13.868 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.056 * [simplify]: Sending expressions to egg_math: (/ (- h1 (cos h0)) (* h0 h0)) 0.058 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.059 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.060 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.061 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.063 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.063 * * [progress]: iteration 1 / 4 0.063 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.091 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.098 * * * [progress]: generating series expansions 0.098 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.098 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.098 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [backup-simplify]: Simplify 1.0 into 1.0 0.098 * [taylor]: Taking taylor expansion of (cos x) 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 * [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 0.099 * [backup-simplify]: Simplify (- 1) into -1 0.099 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.099 * [backup-simplify]: Simplify (+ 0) into 0 0.100 * [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 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [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 0.108 * [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 0.110 * [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 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [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 0.114 * [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 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.116 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.116 * [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 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 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 0.118 * [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 0.118 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.118 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.118 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.118 * [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 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.130 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.130 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [backup-simplify]: Simplify 1.0 into 1.0 0.130 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.130 * [taylor]: Taking taylor expansion of -1 in x 0.130 * [backup-simplify]: Simplify -1 into -1 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ -1 1) into -1 0.130 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [backup-simplify]: Simplify 1.0 into 1.0 0.130 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.130 * [taylor]: Taking taylor expansion of -1 in x 0.130 * [backup-simplify]: Simplify -1 into -1 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ -1 1) into -1 0.131 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.131 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.131 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 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 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 0) (+ (* 0 0) (* 0 1))))))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.144 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.144 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.144 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [backup-simplify]: Simplify 1.0 into 1.0 0.144 * [taylor]: Taking taylor expansion of (cos x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [backup-simplify]: Simplify 1.0 into 1.0 0.144 * [taylor]: Taking taylor expansion of (cos x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (- 1) into -1 0.144 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ 0) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.146 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.146 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.146 * [backup-simplify]: Simplify 1/2 into 1/2 0.147 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.149 * [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 0.149 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.149 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.149 * [backup-simplify]: Simplify -1/24 into -1/24 0.150 * [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 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.153 * [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 0.153 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.153 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.153 * [backup-simplify]: Simplify 1/720 into 1/720 0.154 * [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))) 0.154 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.154 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.154 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [backup-simplify]: Simplify 1.0 into 1.0 0.154 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.154 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [backup-simplify]: Simplify 1.0 into 1.0 0.154 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.155 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.155 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.155 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.158 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.158 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 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 -1 in x 0.158 * [backup-simplify]: Simplify -1 into -1 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 * [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 -1 in x 0.158 * [backup-simplify]: Simplify -1 into -1 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (/ -1 1) into -1 0.159 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.159 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.159 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.159 * [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 0.160 * [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 (- 0) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.162 * * * [progress]: simplifying candidates 0.163 * [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)) 0.163 * [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)) 0.166 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.170 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.180 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.219 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.220 * * * [progress]: adding candidates to table 0.309 * * [progress]: iteration 2 / 4 0.309 * * * [progress]: picking best candidate 0.327 * * * * [pick]: Picked # 0.327 * * * [progress]: localizing error 0.335 * * * [progress]: generating rewritten candidates 0.335 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.341 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.357 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.401 * * * [progress]: generating series expansions 0.401 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.401 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.401 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [backup-simplify]: Simplify 1.0 into 1.0 0.401 * [taylor]: Taking taylor expansion of (cos x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [backup-simplify]: Simplify 1.0 into 1.0 0.401 * [taylor]: Taking taylor expansion of (cos x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (- 1) into -1 0.402 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ 0) into 0 0.402 * [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 (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.404 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.404 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.404 * [backup-simplify]: Simplify 1/2 into 1/2 0.404 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [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 0.407 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.407 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.407 * [backup-simplify]: Simplify -1/24 into -1/24 0.408 * [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 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.411 * [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 0.411 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.411 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.411 * [backup-simplify]: Simplify 1/720 into 1/720 0.412 * [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))) 0.412 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.412 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.412 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [backup-simplify]: Simplify 1.0 into 1.0 0.412 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.412 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [backup-simplify]: Simplify 1.0 into 1.0 0.412 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.413 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.413 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.413 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.413 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify 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 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.416 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.416 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.416 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [backup-simplify]: Simplify 1.0 into 1.0 0.416 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.416 * [taylor]: Taking taylor expansion of -1 in x 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ -1 1) into -1 0.416 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.416 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [backup-simplify]: Simplify 1.0 into 1.0 0.416 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.416 * [taylor]: Taking taylor expansion of -1 in x 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ -1 1) into -1 0.417 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.417 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.417 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.417 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (- 0) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (- 0) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.420 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.420 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 0.420 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.420 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.420 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.420 * [backup-simplify]: Simplify 1.0 into 1.0 0.420 * [taylor]: Taking taylor expansion of (cos x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (- 1) into -1 0.421 * [backup-simplify]: Simplify (+ 1.0 -1) 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 0.422 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.422 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.422 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.422 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.422 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.422 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.422 * [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 x) in x 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 * [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) into -1 0.423 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.423 * [backup-simplify]: Simplify (+ 0) into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.424 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.425 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.425 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.425 * [backup-simplify]: Simplify 1/2 into 1/2 0.426 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [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 0.428 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.428 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.429 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.429 * [backup-simplify]: Simplify -1/24 into -1/24 0.430 * [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 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.434 * [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 0.434 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.434 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.435 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.435 * [backup-simplify]: Simplify 1/720 into 1/720 0.436 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 0.436 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 0.436 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 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 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [backup-simplify]: Simplify 1.0 into 1.0 0.436 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 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 0.436 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.436 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 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 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [backup-simplify]: Simplify 1.0 into 1.0 0.436 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 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 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.437 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.437 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.437 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (- 0) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 0.438 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))))) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 0.447 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 0.447 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [backup-simplify]: Simplify 1.0 into 1.0 0.447 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ -1 1) into -1 0.447 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [backup-simplify]: Simplify 1.0 into 1.0 0.447 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ -1 1) into -1 0.448 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.448 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.448 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 0.448 * [backup-simplify]: Simplify (* -1 0) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 0.449 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 0.449 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 0.451 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.454 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.456 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.462 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.464 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))))) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 0.465 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.465 * [backup-simplify]: Simplify (* (/ 1 x) (/ (- 1.0 (cos x)) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.465 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.465 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [backup-simplify]: Simplify 1.0 into 1.0 0.465 * [taylor]: Taking taylor expansion of (cos x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (- 1) into -1 0.465 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.466 * [backup-simplify]: Simplify (+ 0) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.467 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.467 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.468 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [backup-simplify]: Simplify 1.0 into 1.0 0.468 * [taylor]: Taking taylor expansion of (cos x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (- 1) into -1 0.468 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.468 * [backup-simplify]: Simplify (+ 0) into 0 0.469 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.470 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.470 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.470 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.470 * [backup-simplify]: Simplify 1/2 into 1/2 0.471 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.471 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.474 * [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 0.474 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.474 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.475 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.475 * [backup-simplify]: Simplify -1/24 into -1/24 0.476 * [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 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.480 * [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 0.480 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.481 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.482 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.482 * [backup-simplify]: Simplify 1/720 into 1/720 0.483 * [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))) 0.483 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (/ (- 1.0 (cos (/ 1 x))) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.483 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) 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 (- 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 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) 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 (- 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 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 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))) 0.484 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.484 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.495 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.495 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.495 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [backup-simplify]: Simplify 1.0 into 1.0 0.496 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.496 * [taylor]: Taking taylor expansion of -1 in x 0.496 * [backup-simplify]: Simplify -1 into -1 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ -1 1) into -1 0.496 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [backup-simplify]: Simplify 1.0 into 1.0 0.496 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.496 * [taylor]: Taking taylor expansion of -1 in x 0.496 * [backup-simplify]: Simplify -1 into -1 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ -1 1) into -1 0.496 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.497 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.497 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.504 * [backup-simplify]: Simplify (- 0) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.507 * * * [progress]: simplifying candidates 0.508 * [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 (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (- (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 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(* (/ (sqrt 1) (sqrt h0)) (sqrt (/ (- h1 (cos h0)) h0))) (* (/ (sqrt 1) (sqrt h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0))) (* (/ (sqrt 1) (sqrt h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0))) (* (/ 1 (sqrt h0)) (sqrt (/ (- h1 (cos h0)) h0))) (* (/ 1 (sqrt h0)) (sqrt (/ (- h1 (cos h0)) h0))) (* (/ 1 (sqrt h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0))) (* (/ 1 (sqrt h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0))) (* (/ 1 h0) (* (cbrt (/ (- h1 (cos h0)) h0)) (cbrt (/ (- h1 (cos h0)) h0)))) (* (/ 1 h0) (sqrt (/ (- h1 (cos h0)) h0))) (* (/ 1 h0) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (* (cbrt h0) (cbrt h0)))) (* (/ 1 h0) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (sqrt h0))) (* (/ 1 h0) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) 1)) (* (/ 1 h0) (/ (sqrt (- h1 (cos h0))) (* (cbrt h0) (cbrt h0)))) (* (/ 1 h0) (/ (sqrt (- h1 (cos h0))) (sqrt h0))) (* (/ 1 h0) (/ (sqrt (- h1 (cos h0))) 1)) (* (/ 1 h0) (/ 1 (* (cbrt h0) (cbrt h0)))) (* (/ 1 h0) (/ 1 (sqrt h0))) (* (/ 1 h0) (/ 1 1)) (* (/ 1 h0) (/ (+ (sqrt h1) (sqrt (cos h0))) (* (cbrt h0) (cbrt h0)))) (* (/ 1 h0) (/ (+ (sqrt h1) (sqrt (cos h0))) (sqrt h0))) (* (/ 1 h0) (/ (+ (sqrt h1) (sqrt (cos h0))) 1)) (* (/ 1 h0) (/ 1 (* (cbrt h0) (cbrt h0)))) (* (/ 1 h0) (/ 1 (sqrt h0))) (* (/ 1 h0) (/ 1 1)) (* (/ 1 h0) 1) (* (/ 1 h0) (- h1 (cos h0))) (* (cbrt (/ 1 h0)) (/ (- h1 (cos h0)) h0)) (* (sqrt (/ 1 h0)) (/ (- h1 (cos h0)) h0)) (* (/ (cbrt 1) (cbrt h0)) (/ (- h1 (cos h0)) h0)) (* (/ (cbrt 1) (sqrt h0)) (/ (- h1 (cos h0)) h0)) (* (/ (cbrt 1) h0) (/ (- h1 (cos h0)) h0)) (* (/ (sqrt 1) (cbrt h0)) (/ (- h1 (cos h0)) h0)) (* (/ (sqrt 1) (sqrt h0)) (/ (- h1 (cos h0)) h0)) (* (/ (sqrt 1) h0) (/ (- h1 (cos h0)) h0)) (* (/ 1 (cbrt h0)) (/ (- h1 (cos h0)) h0)) (* (/ 1 (sqrt h0)) (/ (- h1 (cos h0)) h0)) (* (/ 1 h0) (/ (- h1 (cos h0)) h0)) (* (/ 1 h0) (/ (- h1 (cos h0)) h0)) (* (/ 1 h0) (/ (- h1 (cos h0)) h0)) (* (/ 1 h0) (- h1 (cos h0))) (* 1 (/ (- h1 (cos h0)) h0)) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) (- (+ (* 1/2 h0) (* 1/720 (pow h0 5))) (* 1/24 (pow h0 3))) (/ (- h1 (cos h0)) h0) (* -1 (/ (- (cos h0) h1) 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)) 0.514 * * [simplify]: iteration 0 : 521 enodes (cost 814 ) 0.523 * * [simplify]: iteration 1 : 2334 enodes (cost 726 ) 0.561 * * [simplify]: iteration 2 : 5001 enodes (cost 690 ) 0.565 * * * [progress]: adding candidates to table 0.772 * * [progress]: iteration 3 / 4 0.772 * * * [progress]: picking best candidate 0.790 * * * * [pick]: Picked # 0.790 * * * [progress]: localizing error 0.806 * * * [progress]: generating rewritten candidates 0.806 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.832 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.836 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2) 0.843 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.929 * * * [progress]: generating series expansions 0.929 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.930 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos x) 3)) into (- 1.0 (pow (cos x) 3)) 0.930 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 0.930 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [backup-simplify]: Simplify 1.0 into 1.0 0.930 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.930 * [taylor]: Taking taylor expansion of (cos x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [backup-simplify]: Simplify 1.0 into 1.0 0.930 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.930 * [taylor]: Taking taylor expansion of (cos x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.931 * [backup-simplify]: Simplify (- 1) into -1 0.931 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (+ 0) into 0 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.932 * [backup-simplify]: Simplify (- 0) into 0 0.932 * [backup-simplify]: Simplify (+ 0 0) into 0 0.932 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.933 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 0.934 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 0.934 * [backup-simplify]: Simplify (- -3/2) into 3/2 0.934 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 0.934 * [backup-simplify]: Simplify 3/2 into 3/2 0.935 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (- 0) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify 0 into 0 0.938 * [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 0.939 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 0.940 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 0.940 * [backup-simplify]: Simplify (- 7/8) into -7/8 0.940 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 0.940 * [backup-simplify]: Simplify -7/8 into -7/8 0.942 * [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 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 0.944 * [backup-simplify]: Simplify (- 0) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.947 * [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 0.948 * [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 0.949 * [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 0.949 * [backup-simplify]: Simplify (- -61/240) into 61/240 0.949 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 0.949 * [backup-simplify]: Simplify 61/240 into 61/240 0.950 * [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))) 0.950 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 0.950 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [backup-simplify]: Simplify 1.0 into 1.0 0.950 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.950 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (/ 1 1) into 1 0.954 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.954 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [backup-simplify]: Simplify 1.0 into 1.0 0.954 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.954 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (/ 1 1) into 1 0.954 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.955 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 0.955 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 0.955 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 0.955 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 0.955 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 0.955 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 0.956 * [backup-simplify]: Simplify (- 0) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 0.957 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 0.957 * [backup-simplify]: Simplify (- 0) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 0.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 0.958 * [backup-simplify]: Simplify (- 0) into 0 0.959 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 0.960 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.961 * [backup-simplify]: Simplify (+ 0 0) into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 0.962 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 0.963 * [backup-simplify]: Simplify (- 0) into 0 0.963 * [backup-simplify]: Simplify (+ 0 0) into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 0.965 * [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 0.966 * [backup-simplify]: Simplify (- 0) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 (/ 1 x))) 3)) into (- 1.0 (pow (cos x) 3)) 0.966 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos (/ 1 (- x))) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 0.966 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 0.966 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [backup-simplify]: Simplify 1.0 into 1.0 0.966 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.966 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.966 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [backup-simplify]: Simplify -1 into -1 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify (/ -1 1) into -1 0.967 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.967 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.967 * [taylor]: Taking taylor expansion of 1.0 in x 0.967 * [backup-simplify]: Simplify 1.0 into 1.0 0.967 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.967 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.967 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [backup-simplify]: Simplify -1 into -1 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify (/ -1 1) into -1 0.967 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.967 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 0.968 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 0.968 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 0.968 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 0.968 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 x)) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 0.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 0.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 0.968 * [backup-simplify]: Simplify (- 0) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 0.969 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 0.970 * [backup-simplify]: Simplify (- 0) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 0.971 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 0.971 * [backup-simplify]: Simplify (- 0) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 0.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 0.973 * [backup-simplify]: Simplify (- 0) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 0.