11.635 * [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) 0.092 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.100 * * * [progress]: generating series expansions 0.100 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.100 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.100 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.100 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [backup-simplify]: Simplify 1.0 into 1.0 0.101 * [taylor]: Taking taylor expansion of (cos x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (- 1) into -1 0.101 * [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 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [taylor]: Taking taylor expansion of (cos x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (- 1) into -1 0.105 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.105 * [backup-simplify]: Simplify (+ 0) into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.106 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.106 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.107 * [backup-simplify]: Simplify 1/2 into 1/2 0.108 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [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 0.110 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.111 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.112 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.112 * [backup-simplify]: Simplify -1/24 into -1/24 0.113 * [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 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.117 * [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 0.117 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.117 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.123 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.123 * [backup-simplify]: Simplify 1/720 into 1/720 0.123 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.124 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.124 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.124 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.124 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [backup-simplify]: Simplify 1.0 into 1.0 0.125 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.125 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.125 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.126 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 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 1))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.137 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.137 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.137 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.137 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.137 * [taylor]: Taking taylor expansion of -1 in x 0.137 * [backup-simplify]: Simplify -1 into -1 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ -1 1) into -1 0.137 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.138 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.138 * [taylor]: Taking taylor expansion of -1 in x 0.138 * [backup-simplify]: Simplify -1 into -1 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ -1 1) into -1 0.138 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.138 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.139 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 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 1)))) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.148 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.148 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.148 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.148 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [taylor]: Taking taylor expansion of (cos x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [taylor]: Taking taylor expansion of (cos x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (- 1) into -1 0.149 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ 0) into 0 0.149 * [backup-simplify]: Simplify (- 0) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.150 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.150 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.150 * [backup-simplify]: Simplify 1/2 into 1/2 0.151 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.151 * [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 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.153 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.153 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.153 * [backup-simplify]: Simplify -1/24 into -1/24 0.154 * [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 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.157 * [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 0.158 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.158 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.158 * [backup-simplify]: Simplify 1/720 into 1/720 0.158 * [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))) 0.158 * [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 x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [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 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.159 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [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))) 0.160 * [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 0.160 * [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 (- 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 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.162 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [backup-simplify]: Simplify -1 into -1 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ -1 1) into -1 0.163 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.163 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.163 * [taylor]: Taking taylor expansion of -1 in x 0.163 * [backup-simplify]: Simplify -1 into -1 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ -1 1) into -1 0.163 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.163 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.163 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.163 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.166 * * * [progress]: simplifying candidates 0.167 * [simplify]: Simplifying: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (- (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))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 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)) 0.167 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- h1 (cos h0)) (* h0 h0))) (log1p (/ (- h1 (cos h0)) (* h0 h0))) (- (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))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (fma (sqrt h1) (sqrt h1) (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma (sqrt h1) (sqrt h1) (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma (sqrt h1) (sqrt h1) (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (fma 1 h1 (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma 1 h1 (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma 1 h1 (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (expm1 (- h1 (cos h0))) (log1p (- h1 (cos h0))) (- (cos h0)) (- (cos h0)) (- (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)) 0.171 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.176 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.195 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.197 * * * [progress]: adding candidates to table 0.312 * * [progress]: iteration 2 / 4 0.312 * * * [progress]: picking best candidate 0.328 * * * * [pick]: Picked # 0.328 * * * [progress]: localizing error 0.336 * * * [progress]: generating rewritten candidates 0.336 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.347 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.364 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.405 * * * [progress]: generating series expansions 0.405 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.405 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.405 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [backup-simplify]: Simplify 1.0 into 1.0 0.406 * [taylor]: Taking taylor expansion of (cos x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [backup-simplify]: Simplify 1.0 into 1.0 0.406 * [taylor]: Taking taylor expansion of (cos x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (- 1) into -1 0.407 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ 0) into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.408 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.409 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.409 * [backup-simplify]: Simplify 1/2 into 1/2 0.409 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [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 0.411 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.411 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.411 * [backup-simplify]: Simplify -1/24 into -1/24 0.413 * [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 0.413 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.415 * [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 0.416 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.416 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.416 * [backup-simplify]: Simplify 1/720 into 1/720 0.416 * [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))) 0.416 * [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 x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.417 * [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 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [backup-simplify]: Simplify 1.0 into 1.0 0.417 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [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))) 0.418 * [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 (- 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 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.420 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.420 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 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 (/ -1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.420 * [taylor]: Taking taylor expansion of -1 in x 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 0.421 * [backup-simplify]: Simplify (/ -1 1) into -1 0.421 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [backup-simplify]: Simplify 1.0 into 1.0 0.421 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ -1 1) into -1 0.421 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.421 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.421 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.421 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.424 