6.056 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.048 * [simplify]: Sending expressions to egg_math: (/ (- h0 (cos h1)) (* h1 h1)) 0.050 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.051 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.053 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.054 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.055 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.089 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.089 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.089 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [backup-simplify]: Simplify 1.0 into 1.0 0.089 * [taylor]: Taking taylor expansion of (cos x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (- 1) into -1 0.090 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.095 * [backup-simplify]: Simplify (+ 0) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.096 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.097 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.097 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [backup-simplify]: Simplify 1.0 into 1.0 0.097 * [taylor]: Taking taylor expansion of (cos x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (- 1) into -1 0.098 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.098 * [backup-simplify]: Simplify (+ 0) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.099 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.100 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.100 * [backup-simplify]: Simplify 1/2 into 1/2 0.101 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.104 * [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 0.104 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.104 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.105 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.105 * [backup-simplify]: Simplify -1/24 into -1/24 0.107 * [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 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.111 * [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 0.111 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.111 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.113 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.113 * [backup-simplify]: Simplify 1/720 into 1/720 0.113 * [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))) 0.113 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.113 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.113 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [backup-simplify]: Simplify 1.0 into 1.0 0.113 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.114 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [backup-simplify]: Simplify 1.0 into 1.0 0.114 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.115 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.115 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.115 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.117 * [backup-simplify]: Simplify 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 1))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.127 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.127 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.127 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.127 * [taylor]: Taking taylor expansion of -1 in x 0.127 * [backup-simplify]: Simplify -1 into -1 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (/ -1 1) into -1 0.128 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [backup-simplify]: Simplify 1.0 into 1.0 0.128 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.128 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.128 * [taylor]: Taking taylor expansion of -1 in x 0.128 * [backup-simplify]: Simplify -1 into -1 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (/ -1 1) into -1 0.128 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.128 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.129 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.139 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.139 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.139 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.139 * [taylor]: Taking taylor expansion of (cos x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.139 * [taylor]: Taking taylor expansion of (cos x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (- 1) into -1 0.139 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ 0) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.141 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.141 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.141 * [backup-simplify]: Simplify 1/2 into 1/2 0.142 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.144 * [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 0.144 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.144 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.144 * [backup-simplify]: Simplify -1/24 into -1/24 0.145 * [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 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.148 * [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 0.148 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.149 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.149 * [backup-simplify]: Simplify 1/720 into 1/720 0.149 * [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))) 0.149 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.149 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.149 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 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 (/ 1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 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 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [backup-simplify]: Simplify 1.0 into 1.0 0.150 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.150 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.150 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.150 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.153 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.153 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.153 * [taylor]: Taking taylor expansion of -1 in x 0.153 * [backup-simplify]: Simplify -1 into -1 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ -1 1) into -1 0.154 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.154 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [backup-simplify]: Simplify 1.0 into 1.0 0.154 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.154 * [taylor]: Taking taylor expansion of -1 in x 0.154 * [backup-simplify]: Simplify -1 into -1 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ -1 1) into -1 0.154 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.154 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.154 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.155 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.157 * * * [progress]: simplifying candidates 0.158 * [simplify]: Simplifying: (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.158 * [simplify]: Sending expressions to egg_math: (- (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))) (/ (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)) 0.162 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.166 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.177 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.217 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.219 * * * [progress]: adding candidates to table 0.313 * * [progress]: iteration 2 / 4 0.313 * * * [progress]: picking best candidate 0.331 * * * * [pick]: Picked # 0.331 * * * [progress]: localizing error 0.339 * * * [progress]: generating rewritten candidates 0.339 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.345 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.350 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.413 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.440 * * * [progress]: generating series expansions 0.440 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.440 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.440 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [backup-simplify]: Simplify 1.0 into 1.0 0.440 * [taylor]: Taking taylor expansion of (cos x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [backup-simplify]: Simplify 1.0 into 1.0 0.440 * [taylor]: Taking taylor expansion of (cos x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (- 1) into -1 0.441 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (+ 0) into 0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.443 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.443 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.443 * [backup-simplify]: Simplify 1/2 into 1/2 0.444 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [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 0.446 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.446 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.446 * [backup-simplify]: Simplify -1/24 into -1/24 0.447 * [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 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.450 * [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 0.450 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.451 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.451 * [backup-simplify]: Simplify 1/720 into 1/720 0.451 * [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))) 0.451 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.451 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [backup-simplify]: Simplify 1.0 into 1.0 0.451 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.452 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [backup-simplify]: Simplify 1.0 into 1.0 0.452 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.452 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.452 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.452 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.452 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.455 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.455 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [backup-simplify]: Simplify 1.0 into 1.0 0.455 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [backup-simplify]: Simplify -1 into -1 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ -1 1) into -1 0.456 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.456 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [backup-simplify]: Simplify 1.0 into 1.0 0.456 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.456 * [backup-simplify]: Simplify -1 into -1 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ -1 1) into -1 0.456 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.456 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.456 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.456 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.459 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.459 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.459 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.459 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [backup-simplify]: Simplify 1.0 into 1.0 0.459 * [taylor]: Taking taylor expansion of (cos x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [backup-simplify]: Simplify 1.0 into 1.0 0.459 * [taylor]: Taking taylor expansion of (cos x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (- 1) into -1 0.460 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ 0) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.462 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.462 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.462 * [backup-simplify]: Simplify 1/2 into 1/2 0.462 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [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 0.465 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.465 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.465 * [backup-simplify]: Simplify -1/24 into -1/24 0.466 * [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 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.469 * [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 0.469 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.470 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.470 * [backup-simplify]: Simplify 1/720 into 1/720 0.470 * [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))) 0.470 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.470 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.470 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [backup-simplify]: Simplify 1.0 into 1.0 0.470 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.471 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [backup-simplify]: Simplify 1.0 into 1.0 0.471 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.471 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.471 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.471 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.474 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.474 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [backup-simplify]: Simplify 1.0 into 1.0 0.474 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [backup-simplify]: Simplify -1 into -1 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ -1 1) into -1 0.475 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.475 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [backup-simplify]: Simplify 1.0 into 1.0 0.475 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.475 * [taylor]: Taking taylor expansion of -1 in x 0.475 * [backup-simplify]: Simplify -1 into -1 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ -1 1) into -1 0.475 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.475 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.475 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.475 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.478 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.478 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.479 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.479 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [backup-simplify]: Simplify 1.0 into 1.0 0.479 * [taylor]: Taking taylor expansion of (cos x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (- 1) into -1 0.479 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.479 * [backup-simplify]: Simplify (+ 0) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.481 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.481 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.481 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.481 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [backup-simplify]: Simplify 1.0 into 1.0 0.481 * [taylor]: Taking taylor expansion of (cos x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (- 1) into -1 0.482 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.482 * [backup-simplify]: Simplify (+ 0) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.483 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.484 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.484 * [backup-simplify]: Simplify 1/2 into 1/2 0.485 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [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 0.493 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.493 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.494 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.494 * [backup-simplify]: Simplify -1/24 into -1/24 0.495 * [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 0.496 * [backup-simplify]: Simplify (- 0) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.500 * [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 0.500 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.500 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.502 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.502 * [backup-simplify]: Simplify 1/720 into 1/720 0.502 * [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))) 0.502 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.502 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [backup-simplify]: Simplify 1.0 into 1.0 0.502 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.503 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [backup-simplify]: Simplify 1.0 into 1.0 0.503 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.504 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.504 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.504 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.504 * [backup-simplify]: Simplify (- 0) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (- 0) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.511 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.515 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.515 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.515 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [backup-simplify]: Simplify 1.0 into 1.0 0.516 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [backup-simplify]: Simplify -1 into -1 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ -1 1) into -1 0.516 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.516 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [backup-simplify]: Simplify 1.0 into 1.0 0.516 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [backup-simplify]: Simplify -1 into -1 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ -1 1) into -1 0.516 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.517 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.517 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- 0) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- 0) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.527 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.527 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos x))) x) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.527 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.527 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.527 