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 0.975 * [backup-simplify]: Simplify (- 0) into 0 0.976 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 0.978 * [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 0.978 * [backup-simplify]: Simplify (- 0) into 0 0.978 * [backup-simplify]: Simplify (+ 0 0) into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 3)) into (- 1.0 (pow (cos x) 3)) 0.979 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 0.979 * [backup-simplify]: Simplify (pow (cos x) 3) into (pow (cos x) 3) 0.979 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 0.979 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.979 * [taylor]: Taking taylor expansion of (cos x) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.979 * [taylor]: Taking taylor expansion of (cos x) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (+ 0) into 0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.981 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 0.982 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 0.982 * [backup-simplify]: Simplify -3/2 into -3/2 0.983 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 0.984 * [backup-simplify]: Simplify 0 into 0 0.985 * [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 0.986 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 0.987 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 0.987 * [backup-simplify]: Simplify 7/8 into 7/8 0.987 * [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))) 0.987 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 0.987 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 0.987 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.987 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (/ 1 1) into 1 0.988 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.988 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.988 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (/ 1 1) into 1 0.988 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.988 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 0.988 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 0.988 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 0.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 0.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 0.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 0.991 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 0.992 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 0.994 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 0.996 * [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 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 3) into (pow (cos x) 3) 0.996 * [backup-simplify]: Simplify (pow (cos (/ 1 (- x))) 3) into (pow (cos (/ -1 x)) 3) 0.996 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 0.997 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.997 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.997 * [taylor]: Taking taylor expansion of -1 in x 0.997 * [backup-simplify]: Simplify -1 into -1 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (/ -1 1) into -1 0.997 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.997 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.997 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.997 * [taylor]: Taking taylor expansion of -1 in x 0.997 * [backup-simplify]: Simplify -1 into -1 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (/ -1 1) into -1 0.997 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.997 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 0.998 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 0.998 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 3) into (pow (cos (/ -1 x)) 3) 0.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 0.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 0.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.005 * [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 1.005 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 3) into (pow (cos x) 3) 1.006 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2) 1.006 * [backup-simplify]: Simplify (+ (cos x) 1.0) into (+ 1.0 (cos x)) 1.006 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [backup-simplify]: Simplify 1.0 into 1.0 1.006 * [taylor]: Taking taylor expansion of (cos x) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [backup-simplify]: Simplify 1.0 into 1.0 1.006 * [taylor]: Taking taylor expansion of (cos x) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [backup-simplify]: Simplify (+ 1.0 1) into 2.0 1.006 * [backup-simplify]: Simplify 2.0 into 2.0 1.006 * [backup-simplify]: Simplify (+ 0) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.007 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.007 * [backup-simplify]: Simplify -1/2 into -1/2 1.008 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.010 * [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 1.010 * [backup-simplify]: Simplify (+ 0 1/24) into 1/24 1.010 * [backup-simplify]: Simplify 1/24 into 1/24 1.010 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2.0)) into (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) 1.010 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 1.010 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.010 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.010 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.011 * [backup-simplify]: Simplify (/ 1 1) into 1 1.011 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [backup-simplify]: Simplify 1.0 into 1.0 1.011 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.011 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [backup-simplify]: Simplify (/ 1 1) into 1 1.011 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [backup-simplify]: Simplify 1.0 into 1.0 1.011 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 1.011 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 1.012 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ 0 0) into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (+ 0 0) into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1.0) into (+ 1.0 (cos x)) 1.013 * [backup-simplify]: Simplify (+ (cos (/ 1 (- x))) 1.0) into (+ (cos (/ -1 x)) 1.0) 1.013 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.013 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.013 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.013 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.013 * [taylor]: Taking taylor expansion of -1 in x 1.013 * [backup-simplify]: Simplify -1 into -1 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.013 * [backup-simplify]: Simplify (/ -1 1) into -1 1.013 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.013 * [taylor]: Taking taylor expansion of 1.0 in x 1.013 * [backup-simplify]: Simplify 1.0 into 1.0 1.013 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.013 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.013 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.013 * [taylor]: Taking taylor expansion of -1 in x 1.013 * [backup-simplify]: Simplify -1 into -1 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (/ -1 1) into -1 1.014 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.014 * [taylor]: Taking taylor expansion of 1.0 in x 1.014 * [backup-simplify]: Simplify 1.0 into 1.0 1.014 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 1.014 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 1.014 * [backup-simplify]: Simplify (+ 0 0) into 0 1.014 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1.0) into (+ 1.0 (cos x)) 1.016 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.017 * [backup-simplify]: Simplify (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) into (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) 1.017 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) in (x) around 0 1.017 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) in x 1.017 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [backup-simplify]: Simplify 1.0 into 1.0 1.017 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.017 * [taylor]: Taking taylor expansion of (cos x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [backup-simplify]: Simplify 1.0 into 1.0 1.017 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.017 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.017 * [taylor]: Taking taylor expansion of (cos x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [backup-simplify]: Simplify 1.0 into 1.0 1.017 * [taylor]: Taking taylor expansion of (cos x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (* 1 1) into 1 1.017 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (- 1) into -1 1.018 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.018 * [backup-simplify]: Simplify (+ 0) into 0 1.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.019 * [backup-simplify]: Simplify (- 0) into 0 1.019 * [backup-simplify]: Simplify (+ 0 0) into 0 1.020 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.020 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.021 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.021 * [backup-simplify]: Simplify (- -3/2) into 3/2 1.021 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 1.021 * [backup-simplify]: Simplify (* 1 1) into 1 1.022 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.022 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 1.022 * [backup-simplify]: Simplify (+ 1.0 2.0) into 3.0 1.022 * [backup-simplify]: Simplify (/ 3/2 3.0) into 0.5 1.022 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) in x 1.022 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.022 * [taylor]: Taking taylor expansion of 1.0 in x 1.022 * [backup-simplify]: Simplify 1.0 into 1.0 1.023 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.023 * [taylor]: Taking taylor expansion of (cos x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))) in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [backup-simplify]: Simplify 1.0 into 1.0 1.023 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.023 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.023 * [taylor]: Taking taylor expansion of (cos x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [backup-simplify]: Simplify 1.0 into 1.0 1.023 * [taylor]: Taking taylor expansion of (cos x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (* 1 1) into 1 1.023 * [backup-simplify]: Simplify (* 1 1) into 1 1.023 * [backup-simplify]: Simplify (- 1) into -1 1.024 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.024 * [backup-simplify]: Simplify (+ 0) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.025 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.026 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.026 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.027 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.027 * [backup-simplify]: Simplify (- -3/2) into 3/2 1.027 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 1.027 * [backup-simplify]: Simplify (* 1 1) into 1 1.028 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.028 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 1.028 * [backup-simplify]: Simplify (+ 1.0 2.0) into 3.0 1.028 * [backup-simplify]: Simplify (/ 3/2 3.0) into 0.5 1.028 * [backup-simplify]: Simplify 0.5 into 0.5 1.029 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (- 0) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.031 * [backup-simplify]: Simplify (+ 0) into 0 1.