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.424 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 0.424 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.424 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.424 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [backup-simplify]: Simplify 1.0 into 1.0 0.424 * [taylor]: Taking taylor expansion of (cos x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of x in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (- 1) into -1 0.425 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.425 * [backup-simplify]: Simplify (+ 0) into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.426 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.427 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.427 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.427 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [backup-simplify]: Simplify 1.0 into 1.0 0.427 * [taylor]: Taking taylor expansion of (cos x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (- 1) into -1 0.427 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.428 * [backup-simplify]: Simplify (+ 0) into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.429 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.429 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.429 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.429 * [backup-simplify]: Simplify 1/2 into 1/2 0.430 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.430 * [backup-simplify]: Simplify (- 0) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [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 0.432 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.433 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.433 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.433 * [backup-simplify]: Simplify -1/24 into -1/24 0.435 * [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 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.438 * [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 0.438 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.438 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.439 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.439 * [backup-simplify]: Simplify 1/720 into 1/720 0.440 * [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))) 0.440 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 0.440 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [backup-simplify]: Simplify 1.0 into 1.0 0.440 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.440 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [backup-simplify]: Simplify 1.0 into 1.0 0.440 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.441 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.441 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.441 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 0.442 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.442 * [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 (- 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 (- 1.0 (cos (/ 1 x))))))) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) 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 0.450 * [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 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 0.451 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 0.451 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [backup-simplify]: Simplify -1 into -1 0.451 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.451 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [backup-simplify]: Simplify 1.0 into 1.0 0.451 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [backup-simplify]: Simplify -1 into -1 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ -1 1) into -1 0.451 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [backup-simplify]: Simplify -1 into -1 0.451 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.451 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [backup-simplify]: Simplify 1.0 into 1.0 0.451 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [backup-simplify]: Simplify -1 into -1 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ -1 1) into -1 0.452 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.452 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.452 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 0.452 * [backup-simplify]: Simplify (* -1 0) into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [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))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 0.453 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 0.453 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 0.455 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* -1 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 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.458 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.460 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.463 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [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 0.466 * [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 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 0.466 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.466 * [backup-simplify]: Simplify (* (/ 1 x) (/ (- 1.0 (cos x)) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.466 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.466 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [backup-simplify]: Simplify 1.0 into 1.0 0.466 * [taylor]: Taking taylor expansion of (cos x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (- 1) into -1 0.467 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.467 * [backup-simplify]: Simplify (+ 0) into 0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.468 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.468 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.469 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [backup-simplify]: Simplify 1.0 into 1.0 0.469 * [taylor]: Taking taylor expansion of (cos x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (- 1) into -1 0.469 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.470 * [backup-simplify]: Simplify (+ 0) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.471 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.471 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.472 * [backup-simplify]: Simplify 1/2 into 1/2 0.472 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.475 * [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 0.475 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.475 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.476 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.476 * [backup-simplify]: Simplify -1/24 into -1/24 0.477 * [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 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.487 * [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 0.487 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.487 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.489 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.489 * [backup-simplify]: Simplify 1/720 into 1/720 0.489 * [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))) 0.489 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (/ (- 1.0 (cos (/ 1 x))) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.489 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.489 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [backup-simplify]: Simplify 1.0 into 1.0 0.489 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.490 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [backup-simplify]: Simplify 1.0 into 1.0 0.490 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.491 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.491 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.491 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 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 1)) into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 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 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 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 (- 0) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.502 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.502 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [backup-simplify]: Simplify 1.0 into 1.0 0.502 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [backup-simplify]: Simplify -1 into -1 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (/ -1 1) into -1 0.502 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [backup-simplify]: Simplify 1.0 into 1.0 0.502 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [backup-simplify]: Simplify -1 into -1 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (/ -1 1) into -1 0.503 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.503 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.503 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.504 * [backup-simplify]: Simplify (+ (* 1 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 1)) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- 0) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.508 * [backup-simplify]: Simplify (- 0) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.512 * [backup-simplify]: Simplify (- 0) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.513 * * * [progress]: simplifying candidates 0.515 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (expm1 (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (log1p (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (- (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos x)) x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 0.515 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (fma (sqrt h1) (sqrt h1) (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma (sqrt h1) (sqrt h1) (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma (sqrt h1) (sqrt h1) (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (fma 1 h1 (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma 1 h1 (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma 1 h1 (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (expm1 (- h1 (cos h0))) (log1p (- h1 (cos h0))) (- (cos h0)) (- (cos h0)) (- (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)) (expm1 (/ (- h1 (cos h0)) h0)) (log1p (/ (- h1 (cos h0)) h0)) (- (log (- h1 (cos h0))) (log h0)) (log (/ (- h1 (cos h0)) h0)) (exp (/ (- h1 (cos h0)) h0)) (/ (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (* (* h0 h0) h0)) (* (cbrt (/ (- h1 (cos h0)) h0)) (cbrt (/ (- h1 (cos h0)) h0))) (cbrt (/ (- h1 (cos h0)) h0)) (* (* (/ (- h1 (cos h0)) h0) (/ (- h1 (cos h0)) h0)) (/ (- h1 (cos h0)) h0)) (sqrt (/ (- h1 (cos h0)) h0)) (sqrt (/ (- h1 (cos h0)) h0)) (- (- h1 (cos h0))) (- h0) (/ h1 h0) (/ (cos h0) h0) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (- h1 (cos h0))) (cbrt h0)) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (sqrt h0)) (/ (cbrt (- h1 (cos h0))) (sqrt h0)) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) 1) (/ (cbrt (- h1 (cos h0))) h0) (/ (sqrt (- h1 (cos h0))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- h1 (cos h0))) (cbrt h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0)) (/ (sqrt (- h1 (cos h0))) 1) (/ (sqrt (- h1 (cos h0))) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (- h1 (cos h0)) (cbrt h0)) (/ 1 (sqrt h0)) (/ (- h1 (cos h0)) (sqrt h0)) (/ 1 1) (/ (- h1 (cos h0)) h0) (/ (+ (sqrt h1) (sqrt (cos h0))) (* (cbrt h0) (cbrt h0))) (/ (- (sqrt h1) (sqrt (cos h0))) (cbrt h0)) (/ (+ (sqrt h1) (sqrt (cos h0))) (sqrt h0)) (/ (- (sqrt h1) (sqrt (cos h0))) (sqrt h0)) (/ (+ (sqrt h1) (sqrt (cos h0))) 1) (/ (- (sqrt h1) (sqrt (cos h0))) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (- h1 (cos h0)) (cbrt h0)) (/ 1 (sqrt h0)) (/ (- h1 (cos h0)) (sqrt h0)) (/ 1 1) (/ (- h1 (cos h0)) h0) (/ 1 h0) (/ h0 (- h1 (cos h0))) (/ (- h1 (cos h0)) (* (cbrt h0) (cbrt h0))) (/ (- h1 (cos h0)) (sqrt h0)) (/ (- h1 (cos h0)) 1) (/ h0 (cbrt (- h1 (cos h0)))) (/ h0 (sqrt (- h1 (cos h0)))) (/ h0 (- h1 (cos h0))) (/ h0 (- (sqrt h1) (sqrt (cos h0)))) (/ h0 (- h1 (cos h0))) (* h0 (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0))))) (* h0 (+ h1 (cos h0))) (expm1 (* (/ 1 h0) (/ (- h1 (cos h0)) h0))) (log1p (* (/ 1 h0) (/ (- h1 (cos h0)) h0))) (* (/ 1 h0) (/ (- h1 (cos h0)) h0)) (+ (- (log h0)) (- (log (- h1 (cos h0))) (log h0))) (+ (- (log h0)) (log (/ (- h1 (cos h0)) h0))) (+ (- 0 (log h0)) (- (log (- h1 (cos h0))) (log h0))) (+ (- 0 (log h0)) (log (/ (- h1 (cos h0)) h0))) (+ (- (log 1) (log h0)) (- (log (- h1 (cos h0))) (log h0))) (+ (- (log 1) (log h0)) (log (/ (- h1 (cos h0)) h0))) (+ (log (/ 1 h0)) (- (log (- h1 (cos h0))) (log h0))) (+ (log (/ 1 h0)) (log (/ (- h1 (cos h0)) h0))) (log (* (/ 1 h0) (/ (- h1 (cos h0)) h0))) (exp (* (/ 1 h0) (/ (- h1 (cos h0)) h0))) (* (/ (* (* 1 1) 1) (* (* h0 h0) h0)) (/ (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (* (* h0 h0) h0))) (* (/ (* (* 1 1) 1) (* (* h0 h0) h0)) (* (* (/ (- h1 (cos h0)) h0) (/ (- h1 (cos h0)) h0)) (/ (- h1 (cos h0)) h0))) (* (* (* (/ 1 h0) (/ 1 h0)) (/ 1 h0)) (/ (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (* (* h0 h0) h0))) (* (* (* (/ 1 h0) (/ 1 h0)) (/ 1 h0)) (* (* (/ (- h1 (cos h0)) h0) (/ (- h1 (cos h0)) h0)) (/ (- h1 (cos h0)) h0))) (* (cbrt (* (/ 1 h0) (/ (- h1 (cos h0)) h0))) (cbrt (* (/ 1 h0) (/ (- h1 (cos h0)) h0)))) (cbrt (* (/ 1 h0) (/ (- h1 (cos h0)) h0))) (* (* (* (/ 1 h0) (/ (- h1 (cos h0)) h0)) (* (/ 1 h0) (/ (- h1 (cos h0)) h0))) (* (/ 1 h0) (/ (- h1 (cos h0)) h0))) (sqrt (* (/ 1 h0) (/ (- h1 (cos h0)) h0))) (sqrt (* (/ 1 h0) (/ (- h1 (cos h0)) h0))) (* 1 (- h1 (cos h0))) (* h0 h0) (* (sqrt (/ 1 h0)) (sqrt (/ (- h1 (cos h0)) h0))) (* (sqrt (/ 1 h0)) (sqrt (/ (- h1 (cos h0)) h0))) (* (sqrt (/ 1 h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0))) (* (sqrt (/ 1 h0)) (/ (sqrt (- h1 (cos h0))) (sqrt h0))) (* (/ (sqrt 1) (sqrt h0)) (sqrt (/ (- h1 (cos h0)) h0))) (* (/ (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)) 0.521 * * [simplify]: iteration 0 : 582 enodes (cost 999 ) 0.532 * * [simplify]: iteration 1 : 2640 enodes (cost 823 ) 0.579 * * [simplify]: iteration 2 : 5001 enodes (cost 787 ) 0.584 * * * [progress]: adding candidates to table 0.811 * * [progress]: iteration 3 / 4 0.811 * * * [progress]: picking best candidate 0.828 * * * * [pick]: Picked # 0.828 * * * [progress]: localizing error 0.843 * * * [progress]: generating rewritten candidates 0.843 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.875 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.879 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.886 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.979 * * * [progress]: generating series expansions 0.979 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.980 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos x) 3)) into (- 1.0 (pow (cos x) 3)) 0.980 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 0.980 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.980 * [backup-simplify]: Simplify 1.0 into 1.0 0.980 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.980 * [taylor]: Taking taylor expansion of (cos x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.980 * [backup-simplify]: Simplify 1.0 into 1.0 0.980 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.980 * [taylor]: Taking taylor expansion of (cos x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (* 1 1) into 1 0.981 * [backup-simplify]: Simplify (* 1 1) into 1 0.981 * [backup-simplify]: Simplify (- 1) into -1 0.981 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify (+ 0) into 0 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.982 * [backup-simplify]: Simplify (- 0) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.984 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 0.984 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 0.984 * [backup-simplify]: Simplify (- -3/2) into 3/2 0.985 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 0.985 * [backup-simplify]: Simplify 3/2 into 3/2 0.985 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (- 0) into 0 0.987 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [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 0.989 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 0.990 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 0.990 * [backup-simplify]: Simplify (- 7/8) into -7/8 0.990 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 0.990 * [backup-simplify]: Simplify -7/8 into -7/8 0.992 * [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 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 0.994 * [backup-simplify]: Simplify (- 0) into 0 0.994 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.997 * [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 0.998 * [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 0.999 * [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 0.999 * [backup-simplify]: Simplify (- -61/240) into 61/240 1.000 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 1.000 * [backup-simplify]: Simplify 61/240 into 61/240 1.000 * [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))) 1.000 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.000 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.000 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.000 * [taylor]: Taking taylor expansion of 1.0 in x 1.000 * [backup-simplify]: Simplify 1.0 into 1.0 1.000 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.001 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [backup-simplify]: Simplify 1.0 into 1.0 1.001 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.001 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.001 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.002 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.002 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 1.002 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.002 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.002 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.002 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.002 * [backup-simplify]: Simplify (- 0) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.003 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.004 * [backup-simplify]: Simplify (- 0) into 0 1.004 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 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 (pow (cos (/ 1 x)) 2))))) into 0 1.005 * [backup-simplify]: Simplify (- 0) into 0 1.005 * [backup-simplify]: Simplify (+ 0 0) into 0 1.005 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.007 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.007 * [backup-simplify]: Simplify (- 0) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.009 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.009 * [backup-simplify]: Simplify (- 0) into 0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.012 * [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 1.012 * [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 (- 1.0 (pow (cos (/ 1 (/ 1 x))) 3)) into (- 1.0 (pow (cos x) 3)) 1.013 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos (/ 1 (- x))) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.013 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.013 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in 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 (pow (cos (/ -1 x)) 3) 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 (pow (cos (/ -1 x)) 3)) in 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 (pow (cos (/ -1 x)) 3) 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 1.014 * [backup-simplify]: Simplify (/ -1 1) into -1 1.014 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.014 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.014 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.014 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 1.014 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.014 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 x)) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) 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 (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.016 * [backup-simplify]: Simplify (- 0) into 0 1.016 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.018 * [backup-simplify]: Simplify (- 0) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.019 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.019 * [backup-simplify]: Simplify (- 0) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.022 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.022 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.024 * [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 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 3)) into (- 1.0 (pow (cos x) 3)) 1.025 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.025 * [backup-simplify]: Simplify (pow (cos x) 3) into (pow (cos x) 3) 1.025 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.025 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.025 * [taylor]: Taking taylor expansion of (cos x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.025 * [taylor]: Taking taylor expansion of (cos x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [backup-simplify]: Simplify (* 1 1) into 1 1.026 * [backup-simplify]: Simplify (* 1 1) into 1 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (+ 0) into 0 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.028 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.028 