11.930 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.055 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.055 * [simplify]: Sending expressions to egg_math: (/ (- h0 (cos h1)) (* h1 h1)) 0.057 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.058 * * [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 ) 0.062 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.063 * * [progress]: iteration 1 / 4 0.063 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.095 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.104 * * * [progress]: generating series expansions 0.104 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.104 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.104 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [taylor]: Taking taylor expansion of (cos x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (- 1) into -1 0.105 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.106 * [backup-simplify]: Simplify (+ 0) into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.107 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.107 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.108 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [taylor]: Taking taylor expansion of (cos x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.109 * [backup-simplify]: Simplify (+ 0) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.110 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.110 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.111 * [backup-simplify]: Simplify 1/2 into 1/2 0.111 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.114 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.114 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.116 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.116 * [backup-simplify]: Simplify -1/24 into -1/24 0.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.121 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.122 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.123 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.123 * [backup-simplify]: Simplify 1/720 into 1/720 0.123 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.124 * [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 0.124 * [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 0.125 * [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))) 0.125 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.130 * [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 0.138 * [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 * [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 0.139 * [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 0.143 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 0.147 * [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 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.149 * [backup-simplify]: Simplify 1.0 into 1.0 0.149 * [taylor]: Taking taylor expansion of (cos x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [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 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.151 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.151 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.151 * [backup-simplify]: Simplify 1/2 into 1/2 0.152 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.154 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.154 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.154 * [backup-simplify]: Simplify -1/24 into -1/24 0.155 * [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 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.158 * [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 0.159 * [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))) 0.159 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.159 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 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 * [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 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.160 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.160 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.160 * [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 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [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 (- 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 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.163 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.163 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 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 * [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 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ -1 1) into -1 0.164 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.164 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.164 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.164 * [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 0.165 * [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 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [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 (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.167 * * * [progress]: simplifying candidates 0.168 * [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)) 0.168 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- h0 (cos h1)) (* h1 h1))) (log1p (/ (- h0 (cos h1)) (* h1 h1))) (- (log (- h0 (cos h1))) (+ (log h1) (log h1))) (- (log (- h0 (cos h1))) (log (* h1 h1))) (log (/ (- h0 (cos h1)) (* h1 h1))) (exp (/ (- h0 (cos h1)) (* h1 h1))) (/ (* (* (- h0 (cos h1)) (- h0 (cos h1))) (- h0 (cos h1))) (* (* (* h1 h1) h1) (* (* h1 h1) h1))) (/ (* (* (- h0 (cos h1)) (- h0 (cos h1))) (- h0 (cos h1))) (* (* (* h1 h1) (* h1 h1)) (* h1 h1))) (* (cbrt (/ (- h0 (cos h1)) (* h1 h1))) (cbrt (/ (- h0 (cos h1)) (* h1 h1)))) (cbrt (/ (- h0 (cos h1)) (* h1 h1))) (* (* (/ (- h0 (cos h1)) (* h1 h1)) (/ (- h0 (cos h1)) (* h1 h1))) (/ (- h0 (cos h1)) (* h1 h1))) (sqrt (/ (- h0 (cos h1)) (* h1 h1))) (sqrt (/ (- h0 (cos h1)) (* h1 h1))) (- (- h0 (cos h1))) (- (* h1 h1)) (/ h0 (* h1 h1)) (/ (cos h1) (* h1 h1)) (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) h1) (/ (cbrt (- h0 (cos h1))) h1) (/ (sqrt (- h0 (cos h1))) h1) (/ (sqrt (- h0 (cos h1))) h1) (/ 1 h1) (/ (- h0 (cos h1)) h1) (/ (+ (sqrt h0) (sqrt (cos h1))) h1) (/ (- (sqrt h0) (sqrt (cos h1))) h1) (/ 1 h1) (/ (- h0 (cos h1)) h1) (/ 1 (* h1 h1)) (/ (* h1 h1) (- h0 (cos h1))) (/ (- h0 (cos h1)) h1) (/ (* h1 h1) (cbrt (- h0 (cos h1)))) (/ (* h1 h1) (sqrt (- h0 (cos h1)))) (/ (* h1 h1) (- h0 (cos h1))) (/ (* h1 h1) (- (sqrt h0) (sqrt (cos h1)))) (/ (* h1 h1) (- h0 (cos h1))) (* (* h1 h1) (+ (* h0 h0) (+ (* (cos h1) (cos h1)) (* h0 (cos h1))))) (* (* h1 h1) (+ h0 (cos h1))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (fma (sqrt h0) (sqrt h0) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma (sqrt h0) (sqrt h0) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma (sqrt h0) (sqrt h0) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (fma 1 h0 (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma 1 h0 (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma 1 h0 (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (expm1 (- h0 (cos h1))) (log1p (- h0 (cos h1))) (- (cos h1)) (- (cos h1)) (- (cos h1)) (/ (exp h0) (exp (cos h1))) (log (- h0 (cos h1))) (exp (- h0 (cos h1))) (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (cbrt (- h0 (cos h1))) (* (* (- h0 (cos h1)) (- h0 (cos h1))) (- h0 (cos h1))) (sqrt (- h0 (cos h1))) (sqrt (- h0 (cos h1))) (- (pow h0 3) (pow (cos h1) 3)) (+ (* h0 h0) (+ (* (cos h1) (cos h1)) (* h0 (cos h1)))) (- (cos h1)) (- (* h0 h0) (* (cos h1) (cos h1))) (+ h0 (cos h1)) (+ (sqrt h0) (sqrt (cos h1))) (- (sqrt h0) (sqrt (cos h1))) (- h0 (cos h1)) (- (cos h1)) (- (+ (* 1/720 (pow h1 4)) 1/2) (* 1/24 (pow h1 2))) (/ (- h0 (cos h1)) (pow h1 2)) (/ (- h0 (cos h1)) (pow h1 2)) (- (+ (* 1/2 (pow h1 2)) (* 1/720 (pow h1 6))) (* 1/24 (pow h1 4))) (- h0 (cos h1)) (- h0 (cos h1)) 0.172 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.177 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.197 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.199 * * * [progress]: adding candidates to table 0.315 * * [progress]: iteration 2 / 4 0.315 * * * [progress]: picking best candidate 0.331 * * * * [pick]: Picked # 0.331 * * * [progress]: localizing error 0.340 * * * [progress]: generating rewritten candidates 0.340 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.340 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 2) 0.353 * * * [progress]: generating series expansions 0.353 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.354 * [backup-simplify]: Simplify (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) into (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) 0.354 * [approximate]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.354 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.354 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of 1/720 in x 0.354 * [backup-simplify]: Simplify 1/720 into 1/720 0.354 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.354 * [taylor]: Taking taylor expansion of 1/2 in x 0.354 * [backup-simplify]: Simplify 1/2 into 1/2 0.354 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of 1/24 in x 0.354 * [backup-simplify]: Simplify 1/24 into 1/24 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.354 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.354 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of 1/720 in x 0.354 * [backup-simplify]: Simplify 1/720 into 1/720 0.354 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.354 * [taylor]: Taking taylor expansion of 1/2 in x 0.354 * [backup-simplify]: Simplify 1/2 into 1/2 0.354 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of 1/24 in x 0.354 * [backup-simplify]: Simplify 1/24 into 1/24 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.355 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.355 * [backup-simplify]: Simplify 1/2 into 1/2 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (* 1/24 1) into 1/24 0.357 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.357 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.357 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.357 * [backup-simplify]: Simplify -1/24 into -1/24 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1/24 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (* 1 