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.527 * [taylor]: Taking taylor expansion of 1.0 in x 0.527 * [backup-simplify]: Simplify 1.0 into 1.0 0.527 * [taylor]: Taking taylor expansion of (cos x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (- 1) into -1 0.528 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.528 * [backup-simplify]: Simplify (+ 0) into 0 0.528 * [backup-simplify]: Simplify (- 0) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.529 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.530 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.530 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.530 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.531 * [backup-simplify]: Simplify (- 0) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.532 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [backup-simplify]: Simplify 1.0 into 1.0 0.532 * [taylor]: Taking taylor expansion of (cos x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (- 1) into -1 0.532 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.533 * [backup-simplify]: Simplify (+ 0) into 0 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.534 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.534 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.534 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.535 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.535 * [backup-simplify]: Simplify (- 0) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (* (sqrt 1/2) 1) into (sqrt 1/2) 0.537 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 1)) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [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 0.540 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.540 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.542 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 0.545 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/48 (sqrt 1/2)) 1))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 0.546 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [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 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 0.550 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (* 0 1)))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [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 0.553 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.554 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.557 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 0.570 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 0.573 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 0.583 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 0.584 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (cos (/ 1 x))))) 0.584 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.584 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.584 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [backup-simplify]: Simplify 1.0 into 1.0 0.584 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ 1 1) into 1 0.584 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.584 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.584 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.584 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.585 * [backup-simplify]: Simplify (- 0) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.585 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.585 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [backup-simplify]: Simplify 1.0 into 1.0 0.585 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.586 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.586 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.586 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.586 * [backup-simplify]: Simplify (- 0) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.586 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ 1 x))))) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ 1 x)))))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.587 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 0.587 * [backup-simplify]: Simplify (- 0) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (- 0) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (- 0) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (- 0) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))))) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.599 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) 0.599 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.599 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [backup-simplify]: Simplify -1 into -1 0.599 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.599 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.599 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [backup-simplify]: Simplify 1.0 into 1.0 0.600 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.600 * [taylor]: Taking taylor expansion of -1 in x 0.600 * [backup-simplify]: Simplify -1 into -1 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (/ -1 1) into -1 0.600 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.600 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.600 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.600 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 0.600 * [backup-simplify]: Simplify (- 0) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [backup-simplify]: Simplify -1 into -1 0.601 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.601 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [backup-simplify]: Simplify 1.0 into 1.0 0.601 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [backup-simplify]: Simplify -1 into -1 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ -1 1) into -1 0.601 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.601 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.601 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.601 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) into 0 0.603 * [backup-simplify]: Simplify (* -1 0) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ -1 x)))) 0.603 * [backup-simplify]: Simplify (+ (* -1 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 0.603 * [backup-simplify]: Simplify (- (sqrt (- 1.0 (cos (/ -1 x))))) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 0.604 * [backup-simplify]: Simplify (- 0) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.605 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 0.605 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))) into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.607 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.609 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.610 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))) into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (- 0) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.612 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))) into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (- 0) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.615 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.616 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))))) into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (- 0) into 0 0.616 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 0.618 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.619 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))))) into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (* (- (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x))))))) (/ 1 (- x))) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.620 * * * [progress]: simplifying candidates 0.623 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 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h1)) (* (/ (sqrt (- h0 (cos h1))) h1) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (- (sqrt h0) (sqrt (cos h1)))) (cbrt h1)) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (- (sqrt h0) (sqrt (cos h1)))) (sqrt h1)) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (- (sqrt h0) (sqrt (cos h1)))) h1) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (- h0 (cos h1))) (cbrt h1)) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (- h0 (cos h1))) h1) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (sqrt (- h0 (cos h1)))) (cbrt h1)) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (sqrt (- h0 (cos h1)))) (sqrt h1)) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (sqrt (- h0 (cos h1)))) h1) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (- h0 (cos h1))) (cbrt h1)) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (- h0 (cos h1))) h1) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (- h0 (cos h1))) h1) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ 1 h1) (/ (sqrt (- h0 (cos h1))) h1)) (* (/ (sqrt (- h0 (cos h1))) h1) (sqrt (- h0 (cos h1)))) (* (sqrt (- h0 (cos h1))) (/ (sqrt (- h0 (cos h1))) h1)) (- (log (sqrt (- h0 (cos h1)))) (log h1)) (log (/ (sqrt (- h0 (cos h1))) h1)) (exp (/ (sqrt (- h0 (cos h1))) h1)) (/ (* (* (sqrt (- h0 (cos h1))) (sqrt (- h0 (cos h1)))) (sqrt (- h0 (cos h1)))) (* (* h1 h1) h1)) (* (cbrt (/ (sqrt (- h0 (cos h1))) h1)) (cbrt (/ (sqrt (- h0 (cos h1))) h1))) (cbrt (/ (sqrt (- h0 (cos h1))) h1)) (* (* (/ (sqrt (- h0 (cos h1))) h1) (/ (sqrt (- h0 (cos h1))) h1)) (/ (sqrt (- h0 (cos h1))) h1)) (sqrt (/ (sqrt (- h0 (cos h1))) h1)) (sqrt (/ (sqrt (- h0 (cos h1))) h1)) (- (sqrt (- h0 (cos h1)))) (- h1) (/ (* (cbrt (sqrt (- h0 (cos h1)))) (cbrt (sqrt (- h0 (cos h1))))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (sqrt (- h0 (cos h1)))) (cbrt h1)) (/ (* (cbrt (sqrt (- h0 (cos h1)))) (cbrt (sqrt (- h0 (cos h1))))) (sqrt h1)) (/ (cbrt (sqrt (- h0 (cos h1)))) (sqrt h1)) (/ (* (cbrt (sqrt (- h0 (cos h1)))) (cbrt (sqrt (- h0 (cos h1))))) 1) (/ (cbrt (sqrt (- h0 (cos h1)))) h1) (/ (sqrt (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1))))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (cbrt (- h0 (cos h1)))) (cbrt h1)) (/ (sqrt (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1))))) (sqrt h1)) (/ (sqrt (cbrt (- h0 (cos h1)))) (sqrt h1)) (/ (sqrt (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1))))) 1) (/ (sqrt (cbrt (- h0 (cos h1)))) h1) (/ (sqrt (sqrt (- h0 (cos h1)))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (sqrt (- h0 (cos h1)))) (cbrt h1)) (/ (sqrt (sqrt (- h0 (cos h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (cos h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (cos h1)))) 1) (/ (sqrt (sqrt (- h0 (cos h1)))) h1) (/ (sqrt 1) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (cos h1))) (cbrt h1)) (/ (sqrt 1) (sqrt h1)) (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ (sqrt 1) 1) (/ (sqrt (- h0 (cos h1))) h1) (/ (sqrt (+ (sqrt h0) (sqrt (cos h1)))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- (sqrt h0) (sqrt (cos h1)))) (cbrt h1)) (/ (sqrt (+ (sqrt h0) (sqrt (cos h1)))) (sqrt h1)) (/ (sqrt (- (sqrt h0) (sqrt (cos h1)))) (sqrt h1)) (/ (sqrt (+ (sqrt h0) (sqrt (cos h1)))) 1) (/ (sqrt (- (sqrt h0) (sqrt (cos h1)))) h1) (/ (sqrt 1) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (cos h1))) (cbrt h1)) (/ (sqrt 1) (sqrt h1)) (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ (sqrt 1) 1) (/ (sqrt (- h0 (cos h1))) h1) (/ (sqrt (sqrt (- h0 (cos h1)))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (sqrt (- h0 (cos h1)))) (cbrt h1)) (/ (sqrt (sqrt (- h0 (cos h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (cos h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (cos h1)))) 1) (/ (sqrt (sqrt (- h0 (cos h1)))) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (cos h1))) (cbrt h1)) (/ 1 (sqrt h1)) (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ 1 1) (/ (sqrt (- h0 (cos h1))) h1) (/ 1 h1) (/ h1 (sqrt (- h0 (cos h1)))) (/ (sqrt (- h0 (cos h1))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ (sqrt (- h0 (cos h1))) 1) (/ h1 (cbrt (sqrt (- h0 (cos h1))))) (/ h1 (sqrt (cbrt (- h0 (cos h1))))) (/ h1 (sqrt (sqrt (- h0 (cos h1))))) (/ h1 (sqrt (- h0 (cos h1)))) (/ h1 (sqrt (- (sqrt h0) (sqrt (cos h1))))) (/ h1 (sqrt (- h0 (cos h1)))) (/ h1 (sqrt (sqrt (- h0 (cos h1))))) (/ h1 (sqrt (- h0 (cos h1)))) (* h1 (sqrt (+ (* h0 h0) (+ (* (cos h1) (cos h1)) (* h0 (cos h1)))))) (* h1 (sqrt (+ h0 (cos h1)))) (- (+ (* 1/2 (pow h1 2)) (* 1/720 (pow h1 6))) (* 1/24 (pow h1 4))) (- h0 (cos h1)) (- h0 (cos h1)) (- (+ (* 1/2 (pow h1 2)) (* 1/720 (pow h1 6))) (* 1/24 (pow h1 4))) (- h0 (cos h1)) (- h0 (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)) (- (+ (* 1/1440 (/ (pow h1 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow h1 2) (sqrt 1/2))) (* 1/4608 (/ (pow h1 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- h0 (cos h1))) (/ 1 h1)) (* (sqrt (- h0 (cos h1))) (/ 1 h1)) 0.633 * * [simplify]: iteration 0 : 667 enodes (cost 2403 ) 0.645 * * [simplify]: iteration 1 : 3340 enodes (cost 2087 ) 0.700 * * [simplify]: iteration 2 : 5001 enodes (cost 1922 ) 0.708 * * * [progress]: adding candidates to table 1.072 * * [progress]: iteration 3 / 4 1.072 * * * [progress]: picking best candidate 1.095 * * * * [pick]: Picked # 1.095 * * * [progress]: localizing error 1.106 * * * [progress]: generating rewritten candidates 1.106 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 1.112 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.117 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.139 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.172 * * * [progress]: generating series expansions 1.172 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 1.172 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.172 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.172 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [backup-simplify]: Simplify 1.0 into 1.0 1.172 * [taylor]: Taking taylor expansion of (cos x) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [backup-simplify]: Simplify 1.0 into 1.0 1.172 * [taylor]: Taking taylor expansion of (cos x) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.173 * [backup-simplify]: Simplify (- 1) into -1 1.173 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify (+ 0) into 0 1.174 * [backup-simplify]: Simplify (- 0) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.175 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.175 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.175 * [backup-simplify]: Simplify 1/2 into 1/2 1.176 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.176 * [backup-simplify]: Simplify (- 0) into 0 1.176 * [backup-simplify]: Simplify (+ 0 0) into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.178 * [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 1.178 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.178 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.178 * [backup-simplify]: Simplify -1/24 into -1/24 1.179 * [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 1.180 * [backup-simplify]: Simplify (- 0) into 0 1.180 * [backup-simplify]: Simplify (+ 0 0) into 0 1.180 * [backup-simplify]: Simplify 0 into 0 1.182 * [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 1.183 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.183 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.183 * [backup-simplify]: Simplify 1/720 into 1/720 1.183 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 1.183 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.183 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [backup-simplify]: Simplify 1.0 into 1.0 1.183 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.184 * [backup-simplify]: Simplify (/ 1 1) into 1 1.184 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.184 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [backup-simplify]: Simplify 1.0 into 1.0 1.184 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.184 * [backup-simplify]: Simplify (/ 1 1) into 1 1.184 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.184 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.184 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.185 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.185 * [backup-simplify]: Simplify (- 0) into 0 1.185 * [backup-simplify]: Simplify (+ 0 0) into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify (- 0) into 0 1.185 * [backup-simplify]: Simplify (+ 0 0) into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (- 0) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (- 0) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify (- 0) into 0 1.187 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify (- 0) into 0 1.187 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.188 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.188 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.188 * [backup-simplify]: Simplify 1.0 into 1.0 1.188 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [backup-simplify]: Simplify -1 into -1 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify 1 into 1 1.188 * [backup-simplify]: Simplify (/ -1 1) into -1 1.188 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.188 * [backup-simplify]: Simplify 1.0 into 1.0 1.188 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [backup-simplify]: Simplify -1 into -1 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify 1 into 1 1.188 * [backup-simplify]: Simplify (/ -1 1) into -1 1.188 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.189 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.189 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.189 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.189 * [backup-simplify]: Simplify (- 0) into 0 1.189 * [backup-simplify]: Simplify (+ 0 0) into 0 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify (- 0) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify (- 0) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify (- 0) into 0 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify (- 0) into 0 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify (- 0) into 0 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.192 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.192 