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.032 * [backup-simplify]: Simplify (+ 0) into 0 1.032 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify (- (/ 0 3.0) (+ (* 0.5 (/ 0 3.0)))) into 0 1.033 * [backup-simplify]: Simplify 0 into 0 1.034 * [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 1.035 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.036 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.036 * [backup-simplify]: Simplify (- 7/8) into -7/8 1.036 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 1.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.037 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.038 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.039 * [backup-simplify]: Simplify (+ (* 1.0 -1/2) (+ (* 0 0) (* 0 1))) into (- 0.5) 1.039 * [backup-simplify]: Simplify (+ -1 (- 0.5)) into (- 1.5) 1.040 * [backup-simplify]: Simplify (+ 0 (- 1.5)) into (- 1.5) 1.045 * [backup-simplify]: Simplify (- (/ -7/8 3.0) (+ (* 0.5 (/ (- 1.5) 3.0)) (* 0 (/ 0 3.0)))) into (- 0.041666666666666685) 1.045 * [backup-simplify]: Simplify (- 0.041666666666666685) into (- 0.041666666666666685) 1.047 * [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 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 1.049 * [backup-simplify]: Simplify (- 0) into 0 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.051 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.052 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify (- (/ 0 3.0) (+ (* 0.5 (/ 0 3.0)) (* 0 (/ (- 1.5) 3.0)) (* (- 0.041666666666666685) (/ 0 3.0)))) into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.056 * [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 1.057 * [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 1.058 * [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 1.059 * [backup-simplify]: Simplify (- -61/240) into 61/240 1.059 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 1.060 * [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 1.061 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.063 * [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 1.064 * [backup-simplify]: Simplify (+ (* 1.0 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 0.041666666666666664 1.065 * [backup-simplify]: Simplify (+ 1/3 0.041666666666666664) into 0.375 1.065 * [backup-simplify]: Simplify (+ 0 0.375) into 0.375 1.070 * [backup-simplify]: Simplify (- (/ 61/240 3.0) (+ (* 0.5 (/ 0.375 3.0)) (* 0 (/ 0 3.0)) (* (- 0.041666666666666685) (/ (- 1.5) 3.0)) (* 0 (/ 0 3.0)))) into 0.00138888888888887 1.070 * [backup-simplify]: Simplify 0.00138888888888887 into 0.00138888888888887 1.070 * [backup-simplify]: Simplify (+ (* 0.00138888888888887 (pow x 6)) (+ (* (- 0.041666666666666685) (pow x 4)) (* 0.5 (pow x 2)))) into (- (+ (* 0.5 (pow x 2)) (* 0.00138888888888887 (pow x 6))) (* 0.041666666666666685 (pow x 4))) 1.071 * [backup-simplify]: Simplify (/ (- (pow 1.0 3) (pow (cos (/ 1 x)) 3)) (+ (* (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0)) (* 1.0 1.0))) into (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) 1.071 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in x 1.071 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [backup-simplify]: Simplify 1.0 into 1.0 1.071 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.071 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [backup-simplify]: Simplify (/ 1 1) into 1 1.072 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 1.072 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [backup-simplify]: Simplify 1.0 into 1.0 1.072 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (/ 1 1) into 1 1.072 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.072 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 1.072 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.072 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (/ 1 1) into 1 1.072 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [backup-simplify]: Simplify 1.0 into 1.0 1.072 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.073 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.073 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 1.073 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.073 * [backup-simplify]: Simplify (* 1.0 (cos (/ 1 x))) into (* 1.0 (cos (/ 1 x))) 1.073 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.073 * [backup-simplify]: Simplify (+ (pow (cos (/ 1 x)) 2) 1.0) into (+ (pow (cos (/ 1 x)) 2) 1.0) 1.073 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) into (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) 1.074 * [backup-simplify]: Simplify (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) into (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) 1.074 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in x 1.074 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [backup-simplify]: Simplify 1.0 into 1.0 1.074 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.074 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (/ 1 1) into 1 1.074 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 1.074 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [backup-simplify]: Simplify 1.0 into 1.0 1.074 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (/ 1 1) into 1 1.074 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.074 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 1.074 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.075 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (/ 1 1) into 1 1.075 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [backup-simplify]: Simplify 1.0 into 1.0 1.075 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.075 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.075 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 1.075 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.075 * [backup-simplify]: Simplify (* 1.0 (cos (/ 1 x))) into (* 1.0 (cos (/ 1 x))) 1.075 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.076 * [backup-simplify]: Simplify (+ (pow (cos (/ 1 x)) 2) 1.0) into (+ (pow (cos (/ 1 x)) 2) 1.0) 1.076 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) into (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) 1.076 * [backup-simplify]: Simplify (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) into (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) 1.076 * [backup-simplify]: Simplify (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) into (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) 1.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.077 * [backup-simplify]: Simplify (- 0) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ 1 x)))) into 0 1.078 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))))) into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.079 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.080 * [backup-simplify]: Simplify (- 0) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.081 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))))) into 0 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.083 * [backup-simplify]: Simplify (- 0) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))))) into 0 1.086 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.088 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.090 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))))) into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.093 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.093 * [backup-simplify]: Simplify (- 0) into 0 1.094 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.096 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.097 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))))) into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.100 * [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 1.100 * [backup-simplify]: Simplify (- 0) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.104 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) (* 0 (/ 0 (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))))) into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify (/ (- 1.0 (pow (cos (/ 1 (/ 1 x))) 3)) (+ (* 1.0 (cos (/ 1 (/ 1 x)))) (+ (pow (cos (/ 1 (/ 1 x))) 2) 1.0))) into (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) 1.106 * [backup-simplify]: Simplify (/ (- (pow 1.0 3) (pow (cos (/ 1 (- x))) 3)) (+ (* (cos (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1.0)) (* 1.0 1.0))) into (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) 1.106 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in (x) around 0 1.106 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in x 1.106 