1/720) into 1/720 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 0.361 * [backup-simplify]: Simplify 1/720 into 1/720 0.361 * [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))) 0.361 * [backup-simplify]: Simplify (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (pow (/ 1 x) 2)))) into (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.362 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.362 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.362 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.362 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of 1/720 in x 0.362 * [backup-simplify]: Simplify 1/720 into 1/720 0.362 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.362 * [taylor]: Taking taylor expansion of 1/2 in x 0.362 * [backup-simplify]: Simplify 1/2 into 1/2 0.362 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.362 * [taylor]: Taking taylor expansion of 1/24 in x 0.362 * [backup-simplify]: Simplify 1/24 into 1/24 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.363 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.363 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.363 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of 1/720 in x 0.363 * [backup-simplify]: Simplify 1/720 into 1/720 0.363 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.363 * [taylor]: Taking taylor expansion of 1/2 in x 0.363 * [backup-simplify]: Simplify 1/2 into 1/2 0.363 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.363 * [taylor]: Taking taylor expansion of 1/24 in x 0.363 * [backup-simplify]: Simplify 1/24 into 1/24 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (* 1 1/720) into 1/720 0.365 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 0.365 * [backup-simplify]: Simplify 1/720 into 1/720 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/720)) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/720))) into 0 0.369 * [backup-simplify]: Simplify (* 1/24 1) into 1/24 0.369 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.369 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.369 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.369 * [backup-simplify]: Simplify -1/24 into -1/24 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/720)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 1/24 0) (* 0 1)) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/720))))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 1))) into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.378 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.378 * [backup-simplify]: Simplify 1/2 into 1/2 0.379 * [backup-simplify]: Simplify (+ 1/2 (+ (* -1/24 (pow (/ 1 (/ 1 x)) 2)) (* 1/720 (pow (/ 1 (/ 1 x)) 4)))) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.379 * [backup-simplify]: Simplify (fma (pow (/ 1 (- x)) 4) 1/720 (- 1/2 (* 1/24 (pow (/ 1 (- x)) 2)))) into (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.379 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.379 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.379 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.379 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [backup-simplify]: Simplify -1 into -1 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ -1 1) into -1 0.379 * [taylor]: Taking taylor expansion of 1/720 in x 0.379 * [backup-simplify]: Simplify 1/720 into 1/720 0.379 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.379 * [taylor]: Taking taylor expansion of 1/2 in x 0.380 * [backup-simplify]: Simplify 1/2 into 1/2 0.380 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.380 * [taylor]: Taking taylor expansion of 1/24 in x 0.380 * [backup-simplify]: Simplify 1/24 into 1/24 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.380 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.380 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.380 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [backup-simplify]: Simplify -1 into -1 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ -1 1) into -1 0.381 * [taylor]: Taking taylor expansion of 1/720 in x 0.381 * [backup-simplify]: Simplify 1/720 into 1/720 0.381 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.381 * [taylor]: Taking taylor expansion of 1/2 in x 0.381 * [backup-simplify]: Simplify 1/2 into 1/2 0.381 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.381 * [taylor]: Taking taylor expansion of 1/24 in x 0.381 * [backup-simplify]: Simplify 1/24 into 1/24 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [backup-simplify]: Simplify (* -1 -1) into 1 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (* 1 1/720) into 1/720 0.382 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 0.382 * [backup-simplify]: Simplify 1/720 into 1/720 0.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/720)) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/720))) into 0 0.390 * [backup-simplify]: Simplify (* 1/24 1) into 1/24 0.390 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.391 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.391 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.391 * [backup-simplify]: Simplify -1/24 into -1/24 0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/720)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* 1/24 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/720))))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 1))) into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.400 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.400 * [backup-simplify]: Simplify 1/2 into 1/2 0.400 * [backup-simplify]: Simplify (+ 1/2 (+ (* -1/24 (pow (/ 1 (/ 1 (- x))) 2)) (* 1/720 (pow (/ 1 (/ 1 (- x))) 4)))) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.400 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 2) 0.400 * [backup-simplify]: Simplify (* 1/24 (pow x 2)) into (* 1/24 (pow x 2)) 0.400 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.400 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.400 * [taylor]: Taking taylor expansion of 1/24 in x 0.400 * [backup-simplify]: Simplify 1/24 into 1/24 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.400 * [taylor]: Taking taylor expansion of 1/24 in x 0.401 * [backup-simplify]: Simplify 1/24 into 1/24 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (* 1 1) into 1 0.401 * [backup-simplify]: Simplify (* 1/24 1) into 1/24 0.401 * [backup-simplify]: Simplify 1/24 into 1/24 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.402 * [backup-simplify]: Simplify (+ (* 1/24 0) (* 0 1)) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 1))) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.407 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (* 1/24 (pow x 2)) into (* 1/24 (pow x 2)) 0.409 * [backup-simplify]: Simplify (* 1/24 (pow (/ 1 x) 2)) into (/ 1/24 (pow x 2)) 0.409 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.409 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of 1/24 in x 0.409 * [backup-simplify]: Simplify 1/24 into 1/24 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 0.409 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of 1/24 in x 0.409 * [backup-simplify]: Simplify 1/24 into 1/24 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 0.410 * [backup-simplify]: Simplify 1/24 into 1/24 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (* 1/24 (pow (/ 1 (/ 1 x)) 2)) into (* 1/24 (pow x 2)) 0.417 * [backup-simplify]: Simplify (* 1/24 (pow (/ 1 (- x)) 2)) into (/ 1/24 (pow x 2)) 0.417 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of 1/24 in x 0.417 * [backup-simplify]: Simplify 1/24 into 1/24 0.417 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.418 * [backup-simplify]: Simplify (* 1 1) into 1 0.418 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 0.418 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.418 * [taylor]: Taking taylor expansion of 1/24 in x 0.418 * [backup-simplify]: Simplify 1/24 into 1/24 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (* 1 1) into 1 0.418 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 0.418 * [backup-simplify]: Simplify 1/24 into 1/24 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (* 1/24 (pow (/ 1 (/ 1 (- x))) 2)) into (* 1/24 (pow x 2)) 0.426 * * * [progress]: simplifying candidates 0.426 * [simplify]: Simplifying: (expm1 (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (log1p (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (pow x 4) 1/720) (log (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (exp (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (* (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (expm1 (* 1/24 (pow x 2))) (log1p (* 1/24 (pow x 2))) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (log (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 (pow (sqrt x) 2)) (* 1/24 (pow 1 2)) (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (sqrt (pow x 2))) (* 1/24 1) (* 1/24 (pow x (/ 2 2))) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 0.426 * [simplify]: Sending expressions to egg_math: (expm1 (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2))))) (log1p (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2))))) (* (pow h0 4) 1/720) (log (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2))))) (exp (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2))))) (* (cbrt (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2))))) (cbrt (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2)))))) (cbrt (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2))))) (* (* (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2)))) (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2))))) (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2))))) (sqrt (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2))))) (sqrt (fma (pow h0 4) 1/720 (- 1/2 (* 1/24 (pow h0 2))))) (expm1 (* 1/24 (pow h0 2))) (log1p (* 1/24 (pow h0 2))) (+ (log 1/24) (* (log h0) 2)) (+ (log 1/24) (* (log h0) 2)) (+ (log 1/24) (log (pow h0 2))) (log (* 1/24 (pow h0 2))) (exp (* 1/24 (pow h0 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (cbrt (* 1/24 (pow h0 2))) (cbrt (* 1/24 (pow h0 2)))) (cbrt (* 1/24 (pow h0 2))) (* (* (* 1/24 (pow h0 2)) (* 1/24 (pow h0 2))) (* 1/24 (pow h0 2))) (sqrt (* 1/24 (pow h0 2))) (sqrt (* 1/24 (pow h0 2))) (* (sqrt 1/24) (pow (sqrt h0) 2)) (* (sqrt 1/24) (pow (sqrt h0) 2)) (* (sqrt 1/24) h0) (* (sqrt 1/24) h0) (* (sqrt 1/24) (sqrt (pow h0 2))) (* (sqrt 1/24) (sqrt (pow h0 