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.192 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.192 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [backup-simplify]: Simplify 1.0 into 1.0 1.192 * [taylor]: Taking taylor expansion of (cos x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [backup-simplify]: Simplify 1.0 into 1.0 1.192 * [taylor]: Taking taylor expansion of (cos x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (- 1) into -1 1.192 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify (+ 0) into 0 1.193 * [backup-simplify]: Simplify (- 0) into 0 1.193 * [backup-simplify]: Simplify (+ 0 0) into 0 1.193 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.194 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.194 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.194 * [backup-simplify]: Simplify 1/2 into 1/2 1.195 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.195 * [backup-simplify]: Simplify (- 0) into 0 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.197 * [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 1.197 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.197 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.197 * [backup-simplify]: Simplify -1/24 into -1/24 1.198 * [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 1.199 * [backup-simplify]: Simplify (- 0) into 0 1.199 * [backup-simplify]: Simplify (+ 0 0) into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.201 * [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 1.202 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.202 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.202 * [backup-simplify]: Simplify 1/720 into 1/720 1.202 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 1.202 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.202 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.202 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.202 * [taylor]: Taking taylor expansion of 1.0 in x 1.202 * [backup-simplify]: Simplify 1.0 into 1.0 1.202 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 1 into 1 1.203 * [backup-simplify]: Simplify (/ 1 1) into 1 1.203 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.203 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [backup-simplify]: Simplify 1.0 into 1.0 1.203 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 1 into 1 1.203 * [backup-simplify]: Simplify (/ 1 1) into 1 1.203 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.203 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.203 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.203 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.204 * [backup-simplify]: Simplify (- 0) into 0 1.204 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify (- 0) into 0 1.204 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify (- 0) into 0 1.205 * [backup-simplify]: Simplify (+ 0 0) into 0 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify (- 0) into 0 1.205 * [backup-simplify]: Simplify (+ 0 0) into 0 1.205 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify (- 0) into 0 1.206 * [backup-simplify]: Simplify (+ 0 0) into 0 1.206 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify (- 0) into 0 1.206 * [backup-simplify]: Simplify (+ 0 0) into 0 1.206 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.206 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.206 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.206 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.206 * [taylor]: Taking taylor expansion of 1.0 in x 1.206 * [backup-simplify]: Simplify 1.0 into 1.0 1.206 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.207 * [taylor]: Taking taylor expansion of -1 in x 1.207 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (/ -1 1) into -1 1.207 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.207 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 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 (/ -1 x)) in x 1.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.207 * [taylor]: Taking taylor expansion of -1 in x 1.207 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (/ -1 1) into -1 1.207 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.207 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.208 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.208 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.208 * [backup-simplify]: Simplify (- 0) into 0 1.208 * [backup-simplify]: Simplify (+ 0 0) into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (+ 0 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 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify (+ 0 0) into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify (+ 0 0) into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify (+ 0 0) into 0 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.211 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.211 * [backup-simplify]: Simplify (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 1.211 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 1.211 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.211 * [taylor]: Taking taylor expansion of 1.0 in x 1.211 * [backup-simplify]: Simplify 1.0 into 1.0 1.211 * [taylor]: Taking taylor expansion of (cos x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (- 1) into -1 1.212 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.212 * [backup-simplify]: Simplify (+ 0) into 0 1.212 * [backup-simplify]: Simplify (- 0) into 0 1.212 * [backup-simplify]: Simplify (+ 0 0) into 0 1.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.213 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.214 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.214 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.215 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 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 (* 2 (sqrt 1/2))) into 0 1.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (/ 1 1) into 1 1.216 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.216 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.216 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.216 * [taylor]: Taking taylor expansion of 1.0 in x 1.216 * [backup-simplify]: Simplify 1.0 into 1.0 1.216 * [taylor]: Taking taylor expansion of (cos x) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (- 1) into -1 1.216 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.217 * [backup-simplify]: Simplify (+ 0) into 0 1.217 * [backup-simplify]: Simplify (- 0) into 0 1.217 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.218 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.218 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.224 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.225 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.225 * [backup-simplify]: Simplify (- 0) into 0 1.225 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (/ 1 1) into 1 1.226 * [backup-simplify]: Simplify (* (sqrt 1/2) 1) into (sqrt 1/2) 1.227 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.228 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 1)) into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.230 * [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 1.230 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.230 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.232 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 1.234 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/48 (sqrt 1/2)) 1))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 1.236 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 1.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.237 * [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 1.238 * [backup-simplify]: Simplify (- 0) into 0 1.238 * [backup-simplify]: Simplify (+ 0 0) into 0 1.