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [backup-simplify]: Simplify 1.0 into 1.0 1.106 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.106 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.106 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.106 * [taylor]: Taking taylor expansion of -1 in x 1.106 * [backup-simplify]: Simplify -1 into -1 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.106 * [backup-simplify]: Simplify (/ -1 1) into -1 1.106 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.106 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) in x 1.106 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [backup-simplify]: Simplify 1.0 into 1.0 1.106 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.106 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.106 * [taylor]: Taking taylor expansion of -1 in x 1.106 * [backup-simplify]: Simplify -1 into -1 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (/ -1 1) into -1 1.107 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.107 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) 1.0) in x 1.107 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.107 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.107 * [taylor]: Taking taylor expansion of -1 in x 1.107 * [backup-simplify]: Simplify -1 into -1 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (/ -1 1) into -1 1.107 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [backup-simplify]: Simplify 1.0 into 1.0 1.107 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.107 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.107 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 1.108 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.108 * [backup-simplify]: Simplify (* 1.0 (cos (/ -1 x))) into (* 1.0 (cos (/ -1 x))) 1.108 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.108 * [backup-simplify]: Simplify (+ (pow (cos (/ -1 x)) 2) 1.0) into (+ (pow (cos (/ -1 x)) 2) 1.0) 1.108 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) into (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)) 1.108 * [backup-simplify]: Simplify (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) into (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) 1.108 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in x 1.108 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.108 * [taylor]: Taking taylor expansion of 1.0 in x 1.108 * [backup-simplify]: Simplify 1.0 into 1.0 1.108 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.108 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.108 * [taylor]: Taking taylor expansion of -1 in x 1.109 * [backup-simplify]: Simplify -1 into -1 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 (cos (/ -1 x)) into (cos (/ -1 x)) 1.109 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) in x 1.109 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) 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 (cos (/ -1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.109 * [taylor]: Taking taylor expansion of -1 in x 1.109 * [backup-simplify]: Simplify -1 into -1 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 (cos (/ -1 x)) into (cos (/ -1 x)) 1.109 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) 1.0) in x 1.109 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.109 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.109 * [taylor]: Taking taylor expansion of -1 in x 1.109 * [backup-simplify]: Simplify -1 into -1 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 1.110 * [backup-simplify]: Simplify (/ -1 1) into -1 1.110 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [backup-simplify]: Simplify 1.0 into 1.0 1.110 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.110 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.110 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 1.110 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.110 * [backup-simplify]: Simplify (* 1.0 (cos (/ -1 x))) into (* 1.0 (cos (/ -1 x))) 1.110 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.111 * [backup-simplify]: Simplify (+ (pow (cos (/ -1 x)) 2) 1.0) into (+ (pow (cos (/ -1 x)) 2) 1.0) 1.111 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) into (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)) 1.111 * [backup-simplify]: Simplify (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) into (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) 1.111 * [backup-simplify]: Simplify (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) into (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) 1.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.112 * [backup-simplify]: Simplify (- 0) into 0 1.112 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ -1 x)))) into 0 1.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))))) into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.114 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.114 * [backup-simplify]: Simplify (- 0) into 0 1.115 * [backup-simplify]: Simplify (+ 0 0) into 0 1.115 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.116 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))))) into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.118 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.118 * [backup-simplify]: Simplify (- 0) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.120 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))))) into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.123 * [backup-simplify]: Simplify (- 0) into 0 1.123 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.125 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))))) into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.128 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.128 * [backup-simplify]: Simplify (- 0) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.130 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))))) into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.137 * [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 1.138 * [backup-simplify]: Simplify (- 0) into 0 1.138 * [backup-simplify]: Simplify (+ 0 0) into 0 1.139 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) 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 1.140 * [backup-simplify]: Simplify (+ 0 0) into 0 1.141 * [backup-simplify]: Simplify (+ 0 0) into 0 1.142 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)))))) into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (/ (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 3)) (+ (pow (cos (/ -1 (/ 1 (- x)))) 2) (+ (* 1.0 (cos (/ -1 (/ 1 (- x))))) 1.0))) into (/ (- 1.0 (pow (cos x) 3)) (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0))) 1.143 * * * [progress]: simplifying candidates 1.146 * [simplify]: Simplifying: (/ (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 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(* h1 h1)))) (* (+ (* (cos h0) (+ (cos h0) h1)) (* h1 h1)) (+ (* (pow h1 3) (pow h1 3)) (+ (* (pow (cos h0) 3) (pow (cos h0) 3)) (* (pow h1 3) (pow (cos h0) 3))))) (* (+ (* (cos h0) (+ (cos h0) h1)) (* h1 h1)) (+ (pow h1 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)) (- (+ (* 7/8 (pow h0 4)) 1) (* 3/2 (pow h0 2))) (pow (cos h0) 3) (pow (cos h0) 3) (- (+ (* 1/24 (pow h0 4)) h2) (* 1/2 (pow h0 2))) (+ h1 (cos h0)) (+ h1 (cos h0)) (- (+ (* h5 (pow h0 2)) (* h4 (pow h0 6))) (* h3 (pow h0 4))) (/ (- h1 (pow (cos h0) 3)) (+ h1 (+ (pow (cos h0) 2) (* h1 (cos h0))))) (/ (- h1 (pow (cos h0) 3)) (+ (pow (cos h0) 2) (+ (* h1 (cos h0)) h1))) 1.157 * * [simplify]: iteration 0 : 617 enodes (cost 2953 ) 1.169 * * [simplify]: iteration 1 : 2699 enodes (cost 2889 ) 1.222 * * [simplify]: iteration 2 : 5001 enodes (cost 2810 ) 1.233 * * * [progress]: adding candidates to table 1.632 * * [progress]: iteration 4 / 4 1.632 * * * [progress]: picking best candidate 1.671 * * * * [pick]: Picked # 1.671 * * * [progress]: localizing error 1.691 * * * [progress]: generating rewritten candidates 1.691 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.731 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.739 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1 1) 1.742 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) 1.751 * * * [progress]: generating series expansions 1.751 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.751 * [backup-simplify]: Simplify (- (pow 1.0 3) (log (exp (pow (cos x) 3)))) into (- 1.0 (pow (cos x) 3)) 1.751 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.751 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.751 * [taylor]: Taking taylor expansion of 1.0 in x 1.751 * [backup-simplify]: Simplify 1.0 into 1.0 1.752 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.752 * [taylor]: Taking taylor expansion of (cos x) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.752 * [taylor]: Taking taylor expansion of 1.0 in x 1.752 * [backup-simplify]: Simplify 1.0 into 1.0 1.752 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.752 * [taylor]: Taking taylor expansion of (cos x) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (* 1 1) into 1 1.752 * [backup-simplify]: Simplify (* 1 1) into 1 1.753 * [backup-simplify]: Simplify (- 1) into -1 1.753 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (+ 0) into 0 1.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.754 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.755 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.756 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.756 * [backup-simplify]: Simplify (- -3/2) into 3/2 1.756 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 1.756 * [backup-simplify]: Simplify 3/2 into 3/2 1.757 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (- 0) into 0 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [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 1.761 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.762 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.762 * [backup-simplify]: Simplify (- 7/8) into -7/8 1.762 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 1.762 * [backup-simplify]: Simplify -7/8 into -7/8 1.763 * [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 1.