2))) (* (sqrt 1/24) (pow h0 (/ 2 2))) (* (sqrt 1/24) (pow h0 (/ 2 2))) (* 1/24 (pow (* (cbrt h0) (cbrt h0)) 2)) (* 1/24 (pow (sqrt h0) 2)) (* 1/24 (pow 1 2)) (* 1/24 h0) (* 1/24 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (* 1/24 (sqrt (pow h0 2))) (* 1/24 1) (* 1/24 (pow h0 (/ 2 2))) (* (cbrt 1/24) (pow h0 2)) (* (sqrt 1/24) (pow h0 2)) (* 1/24 (pow h0 2)) (- (+ (* 1/720 (pow h0 4)) 1/2) (* 1/24 (pow h0 2))) (- (+ (* 1/720 (pow h0 4)) 1/2) (* 1/24 (pow h0 2))) (- (+ (* 1/720 (pow h0 4)) 1/2) (* 1/24 (pow h0 2))) (* 1/24 (pow h0 2)) (* 1/24 (pow h0 2)) (* 1/24 (pow h0 2)) 0.430 * * [simplify]: iteration 0 : 139 enodes (cost 194 ) 0.433 * * [simplify]: iteration 1 : 532 enodes (cost 171 ) 0.445 * * [simplify]: iteration 2 : 2601 enodes (cost 171 ) 0.527 * * [simplify]: iteration 3 : 5001 enodes (cost 170 ) 0.529 * * * [progress]: adding candidates to table 0.625 * * [progress]: iteration 3 / 4 0.626 * * * [progress]: picking best candidate 0.639 * * * * [pick]: Picked # 0.639 * * * [progress]: localizing error 0.645 * * * [progress]: generating rewritten candidates 0.646 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.653 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.670 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.701 * * * [progress]: generating series expansions 0.701 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.701 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.701 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [backup-simplify]: Simplify 1.0 into 1.0 0.701 * [taylor]: Taking taylor expansion of (cos x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [backup-simplify]: Simplify 1.0 into 1.0 0.701 * [taylor]: Taking taylor expansion of (cos x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (- 1) into -1 0.702 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (+ 0) into 0 0.702 * [backup-simplify]: Simplify (- 0) into 0 0.703 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.704 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.704 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.704 * [backup-simplify]: Simplify 1/2 into 1/2 0.705 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.705 * [backup-simplify]: Simplify (- 0) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.706 * [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 0.707 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.707 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.707 * [backup-simplify]: Simplify -1/24 into -1/24 0.708 * [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 0.708 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.711 * [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 0.711 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.712 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.712 * [backup-simplify]: Simplify 1/720 into 1/720 0.712 * [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))) 0.712 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.712 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.712 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [backup-simplify]: Simplify 1.0 into 1.0 0.712 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (/ 1 1) into 1 0.713 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.713 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [backup-simplify]: Simplify 1.0 into 1.0 0.713 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (/ 1 1) into 1 0.713 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.713 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.713 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.713 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (- 0) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (- 0) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify (- 0) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.716 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.716 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.716 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.716 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [backup-simplify]: Simplify 1.0 into 1.0 0.716 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.716 * [taylor]: Taking taylor expansion of -1 in x 0.716 * [backup-simplify]: Simplify -1 into -1 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.717 * [backup-simplify]: Simplify (/ -1 1) into -1 0.717 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.717 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.717 * [backup-simplify]: Simplify 1.0 into 1.0 0.717 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.717 * [taylor]: Taking taylor expansion of -1 in x 0.717 * [backup-simplify]: Simplify -1 into -1 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 1 into 1 0.717 * [backup-simplify]: Simplify (/ -1 1) into -1 0.717 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.717 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.717 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.717 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify (- 0) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify (- 0) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.720 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.720 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 0.720 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.720 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.720 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [backup-simplify]: Simplify 1.0 into 1.0 0.720 * [taylor]: Taking taylor expansion of (cos x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (- 1) into -1 0.721 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.721 * [backup-simplify]: Simplify (+ 0) into 0 0.721 * [backup-simplify]: Simplify (- 0) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.722 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.723 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.723 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.723 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.723 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [backup-simplify]: Simplify 1.0 into 1.0 0.723 * [taylor]: Taking taylor expansion of (cos x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (- 1) into -1 0.724 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.724 * [backup-simplify]: Simplify (+ 0) into 0 0.724 * [backup-simplify]: Simplify (- 0) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.725 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.725 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.725 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.726 * [backup-simplify]: Simplify 1/2 into 1/2 0.726 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.729 * [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 0.729 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.729 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.730 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.730 * [backup-simplify]: Simplify -1/24 into -1/24 0.731 * [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 0.731 * [backup-simplify]: Simplify (- 0) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.734 * [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 0.735 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.735 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.736 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.736 * [backup-simplify]: Simplify 1/720 into 1/720 0.736 * [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))) 0.736 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 0.736 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.736 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [backup-simplify]: Simplify 1.0 into 1.0 0.736 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.737 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [backup-simplify]: Simplify 1.0 into 1.0 0.737 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.737 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.737 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.737 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify (- 0) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 0.738 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.739 * [backup-simplify]: Simplify (- 0) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (- 0) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (- 0) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (- 0) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [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 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 0.748 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 0.748 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.748 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.748 * [taylor]: Taking taylor expansion of -1 in x 0.748 * [backup-simplify]: Simplify -1 into -1 0.748 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.748 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [backup-simplify]: Simplify 1.0 into 1.0 0.748 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.748 * [taylor]: Taking taylor expansion of -1 in x 0.748 * [backup-simplify]: Simplify -1 into -1 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (/ -1 1) into -1 0.748 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.748 * [taylor]: Taking taylor expansion of -1 in x 0.748 * [backup-simplify]: Simplify -1 into -1 0.748 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.748 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [backup-simplify]: Simplify 1.0 into 1.0 0.749 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.749 * [taylor]: Taking taylor expansion of -1 in x 0.749 * [backup-simplify]: Simplify -1 into -1 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ -1 1) into -1 0.749 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.749 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.749 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 0.749 * [backup-simplify]: Simplify (* -1 0) into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 0.751 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 0.751 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 0.751 * [backup-simplify]: Simplify (- 0) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 0.752 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (- 0) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (- 0) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.756 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (- 0) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.763 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify (- 0) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.765 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (- 0) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [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 0.768 * [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 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 0.768 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.768 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos x)) x) x) into (/ (- 1.0 (cos x)) (pow x 2)) 0.768 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.768 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.768 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.768 * [taylor]: Taking taylor expansion of 1.0 in x 0.768 * [backup-simplify]: Simplify 1.0 into 1.0 0.768 * [taylor]: Taking taylor expansion of (cos x) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (- 1) into -1 0.769 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.769 * [backup-simplify]: Simplify (+ 0) into 0 0.769 * [backup-simplify]: Simplify (- 0) into 0 0.770 * [backup-simplify]: Simplify (+ 0 0) into 0 0.