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 1.240 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (* 0 1)))) into 0 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.243 * [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 1.243 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.243 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.247 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1.259 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 1.262 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 1.268 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 1.268 * [backup-simplify]: Simplify (/ (sqrt 1) (/ (/ 1 x) (sqrt (- 1.0 (cos (/ 1 x)))))) into (* x (sqrt (- 1.0 (cos (/ 1 x))))) 1.268 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.268 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.268 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.268 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.268 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [backup-simplify]: Simplify 1.0 into 1.0 1.268 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.269 * [backup-simplify]: Simplify (/ 1 1) into 1 1.269 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.269 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.269 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.269 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 1.269 * [backup-simplify]: Simplify (- 0) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 1.270 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify 1 into 1 1.270 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.270 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.270 * [taylor]: Taking taylor expansion of 1.0 in x 1.270 * [backup-simplify]: Simplify 1.0 into 1.0 1.270 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify (/ 1 1) into 1 1.270 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.270 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.270 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.270 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 1.270 * [backup-simplify]: Simplify (- 0) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 1.271 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ 1 x))))) into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ 1 x)))))) into (sqrt (- 1.0 (cos (/ 1 x)))) 1.271 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 1.272 * [backup-simplify]: Simplify (- 0) into 0 1.272 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 1.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))) into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify (- 0) into 0 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 1.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))) into 0 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify (- 0) into 0 1.275 * [backup-simplify]: Simplify (+ 0 0) into 0 1.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 1.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))) into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.277 * [backup-simplify]: Simplify (+ 0 0) into 0 1.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 1.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))) into 0 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 1.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))))) into 0 1.281 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify (- 0) into 0 1.282 * [backup-simplify]: Simplify (+ 0 0) into 0 1.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 1.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))))) into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 1.284 * [backup-simplify]: Simplify (/ (sqrt 1) (/ (/ 1 (- x)) (sqrt (- 1.0 (cos (/ 1 (- x))))))) into (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) 1.285 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 1.285 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.285 * [taylor]: Taking taylor expansion of -1 in x 1.285 * [backup-simplify]: Simplify -1 into -1 1.285 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.285 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.285 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.285 * [backup-simplify]: Simplify 1.0 into 1.0 1.285 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.285 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.285 * [taylor]: Taking taylor expansion of -1 in x 1.285 * [backup-simplify]: Simplify -1 into -1 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [backup-simplify]: Simplify (/ -1 1) into -1 1.285 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.285 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.285 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.285 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 1.285 * [backup-simplify]: Simplify (- 0) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 1 into 1 1.286 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.286 * [taylor]: Taking taylor expansion of -1 in x 1.286 * [backup-simplify]: Simplify -1 into -1 1.286 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.286 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.286 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [backup-simplify]: Simplify 1.0 into 1.0 1.286 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.286 * [taylor]: Taking taylor expansion of -1 in x 1.286 * [backup-simplify]: Simplify -1 into -1 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 1 into 1 1.286 * [backup-simplify]: Simplify (/ -1 1) into -1 1.286 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.286 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.287 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.287 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 1.287 * [backup-simplify]: Simplify (- 0) into 0 1.287 * [backup-simplify]: Simplify (+ 0 0) into 0 1.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 1.287 * [taylor]: Taking taylor expansion of x in x 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) into 0 1.288 * [backup-simplify]: Simplify (* -1 0) into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ -1 x)))) 1.288 * [backup-simplify]: Simplify (+ (* -1 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 1.288 * [backup-simplify]: Simplify (- (sqrt (- 1.0 (cos (/ -1 x))))) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 1.289 * [backup-simplify]: Simplify (- 0) into 0 1.289 * [backup-simplify]: Simplify (+ 0 0) into 0 1.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 1.290 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 1.290 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))) into 0 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify (- 0) into 0 1.291 * [backup-simplify]: Simplify (+ 0 0) into 0 1.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 1.292 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.292 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))) into 0 1.292 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify (- 0) into 0 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.293 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 1.294 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.295 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))) into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify (- 0) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 1.297 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.298 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))) into 0 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (- 0) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 1.299 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.301 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))))) into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 1.302 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))))) into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify (* (- (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x))))))) (/ 1 (- x))) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 1.304 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.304 * [backup-simplify]: Simplify (/ x (sqrt (- 1.0 (cos x)))) into (* (sqrt (/ 1 (- 1.0 (cos x)))) x) 1.304 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (cos x)))) x) in (x) around 0 1.304 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (cos x)))) x) in x 1.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos x)))) in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in x 1.304 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [backup-simplify]: Simplify 1.0 into 1.0 1.305 * [taylor]: Taking taylor expansion of (cos x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (- 1) into -1 1.305 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.305 * [backup-simplify]: Simplify (+ 0) into 0 1.305 * [backup-simplify]: Simplify (- 0) into 0 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.306 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.307 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.307 * [backup-simplify]: Simplify (/ 1 1/2) into 2 1.307 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.308 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 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 (- (+ (* 2 (/ 0 1/2)))) into 0 1.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (cos x)))) x) in x 1.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos x)))) in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in x 1.309 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [backup-simplify]: Simplify 1.0 into 1.0 1.309 * [taylor]: Taking taylor expansion of (cos x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (- 1) into -1 1.310 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.310 * [backup-simplify]: Simplify (+ 0) into 0 1.316 * [backup-simplify]: Simplify (- 0) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.317 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.317 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.318 * [backup-simplify]: Simplify (/ 1 1/2) into 2 1.318 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.319 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.319 * [backup-simplify]: Simplify (- 0) into 0 1.319 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (- (+ (* 2 (/ 0 1/2)))) into 0 1.