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 1.766 * [backup-simplify]: Simplify (- 0) into 0 1.766 * [backup-simplify]: Simplify (+ 0 0) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.768 * [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 1.769 * [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 1.771 * [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 1.771 * [backup-simplify]: Simplify (- -61/240) into 61/240 1.771 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 1.771 * [backup-simplify]: Simplify 61/240 into 61/240 1.772 * [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))) 1.772 * [backup-simplify]: Simplify (- (pow 1.0 3) (log (exp (pow (cos (/ 1 x)) 3)))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.772 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.772 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.772 * [taylor]: Taking taylor expansion of 1.0 in x 1.772 * [backup-simplify]: Simplify 1.0 into 1.0 1.772 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.772 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (/ 1 1) into 1 1.773 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.773 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.773 * [taylor]: Taking taylor expansion of 1.0 in x 1.773 * [backup-simplify]: Simplify 1.0 into 1.0 1.773 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.773 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.773 * [taylor]: Taking taylor expansion of x in x 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (/ 1 1) into 1 1.773 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.773 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.773 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.773 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 1.774 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.774 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.774 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) 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 1.775 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.775 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.775 * [backup-simplify]: Simplify (- 0) into 0 1.776 * [backup-simplify]: Simplify (+ 0 0) into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.777 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.777 * [backup-simplify]: Simplify (- 0) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.778 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.779 * [backup-simplify]: Simplify (- 0) into 0 1.779 * [backup-simplify]: Simplify (+ 0 0) into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.781 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.781 * [backup-simplify]: Simplify (- 0) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.783 * [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 1.784 * [backup-simplify]: Simplify (- 0) into 0 1.784 * [backup-simplify]: Simplify (+ 0 0) into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 (/ 1 x))) 3)) into (- 1.0 (pow (cos x) 3)) 1.784 * [backup-simplify]: Simplify (- (pow 1.0 3) (log (exp (pow (cos (/ 1 (- x))) 3)))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.785 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.785 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.785 * [taylor]: Taking taylor expansion of 1.0 in x 1.785 * [backup-simplify]: Simplify 1.0 into 1.0 1.785 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.785 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.785 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.785 * [taylor]: Taking taylor expansion of -1 in x 1.785 * [backup-simplify]: Simplify -1 into -1 1.785 * [taylor]: Taking taylor expansion of x in x 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (/ -1 1) into -1 1.785 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.785 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.785 * [taylor]: Taking taylor expansion of 1.0 in x 1.785 * [backup-simplify]: Simplify 1.0 into 1.0 1.785 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.785 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.785 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.785 * [taylor]: Taking taylor expansion of -1 in x 1.785 * [backup-simplify]: Simplify -1 into -1 1.785 * [taylor]: Taking taylor expansion of x in x 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (/ -1 1) into -1 1.786 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.786 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.786 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.786 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 1.786 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.786 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 x)) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.786 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.788 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.788 * [backup-simplify]: Simplify (- 0) into 0 1.788 * [backup-simplify]: Simplify (+ 0 0) into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.789 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.789 * [backup-simplify]: Simplify (- 0) into 0 1.790 * [backup-simplify]: Simplify (+ 0 0) into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.791 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.791 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.796 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 1.798 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.799 * [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 1.799 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 3)) into (- 1.0 (pow (cos x) 3)) 1.799 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.800 * [backup-simplify]: Simplify (log (exp (pow (cos x) 3))) into (pow (cos x) 3) 1.800 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.800 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.800 * [taylor]: Taking taylor expansion of (cos x) in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.800 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.800 * [taylor]: Taking taylor expansion of (cos x) in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.800 * [backup-simplify]: Simplify (* 1 1) into 1 1.800 * [backup-simplify]: Simplify (* 1 1) into 1 1.800 * [backup-simplify]: Simplify 1 into 1 1.800 * [backup-simplify]: Simplify (+ 0) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.801 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.802 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.803 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.803 * [backup-simplify]: Simplify -3/2 into -3/2 1.804 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.805 * [backup-simplify]: Simplify 0 into 0 1.806 * [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 1.807 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.808 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.808 * [backup-simplify]: Simplify 7/8 into 7/8 1.808 * [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))) 1.808 * [backup-simplify]: Simplify (log (exp (pow (cos (/ 1 x)) 3))) into (pow (cos (/ 1 x)) 3) 1.808 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.808 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.808 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (/ 1 1) into 1 1.809 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.809 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.809 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (/ 1 1) into 1 1.809 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.809 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.809 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.809 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 1.810 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.810 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.810 * [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 1.811 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.812 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) 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 (+ (* (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 1.815 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.817 * [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 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 3) into (pow (cos x) 3) 1.817 * [backup-simplify]: Simplify (log (exp (pow (cos (/ 1 (- x))) 3))) into (pow (cos (/ -1 x)) 3) 1.817 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.817 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.817 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.817 * [taylor]: Taking taylor expansion of -1 in x 1.818 * [backup-simplify]: Simplify -1 into -1 1.818 * [taylor]: Taking taylor expansion of x in x 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (/ -1 1) into -1 1.818 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.818 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.818 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.818 * [taylor]: Taking taylor expansion of -1 in x 1.818 * [backup-simplify]: Simplify -1 into -1 1.818 * [taylor]: Taking taylor expansion of x in x 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (/ -1 1) into -1 1.818 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.818 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.819 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.819 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 3) into (pow (cos (/ -1 x)) 3) 1.