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.770 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.771 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.771 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.771 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.771 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.771 * [taylor]: Taking taylor expansion of 1.0 in x 0.771 * [backup-simplify]: Simplify 1.0 into 1.0 0.771 * [taylor]: Taking taylor expansion of (cos x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (- 1) into -1 0.772 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.772 * [backup-simplify]: Simplify (+ 0) into 0 0.772 * [backup-simplify]: Simplify (- 0) into 0 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.773 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.773 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.774 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.774 * [backup-simplify]: Simplify (* 1 1) into 1 0.774 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.774 * [backup-simplify]: Simplify 1/2 into 1/2 0.775 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.777 * [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 0.778 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.778 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.779 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.779 * [backup-simplify]: Simplify -1/24 into -1/24 0.780 * [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 0.780 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.784 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.785 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.786 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.786 * [backup-simplify]: Simplify 1/720 into 1/720 0.786 * [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))) 0.787 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x)) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.787 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.787 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [backup-simplify]: Simplify 1.0 into 1.0 0.787 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (/ 1 1) into 1 0.787 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.787 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [backup-simplify]: Simplify 1.0 into 1.0 0.787 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.788 * [backup-simplify]: Simplify (* 1 1) into 1 0.788 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.788 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.788 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.788 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.788 * [backup-simplify]: Simplify (- 0) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (- 0) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify (- 0) into 0 0.791 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify (- 0) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (- 0) into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (- 0) into 0 0.797 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.800 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.800 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.800 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.800 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.800 * [backup-simplify]: Simplify 1.0 into 1.0 0.800 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.800 * [taylor]: Taking taylor expansion of -1 in x 0.800 * [backup-simplify]: Simplify -1 into -1 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ -1 1) into -1 0.800 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.800 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.800 * [backup-simplify]: Simplify 1.0 into 1.0 0.800 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.800 * [taylor]: Taking taylor expansion of -1 in x 0.800 * [backup-simplify]: Simplify -1 into -1 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (/ -1 1) into -1 0.801 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.801 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.801 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.801 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.801 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (- 0) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.803 * [backup-simplify]: Simplify (- 0) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.804 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (- 0) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.806 * [backup-simplify]: Simplify (- 0) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.808 * [backup-simplify]: Simplify (- 0) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.809 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.810 * [backup-simplify]: Simplify (- 0) into 0 0.810 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.811 * * * [progress]: simplifying candidates 0.814 * [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)) 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h1)) h1)) (- (log (- h0 (cos h1))) (log h1)) (log (/ (- h0 (cos h1)) h1)) (exp (/ (- h0 (cos h1)) h1)) (/ (* (* (- h0 (cos h1)) (- h0 (cos h1))) (- h0 (cos h1))) (* (* h1 h1) h1)) (* (cbrt (/ (- h0 (cos h1)) h1)) (cbrt (/ (- h0 (cos h1)) h1))) (cbrt (/ (- h0 (cos h1)) h1)) (* (* (/ (- h0 (cos h1)) h1) (/ (- h0 (cos h1)) h1)) (/ (- h0 (cos h1)) h1)) (sqrt (/ (- h0 (cos h1)) h1)) (sqrt (/ (- h0 (cos h1)) h1)) (- (- h0 (cos h1))) (- h1) (/ h0 h1) (/ (cos h1) h1) (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (- h0 (cos h1))) (cbrt h1)) (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (sqrt h1)) (/ (cbrt (- h0 (cos h1))) (sqrt h1)) (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) 1) (/ (cbrt (- h0 (cos h1))) h1) (/ (sqrt (- h0 (cos h1))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (cos h1))) (cbrt h1)) (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ (sqrt (- h0 (cos h1))) 1) (/ (sqrt (- h0 (cos h1))) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (- h0 (cos h1)) (cbrt h1)) (/ 1 (sqrt h1)) (/ (- h0 (cos h1)) (sqrt h1)) (/ 1 1) (/ (- h0 (cos h1)) h1) (/ (+ (sqrt h0) (sqrt (cos h1))) (* (cbrt h1) (cbrt h1))) (/ (- (sqrt h0) (sqrt (cos h1))) (cbrt h1)) (/ (+ (sqrt h0) (sqrt (cos h1))) (sqrt h1)) (/ (- (sqrt h0) (sqrt (cos h1))) (sqrt h1)) (/ (+ (sqrt h0) (sqrt (cos h1))) 1) (/ (- (sqrt h0) (sqrt (cos h1))) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (- h0 (cos h1)) (cbrt h1)) (/ 1 (sqrt h1)) (/ (- h0 (cos h1)) (sqrt h1)) (/ 1 1) (/ (- h0 (cos h1)) h1) (/ 1 h1) (/ h1 (- h0 (cos h1))) (/ (- h0 (cos h1)) (* (cbrt h1) (cbrt h1))) (/ (- h0 (cos h1)) (sqrt h1)) (/ (- h0 (cos h1)) 1) (/ h1 (cbrt (- h0 (cos h1)))) (/ h1 (sqrt (- h0 (cos h1)))) (/ h1 (- h0 (cos h1))) (/ h1 (- (sqrt h0) (sqrt (cos h1)))) (/ h1 (- h0 (cos h1))) (* h1 (+ (* h0 h0) (+ (* (cos h1) (cos h1)) (* h0 (cos h1))))) (* h1 (+ h0 (cos h1))) (expm1 (/ (/ (- h0 (cos h1)) h1) h1)) (log1p (/ (/ (- h0 (cos h1)) h1) h1)) (- (- (log (- h0 (cos h1))) (log h1)) (log h1)) (- (log (/ (- h0 (cos h1)) h1)) (log h1)) (log (/ (/ (- h0 (cos h1)) h1) h1)) (exp (/ (/ (- h0 (cos h1)) h1) h1)) (/ (/ (* (* (- h0 (cos h1)) (- h0 (cos h1))) (- h0 (cos h1))) (* (* h1 h1) h1)) (* (* h1 h1) h1)) (/ (* (* (/ (- h0 (cos h1)) h1) (/ (- h0 (cos h1)) h1)) (/ (- h0 (cos h1)) h1)) (* (* h1 h1) h1)) (* (cbrt (/ (/ (- h0 (cos h1)) h1) h1)) (cbrt (/ (/ (- h0 (cos h1)) h1) h1))) (cbrt (/ (/ (- h0 (cos h1)) h1) h1)) (* (* (/ (/ (- h0 (cos h1)) h1) h1) (/ (/ (- h0 (cos h1)) h1) h1)) (/ (/ (- h0 (cos h1)) h1) h1)) (sqrt (/ (/ (- h0 (cos h1)) h1) h1)) (sqrt (/ (/ (- h0 (cos h1)) h1) h1)) (- (/ (- h0 (cos h1)) h1)) (- h1) (/ (/ h0 h1) h1) (/ (/ (cos h1) h1) h1) (/ (* (cbrt (/ (- h0 (cos h1)) h1)) (cbrt (/ (- h0 (cos h1)) h1))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (/ (- h0 (cos h1)) h1)) (cbrt h1)) (/ (* (cbrt (/ (- h0 (cos h1)) h1)) (cbrt (/ (- h0 (cos h1)) h1))) (sqrt h1)) (/ (cbrt (/ (- h0 (cos h1)) h1)) (sqrt h1)) (/ (* (cbrt (/ (- h0 (cos h1)) h1)) (cbrt (/ (- h0 (cos h1)) h1))) 1) (/ (cbrt (/ (- h0 (cos h1)) h1)) h1) (/ (sqrt (/ (- h0 (cos h1)) h1)) (* (cbrt h1) (cbrt h1))) (/ (sqrt (/ (- h0 (cos h1)) h1)) (cbrt h1)) (/ (sqrt (/ (- h0 (cos h1)) h1)) (sqrt h1)) (/ (sqrt (/ (- h0 (cos h1)) h1)) (sqrt h1)) (/ (sqrt (/ (- h0 (cos h1)) h1)) 1) (/ (sqrt (/ (- h0 (cos h1)) h1)) h1) (/ (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (* (cbrt h1) (cbrt h1))) (* (cbrt h1) (cbrt h1))) (/ (/ (cbrt (- h0 (cos h1))) (cbrt h1)) (cbrt h1)) (/ (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (* (cbrt h1) (cbrt h1))) (sqrt h1)) (/ (/ (cbrt (- h0 (cos h1))) (cbrt h1)) (sqrt h1)) (/ (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (* (cbrt h1) (cbrt h1))) 1) (/ (/ (cbrt (- h0 (cos h1))) (cbrt h1)) h1) (/ (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (sqrt h1)) (* (cbrt h1) (cbrt h1))) (/ (/ (cbrt (- h0 (cos h1))) (sqrt h1)) (cbrt h1)) (/ (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (sqrt h1)) (sqrt h1)) (/ (/ (cbrt (- h0 (cos h1))) (sqrt h1)) (sqrt h1)) (/ (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (sqrt h1)) 1) (/ (/ (cbrt (- h0 (cos h1))) (sqrt h1)) h1) (/ (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) 1) (* (cbrt h1) (cbrt h1))) (/ (/ (cbrt (- h0 (cos h1))) h1) (cbrt h1)) (/ (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) 1) (sqrt h1)) (/ (/ (cbrt (- h0 (cos h1))) h1) (sqrt h1)) (/ (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) 1) 1) (/ (/ (cbrt (- h0 (cos h1))) h1) h1) (/ (/ (sqrt (- h0 (cos h1))) (* (cbrt h1) (cbrt h1))) (* (cbrt h1) (cbrt h1))) (/ (/ (sqrt (- h0 (cos h1))) (cbrt h1)) (cbrt h1)) (/ (/ (sqrt (- h0 (cos h1))) (* (cbrt h1) (cbrt h1))) (sqrt h1)) (/ (/ (sqrt (- h0 (cos h1))) (cbrt h1)) (sqrt h1)) (/ (/ (sqrt (- h0 (cos h1))) (* (cbrt h1) (cbrt h1))) 1) (/ (/ (sqrt (- h0 (cos h1))) (cbrt h1)) h1) (/ (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (* (cbrt h1) (cbrt h1))) (/ (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (cbrt h1)) (/ (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (sqrt h1)) (/ (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (sqrt h1)) (/ (/ (sqrt (- h0 (cos h1))) (sqrt h1)) 1) (/ (/ (sqrt (- h0 (cos h1))) (sqrt h1)) h1) (/ (/ (sqrt (- h0 (cos h1))) 1) (* (cbrt h1) (cbrt h1))) (/ (/ (sqrt (- h0 (cos h1))) h1) (cbrt h1)) (/ (/ (sqrt (- h0 (cos h1))) 1) (sqrt h1)) (/ (/ (sqrt (- h0 (cos h1))) h1) (sqrt h1)) (/ (/ (sqrt (- h0 (cos h1))) 1) 1) (/ (/ (sqrt (- h0 (cos h1))) h1) h1) (/ (/ 1 (* (cbrt h1) (cbrt h1))) (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 (cos h1)) (cbrt h1)) (cbrt h1)) (/ (/ 1 (* (cbrt h1) (cbrt h1))) (sqrt h1)) (/ (/ (- h0 (cos h1)) (cbrt h1)) (sqrt h1)) (/ (/ 1 (* (cbrt h1) (cbrt h1))) 1) (/ (/ (- h0 (cos h1)) (cbrt h1)) h1) (/ (/ 1 (sqrt h1)) (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 (cos h1)) (sqrt h1)) (cbrt h1)) (/ (/ 1 (sqrt h1)) (sqrt h1)) (/ (/ (- h0 (cos h1)) (sqrt h1)) (sqrt h1)) (/ (/ 1 (sqrt h1)) 1) (/ (/ (- h0 (cos h1)) (sqrt h1)) h1) (/ (/ 1 1) (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 (cos h1)) h1) (cbrt h1)) (/ (/ 1 1) (sqrt h1)) (/ (/ (- h0 (cos h1)) h1) (sqrt h1)) (/ (/ 1 1) 1) (/ (/ (- h0 (cos h1)) h1) h1) (/ (/ (+ (sqrt h0) (sqrt (cos h1))) (* (cbrt h1) (cbrt h1))) (* (cbrt h1) (cbrt h1))) (/ (/ (- (sqrt h0) (sqrt (cos h1))) (cbrt h1)) (cbrt h1)) (/ (/ (+ (sqrt h0) (sqrt (cos h1))) (* (cbrt h1) (cbrt h1))) (sqrt h1)) (/ (/ (- (sqrt h0) (sqrt (cos h1))) (cbrt h1)) (sqrt h1)) (/ (/ (+ (sqrt h0) (sqrt (cos h1))) (* (cbrt h1) (cbrt h1))) 1) (/ (/ (- (sqrt h0) (sqrt (cos h1))) (cbrt h1)) h1) (/ (/ (+ (sqrt h0) (sqrt (cos h1))) (sqrt h1)) (* (cbrt h1) (cbrt h1))) (/ (/ (- (sqrt h0) (sqrt (cos h1))) (sqrt h1)) (cbrt h1)) (/ (/ (+ (sqrt h0) (sqrt (cos h1))) (sqrt h1)) (sqrt h1)) (/ (/ (- (sqrt h0) (sqrt (cos h1))) (sqrt h1)) (sqrt h1)) (/ (/ (+ (sqrt h0) (sqrt (cos h1))) (sqrt h1)) 1) (/ (/ (- (sqrt h0) (sqrt (cos h1))) (sqrt h1)) h1) (/ (/ (+ (sqrt h0) (sqrt (cos h1))) 1) (* (cbrt h1) (cbrt h1))) (/ (/ (- (sqrt h0) (sqrt (cos h1))) h1) (cbrt h1)) (/ (/ (+ (sqrt h0) (sqrt (cos h1))) 1) (sqrt h1)) (/ (/ (- (sqrt h0) (sqrt (cos h1))) h1) (sqrt h1)) (/ (/ (+ (sqrt h0) (sqrt (cos h1))) 1) 1) (/ (/ (- (sqrt h0) (sqrt (cos h1))) h1) h1) (/ (/ 1 (* (cbrt h1) (cbrt h1))) (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 (cos h1)) (cbrt h1)) (cbrt h1)) (/ (/ 1 (* (cbrt h1) (cbrt h1))) (sqrt h1)) (/ (/ (- h0 (cos h1)) (cbrt h1)) (sqrt h1)) (/ (/ 1 (* (cbrt h1) (cbrt h1))) 1) (/ (/ (- h0 (cos h1)) (cbrt h1)) h1) (/ (/ 1 (sqrt h1)) (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 (cos h1)) (sqrt h1)) (cbrt h1)) (/ (/ 1 (sqrt h1)) (sqrt h1)) (/ (/ (- h0 (cos h1)) (sqrt h1)) (sqrt h1)) (/ (/ 1 (sqrt h1)) 1) (/ (/ (- h0 (cos h1)) (sqrt h1)) h1) (/ (/ 1 1) (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 (cos h1)) h1) (cbrt h1)) (/ (/ 1 1) (sqrt h1)) (/ (/ (- h0 (cos h1)) h1) (sqrt h1)) (/ (/ 1 1) 1) (/ (/ (- h0 (cos h1)) h1) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 (cos h1)) h1) (cbrt h1)) (/ 1 (sqrt h1)) (/ (/ (- h0 (cos h1)) h1) (sqrt h1)) (/ 1 1) (/ (/ (- h0 (cos h1)) h1) h1) (/ (- h0 (cos h1)) (* (cbrt h1) (cbrt h1))) (/ (/ 1 h1) (cbrt h1)) (/ (- h0 (cos h1)) (sqrt h1)) (/ (/ 1 h1) (sqrt h1)) (/ (- h0 (cos h1)) 1) (/ (/ 1 h1) h1) (/ 1 h1) (/ h1 (/ (- h0 (cos h1)) h1)) (/ (/ (- h0 (cos h1)) h1) (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 (cos h1)) h1) (sqrt h1)) (/ (/ (- h0 (cos h1)) h1) 1) (/ h1 (cbrt (/ (- h0 (cos h1)) h1))) (/ h1 (sqrt (/ (- h0 (cos h1)) h1))) (/ h1 (/ (cbrt (- h0 (cos h1))) (cbrt h1))) (/ h1 (/ (cbrt (- h0 (cos h1))) (sqrt h1))) (/ h1 (/ (cbrt (- h0 (cos h1))) h1)) (/ h1 (/ (sqrt (- h0 (cos h1))) (cbrt h1))) (/ h1 (/ (sqrt (- h0 (cos h1))) (sqrt h1))) (/ h1 (/ (sqrt (- h0 (cos h1))) h1)) (/ h1 (/ (- h0 (cos h1)) (cbrt h1))) (/ h1 (/ (- h0 (cos h1)) (sqrt h1))) (/ h1 (/ (- h0 (cos h1)) h1)) (/ h1 (/ (- (sqrt h0) (sqrt (cos h1))) (cbrt h1))) (/ h1 (/ (- (sqrt h0) (sqrt (cos h1))) (sqrt h1))) (/ h1 (/ (- (sqrt h0) (sqrt (cos h1))) h1)) (/ h1 (/ (- h0 (cos h1)) (cbrt h1))) (/ h1 (/ (- h0 (cos h1)) (sqrt h1))) (/ h1 (/ (- h0 (cos h1)) h1)) (/ h1 (/ (- h0 (cos h1)) h1)) (/ h1 (/ 1 h1)) (* h1 h1) (- (+ (* 1/2 (pow h1 2)) (* 1/720 (pow h1 6))) (* 1/24 (pow h1 4))) (- h0 (cos h1)) (- h0 (cos h1)) (- (+ (* 1/2 h1) (* 1/720 (pow h1 5))) (* 1/24 (pow h1 3))) (/ (- h0 (cos h1)) h1) (* -1 (/ (- (cos h1) h0) h1)) (- (+ (* 1/720 (pow h1 4)) 1/2) (* 1/24 (pow h1 2))) (/ (- h0 (cos h1)) (pow h1 2)) (/ (- h0 (cos h1)) (pow h1 2)) 0.821 * * [simplify]: iteration 0 : 592 enodes (cost 1453 ) 0.830 * * [simplify]: iteration 1 : 2212 enodes (cost 1292 ) 0.861 * * [simplify]: iteration 2 : 5001 enodes (cost 1283 ) 0.867 * * * [progress]: adding candidates to table 1.139 * * [progress]: iteration 4 / 4 1.139 * * * [progress]: picking best candidate 1.152 * * * * [pick]: Picked # 1.152 * * * [progress]: localizing error 1.159 * * * [progress]: generating rewritten candidates 1.159 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 1) 1.167 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 1.188 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.207 * * * [progress]: generating series expansions 1.207 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 1) 1.207 * [backup-simplify]: Simplify (- (cos x) 1.0) into (- (cos x) 1.0) 1.207 * [approximate]: Taking taylor expansion of (- (cos x) 1.0) in (x) around 0 1.207 * [taylor]: Taking taylor expansion of (- (cos x) 1.0) in x 1.207 * [taylor]: Taking taylor expansion of (cos x) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [taylor]: Taking taylor expansion of 1.0 in x 1.207 * [backup-simplify]: Simplify 1.0 into 1.0 1.207 * [taylor]: Taking taylor expansion of (- (cos x) 1.0) in x 1.207 * [taylor]: Taking taylor expansion of (cos x) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [taylor]: Taking taylor expansion of 1.0 in x 1.207 * [backup-simplify]: Simplify 1.0 into 1.0 1.208 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.209 * [backup-simplify]: Simplify (+ 1 (- 1.0)) into 0 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify (+ 0) into 0 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.209 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.210 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.210 * [backup-simplify]: Simplify -1/2 into -1/2 1.211 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.211 * [backup-simplify]: Simplify (- 0) into 0 1.212 * [backup-simplify]: Simplify (+ 0 0) into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.213 * [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 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.214 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.214 * [backup-simplify]: Simplify 1/24 into 1/24 1.215 * [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 1.215 * [backup-simplify]: Simplify (- 0) into 0 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.218 * [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 1.218 * [backup-simplify]: Simplify (- 0) into 0 1.218 * [backup-simplify]: Simplify (+ -1/720 0) into -1/720 1.218 * [backup-simplify]: Simplify -1/720 into -1/720 1.219 * [backup-simplify]: Simplify (+ (* -1/720 (pow x 6)) (+ (* 1/24 (pow x 4)) (* -1/2 (pow x 2)))) into (- (* 1/24 (pow x 4)) (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6)))) 1.219 * [backup-simplify]: Simplify (- (cos (/ 1 x)) 1.0) into (- (cos (/ 1 x)) 1.0) 1.219 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) 1.0) in (x) around 0 1.219 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) 1.0) in x 1.219 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify (/ 1 1) into 1 1.219 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * [backup-simplify]: Simplify 1.0 into 1.0 1.219 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) 1.0) in x 1.219 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ 1 1) into 1 1.220 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [backup-simplify]: Simplify 1.0 into 1.0 1.220 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.220 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) (- 1.0)) into (- (cos (/ 1 x)) 1.0) 1.220 * [backup-simplify]: Simplify (- (cos (/ 1 x)) 1.0) into (- (cos (/ 1 x)) 1.0) 1.221 * [backup-simplify]: Simplify (- 0) into 0 1.221 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (- 0) into 0 1.221 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.223 * [backup-simplify]: Simplify (+ 0 0) into 0 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify (- 0) into 0 1.223 * [backup-simplify]: Simplify (+ 0 0) into 0 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify (- (cos (/ 1 (/ 1 x))) 1.0) into (- (cos x) 1.0) 1.223 * [backup-simplify]: Simplify (- (cos (/ 1 (- x))) 1.0) into (- (cos (/ -1 x)) 1.0) 1.223 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) 1.0) in (x) around 0 1.223 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) 1.0) in x 1.223 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.223 * [taylor]: Taking taylor expansion of -1 in x 1.223 * [backup-simplify]: Simplify -1 into -1 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ -1 1) into -1 1.224 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [backup-simplify]: Simplify 1.0 into 1.0 1.224 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) 1.0) in x 1.224 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.224 * [taylor]: Taking taylor expansion of -1 in x 1.224 * [backup-simplify]: Simplify -1 into -1 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ -1 1) into -1 1.224 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [backup-simplify]: Simplify 1.0 into 1.0 1.225 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.225 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) (- 1.0)) into (- (cos (/ -1 x)) 1.0) 1.225 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 1.225 * [backup-simplify]: Simplify (- 0) into 0 1.225 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify (- 0) into 0 1.226 * [backup-simplify]: Simplify (+ 0 0) into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify (- 0) into 0 1.226 * [backup-simplify]: Simplify (+ 0 0) into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify (- 0) into 0 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (- 0) into 0 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (- 0) into 0 1.228 * [backup-simplify]: Simplify (+ 0 0) into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (- (cos (/ -1 (/ 1 (- x)))) 1.0) into (- (cos x) 1.0) 1.228 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.228 * [backup-simplify]: Simplify (/ (- (cos x) 1.0) x) into (/ (- (cos x) 1.0) x) 1.228 * [approximate]: Taking taylor expansion of (/ (- (cos x) 1.0) x) in (x) around 0 1.228 * [taylor]: Taking taylor expansion of (/ (- (cos x) 1.0) x) in x 1.228 * [taylor]: Taking taylor expansion of (- (cos x) 1.0) in x 1.228 * [taylor]: Taking taylor expansion of (cos x) in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [taylor]: Taking taylor expansion of 1.0 in x 1.228 * [backup-simplify]: Simplify 1.0 into 1.0 1.228 * [taylor]: Taking taylor expansion of x in x 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.229 * [backup-simplify]: Simplify (+ 1 (- 1.0)) into 0 1.229 * [backup-simplify]: Simplify (+ 0) into 0 1.229 * [backup-simplify]: Simplify (- 0) into 0 1.230 * [backup-simplify]: Simplify (+ 0 0) into 0 1.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.230 * [backup-simplify]: Simplify (- 0) into 0 1.231 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.231 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.231 * [taylor]: Taking taylor expansion of (/ (- (cos x) 1.0) x) in x 1.231 * [taylor]: Taking taylor expansion of (- (cos x) 1.0) in x 1.231 * [taylor]: Taking taylor expansion of (cos x) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [taylor]: Taking taylor expansion of 1.0 in x 1.231 * [backup-simplify]: Simplify 1.0 into 1.0 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.232 * [backup-simplify]: Simplify (+ 1 (- 1.0)) into 0 1.232 * [backup-simplify]: Simplify (+ 0) into 0 1.232 * [backup-simplify]: Simplify (- 0) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.233 * [backup-simplify]: Simplify (- 0) into 0 1.233 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.234 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.234 * [backup-simplify]: Simplify -1/2 into -1/2 1.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.235 * [backup-simplify]: Simplify (- 0) into 0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify 0 into 0 1.237 * [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 1.237 * [backup-simplify]: Simplify (- 0) into 0 1.237 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.238 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 1.238 * [backup-simplify]: Simplify 1/24 into 1/24 1.239 * [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 1.239 * [backup-simplify]: Simplify (- 0) into 0 1.239 * [backup-simplify]: Simplify (+ 0 0) into 0 1.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 1.240 * [backup-simplify]: Simplify 0 into 0 1.246 * [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 1.246 * [backup-simplify]: Simplify (- 0) into 0 1.246 * [backup-simplify]: Simplify (+ -1/720 0) into -1/720 1.247 * [backup-simplify]: Simplify (- (/ -1/720 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into -1/720 1.247 * [backup-simplify]: Simplify -1/720 into -1/720 1.248 * [backup-simplify]: Simplify (+ (* -1/720 (pow x 5)) (+ (* 1/24 (pow x 3)) (* -1/2 x))) into (- (* 1/24 (pow x 3)) (+ (* 1/720 (pow x 5)) (* 1/2 x))) 1.248 * [backup-simplify]: Simplify (/ (- (cos (/ 1 x)) 1.0) (/ 1 x)) into (* x (- (cos (/ 1 x)) 1.0)) 1.248 * [approximate]: Taking taylor expansion of (* x (- (cos (/ 1 x)) 1.0)) in (x) around 0 1.248 * [taylor]: Taking taylor expansion of (* x (- (cos (/ 1 x)) 1.0)) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) 1.0) in x 1.248 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (/ 1 1) into 1 1.248 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.248 * [backup-simplify]: Simplify 1.0 into 1.0 1.248 * [taylor]: Taking taylor expansion of (* x (- (cos (/ 1 x)) 1.0)) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) 1.0) in x 1.248 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (/ 1 1) into 1 1.249 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [backup-simplify]: Simplify 1.0 into 1.0 1.249 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.249 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) (- 1.0)) into (- (cos (/ 1 x)) 1.0) 1.249 * [backup-simplify]: Simplify (* 0 (- (cos (/ 1 x)) 1.0)) into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify (- 0) into 0 1.250 * [backup-simplify]: Simplify (+ 0 0) into 0 1.250 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (cos (/ 1 x)) 1.0))) into (- (cos (/ 1 x)) 1.0) 1.250 * [backup-simplify]: Simplify (- (cos (/ 1 x)) 1.0) into (- (cos (/ 1 x)) 1.0) 1.250 * [backup-simplify]: Simplify (- 0) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (cos (/ 1 x)) 1.0)))) into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify (- 0) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0))))) into 0 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify (- 0) into 0 1.253 * [backup-simplify]: Simplify (+ 0 0) into 0 1.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0)))))) into 0 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify (- 0) into 0 1.254 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0))))))) into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify (- 0) into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0)))))))) into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify (- 0) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0))))))))) into 0 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify (* (- (cos (/ 1 (/ 1 x))) 1.0) (/ 1 x)) into (/ (- (cos x) 1.0) x) 1.259 * [backup-simplify]: Simplify (/ (- (cos (/ 1 (- x))) 1.0) (/ 1 (- x))) into (* -1 (* (- (cos (/ -1 x)) 1.0) x)) 1.259 * [approximate]: Taking taylor expansion of (* -1 (* (- (cos (/ -1 x)) 1.0) x)) in (x) around 0 1.259 * [taylor]: Taking taylor expansion of (* -1 (* (- (cos (/ -1 x)) 1.0) x)) in x 1.259 * [taylor]: Taking taylor expansion of -1 in x 1.259 * [backup-simplify]: Simplify -1 into -1 1.259 * [taylor]: Taking taylor expansion of (* (- (cos (/ -1 x)) 1.0) x) in x 1.259 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) 1.0) in x 1.259 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.259 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.259 * [taylor]: Taking taylor expansion of -1 in x 1.259 * [backup-simplify]: Simplify -1 into -1 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (/ -1 1) into -1 1.260 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.260 * [taylor]: Taking taylor expansion of 1.0 in x 1.260 * [backup-simplify]: Simplify 1.0 into 1.0 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [taylor]: Taking taylor expansion of (* -1 (* (- (cos (/ -1 x)) 1.0) x)) in x 1.260 * [taylor]: Taking taylor expansion of -1 in x 1.260 * [backup-simplify]: Simplify -1 into -1 1.260 * [taylor]: Taking taylor expansion of (* (- (cos (/ -1 x)) 1.0) x) in x 1.260 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) 1.0) in x 1.260 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.260 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.260 * [taylor]: Taking taylor expansion of -1 in x 1.260 * [backup-simplify]: Simplify -1 into -1 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (/ -1 1) into -1 1.260 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.260 * [taylor]: Taking taylor expansion of 1.0 in x 1.260 * [backup-simplify]: Simplify 1.0 into 1.0 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.261 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) (- 1.0)) into (- (cos (/ -1 x)) 1.0) 1.261 * [backup-simplify]: Simplify (* (- (cos (/ -1 x)) 1.0) 0) into 0 1.261 * [backup-simplify]: Simplify (* -1 0) into 0 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify (- 0) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 1) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 1.262 * [backup-simplify]: Simplify (+ (* -1 (- (cos (/ -1 x)) 1.0)) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 1.262 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.262 * [backup-simplify]: Simplify (- 0) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 1) (* 0 0))) into 0 1.264 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0))) into 0 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify (- 0) into 0 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.265 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.265 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0)))) into 0 1.265 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify (- 0) into 0 1.266 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.267 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0))))) into 0 1.267 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify (- 0) into 0 1.268 * [backup-simplify]: Simplify (+ 0 0) into 0 1.268 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.269 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0)))))) into 0 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (- 0) into 0 1.270 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.272 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0))))))) into 0 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify (- 0) into 0 1.272 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.275 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0)))))))) into 0 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (/ (- 1.0 (cos x)) x)) 1.275 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.275 * [backup-simplify]: Simplify (/ (* -1 (/ (- (cos x) 1.0) x)) x) into (* -1 (/ (- (cos x) 1.0) (pow x 2))) 1.275 * [approximate]: Taking taylor expansion of (* -1 (/ (- (cos x) 1.0) (pow x 2))) in (x) around 0 1.275 * [taylor]: Taking taylor expansion of (* -1 (/ (- (cos x) 1.0) (pow x 2))) in x 1.275 * [taylor]: Taking taylor expansion of -1 in x 1.275 * [backup-simplify]: Simplify -1 into -1 1.275 * [taylor]: Taking taylor expansion of (/ (- (cos x) 1.0) (pow x 2)) in x 1.275 * [taylor]: Taking taylor expansion of (- (cos x) 1.0) in x 1.275 * [taylor]: Taking taylor expansion of (cos x) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [taylor]: Taking taylor expansion of 1.0 in x 1.275 * [backup-simplify]: Simplify 1.0 into 1.0 1.