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1.322 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.323 * [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 1.323 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.324 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.324 * [backup-simplify]: Simplify (- (+ (* 2 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/6 1.326 * [backup-simplify]: Simplify (/ (- 1/6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/12 (sqrt 2)) 1.326 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* (/ 1/12 (sqrt 2)) 0))) into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.328 * [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 1.328 * [backup-simplify]: Simplify (- 0) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (- (+ (* 2 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* 1/6 (/ 0 1/2)))) into 0 1.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/12 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 1.333 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* (/ 1/12 (sqrt 2)) 1) (* 0 0)))) into (* 1/12 (/ 1 (sqrt 2))) 1.334 * [backup-simplify]: Simplify (* 1/12 (/ 1 (sqrt 2))) into (/ 1/12 (sqrt 2)) 1.337 * [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 1.337 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.337 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.338 * [backup-simplify]: Simplify (- (+ (* 2 (/ 1/720 1/2)) (* 0 (/ 0 1/2)) (* 1/6 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/120 1.342 * [backup-simplify]: Simplify (/ (- 1/120 (pow (/ 1/12 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/120 (* 1/144 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 1.344 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* (/ 1/12 (sqrt 2)) 0) (+ (* 0 1) (* (* 1/2 (/ (- 1/120 (* 1/144 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 0))))) into 0 1.344 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.347 * [backup-simplify]: Simplify (- 0) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [backup-simplify]: Simplify (- (+ (* 2 (/ 0 1/2)) (* 0 (/ 1/720 1/2)) (* 1/6 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* 1/120 (/ 0 1/2)))) into 0 1.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ (- 1/120 (* 1/144 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 2 (* (/ 1/12 (sqrt 2)) 0)))) (* 2 (sqrt 2))) into 0 1.364 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* (/ 1/12 (sqrt 2)) 0) (+ (* 0 0) (+ (* (* 1/2 (/ (- 1/120 (* 1/144 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 1) (* 0 0)))))) into (- (* 1/240 (/ 1 (sqrt 2))) (* 1/288 (/ 1 (pow (sqrt 2) 3)))) 1.367 * [backup-simplify]: Simplify (- (* 1/240 (/ 1 (sqrt 2))) (* 1/288 (/ 1 (pow (sqrt 2) 3)))) into (- (* 1/240 (/ 1 (sqrt 2))) (* 1/288 (/ 1 (pow (sqrt 2) 3)))) 1.372 * [backup-simplify]: Simplify (+ (* (- (* 1/240 (/ 1 (sqrt 2))) (* 1/288 (/ 1 (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (/ 1/12 (sqrt 2)) (pow x 2)) (sqrt 2))) into (- (+ (* 1/240 (/ (pow x 4) (sqrt 2))) (+ (* 1/12 (/ (pow x 2) (sqrt 2))) (sqrt 2))) (* 1/288 (/ (pow x 4) (pow (sqrt 2) 3)))) 1.372 * [backup-simplify]: Simplify (/ (/ 1 x) (sqrt (- 1.0 (cos (/ 1 x))))) into (* (/ 1 x) (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))) 1.372 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))) in (x) around 0 1.372 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))) in x 1.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (/ 1 1) into 1 1.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) in x 1.372 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in x 1.372 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.372 * [taylor]: Taking taylor expansion of 1.0 in x 1.372 * [backup-simplify]: Simplify 1.0 into 1.0 1.372 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (/ 1 1) into 1 1.373 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.373 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.373 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.373 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 1.373 * [backup-simplify]: Simplify (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) into (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) 1.373 * [backup-simplify]: Simplify (- 0) into 0 1.373 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 1.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 1.374 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [backup-simplify]: Simplify (/ 1 1) into 1 1.374 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in x 1.374 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.374 * [backup-simplify]: Simplify 1.0 into 1.0 1.374 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [backup-simplify]: Simplify (/ 1 1) into 1 1.375 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.375 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.375 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.375 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 1.375 * [backup-simplify]: Simplify (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) into (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) 1.375 * [backup-simplify]: Simplify (- 0) into 0 1.375 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 1.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 1.376 * [backup-simplify]: Simplify (* 1 (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))) into (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) 1.376 * [backup-simplify]: Simplify (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) into (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) 1.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify (- 0) into 0 1.377 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 1.378 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 1.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))))) into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 1.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 1.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))))) into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify (- 0) into 0 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 1.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))))))) into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 1.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 1.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))))))) into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify (- 0) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 1.389 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))))))))) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- 1.0 (cos (/ 1 (/ 1 x)))))) (/ 1 (/ 1 x))) into (* (sqrt (/ 1 (- 1.0 (cos x)))) x) 1.391 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (sqrt (- 1.0 (cos (/ 1 (- x)))))) into (* -1 (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x))) 1.391 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x))) in (x) around 0 1.391 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x))) in x 1.391 * [taylor]: Taking taylor expansion of -1 in x 1.391 * [backup-simplify]: Simplify -1 into -1 1.391 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x)) in x 1.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) in x 1.391 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in x 1.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * [backup-simplify]: Simplify 1.0 into 1.0 1.391 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.391 * [taylor]: Taking taylor expansion of -1 in x 1.391 * [backup-simplify]: Simplify -1 into -1 1.391 * [taylor]: Taking taylor expansion of x in x 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (/ -1 1) into -1 1.391 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.391 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.391 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.392 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ -1 x)))) into (/ 1 (- 1.0 (cos (/ -1 x)))) 1.392 * [backup-simplify]: Simplify (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) into (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 1.392 * [backup-simplify]: Simplify (- 0) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 1.