))) (sqrt (- (pow 1.0 3) (log (exp (pow (cos x) 3))))) (- (pow (pow 1.0 3) 3) (pow (log (exp (pow (cos x) 3))) 3)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (log (exp (pow (cos x) 3))) (log (exp (pow (cos x) 3)))) (* (pow 1.0 3) (log (exp (pow (cos x) 3)))))) (- (log (exp (pow (cos x) 3)))) (- (* (pow 1.0 3) (pow 1.0 3)) (* (log (exp (pow (cos x) 3))) (log (exp (pow (cos x) 3))))) (+ (pow 1.0 3) (log (exp (pow (cos x) 3)))) (+ (pow (sqrt 1.0) 3) (sqrt (log (exp (pow (cos x) 3))))) (- (pow (sqrt 1.0) 3) (sqrt (log (exp (pow (cos x) 3))))) (+ (pow (sqrt 1.0) 3) (sqrt (log (exp (pow (cos x) 3))))) (- (pow (sqrt 1.0) 3) (sqrt (log (exp (pow (cos x) 3))))) (+ (sqrt (pow 1.0 3)) (sqrt (log (exp (pow (cos x) 3))))) (- (sqrt (pow 1.0 3)) (sqrt (log (exp (pow (cos x) 3))))) (+ (pow 1.0 (/ 3 2)) (sqrt (log (exp (pow (cos x) 3))))) (- (pow 1.0 (/ 3 2)) (sqrt (log (exp (pow (cos x) 3))))) (- (pow 1.0 3) (log (exp (pow (cos x) 3)))) (- (pow 1.0 3) (log (exp (pow (cos x) 3)))) (- (pow 1.0 3) (log (* (cbrt (exp (pow (cos x) 3))) (cbrt (exp (pow (cos x) 3)))))) (- (pow 1.0 3) (log (sqrt (exp (pow (cos x) 3))))) (- (pow 1.0 3) (log 1)) (- (log (exp (pow (cos x) 3)))) (* (exp (* (cos x) (cos x))) (exp (* 1.0 (cos x)))) (log (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (exp (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (* (+ (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (pow (* (cos x) (cos x)) 3) (pow (* 1.0 (cos x)) 3)) (+ (* (* (cos x) (cos x)) (* (cos x) (cos x))) (- (* (* 1.0 (cos x)) (* 1.0 (cos x))) (* (* (cos x) (cos x)) (* 1.0 (cos x))))) (- (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* 1.0 (cos x)) (* 1.0 (cos x)))) (- (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (cos x) 1.0) (+ (* 1/2 (cos (* 2 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)) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) (+ (pow (cos x) 2) (* 1.0 (cos x))) (+ (pow (cos x) 2) (* 1.0 (cos x))) 1.862 * [simplify]: Sending expressions to egg_math: (/ (exp h1) (exp (cos h0))) (log (- h1 (cos h0))) (exp (- h1 (cos h0))) (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (cbrt (- h1 (cos h0))) (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (- (pow h1 3) (pow (cos h0) 3)) (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (- (cos h0)) (- (* h1 h1) (* (cos h0) (cos h0))) (+ h1 (cos h0)) (+ (sqrt h1) (sqrt (cos h0))) (- (sqrt h1) (sqrt (cos h0))) (- h1 (cos h0)) (- (cos h0)) (log (* (cbrt (exp (pow (cos h0) 3))) (cbrt (exp (pow (cos h0) 3))))) (log (cbrt (exp (pow (cos h0) 3)))) (log (sqrt (exp (pow (cos h0) 3)))) (log (sqrt (exp (pow (cos h0) 3)))) (log 1) (log (exp (pow (cos h0) 3))) (log (exp (pow (cos h0) 3))) (log (exp (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3))) (log (exp (pow (sqrt (cos h0)) 3))) (log (exp (pow 1 3))) (log (exp (* (cos h0) (cos h0)))) (log (exp (* (cbrt (pow (cos h0) 3)) (cbrt (pow (cos h0) 3))))) (log (exp (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3))) (log (exp (pow (sqrt (cos h0)) 3))) (log (exp (pow 1 3))) (log (exp (cos h0))) (log (exp (sqrt (pow (cos h0) 3)))) (log (exp 1)) (log (exp (pow (cos h0) (/ 3 2)))) (log (log (exp (pow (cos h0) 3)))) (exp (log (exp (pow (cos h0) 3)))) (* (cbrt (log (exp (pow (cos h0) 3)))) (cbrt (log (exp (pow (cos h0) 3))))) (cbrt (log (exp (pow (cos h0) 3)))) (* (* (log (exp (pow (cos h0) 3))) (log (exp (pow (cos h0) 3)))) (log (exp (pow (cos h0) 3)))) (sqrt (log (exp (pow (cos h0) 3)))) (sqrt (log (exp (pow (cos h0) 3)))) (/ (exp (pow h1 3)) (exp (pow (cos h0) 3))) (log (- (pow h1 3) (log (exp (pow (cos h0) 3))))) (exp (- (pow h1 3) (log (exp (pow (cos h0) 3))))) (* (cbrt (- (pow h1 3) (log (exp (pow (cos h0) 3))))) (cbrt (- (pow h1 3) (log (exp (pow (cos h0) 3)))))) (cbrt (- (pow h1 3) (log (exp (pow (cos h0) 3))))) (* (* (- (pow h1 3) (log (exp (pow (cos h0) 3)))) (- (pow h1 3) (log (exp (pow (cos h0) 3))))) (- (pow h1 3) (log (exp (pow (cos h0) 3))))) (sqrt (- (pow h1 3) (log (exp (pow (cos h0) 3))))) (sqrt (- (pow h1 3) (log (exp (pow (cos h0) 3))))) (- (pow (pow h1 3) 3) (pow (log (exp (pow (cos h0) 3))) 3)) (+ (* (pow h1 3) (pow h1 3)) (+ (* (log (exp (pow (cos h0) 3))) (log (exp (pow (cos h0) 3)))) (* (pow h1 3) (log (exp (pow (cos h0) 3)))))) (- (log (exp (pow (cos h0) 3)))) (- (* (pow h1 3) (pow h1 3)) (* (log (exp (pow (cos h0) 3))) (log (exp (pow (cos h0) 3))))) (+ (pow h1 3) (log (exp (pow (cos h0) 3)))) (+ (pow (sqrt h1) 3) (sqrt (log (exp (pow (cos h0) 3))))) (- (pow (sqrt h1) 3) (sqrt (log (exp (pow (cos h0) 3))))) (+ (pow (sqrt h1) 3) (sqrt (log (exp (pow (cos h0) 3))))) (- (pow (sqrt h1) 3) (sqrt (log (exp (pow (cos h0) 3))))) (+ (sqrt (pow h1 3)) (sqrt (log (exp (pow (cos h0) 3))))) (- (sqrt (pow h1 3)) (sqrt (log (exp (pow (cos h0) 3))))) (+ (pow h1 (/ 3 2)) (sqrt (log (exp (pow (cos h0) 3))))) (- (pow h1 (/ 3 2)) (sqrt (log (exp (pow (cos h0) 3))))) (- (pow h1 3) (log (exp (pow (cos h0) 3)))) (- (pow h1 3) (log (exp (pow (cos h0) 3)))) (- (pow h1 3) (log (* (cbrt (exp (pow (cos h0) 3))) (cbrt (exp (pow (cos h0) 3)))))) (- (pow h1 3) (log (sqrt (exp (pow (cos h0) 3))))) (- (pow h1 3) (log 1)) (- (log (exp (pow (cos h0) 3)))) (* (exp (* (cos h0) (cos h0))) (exp (* h1 (cos h0)))) (log (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (exp (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (* (cbrt (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (cbrt (+ (* (cos h0) (cos h0)) (* h1 (cos h0))))) (cbrt (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (* (* (+ (* (cos h0) (cos h0)) (* h1 (cos h0))) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (sqrt (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (sqrt (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (+ (pow (* (cos h0) (cos h0)) 3) (pow (* h1 (cos h0)) 3)) (+ (* (* (cos h0) (cos h0)) (* (cos h0) (cos h0))) (- (* (* h1 (cos h0)) (* h1 (cos h0))) (* (* (cos h0) (cos h0)) (* h1 (cos h0))))) (- (* (* (cos h0) (cos h0)) (* (cos h0) (cos h0))) (* (* h1 (cos h0)) (* h1 (cos h0)))) (- (* (cos h0) (cos h0)) (* h1 (cos h0))) (+ (cos h0) h1) (+ (* 1/2 (cos (* 2 h0))) (* h1 (cos h0))) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) (- (+ (* 7/8 (pow h0 4)) 1) (* 3/2 (pow h0 2))) (pow (cos h0) 3) (pow (cos h0) 3) (- (+ (* 3/2 (pow h0 2)) (* 61/240 (pow h0 6))) (* 7/8 (pow h0 4))) (- h1 (pow (cos h0) 3)) (- h1 (pow (cos h0) 3)) (- (+ (* h4 (pow h0 4)) h3) (* h2 (pow h0 2))) (+ (pow (cos h0) 2) (* h1 (cos h0))) (+ (pow (cos h0) 2) (* h1 (cos h0))) 1.866 * * [simplify]: iteration 0 : 357 enodes (cost 517 ) 1.873 * * [simplify]: iteration 1 : 1269 enodes (cost 431 ) 1.899 * * [simplify]: iteration 2 : 5001 enodes (cost 426 ) 1.902 * * * [progress]: adding candidates to table 2.241 * [progress]: [Phase 3 of 3] Extracting. 2.241 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.246 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.246 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.321 * * * [regime]: Found split indices: #