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.028 * [backup-simplify]: Simplify -3/2 into -3/2 1.029 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.029 * [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 1.030 * [backup-simplify]: Simplify 0 into 0 1.031 * [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 1.032 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.033 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.033 * [backup-simplify]: Simplify 7/8 into 7/8 1.033 * [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))) 1.033 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 1.033 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.034 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.034 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (/ 1 1) into 1 1.034 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.034 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.034 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (/ 1 1) into 1 1.034 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.034 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.034 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.035 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 1.035 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.035 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.035 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.041 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.042 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.044 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.044 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.046 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.048 * [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 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 3) into (pow (cos x) 3) 1.048 * [backup-simplify]: Simplify (pow (cos (/ 1 (- x))) 3) into (pow (cos (/ -1 x)) 3) 1.048 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.048 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.048 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.048 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [backup-simplify]: Simplify -1 into -1 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify (/ -1 1) into -1 1.049 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.049 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.049 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.049 * [taylor]: Taking taylor expansion of -1 in x 1.049 * [backup-simplify]: Simplify -1 into -1 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify (/ -1 1) into -1 1.049 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.049 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.049 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.050 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 3) into (pow (cos (/ -1 x)) 3) 1.050 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.050 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.051 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.052 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.057 * [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 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 3) into (pow (cos x) 3) 1.057 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 1.057 * [backup-simplify]: Simplify (+ 1.0 (cos x)) into (+ (cos x) 1.0) 1.057 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 1.058 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.058 * [taylor]: Taking taylor expansion of (cos x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [taylor]: Taking taylor expansion of 1.0 in x 1.058 * [backup-simplify]: Simplify 1.0 into 1.0 1.058 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.058 * [taylor]: Taking taylor expansion of (cos x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [taylor]: Taking taylor expansion of 1.0 in x 1.058 * [backup-simplify]: Simplify 1.0 into 1.0 1.058 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 1.058 * [backup-simplify]: Simplify 2.0 into 2.0 1.058 * [backup-simplify]: Simplify (+ 0) into 0 1.058 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.059 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.059 * [backup-simplify]: Simplify -1/2 into -1/2 1.060 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.062 * [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 1.062 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.062 * [backup-simplify]: Simplify 1/24 into 1/24 1.062 * [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))) 1.062 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1.0) 1.062 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.062 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.062 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 1 into 1 1.062 * [backup-simplify]: Simplify (/ 1 1) into 1 1.062 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.063 * [taylor]: Taking taylor expansion of 1.0 in x 1.063 * [backup-simplify]: Simplify 1.0 into 1.0 1.063 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.063 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (/ 1 1) into 1 1.063 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.063 * [taylor]: Taking taylor expansion of 1.0 in x 1.063 * [backup-simplify]: Simplify 1.0 into 1.0 1.063 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 1.063 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1.0) into (+ 1.0 (cos x)) 1.065 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1.0) 1.065 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.065 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.065 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.065 * [taylor]: Taking taylor expansion of -1 in x 1.065 * [backup-simplify]: Simplify -1 into -1 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [backup-simplify]: Simplify (/ -1 1) into -1 1.065 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [backup-simplify]: Simplify 1.0 into 1.0 1.065 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.065 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.065 * [taylor]: Taking taylor expansion of -1 in x 1.065 * [backup-simplify]: Simplify -1 into -1 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (/ -1 1) into -1 1.066 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.066 * [taylor]: Taking taylor expansion of 1.0 in x 1.066 * [backup-simplify]: Simplify 1.0 into 1.0 1.066 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 1.066 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 1.066 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1.0) into (+ 1.0 (cos x)) 1.067 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.068 * [backup-simplify]: Simplify (/ (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) into (/ (- 1.0 (pow (cos x) 3)) (fma (cos x) (+ (cos x) 1.0) 1.0)) 1.068 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (fma (cos x) (+ (cos x) 1.0) 1.0)) in (x) around 0 1.068 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (fma (cos x) (+ (cos x) 1.0) 1.0)) in x 1.068 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.068 * [backup-simplify]: Simplify 1.0 into 1.0 1.068 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.068 * [taylor]: Taking taylor expansion of (cos x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [taylor]: Taking taylor expansion of (fma (cos x) (+ (cos x) 1.0) 1.0) in x 1.069 * [taylor]: Rewrote expression to (+ (* (cos x) (+ (cos x) 1.0)) 1.0) 1.069 * [taylor]: Taking taylor expansion of (* (cos x) (+ (cos x) 1.0)) in x 1.070 * [taylor]: Taking taylor expansion of (cos x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.070 * [taylor]: Taking taylor expansion of (cos x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [backup-simplify]: Simplify 1.0 into 1.0 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [backup-simplify]: Simplify 1.0 into 1.0 1.070 * [backup-simplify]: Simplify (* 1 1) into 1 1.070 * [backup-simplify]: Simplify (* 1 1) into 1 1.070 * [backup-simplify]: Simplify (- 1) into -1 1.071 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.071 * [backup-simplify]: Simplify (+ 0) into 0 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.072 * [backup-simplify]: Simplify (- 0) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.073 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.073 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.074 * [backup-simplify]: Simplify (- -3/2) into 3/2 1.074 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 1.074 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 1.074 * [backup-simplify]: Simplify (* 1 2.0) into 2.0 1.075 * [backup-simplify]: Simplify (+ 2.0 1.0) into 3.0 1.075 * [backup-simplify]: Simplify (/ 3/2 3.0) into 0.5 1.075 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (fma (cos x) (+ (cos x) 1.0) 1.0)) in x 1.075 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [backup-simplify]: Simplify 1.0 into 1.0 1.075 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.075 * [taylor]: Taking taylor expansion of (cos 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 * [taylor]: Taking taylor expansion of (fma (cos x) (+ (cos x) 1.0) 1.0) in x 1.075 * [taylor]: Rewrote expression to (+ (* (cos x) (+ (cos x) 1.0)) 1.0) 1.075 * [taylor]: Taking taylor expansion of (* (cos x) (+ (cos x) 1.0)) in x 1.075 * [taylor]: Taking taylor expansion of (cos 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 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.075 * [taylor]: Taking taylor expansion of (cos 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 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [backup-simplify]: Simplify 1.0 into 1.0 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [backup-simplify]: Simplify 1.0 into 1.0 1.076 * [backup-simplify]: Simplify (* 1 1) into 1 1.076 * [backup-simplify]: Simplify (* 1 1) into 1 1.076 * [backup-simplify]: Simplify (- 1) into -1 1.076 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.077 * [backup-simplify]: Simplify (+ 0) into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.077 * [backup-simplify]: Simplify (- 0) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.079 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.079 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.079 * [backup-simplify]: Simplify (- -3/2) into 3/2 1.080 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 1.080 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 1.080 * [backup-simplify]: Simplify (* 1 2.0) into 2.0 1.080 * [backup-simplify]: Simplify (+ 2.0 1.0) into 3.0 1.081 * [backup-simplify]: Simplify (/ 3/2 3.0) into 0.5 1.081 * [backup-simplify]: Simplify 0.5 into 0.5 1.081 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (- 0) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [backup-simplify]: Simplify (+ 0) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [backup-simplify]: Simplify (+ 0) into 0 1.