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.820 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.821 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.822 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.824 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.826 * [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 1.826 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 3) into (pow (cos x) 3) 1.827 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1 1) 1.827 * [backup-simplify]: Simplify (pow (cos x) 3) into (pow (cos x) 3) 1.827 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.827 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.827 * [taylor]: Taking taylor expansion of (cos x) in x 1.827 * [taylor]: Taking taylor expansion of x in x 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.827 * [taylor]: Taking taylor expansion of (cos x) in x 1.827 * [taylor]: Taking taylor expansion of x in x 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (* 1 1) into 1 1.827 * [backup-simplify]: Simplify (* 1 1) into 1 1.827 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (+ 0) into 0 1.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.829 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.830 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.830 * [backup-simplify]: Simplify -3/2 into -3/2 1.831 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.833 * [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 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.835 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.835 * [backup-simplify]: Simplify 7/8 into 7/8 1.835 * [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))) 1.836 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 1.836 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.836 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) 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 (pow (cos (/ 1 x)) 3) 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 1.837 * [backup-simplify]: Simplify (cos (/ 1 x)) into (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 (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.837 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 1.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.838 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 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 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.840 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 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 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.842 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.845 * [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 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 3) into (pow (cos x) 3) 1.845 * [backup-simplify]: Simplify (pow (cos (/ 1 (- x))) 3) into (pow (cos (/ -1 x)) 3) 1.845 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.845 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.845 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.845 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.845 * [taylor]: Taking taylor expansion of -1 in x 1.845 * [backup-simplify]: Simplify -1 into -1 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (/ -1 1) into -1 1.845 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.845 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.845 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.845 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.845 * [taylor]: Taking taylor expansion of -1 in x 1.845 * [backup-simplify]: Simplify -1 into -1 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.846 * [backup-simplify]: Simplify (/ -1 1) into -1 1.846 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.846 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.846 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.846 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 3) into (pow (cos (/ -1 x)) 3) 1.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.847 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.847 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.848 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.848 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.850 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.850 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.852 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.854 * [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 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 3) into (pow (cos x) 3) 1.854 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2) 1.854 * [backup-simplify]: Simplify (+ (cos x) 1.0) into (+ 1.0 (cos x)) 1.854 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 1.854 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.854 * [taylor]: Taking taylor expansion of 1.0 in x 1.854 * [backup-simplify]: Simplify 1.0 into 1.0 1.854 * [taylor]: Taking taylor expansion of (cos x) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.854 * [taylor]: Taking taylor expansion of 1.0 in x 1.854 * [backup-simplify]: Simplify 1.0 into 1.0 1.854 * [taylor]: Taking taylor expansion of (cos x) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (+ 1.0 1) into 2.0 1.855 * [backup-simplify]: Simplify 2.0 into 2.0 1.855 * [backup-simplify]: Simplify (+ 0) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.856 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.856 * [backup-simplify]: Simplify -1/2 into -1/2 1.856 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.858 * [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 1.858 * [backup-simplify]: Simplify (+ 0 1/24) into 1/24 1.858 * [backup-simplify]: Simplify 1/24 into 1/24 1.859 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2.0)) into (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) 1.859 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 1.859 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.859 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.859 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.859 * [taylor]: Taking taylor expansion of 1.0 in x 1.859 * [backup-simplify]: Simplify 1.0 into 1.0 1.859 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.859 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.859 * [taylor]: Taking taylor expansion of 1.0 in x 1.859 * [backup-simplify]: Simplify 1.0 into 1.0 1.860 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 1.860 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1.0) into (+ 1.0 (cos x)) 1.861 * [backup-simplify]: Simplify (+ (cos (/ 1 (- x))) 1.0) into (+ (cos (/ -1 x)) 1.0) 1.861 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.861 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.861 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.861 * [taylor]: Taking taylor expansion of -1 in x 1.861 * [backup-simplify]: Simplify -1 into -1 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (/ -1 1) into -1 1.862 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [backup-simplify]: Simplify 1.0 into 1.0 1.862 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.862 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.862 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.862 * [taylor]: Taking taylor expansion of -1 in x 1.862 * [backup-simplify]: Simplify -1 into -1 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (/ -1 1) into -1 1.862 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [backup-simplify]: Simplify 1.0 into 1.0 1.862 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 1.862 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1.0) into (+ 1.0 (cos x)) 1.864 * * * [progress]: simplifying candidates 1.865 * [simplify]: Simplifying: (/ (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)))) (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)))) (* (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)) (* (exp (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 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)) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) 1.865 * [simplify]: Sending expressions to egg_math: (/ (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)))) (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)))) (* (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)) (* (exp (cos h0)) (exp h1)) (log (+ (cos h0) h1)) (exp (+ (cos h0) h1)) (* (cbrt (+ (cos h0) h1)) (cbrt (+ (cos h0) h1))) (cbrt (+ (cos h0) h1)) (* (* (+ (cos h0) h1) (+ (cos h0) h1)) (+ (cos h0) h1)) (sqrt (+ (cos h0) h1)) (sqrt (+ (cos h0) h1)) (+ (pow (cos h0) 3) (pow h1 3)) (+ (* (cos h0) (cos h0)) (- (* h1 h1) (* (cos h0) h1))) (- (* (cos h0) (cos h0)) (* h1 h1)) (- (cos h0) h1) (+ (cos h0) h1) (- (+ (* 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)) (- (+ (* 7/8 (pow h0 4)) 1) (* 3/2 (pow h0 2))) (pow (cos h0) 3) (pow (cos h0) 3) (- (+ (* 7/8 (pow h0 4)) 1) (* 3/2 (pow h0 2))) (pow (cos h0) 3) (pow (cos h0) 3) (- (+ (* 1/24 (pow h0 4)) h2) (* 1/2 (pow h0 2))) (+ h1 (cos h0)) (+ h1 (cos h0)) 1.870 * * [simplify]: iteration 0 : 296 enodes (cost 446 ) 1.875 * * [simplify]: iteration 1 : 1109 enodes (cost 381 ) 1.901 * * [simplify]: iteration 2 : 5001 enodes (cost 373 ) 1.903 * * * [progress]: adding candidates to table 2.148 * [progress]: [Phase 3 of 3] Extracting. 2.148 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.153 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.153 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.222 * * * [regime]: Found split indices: #