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.276 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.276 * [backup-simplify]: Simplify (+ 1 (- 1.0)) into 0 1.276 * [backup-simplify]: Simplify (+ 0) into 0 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.277 * [backup-simplify]: Simplify (+ 0 0) into 0 1.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.278 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.278 * [backup-simplify]: Simplify (* 1 1) into 1 1.278 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.278 * [taylor]: Taking taylor expansion of (* -1 (/ (- (cos x) 1.0) (pow x 2))) in x 1.278 * [taylor]: Taking taylor expansion of -1 in x 1.278 * [backup-simplify]: Simplify -1 into -1 1.278 * [taylor]: Taking taylor expansion of (/ (- (cos x) 1.0) (pow x 2)) in x 1.278 * [taylor]: Taking taylor expansion of (- (cos x) 1.0) in x 1.278 * [taylor]: Taking taylor expansion of (cos x) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [backup-simplify]: Simplify 1.0 into 1.0 1.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.279 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.279 * [backup-simplify]: Simplify (+ 1 (- 1.0)) into 0 1.279 * [backup-simplify]: Simplify (+ 0) into 0 1.280 * [backup-simplify]: Simplify (- 0) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.281 * [backup-simplify]: Simplify (- 0) into 0 1.281 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.281 * [backup-simplify]: Simplify (* 1 1) into 1 1.281 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.282 * [backup-simplify]: Simplify (* -1 -1/2) into 1/2 1.282 * [backup-simplify]: Simplify 1/2 into 1/2 1.282 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.282 * [backup-simplify]: Simplify (- 0) into 0 1.283 * [backup-simplify]: Simplify (+ 0 0) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.284 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1/2)) into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.285 * [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 1.286 * [backup-simplify]: Simplify (- 0) into 0 1.286 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 1.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.287 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 1.287 * [backup-simplify]: Simplify (+ (* -1 1/24) (+ (* 0 0) (* 0 -1/2))) into -1/24 1.287 * [backup-simplify]: Simplify -1/24 into -1/24 1.289 * [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 1.289 * [backup-simplify]: Simplify (- 0) into 0 1.289 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 1.291 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1/24) (+ (* 0 0) (* 0 -1/2)))) into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.294 * [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 1.294 * [backup-simplify]: Simplify (- 0) into 0 1.294 * [backup-simplify]: Simplify (+ -1/720 0) into -1/720 1.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.295 * [backup-simplify]: Simplify (- (/ -1/720 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into -1/720 1.296 * [backup-simplify]: Simplify (+ (* -1 -1/720) (+ (* 0 0) (+ (* 0 1/24) (+ (* 0 0) (* 0 -1/2))))) into 1/720 1.296 * [backup-simplify]: Simplify 1/720 into 1/720 1.297 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.297 * [backup-simplify]: Simplify (/ (* -1 (/ (- (cos (/ 1 x)) 1.0) (/ 1 x))) (/ 1 x)) into (* -1 (* (pow x 2) (- (cos (/ 1 x)) 1.0))) 1.297 * [approximate]: Taking taylor expansion of (* -1 (* (pow x 2) (- (cos (/ 1 x)) 1.0))) in (x) around 0 1.297 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) (- (cos (/ 1 x)) 1.0))) in x 1.297 * [taylor]: Taking taylor expansion of -1 in x 1.297 * [backup-simplify]: Simplify -1 into -1 1.297 * [taylor]: Taking taylor expansion of (* (pow x 2) (- (cos (/ 1 x)) 1.0)) in x 1.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) 1.0) in x 1.297 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [backup-simplify]: Simplify (/ 1 1) into 1 1.297 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [backup-simplify]: Simplify 1.0 into 1.0 1.297 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) (- (cos (/ 1 x)) 1.0))) in x 1.297 * [taylor]: Taking taylor expansion of -1 in x 1.297 * [backup-simplify]: Simplify -1 into -1 1.297 * [taylor]: Taking taylor expansion of (* (pow x 2) (- (cos (/ 1 x)) 1.0)) in x 1.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) 1.0) in x 1.298 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [backup-simplify]: Simplify (/ 1 1) into 1 1.298 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [backup-simplify]: Simplify 1.0 into 1.0 1.298 * [backup-simplify]: Simplify (* 1 1) into 1 1.298 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.299 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) (- 1.0)) into (- (cos (/ 1 x)) 1.0) 1.299 * [backup-simplify]: Simplify (* 1 (- (cos (/ 1 x)) 1.0)) into (- (cos (/ 1 x)) 1.0) 1.299 * [backup-simplify]: Simplify (* -1 (- (cos (/ 1 x)) 1.0)) into (* -1 (- (cos (/ 1 x)) 1.0)) 1.299 * [backup-simplify]: Simplify (* -1 (- (cos (/ 1 x)) 1.0)) into (* -1 (- (cos (/ 1 x)) 1.0)) 1.299 * [backup-simplify]: Simplify (- 0) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- (cos (/ 1 x)) 1.0))) into 0 1.300 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (- (cos (/ 1 x)) 1.0))) into 0 1.300 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0)))) into 0 1.302 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0)))) into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify (- 0) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0))))) into 0 1.305 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0))))) into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify (- 0) into 0 1.305 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0)))))) into 0 1.308 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0)))))) into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (- 0) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0))))))) into 0 1.311 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0))))))) into 0 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify (- 0) into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0)))))))) into 0 1.315 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 x)) 1.0)))))))) into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify (* (* -1 (- (cos (/ 1 (/ 1 x))) 1.0)) (pow (/ 1 x) 2)) into (* -1 (/ (- (cos x) 1.0) (pow x 2))) 1.315 * [backup-simplify]: Simplify (/ (* -1 (/ (- (cos (/ 1 (- x))) 1.0) (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- (cos (/ -1 x)) 1.0) (pow x 2))) 1.315 * [approximate]: Taking taylor expansion of (* -1 (* (- (cos (/ -1 x)) 1.0) (pow x 2))) in (x) around 0 1.316 * [taylor]: Taking taylor expansion of (* -1 (* (- (cos (/ -1 x)) 1.0) (pow x 2))) in x 1.316 * [taylor]: Taking taylor expansion of -1 in x 1.316 * [backup-simplify]: Simplify -1 into -1 1.316 * [taylor]: Taking taylor expansion of (* (- (cos (/ -1 x)) 1.0) (pow x 2)) in x 1.316 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) 1.0) in x 1.316 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.316 * [taylor]: Taking taylor expansion of -1 in x 1.316 * [backup-simplify]: Simplify -1 into -1 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (/ -1 1) into -1 1.316 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [backup-simplify]: Simplify 1.0 into 1.0 1.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [taylor]: Taking taylor expansion of (* -1 (* (- (cos (/ -1 x)) 1.0) (pow x 2))) in x 1.316 * [taylor]: Taking taylor expansion of -1 in x 1.316 * [backup-simplify]: Simplify -1 into -1 1.316 * [taylor]: Taking taylor expansion of (* (- (cos (/ -1 x)) 1.0) (pow x 2)) in x 1.316 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) 1.0) in x 1.316 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.316 * [taylor]: Taking taylor expansion of -1 in x 1.316 * [backup-simplify]: Simplify -1 into -1 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.317 * [backup-simplify]: Simplify (/ -1 1) into -1 1.317 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.317 * [backup-simplify]: Simplify 1.0 into 1.0 1.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 1 into 1 1.317 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.317 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) (- 1.0)) into (- (cos (/ -1 x)) 1.0) 1.317 * [backup-simplify]: Simplify (* 1 1) into 1 1.318 * [backup-simplify]: Simplify (* (- (cos (/ -1 x)) 1.0) 1) into (- (cos (/ -1 x)) 1.0) 1.318 * [backup-simplify]: Simplify (* -1 (- (cos (/ -1 x)) 1.0)) into (* -1 (- (cos (/ -1 x)) 1.0)) 1.318 * [backup-simplify]: Simplify (* -1 (- (cos (/ -1 x)) 1.0)) into (* -1 (- (cos (/ -1 x)) 1.0)) 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.318 * [backup-simplify]: Simplify (- 0) into 0 1.318 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (* 0 1)) into 0 1.319 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (- (cos (/ -1 x)) 1.0))) into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.320 * [backup-simplify]: Simplify (- 0) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.320 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (* 0 1))) into 0 1.321 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (cos (/ -1 x)) 1.0)))) into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (- 0) into 0 1.322 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 x)) 1.0))))) into 0 1.323 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.324 * [backup-simplify]: Simplify (- 0) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.326 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 x)) 1.0)))))) into 0 1.326 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.328 * [backup-simplify]: Simplify (- 0) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.330 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 x)) 