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2.0)) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify (- (/ 0 3.0) (+ (* 0.5 (/ 0 3.0)))) into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.086 * [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 1.087 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.088 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.088 * [backup-simplify]: Simplify (- 7/8) into -7/8 1.088 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 1.089 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.089 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.089 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.091 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 2.0))) into (- 1.5) 1.091 * [backup-simplify]: Simplify (+ (- 1.5) 0) into (- 1.5) 1.094 * [backup-simplify]: Simplify (- (/ -7/8 3.0) (+ (* 0.5 (/ (- 1.5) 3.0)) (* 0 (/ 0 3.0)))) into (- 0.041666666666666685) 1.094 * [backup-simplify]: Simplify (- 0.041666666666666685) into (- 0.041666666666666685) 1.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 1.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 2.0)))) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [backup-simplify]: Simplify (- (/ 0 3.0) (+ (* 0.5 (/ 0 3.0)) (* 0 (/ (- 1.5) 3.0)) (* (- 0.041666666666666685) (/ 0 3.0)))) into 0 1.101 * [backup-simplify]: Simplify 0 into 0 1.104 * [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 1.105 * [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 1.106 * [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 1.106 * [backup-simplify]: Simplify (- -61/240) into 61/240 1.106 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 1.108 * [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 1.108 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.109 * [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 1.113 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 2.0))))) into 0.375 1.113 * [backup-simplify]: Simplify (+ 0.375 0) into 0.375 1.117 * [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 1.117 * [backup-simplify]: Simplify 0.00138888888888887 into 0.00138888888888887 1.118 * [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))) 1.119 * [backup-simplify]: Simplify (/ (- (pow 1.0 3) (pow (cos (/ 1 x)) 3)) (fma (cos (/ 1 x)) (+ 1.0 (cos (/ 1 x))) (* 1.0 1.0))) into (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (fma (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0) 1.0)) 1.119 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (fma (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0) 1.0)) in (x) around 0 1.119 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (fma (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0) 1.0)) in x 1.119 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [backup-simplify]: Simplify 1.0 into 1.0 1.119 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.119 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (/ 1 1) into 1 1.119 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.119 * [taylor]: Taking taylor expansion of (fma (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0) 1.0) in x 1.119 * [taylor]: Rewrote expression to (+ (* (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0)) 1.0) 1.119 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0)) in x 1.119 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (/ 1 1) into 1 1.120 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.120 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.120 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (/ 1 1) into 1 1.120 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [backup-simplify]: Simplify 1.0 into 1.0 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [backup-simplify]: Simplify 1.0 into 1.0 1.120 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.120 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.120 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 1.121 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.121 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 1.121 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0)) into (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) 1.121 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) 1.0) into (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) 1.121 * [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))) 1.121 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (fma (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0) 1.0)) in x 1.121 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [backup-simplify]: Simplify 1.0 into 1.0 1.121 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.121 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (/ 1 1) into 1 1.122 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.122 * [taylor]: Taking taylor expansion of (fma (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0) 1.0) in x 1.122 * [taylor]: Rewrote expression to (+ (* (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0)) 1.0) 1.122 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0)) in x 1.122 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (/ 1 1) into 1 1.122 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.122 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.122 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.123 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [backup-simplify]: Simplify 1.0 into 1.0 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [backup-simplify]: Simplify 1.0 into 1.0 1.123 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.123 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.123 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 1.123 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.123 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 1.123 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0)) into (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) 1.123 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) 1.0) into (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) 1.124 * [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))) 1.124 * [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))) 1.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.125 * [backup-simplify]: Simplify (- 0) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.130 * [backup-simplify]: Simplify (+ 0 0) into 0 1.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (+ (cos (/ 1 x)) 1.0))) into 0 1.130 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [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 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.131 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.132 * [backup-simplify]: Simplify (- 0) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (+ (cos (/ 1 x)) 1.0)))) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.134 * [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 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.135 * [backup-simplify]: Simplify (- 0) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ 1 x)) 1.0))))) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [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 1.137 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ 1 x)) 1.0)))))) into 0 1.140 * [backup-simplify]: Simplify (+ 0 0) into 0 1.141 * [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 1.141 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.144 * [backup-simplify]: Simplify (- 0) into 0 1.144 * [backup-simplify]: Simplify (+ 0 0) into 0 1.144 * [backup-simplify]: Simplify (+ 0 0) into 0 1.145 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ 1 x)) 1.0))))))) into 0 1.145 * [backup-simplify]: Simplify (+ 0 0) into 0 1.147 * [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 1.147 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.149 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))))) into 0 1.149 * [backup-simplify]: Simplify (- 0) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ 1 x)) 1.0)))))))) into 0 1.151 * [backup-simplify]: Simplify (+ 0 0) into 0 1.153 * [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 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [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))))) 1.154 * [backup-simplify]: Simplify (/ (- (pow 1.0 3) (pow (cos (/ 1 (- x))) 3)) (fma (cos (/ 1 (- x))) (+ 1.0 (cos (/ 1 (- x)))) (* 1.0 1.0))) into (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (fma (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0) 1.0)) 1.154 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (fma (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0) 1.0)) in (x) around 0 1.154 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (fma (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0) 1.0)) in x 1.154 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [backup-simplify]: Simplify 1.0 into 1.0 1.154 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.154 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [backup-simplify]: Simplify -1 into -1 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [backup-simplify]: Simplify (/ -1 1) into -1 1.154 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.154 * [taylor]: Taking taylor expansion of (fma (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0) 1.0) in x 1.154 * [taylor]: Rewrote expression to (+ (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) 1.0) 1.154 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) in x 1.154 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [backup-simplify]: Simplify -1 into -1 1.154 * [taylor]: Taking taylor expansion of x in x 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ -1 1) into -1 1.155 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.155 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.155 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.155 * [taylor]: Taking taylor expansion of -1 in x 1.155 * [backup-simplify]: Simplify -1 into -1 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ -1 1) into -1 1.155 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [backup-simplify]: Simplify 1.0 into 1.0 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [backup-simplify]: Simplify 1.0 into 1.0 1.155 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.156 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.156 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 1.156 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.156 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 1.156 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) into (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) 1.