1.0))))))) into 0 1.330 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.331 * [backup-simplify]: Simplify (- 0) into 0 1.331 * [backup-simplify]: Simplify (+ 0 0) into 0 1.332 * [backup-simplify]: Simplify (+ (* (- (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.339 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 x)) 1.0)))))))) into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (* (* -1 (- (cos (/ -1 (/ 1 (- x)))) 1.0)) (pow (/ 1 (- x)) 2)) into (* -1 (/ (- (cos x) 1.0) (pow x 2))) 1.339 * * * [progress]: simplifying candidates 1.340 * [simplify]: Simplifying: (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (sqrt 1.0) (sqrt 1.0)))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* 1.0 1))) (fma (- 1.0) 1 (* 1.0 1)) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (sqrt 1.0) (sqrt 1.0)))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* 1.0 1))) (fma (- 1.0) 1 (* 1.0 1)) (fma 1 (cos x) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) (fma 1 (cos x) (- (* (sqrt 1.0) (sqrt 1.0)))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) (fma 1 (cos x) (- (* 1.0 1))) (fma (- 1.0) 1 (* 1.0 1)) (expm1 (- (cos x) 1.0)) (log1p (- (cos x) 1.0)) (- 1.0) (- 1.0) (- 1.0) (/ (exp (cos x)) (exp 1.0)) (log (- (cos x) 1.0)) (exp (- (cos x) 1.0)) (* (cbrt (- (cos x) 1.0)) (cbrt (- (cos x) 1.0))) (cbrt (- (cos x) 1.0)) (* (* (- (cos x) 1.0) (- (cos x) 1.0)) (- (cos x) 1.0)) (sqrt (- (cos x) 1.0)) (sqrt (- (cos x) 1.0)) (- (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (+ (* 1.0 1.0) (* (cos x) 1.0))) (- 1.0) (- (* (cos x) (cos x)) (* 1.0 1.0)) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt (cos x)) (sqrt 1.0)) (- (cos x) 1.0) (- 1.0) (expm1 (/ (- (cos x) 1.0) x)) (log1p (/ (- (cos x) 1.0) x)) (- (log (- (cos x) 1.0)) (log x)) (log (/ (- (cos x) 1.0) x)) (exp (/ (- (cos x) 1.0) x)) (/ (* (* (- (cos x) 1.0) (- (cos x) 1.0)) (- (cos x) 1.0)) (* (* x x) x)) (* (cbrt (/ (- (cos x) 1.0) x)) (cbrt (/ (- (cos x) 1.0) x))) (cbrt (/ (- (cos x) 1.0) x)) (* (* (/ (- (cos x) 1.0) x) (/ (- (cos x) 1.0) x)) (/ (- (cos x) 1.0) x)) (sqrt (/ (- (cos x) 1.0) x)) (sqrt (/ (- (cos x) 1.0) x)) (- (- (cos x) 1.0)) (- x) (/ (cos x) x) (/ 1.0 x) (/ (* (cbrt (- (cos x) 1.0)) (cbrt (- (cos x) 1.0))) (* (cbrt x) (cbrt x))) (/ (cbrt (- (cos x) 1.0)) (cbrt x)) (/ (* (cbrt (- (cos x) 1.0)) (cbrt (- (cos x) 1.0))) (sqrt x)) (/ (cbrt (- (cos x) 1.0)) (sqrt x)) (/ (* (cbrt (- (cos x) 1.0)) (cbrt (- (cos x) 1.0))) 1) (/ (cbrt (- (cos x) 1.0)) x) (/ (sqrt (- (cos x) 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (cos x) 1.0)) (cbrt x)) (/ (sqrt (- (cos x) 1.0)) (sqrt x)) (/ (sqrt (- (cos x) 1.0)) (sqrt x)) (/ (sqrt (- (cos x) 1.0)) 1) (/ (sqrt (- (cos x) 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- (cos x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (- (cos x) 1.0) (sqrt x)) (/ 1 1) (/ (- (cos x) 1.0) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (- (sqrt (cos x)) (sqrt 1.0)) (cbrt x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) 1) (/ (- (sqrt (cos x)) (sqrt 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- (cos x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (- (cos x) 1.0) (sqrt x)) (/ 1 1) (/ (- (cos x) 1.0) x) (/ 1 x) (/ x (- (cos x) 1.0)) (/ (- (cos x) 1.0) (* (cbrt x) (cbrt x))) (/ (- (cos x) 1.0) (sqrt x)) (/ (- (cos x) 1.0) 1) (/ x (cbrt (- (cos x) 1.0))) (/ x (sqrt (- (cos x) 1.0))) (/ x (- (cos x) 1.0)) (/ x (- (sqrt (cos x)) (sqrt 1.0))) (/ x (- (cos x) 1.0)) (* x (+ (* (cos x) (cos x)) (+ (* 1.0 1.0) (* (cos x) 1.0)))) (* x (+ (cos x) 1.0)) (expm1 (/ (* -1 (/ (- (cos x) 1.0) x)) x)) (log1p (/ (* -1 (/ (- (cos x) 1.0) x)) x)) (- (+ (log -1) (- (log (- (cos x) 1.0)) (log x))) (log x)) (- (+ (log -1) (log (/ (- (cos x) 1.0) x))) (log x)) (- (log (* -1 (/ (- (cos x) 1.0) x))) (log x)) (log (/ (* -1 (/ (- (cos x) 1.0) x)) x)) (exp (/ (* -1 (/ (- (cos x) 1.0) x)) x)) (/ (* (* (* -1 -1) -1) (/ (* (* (- (cos x) 1.0) (- (cos x) 1.0)) (- (cos x) 1.0)) (* (* x x) x))) (* (* x x) x)) (/ (* (* (* -1 -1) -1) (* (* (/ (- (cos x) 1.0) x) (/ (- (cos x) 1.0) x)) (/ (- (cos x) 1.0) x))) (* (* x x) x)) (/ (* (* (* -1 (/ (- (cos x) 1.0) x)) (* -1 (/ (- (cos x) 1.0) x))) (* -1 (/ (- (cos x) 1.0) x))) (* (* x x) x)) (* (cbrt (/ (* -1 (/ (- (cos x) 1.0) x)) x)) (cbrt (/ (* -1 (/ (- (cos x) 1.0) x)) x))) (cbrt (/ (* -1 (/ (- (cos x) 1.0) x)) x)) (* (* (/ (* -1 (/ (- (cos x) 1.0) x)) x) (/ (* -1 (/ (- (cos x) 1.0) x)) x)) (/ (* -1 (/ (- (cos x) 1.0) x)) x)) (sqrt (/ (* -1 (/ (- (cos x) 1.0) x)) x)) (sqrt (/ (* -1 (/ (- (cos x) 1.0) x)) x)) (- (* -1 (/ (- (cos x) 1.0) x))) (- x) (/ -1 (* (cbrt x) (cbrt x))) (/ (/ (- (cos x) 1.0) x) (cbrt x)) (/ -1 (sqrt x)) (/ (/ (- (cos x) 1.0) x) (sqrt x)) (/ -1 1) (/ (/ (- (cos x) 1.0) x) x) (/ 1 x) (/ x (* -1 (/ (- (cos x) 1.0) x))) (/ (/ (- (cos x) 1.0) x) x) (/ (* -1 (/ (- (cos x) 1.0) x)) (* (cbrt x) (cbrt x))) (/ (* -1 (/ (- (cos x) 1.0) x)) (sqrt x)) (/ (* -1 (/ (- (cos x) 1.0) x)) 1) (/ x (/ (- (cos x) 1.0) x)) (* x x) (- (* 1/24 (pow x 4)) (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6)))) (- (cos x) 1.0) (- (cos x) 1.0) (- (* 1/24 (pow x 3)) (+ (* 1/720 (pow x 5)) (* 1/2 x))) (/ (- (cos x) 1.0) x) (* -1 (/ (- 1.0 (cos x)) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* -1 (/ (- (cos x) 1.0) (pow x 2))) (* -1 (/ (- (cos x) 1.0) (pow x 2))) 1.341 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma 1 (cos h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma 1 (cos h0) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma 1 (cos h0) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (expm1 (- (cos h0) h1)) (log1p (- (cos h0) h1)) (- h1) (- h1) (- h1) (/ (exp (cos h0)) (exp h1)) (log (- (cos h0) h1)) (exp (- (cos h0) h1)) (* (cbrt (- (cos h0) h1)) (cbrt (- (cos h0) h1))) (cbrt (- (cos h0) h1)) (* (* (- (cos h0) h1) (- (cos h0) h1)) (- (cos h0) h1)) (sqrt (- (cos h0) h1)) (sqrt (- (cos h0) h1)) (- (pow (cos h0) 3) (pow h1 3)) (+ (* (cos h0) (cos h0)) (+ (* h1 h1) (* (cos h0) h1))) (- h1) (- (* (cos h0) (cos h0)) (* h1 h1)) (+ (cos h0) h1) (+ (sqrt (cos h0)) (sqrt h1)) (- (sqrt (cos h0)) (sqrt h1)) (- (cos h0) h1) (- h1) (expm1 (/ (- (cos h0) h1) h0)) (log1p (/ (- (cos h0) h1) h0)) (- (log (- (cos h0) h1)) (log h0)) (log (/ (- (cos h0) h1) h0)) (exp (/ (- (cos h0) h1) h0)) (/ (* (* (- (cos h0) h1) (- (cos h0) h1)) (- (cos h0) h1)) (* (* h0 h0) h0)) (* (cbrt (/ (- (cos h0) h1) h0)) (cbrt (/ (- (cos h0) h1) h0))) (cbrt (/ (- (cos h0) h1) h0)) (* (* (/ (- (cos h0) h1) h0) (/ (- (cos h0) h1) h0)) (/ (- (cos h0) h1) h0)) (sqrt (/ (- (cos h0) h1) h0)) (sqrt (/ (- (cos h0) h1) h0)) (- (- (cos h0) h1)) (- h0) (/ (cos h0) h0) (/ h1 h0) (/ (* (cbrt (- (cos h0) h1)) (cbrt (- (cos h0) h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (- (cos h0) h1)) (cbrt h0)) (/ (* (cbrt (- (cos h0) h1)) (cbrt (- (cos h0) h1))) (sqrt h0)) (/ (cbrt (- (cos h0) h1)) (sqrt h0)) (/ (* (cbrt (- (cos h0) h1)) (cbrt (- (cos h0) h1))) 1) (/ (cbrt (- (cos h0) h1)) h0) (/ (sqrt (- (cos h0) h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- (cos h0) h1)) (cbrt h0)) (/ (sqrt (- (cos h0) h1)) (sqrt h0)) (/ (sqrt (- (cos h0) h1)) (sqrt h0)) (/ (sqrt (- (cos h0) h1)) 1) (/ (sqrt (- (cos h0) h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (- (cos h0) h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (- (cos h0) h1) (sqrt h0)) (/ 1 1) (/ (- (cos h0) h1) h0) (/ (+ (sqrt (cos h0)) (sqrt h1)) (* (cbrt h0) (cbrt h0))) (/ (- (sqrt (cos h0)) (sqrt h1)) (cbrt h0)) (/ (+ (sqrt (cos h0)) (sqrt h1)) (sqrt h0)) (/ (- (sqrt (cos h0)) (sqrt h1)) (sqrt h0)) (/ (+ (sqrt (cos h0)) (sqrt h1)) 1) (/ (- (sqrt (cos h0)) (sqrt h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (- (cos h0) h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (- (cos h0) h1) (sqrt h0)) (/ 1 1) (/ (- (cos h0) h1) h0) (/ 1 h0) (/ h0 (- (cos h0) h1)) (/ (- (cos h0) h1) (* (cbrt h0) (cbrt h0))) (/ (- (cos h0) h1) (sqrt h0)) (/ (- (cos h0) h1) 1) (/ h0 (cbrt (- (cos h0) h1))) (/ h0 (sqrt (- (cos h0) h1))) (/ h0 (- (cos h0) h1)) (/ h0 (- (sqrt (cos h0)) (sqrt h1))) (/ h0 (- (cos h0) h1)) (* h0 (+ (* (cos h0) (cos h0)) (+ (* h1 h1) (* (cos h0) h1)))) (* h0 (+ (cos h0) h1)) (expm1 (/ (* -1 (/ (- (cos h0) h1) h0)) h0)) (log1p (/ (* -1 (/ (- (cos h0) h1) h0)) h0)) (- (+ (log -1) (- (log (- (cos h0) h1)) (log h0))) (log h0)) (- (+ (log -1) (log (/ (- (cos h0) h1) h0))) (log h0)) (- (log (* -1 (/ (- (cos h0) h1) h0))) (log h0)) (log (/ (* -1 (/ (- (cos h0) h1) h0)) h0)) (exp (/ (* -1 (/ (- (cos h0) h1) h0)) h0)) (/ (* (* (* -1 -1) -1) (/ (* (* (- (cos h0) h1) (- (cos h0) h1)) (- (cos h0) h1)) (* (* h0 h0) h0))) (* (* h0 h0) h0)) (/ (* (* (* -1 -1) -1) (* (* (/ (- (cos h0) h1) h0) (/ (- (cos h0) h1) h0)) (/ (- (cos h0) h1) h0))) (* (* h0 h0) h0)) (/ (* (* (* -1 (/ (- (cos h0) h1) h0)) (* -1 (/ (- (cos h0) h1) h0))) (* -1 (/ (- (cos h0) h1) h0))) (* (* h0 h0) h0)) (* (cbrt (/ (* -1 (/ (- (cos h0) h1) h0)) h0)) (cbrt (/ (* -1 (/ (- (cos h0) h1) h0)) h0))) (cbrt (/ (* -1 (/ (- (cos h0) h1) h0)) h0)) (* (* (/ (* -1 (/ (- (cos h0) h1) h0)) h0) (/ (* -1 (/ (- (cos h0) h1) h0)) h0)) (/ (* -1 (/ (- (cos h0) h1) h0)) h0)) (sqrt (/ (* -1 (/ (- (cos h0) h1) h0)) h0)) (sqrt (/ (* -1 (/ (- (cos h0) h1) h0)) h0)) (- (* -1 (/ (- (cos h0) h1) h0))) (- h0) (/ -1 (* (cbrt h0) (cbrt h0))) (/ (/ (- (cos h0) h1) h0) (cbrt h0)) (/ -1 (sqrt h0)) (/ (/ (- (cos h0) h1) h0) (sqrt h0)) (/ -1 1) (/ (/ (- (cos h0) h1) h0) h0) (/ 1 h0) (/ h0 (* -1 (/ (- (cos h0) h1) h0))) (/ (/ (- (cos h0) h1) h0) h0) (/ (* -1 (/ (- (cos h0) h1) h0)) (* (cbrt h0) (cbrt h0))) (/ (* -1 (/ (- (cos h0) h1) h0)) (sqrt h0)) (/ (* -1 (/ (- (cos h0) h1) h0)) 1) (/ h0 (/ (- (cos h0) h1) h0)) (* h0 h0) (- (* 1/24 (pow h0 4)) (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6)))) (- (cos h0) h1) (- (cos h0) h1) (- (* 1/24 (pow h0 3)) (+ (* 1/720 (pow h0 5)) (* 1/2 h0))) (/ (- (cos h0) h1) h0) (* -1 (/ (- h1 (cos h0)) h0)) (- (+ (* 1/720 (pow h0 4)) 1/2) (* 1/24 (pow h0 2))) (* -1 (/ (- (cos h0) h1) (pow h0 2))) (* -1 (/ (- (cos h0) h1) (pow h0 2))) 1.346 * * [simplify]: iteration 0 : 446 enodes (cost 680 ) 1.354 * * [simplify]: iteration 1 : 2049 enodes (cost 544 ) 1.391 * * [simplify]: iteration 2 : 5001 enodes (cost 536 ) 1.394 * * * [progress]: adding candidates to table 1.566 * [progress]: [Phase 3 of 3] Extracting. 1.566 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.567 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.567 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.611 * * * [regime]: Found split indices: #