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) 1.0) into (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) 1.156 * [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))) 1.156 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (fma (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0) 1.0)) in x 1.156 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [backup-simplify]: Simplify 1.0 into 1.0 1.156 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.156 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.157 * [taylor]: Taking taylor expansion of -1 in x 1.157 * [backup-simplify]: Simplify -1 into -1 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (/ -1 1) into -1 1.157 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.157 * [taylor]: Taking taylor expansion of (fma (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0) 1.0) in x 1.157 * [taylor]: Rewrote expression to (+ (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) 1.0) 1.157 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) in x 1.157 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.157 * [taylor]: Taking taylor expansion of -1 in x 1.157 * [backup-simplify]: Simplify -1 into -1 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (/ -1 1) into -1 1.157 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.157 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.157 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.158 * [taylor]: Taking taylor expansion of -1 in x 1.158 * [backup-simplify]: Simplify -1 into -1 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (/ -1 1) into -1 1.158 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [backup-simplify]: Simplify 1.0 into 1.0 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [backup-simplify]: Simplify 1.0 into 1.0 1.158 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.158 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.158 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 1.158 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.158 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 1.159 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) into (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) 1.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) 1.0) into (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) 1.159 * [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))) 1.159 * [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))) 1.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.160 * [backup-simplify]: Simplify (- 0) into 0 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (+ (cos (/ -1 x)) 1.0))) into 0 1.161 * [backup-simplify]: Simplify (+ 0 0) into 0 1.161 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) (/ 0 (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)))))) into 0 1.161 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.162 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.162 * [backup-simplify]: Simplify (- 0) into 0 1.162 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (+ (cos (/ -1 x)) 1.0)))) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.164 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 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 1.164 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.165 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.165 * [backup-simplify]: Simplify (- 0) into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ -1 x)) 1.0))))) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 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 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.169 * [backup-simplify]: Simplify (- 0) into 0 1.170 * [backup-simplify]: Simplify (+ 0 0) into 0 1.170 * [backup-simplify]: Simplify (+ 0 0) into 0 1.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ -1 x)) 1.0)))))) into 0 1.171 * [backup-simplify]: Simplify (+ 0 0) into 0 1.172 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 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 1.172 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.174 * [backup-simplify]: Simplify (- 0) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.175 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ -1 x)) 1.0))))))) into 0 1.176 * [backup-simplify]: Simplify (+ 0 0) into 0 1.177 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 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 1.177 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.179 * [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 1.180 * [backup-simplify]: Simplify (- 0) into 0 1.180 * [backup-simplify]: Simplify (+ 0 0) into 0 1.180 * [backup-simplify]: Simplify (+ 0 0) into 0 1.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ -1 x)) 1.0)))))))) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [backup-simplify]: Simplify (- (/ 0 (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) (+ (* (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 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 1.183 * [backup-simplify]: Simplify 0 into 0 1.184 * [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))))) 1.184 * * * [progress]: simplifying candidates 1.191 * [simplify]: Simplifying: (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3)))) (fma (- (pow (sqrt (cos x)) 3)) (pow (sqrt (cos x)) 3) (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) 3) (pow 1 3)))) (fma (- (pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (cos x) (* (cos x) (cos x))))) (fma (- (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cos x) (cos x)))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3)))))) (fma (- (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3)))) (fma (- (pow (sqrt (cos x)) 3)) (pow (sqrt (cos x)) 3) (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) 3) (pow 1 3)))) (fma (- (pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (* (cos x) (cos x)) (cos x)))) (fma (- (* (cos x) (cos x))) (cos x) (* (* (cos x) (cos x)) (cos x))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3))))) (fma (- (sqrt (pow (cos x) 3))) (sqrt (pow (cos x) 3)) (* (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3)))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) 3) 1))) (fma (- (pow (cos x) 3)) 1 (* (pow (cos x) 3) 1)) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2))))) (fma (- (pow (cos x) (/ 3 2))) (pow (cos x) (/ 3 2)) (* (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 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(cos x)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (cbrt (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (cbrt (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sqrt (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)))) (/ (- (pow 1.0 3) (pow (cos x) 3)) 1) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- 1.0 (cos x))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2)))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2)))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3)))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2)))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3)))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2)))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (* (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow (cos x) 3) (pow (cos x) 3)) (* (pow 1.0 3) (pow (cos x) 3))))) (* (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (cos x) 3))) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (+ (* 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)) (- (+ (* 0.5 (pow x 2)) (* 0.00138888888888887 (pow x 6))) (* 0.041666666666666685 (pow x 4))) (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) 1.194 * [simplify]: Sending expressions to egg_math: (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (pow (cbrt (cos h0)) 3) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3)))) (fma (- (pow (cbrt (cos h0)) 3)) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3) (* (pow (cbrt (cos h0)) 3) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3))) (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (pow (sqrt (cos h0)) 3) (pow (sqrt (cos h0)) 3)))) (fma (- (pow (sqrt (cos h0)) 3)) (pow (sqrt (cos h0)) 3) (* (pow (sqrt (cos h0)) 3) (pow (sqrt (cos h0)) 3))) (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (pow (cos h0) 3) (pow 1 3)))) (fma (- (pow (cos h0) 3)) (pow 1 3) (* (pow (cos h0) 3) (pow 1 3))) (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (cos h0) (* (cos h0) (cos h0))))) (fma (- (cos h0)) (* (cos h0) (cos h0)) (* (cos h0) (* (cos h0) (cos h0)))) (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (cbrt (pow (cos h0) 3)) (* (cbrt (pow (cos h0) 3)) (cbrt (pow (cos h0) 3)))))) (fma (- (cbrt (pow (cos h0) 3))) (* (cbrt (pow (cos h0) 3)) (cbrt (pow (cos h0) 3))) (* (cbrt (pow (cos h0) 3)) (* (cbrt (pow (cos h0) 3)) (cbrt (pow (cos h0) 3))))) (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (pow (cbrt (cos h0)) 3) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3)))) (fma (- (pow (cbrt (cos h0)) 3)) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3) (* (pow (cbrt (cos h0)) 3) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3))) (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (pow (sqrt (cos h0)) 3) (pow (sqrt (cos h0)) 3)))) (fma (- (pow (sqrt (cos h0)) 3)) (pow (sqrt (cos h0)) 3) (* (pow (sqrt (cos h0)) 3) (pow (sqrt (cos h0)) 3))) (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (pow (cos h0) 3) (pow 1 3)))) (fma (- (pow (cos h0) 3)) (pow 1 3) (* (pow (cos h0) 3) (pow 1 3))) (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (* (cos h0) (cos h0)) (cos h0)))) (fma (- (* (cos h0) (cos h0))) (cos h0) (* (* (cos h0) (cos h0)) (cos h0))) (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (sqrt (pow (cos h0) 3)) (sqrt (pow (cos h0) 3))))) (fma (- (sqrt (pow (cos h0) 3))) (sqrt (pow (cos h0) 3)) (* (sqrt (pow (cos h0) 3)) (sqrt (pow (cos h0) 3)))) (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (pow (cos h0) 3) 1))) (fma (- (pow (cos h0) 3)) 1 (* (pow (cos h0) 3) 1)) (fma (pow (* (cbrt h1) (cbrt h1)) 3) (pow (cbrt h1) 3) (- (* (pow (cos h0) (/ 3 2)) (pow (cos h0) (/ 3 2))))) (fma (- (pow (cos h0) (/ 3 2))) (pow (cos h0) (/ 3 2)) (* (pow (cos h0) (/ 3 2)) (pow (cos h0) (/ 3 2)))) (fma (pow (sqrt h1) 3) (pow (sqrt h1) 3) (- (* (pow (cbrt (cos h0)) 3) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3)))) (fma (- (pow (cbrt (cos h0)) 3)) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3) (* (pow (cbrt (cos h0)) 3) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3))) (fma (pow (sqrt h1) 3) (pow (sqrt h1) 3) (- (* (pow (sqrt (cos h0)) 3) (pow (sqrt (cos h0)) 3)))) (fma (- (pow (sqrt (cos h0)) 3)) (pow (sqrt (cos h0)) 3) (* (pow (sqrt (cos h0)) 3) (pow (sqrt (cos h0)) 3))) (fma (pow (sqrt h1) 3) (pow (sqrt h1) 3) (- (* (pow (cos h0) 3) (pow 1 3)))) (fma (- (pow (cos h0) 3)) (pow 1 3) (* (pow (cos h0) 3) (pow 1 3))) (fma (pow (sqrt h1) 3) (pow (sqrt h1) 3) (- (* (cos h0) (* (cos h0) (cos h0))))) (fma (- (cos h0)) (* (cos h0) (cos h0)) (* (cos h0) (* (cos h0) (cos h0)))) (fma (pow (sqrt h1) 3) (pow (sqrt h1) 3) (- (* (cbrt (pow (cos h0) 3)) (* (cbrt (pow (cos h0) 3)) (cbrt (pow (cos h0) 3)))))) (fma (- (cbrt (pow (cos h0) 3))) (* (cbrt (pow (cos h0) 3)) (cbrt (pow (cos h0) 3))) (* (cbrt (pow (cos h0) 3)) (* (cbrt (pow (cos h0) 3)) (cbrt (pow (cos h0) 3))))) (fma (pow (sqrt h1) 3) (pow (sqrt h1) 3) (- (* (pow (cbrt (cos h0)) 3) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 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(cos h0) 3) (pow (cos h0) 3)) (* (pow h1 3) (pow (cos h0) 3))))) (* (fma (cos h0) (+ h1 (cos h0)) (* 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)) (+ h1 (+ (pow (cos h0) 2) (* h1 (cos h0))))) 1.212 * * [simplify]: iteration 0 : 828 enodes (cost 4951 ) 1.225 * * [simplify]: iteration 1 : 3244 enodes (cost 4033 ) 1.310 * * [simplify]: iteration 2 : 5002 enodes (cost 3940 ) 1.332 * * * [progress]: adding candidates to table 1.811 * * [progress]: iteration 4 / 4 1.811 * * * [progress]: picking best candidate 1.850 * * * * [pick]: Picked # 1.850 * * * [progress]: localizing error 1.869 * * * [progress]: generating rewritten candidates 1.869 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.921 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.929 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1 1) 1.932 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.959 * * * [progress]: generating series expansions 1.959 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.959 * [backup-simplify]: Simplify (- (pow 1.0 3) (log (exp (pow (cos x) 3)))) into (- 1.0 (pow (cos x) 3)) 1.959 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.960 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [backup-simplify]: Simplify 1.0 into 1.0 1.960 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.960 * [taylor]: Taking taylor expansion of (cos x) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [backup-simplify]: Simplify 1.0 into 1.0 1.960 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.960 * [taylor]: Taking taylor expansion of (cos x) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (* 1 1) into 1 1.960 * [backup-simplify]: Simplify (* 1 1) into 1 1.961 * [backup-simplify]: Simplify (- 1) into -1 1.961 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ 0) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.962 * [backup-simplify]: Simplify (- 0) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.963 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.964 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.964 * [backup-simplify]: Simplify (- -3/2) into 3/2 1.965 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 1.965 * [backup-simplify]: Simplify 3/2 into 3/2 1.965 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (- 0) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.968 * [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 1.969 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.970 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.970 * [backup-simplify]: Simplify (- 7/8) into -7/8 1.970 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 1.970 * [backup-simplify]: Simplify -7/8 into -7/8 1.972 * [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 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 1.974 * [backup-simplify]: Simplify (- 0) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.977 * [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 1.978 * [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 1.979 * [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 1.979 * [backup-simplify]: Simplify (- -61/240) into 61/240 1.979 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 1.980 * [backup-simplify]: Simplify 61/240 into 61/240 1.980 * [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))) 1.980 * [backup-simplify]: Simplify (- (pow 1.0 3) (log (exp (pow (cos (/ 1 x)) 3)))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.980 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.980 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.980 * [taylor]: Taking taylor expansion of 1.0 in x 1.980 * [backup-simplify]: Simplify 1.0 into 1.0 1.981 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.981 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.981 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.981 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.981 * [taylor]: Taking taylor expansion of 1.0 in x 1.981 * [backup-simplify]: Simplify 1.0 into 1.0 1.981 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.981 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.981 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.981 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.982 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.982 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 1.982 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.982 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.982 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.983 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.984 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.987 * [backup-simplify]: Simplify (- 0) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.989 * [backup-simplify]: Simplify (- 0) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.992 * [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 1.992 * [backup-simplify]: Simplify (- 0) into 0 1.992 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 (/ 1 x))) 3)) into (- 1.0 (pow (cos x) 3)) 1.993 * [backup-simplify]: Simplify (- (pow 1.0 3) (log (exp (pow (cos (/ 1 (- x))) 3)))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.993 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.993 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.993 * [taylor]: Taking taylor expansion of 1.0 in x 1.993 * [backup-simplify]: Simplify 1.0 into 1.0 1.993 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.993 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.993 * [taylor]: Taking taylor expansion of -1 in x 1.993 * [backup-simplify]: Simplify -1 into -1 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (/ -1 1) into -1 1.993 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.993 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.993 * [taylor]: Taking taylor expansion of 1.0 in x 1.993 * [backup-simplify]: Simplify 1.0 into 1.0 1.993 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.993 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.994 * [taylor]: Taking taylor expansion of -1 in x 1.994 * [backup-simplify]: Simplify -1 into -1 1.994 * [taylor]: Taking taylor expansion of x in x 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (/ -1 1) into -1 1.994 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.994 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.994 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.994 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 1.994 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.995 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 x)) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.995 * [backup-simplify]: Simplify (- 0) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.998 * [backup-simplify]: Simplify (- 0) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 2.000 * [backup-simplify]: Simplify (- 0) into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 2.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 2.002 * [backup-simplify]: Simplify (- 0) into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 2.004 * [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 2.005 * [backup-simplify]: Simplify (- 0) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 3)) into (- 1.0 (pow (cos x) 3)) 2.005 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 2.005 * [backup-simplify]: Simplify (log (exp (pow (cos x) 3))) into (pow (cos x) 3) 2.005 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 2.005 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 2.005 * [taylor]: Taking taylor expansion of (cos x) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 2.005 * [taylor]: Taking taylor expansion of (cos x) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (+ 0) into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.008 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 2.008 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 2.008 * [backup-simplify]: Simplify -3/2 into -3/2 2.009 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 2.010 * [backup-simplify]: Simplify 0 into 0 2.012 * [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 2.013 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 2.013 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 2.013 * [backup-simplify]: Simplify 7/8 into 7/8 2.014 * [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))) 2.014 * [backup-simplify]: Simplify (log (exp (pow (cos (/ 1 x)) 3))) into (pow (cos (/ 1 x)) 3) 2.014 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 2.014 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 2.014 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.015 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 2.015 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.015 * [taylor]: Taking taylor expansion of x in x 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.015 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 2.015 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 2.015 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 2.015 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 2.015 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 2.016 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 2.017 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 2.019 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 2.021 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 2.023 * [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 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 3) into (pow (cos x) 3) 2.023 * [backup-simplify]: Simplify (log (exp (pow (cos (/ 1 (- x))) 3))) into (pow (cos (/ -1 x)) 3) 2.023 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 2.023 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 2.023 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.023 * [taylor]: Taking taylor expansion of -1 in x 2.023 * [backup-simplify]: Simplify -1 into -1 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ -1 1) into -1 2.024 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.024 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 2.024 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.024 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.024 * [taylor]: Taking taylor expansion of -1 in x 2.024 * [backup-simplify]: Simplify -1 into -1 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ -1 1) into -1 2.024 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.024 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 2.024 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 2.024 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 3) into (pow (cos (/ -1 x)) 3) 2.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 2.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 2.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 2.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 2.028 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 2.030 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 2.032 * [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 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 3) into (pow (cos x) 3) 2.032 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1 1) 2.032 * [backup-simplify]: Simplify (pow (cos x) 3) into (pow (cos x) 3) 2.032 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 2.033 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 2.033 * [taylor]: Taking taylor expansion of (cos x) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 2.033 * [taylor]: Taking taylor expansion of (cos x) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (* 1 1) into 1 2.033 * [backup-simplify]: Simplify (* 1 1) into 1 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (+ 0) into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.035 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 2.041 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 2.041 * [backup-simplify]: Simplify -3/2 into -3/2 2.041 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.044 * [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 2.045 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 2.046 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 2.046 * [backup-simplify]: Simplify 7/8 into 7/8 2.046 * [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))) 2.046 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 2.046 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 2.046 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 2.046 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.046 * [taylor]: Taking taylor expansion of x in x 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (/ 1 1) into 1 2.047 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.047 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 2.047 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.047 * [taylor]: Taking taylor expansion of x in x 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (/ 1 1) into 1 2.047 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.047 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 2.047 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 2.048 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 2.048 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 2.049 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 2.050 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 2.051 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 2.053 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 2.055 * [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 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 3) into (pow (cos x) 3) 2.056 * [backup-simplify]: Simplify (pow (cos (/ 1 (- x))) 3) into (pow (cos (/ -1 x)) 3) 2.056 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 2.056 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 2.056 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.056 * [taylor]: Taking taylor expansion of -1 in x 2.056 * [backup-simplify]: Simplify -1 into -1 2.056 * [taylor]: Taking taylor expansion of x in x 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (/ -1 1) into -1 2.056 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.056 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 2.056 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.056 * [taylor]: Taking taylor expansion of -1 in x 2.056 * [backup-simplify]: Simplify -1 into -1 2.056 * [taylor]: Taking taylor expansion of x in x 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (/ -1 1) into -1 2.056 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.057 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 2.057 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 2.057 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 3) into (pow (cos (/ -1 x)) 3) 2.057 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 2.057 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 2.058 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 2.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 2.060 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 2.062 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 2.065 * [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 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 3) into (pow (cos x) 3) 2.065 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 2.065 * [backup-simplify]: Simplify (+ 1.0 (cos x)) into (+ (cos x) 1.0) 2.065 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 2.065 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 2.065 * [taylor]: Taking taylor expansion of (cos x) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [taylor]: Taking taylor expansion of 1.0 in x 2.065 * [backup-simplify]: Simplify 1.0 into 1.0 2.065 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 2.065 * [taylor]: Taking taylor expansion of (cos x) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [taylor]: Taking taylor expansion of 1.0 in x 2.065 * [backup-simplify]: Simplify 1.0 into 1.0 2.066 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 2.066 * [backup-simplify]: Simplify 2.0 into 2.0 2.066 * [backup-simplify]: Simplify (+ 0) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.067 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.067 * [backup-simplify]: Simplify -1/2 into -1/2 2.068 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [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 2.070 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.070 * [backup-simplify]: Simplify 1/24 into 1/24 2.070 * [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))) 2.070 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1.0) 2.070 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 2.070 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 2.070 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (/ 1 1) into 1 2.070 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.070 * [taylor]: Taking taylor expansion of 1.0 in x 2.070 * [backup-simplify]: Simplify 1.0 into 1.0 2.070 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 2.070 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (/ 1 1) into 1 2.071 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.071 * [taylor]: Taking taylor expansion of 1.0 in x 2.071 * [backup-simplify]: Simplify 1.0 into 1.0 2.071 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 2.071 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1.0) into (+ 1.0 (cos x)) 2.073 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1.0) 2.073 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 2.073 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 2.073 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.073 * [taylor]: Taking taylor expansion of -1 in x 2.073 * [backup-simplify]: Simplify -1 into -1 2.073 * [taylor]: Taking taylor expansion of x in x 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (/ -1 1) into -1 2.073 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.073 * [taylor]: Taking taylor expansion of 1.0 in x 2.073 * [backup-simplify]: Simplify 1.0 into 1.0 2.073 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 2.073 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.073 * [taylor]: Taking taylor expansion of -1 in x 2.073 * [backup-simplify]: Simplify -1 into -1 2.073 * [taylor]: Taking taylor expansion of x in x 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (/ -1 1) into -1 2.073 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.073 * [taylor]: Taking taylor expansion of 1.0 in x 2.073 * [backup-simplify]: Simplify 1.0 into 1.0 2.074 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 2.074 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1.0) into (+ 1.0 (cos x)) 2.075 * * * [progress]: simplifying candidates 2.081 * [simplify]: Simplifying: (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (log (exp (pow (cos x) 3))) 1))) (fma (- (log (exp (pow (cos x) 3)))) 1 (* (log (exp (pow (cos x) 3))) 1)) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (log (exp (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (pow (cbrt (cos x)) 3)))) (fma (- (log (exp (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (pow (cbrt (cos x)) 3) (* (log (exp (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (pow (cbrt (cos x)) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (log (exp (pow (sqrt (cos x)) 3))) (pow (sqrt (cos x)) 3)))) (fma (- (log 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3)) (* (log (exp (sqrt (pow (cos x) 3)))) (sqrt (pow (cos x) 3)))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (log (exp 1)) (pow (cos x) 3)))) (fma (- (log (exp 1))) (pow (cos x) 3) (* (log (exp 1)) (pow (cos x) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (log (exp (pow (cos x) (/ 3 2)))) (pow (cos x) (/ 3 2))))) (fma (- (log (exp (pow (cos x) (/ 3 2))))) (pow (cos x) (/ 3 2)) (* (log (exp (pow (cos x) (/ 3 2)))) (pow (cos x) (/ 3 2)))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (cbrt (log (exp (pow (cos x) 3)))) (* (cbrt (log (exp (pow (cos x) 3)))) (cbrt (log (exp (pow (cos x) 3)))))))) (fma (- (cbrt (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)))) (* (cbrt (log (exp (pow (cos x) 3)))) (cbrt (log (exp (pow (cos x) 3))))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (sqrt (log (exp (pow (cos x) 3)))) (sqrt 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(+ h1 (cos h0)) (+ h1 (cos h0)) 2.101 * * [simplify]: iteration 0 : 653 enodes (cost 4257 ) 2.110 * * [simplify]: iteration 1 : 2071 enodes (cost 2171 ) 2.169 * * [simplify]: iteration 2 : 5002 enodes (cost 2159 ) 2.180 * * * [progress]: adding candidates to table 2.525 * [progress]: [Phase 3 of 3] Extracting. 2.525 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.529 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.529 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.594 * * * [regime]: Found split indices: #