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (/ 1 1) into 1 1.393 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x))) in x 1.393 * [taylor]: Taking taylor expansion of -1 in x 1.393 * [backup-simplify]: Simplify -1 into -1 1.393 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x)) in x 1.393 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in x 1.393 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [backup-simplify]: Simplify 1.0 into 1.0 1.393 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.393 * [taylor]: Taking taylor expansion of -1 in x 1.393 * [backup-simplify]: Simplify -1 into -1 1.393 * [taylor]: Taking taylor expansion of x in x 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (/ -1 1) into -1 1.393 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.393 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.393 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.393 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ -1 x)))) into (/ 1 (- 1.0 (cos (/ -1 x)))) 1.393 * [backup-simplify]: Simplify (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) into (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 1.394 * [backup-simplify]: Simplify (- 0) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 1) into (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 1.395 * [backup-simplify]: Simplify (* -1 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))) into (* -1 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))) 1.395 * [backup-simplify]: Simplify (* -1 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))) into (* -1 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))) 1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (* 0 1)) into 0 1.396 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (- 0) into 0 1.397 * [backup-simplify]: Simplify (+ 0 0) into 0 1.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.398 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 1.398 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (+ (* 0 0) (* 0 1))) into 0 1.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))))) into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (- 0) into 0 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 1.406 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))))) into 0 1.407 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (- 0) into 0 1.408 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 1.410 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.411 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))))))) into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (- 0) into 0 1.412 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 1.413 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.414 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))))))) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (- 0) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.416 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 1.417 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))))))))) into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (* (* -1 (sqrt (/ 1 (- 1.0 (cos (/ -1 (/ 1 (- x)))))))) (/ 1 (/ 1 (- x)))) into (* (sqrt (/ 1 (- 1.0 (cos x)))) x) 1.419 * * * [progress]: simplifying candidates 1.424 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (sqrt 1)) (- (log x) (log (sqrt (- 1.0 (cos x)))))) (- (log (sqrt 1)) (log (/ x (sqrt (- 1.0 (cos x)))))) (log (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (exp (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (/ (* (* x x) x) (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))))) (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))))) (* (cbrt (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (cbrt (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))))) (cbrt (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (* (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (sqrt (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (sqrt (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (- (sqrt 1)) (- (/ x (sqrt (- 1.0 (cos x))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (* (cbrt (/ x (sqrt (- 1.0 (cos x))))) (cbrt (/ x (sqrt (- 1.0 (cos x))))))) (/ (cbrt (sqrt 1)) (cbrt (/ x (sqrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (sqrt (/ x (sqrt (- 1.0 (cos x)))))) (/ (cbrt (sqrt 1)) (sqrt (/ x (sqrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))))) (/ (cbrt (sqrt 1)) (/ (cbrt x) (cbrt (sqrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (/ (cbrt (sqrt 1)) (/ (cbrt x) (sqrt (cbrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (cbrt (sqrt 1)) (/ (cbrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt x) (cbrt x)) (sqrt 1))) (/ (cbrt (sqrt 1)) (/ (cbrt x) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))))) (/ (cbrt (sqrt 1)) (/ (cbrt x) (sqrt (- (sqrt 1.0) (sqrt (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt x) (cbrt x)) (sqrt 1))) (/ (cbrt (sqrt 1)) (/ (cbrt x) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (cbrt (sqrt 1)) (/ (cbrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt (sqrt 1)) (/ (cbrt x) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt x) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))))) (/ (cbrt (sqrt 1)) (/ (sqrt x) (cbrt (sqrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt x) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (/ (cbrt (sqrt 1)) (/ (sqrt x) (sqrt (cbrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (cbrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt x) (sqrt 1))) (/ (cbrt (sqrt 1)) (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt x) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))))) (/ (cbrt (sqrt 1)) (/ (sqrt x) (sqrt (- (sqrt 1.0) (sqrt (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt x) (sqrt 1))) (/ (cbrt (sqrt 1)) (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (cbrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt x) 1)) (/ (cbrt (sqrt 1)) (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))))) (/ (cbrt (sqrt 1)) (/ x (cbrt (sqrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (/ (cbrt (sqrt 1)) (/ x (sqrt (cbrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (sqrt (sqrt (- 1.0 (cos x)))))) (/ (cbrt (sqrt 1)) (/ x (sqrt (sqrt (- 1.0 (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (sqrt 1))) (/ (cbrt (sqrt 1)) (/ x (sqrt (- 1.0 (cos x))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (sqrt (+ (sqrt 1.0) (sqrt (cos x)))))) (/ (cbrt (sqrt 1)) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x)))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (sqrt 1))) (/ (cbrt (sqrt 1)) (/ x (sqrt (- 1.0 (cos x))))) (/ (* 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(sqrt 1) (/ (sqrt h1) (sqrt (sqrt (- h0 (cos h1)))))) (/ (sqrt 1) (/ (sqrt h1) (sqrt 1))) (/ (sqrt 1) (/ (sqrt h1) (sqrt (+ (sqrt h0) (sqrt (cos h1)))))) (/ (sqrt 1) (/ (sqrt h1) (sqrt 1))) (/ (sqrt 1) (/ (sqrt h1) (sqrt (sqrt (- h0 (cos h1)))))) (/ (sqrt 1) (/ (sqrt h1) 1)) (/ (sqrt 1) (/ 1 (* (cbrt (sqrt (- h0 (cos h1)))) (cbrt (sqrt (- h0 (cos h1))))))) (/ (sqrt 1) (/ 1 (sqrt (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1))))))) (/ (sqrt 1) (/ 1 (sqrt (sqrt (- h0 (cos h1)))))) (/ (sqrt 1) (/ 1 (sqrt 1))) (/ (sqrt 1) (/ 1 (sqrt (+ (sqrt h0) (sqrt (cos h1)))))) (/ (sqrt 1) (/ 1 (sqrt 1))) (/ (sqrt 1) (/ 1 (sqrt (sqrt (- h0 (cos h1)))))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) 1) (/ (sqrt 1) h1) (/ (sqrt 1) (/ h1 (sqrt (- (pow h0 3) (pow (cos h1) 3))))) (/ (sqrt 1) (/ h1 (sqrt (- (* h0 h0) (* (cos h1) (cos h1)))))) (/ (/ h1 (sqrt (- h0 (cos h1)))) (cbrt (sqrt 1))) (/ (/ h1 (sqrt (- h0 (cos h1)))) (sqrt (cbrt 1))) (/ (/ h1 (sqrt (- h0 (cos h1)))) (sqrt (sqrt 1))) (/ (/ h1 (sqrt (- h0 (cos h1)))) (sqrt 1)) (/ (/ h1 (sqrt (- h0 (cos h1)))) (sqrt (sqrt 1))) (/ (/ h1 (sqrt (- h0 (cos h1)))) (sqrt 1)) (/ (sqrt 1) h1) (- (log h1) (log (sqrt (- h0 (cos h1))))) (log (/ h1 (sqrt (- h0 (cos h1))))) (exp (/ h1 (sqrt (- h0 (cos h1))))) (/ (* (* h1 h1) h1) (* (* (sqrt (- h0 (cos h1))) (sqrt (- h0 (cos h1)))) (sqrt (- h0 (cos h1))))) (* (cbrt (/ h1 (sqrt (- h0 (cos h1))))) (cbrt (/ h1 (sqrt (- h0 (cos h1)))))) (cbrt (/ h1 (sqrt (- h0 (cos h1))))) (* (* (/ h1 (sqrt (- h0 (cos h1)))) (/ h1 (sqrt (- h0 (cos h1))))) (/ h1 (sqrt (- h0 (cos h1))))) (sqrt (/ h1 (sqrt (- h0 (cos h1))))) (sqrt (/ h1 (sqrt (- h0 (cos h1))))) (- h1) (- (sqrt (- h0 (cos h1)))) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (sqrt (- h0 (cos h1)))) (cbrt (sqrt (- h0 (cos h1)))))) (/ (cbrt h1) (cbrt (sqrt (- h0 (cos h1))))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))))) (/ (cbrt h1) (sqrt (cbrt (- h0 (cos h1))))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (sqrt (- h0 (cos h1))))) (/ (cbrt h1) (sqrt (sqrt (- h0 (cos h1))))) (/ (* (cbrt h1) (cbrt h1)) (sqrt 1)) (/ (cbrt h1) (sqrt (- h0 (cos h1)))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (+ (sqrt h0) (sqrt (cos h1))))) (/ (cbrt h1) (sqrt (- (sqrt h0) (sqrt (cos h1))))) (/ (* (cbrt h1) (cbrt h1)) (sqrt 1)) (/ (cbrt h1) (sqrt (- h0 (cos h1)))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (sqrt (- h0 (cos h1))))) (/ (cbrt h1) (sqrt (sqrt (- h0 (cos h1))))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (sqrt (- h0 (cos h1)))) (/ (sqrt h1) (* (cbrt (sqrt (- h0 (cos h1)))) (cbrt (sqrt (- h0 (cos h1)))))) (/ (sqrt h1) (cbrt (sqrt (- h0 (cos h1))))) (/ (sqrt h1) (sqrt (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))))) (/ (sqrt h1) (sqrt (cbrt (- h0 (cos h1))))) (/ (sqrt h1) (sqrt (sqrt (- h0 (cos h1))))) (/ (sqrt h1) (sqrt (sqrt (- h0 (cos h1))))) (/ (sqrt h1) (sqrt 1)) (/ (sqrt h1) (sqrt (- h0 (cos h1)))) (/ (sqrt h1) (sqrt (+ (sqrt h0) (sqrt (cos h1))))) (/ (sqrt h1) (sqrt (- (sqrt h0) (sqrt (cos h1))))) (/ (sqrt h1) (sqrt 1)) (/ (sqrt h1) (sqrt (- h0 (cos h1)))) (/ (sqrt h1) (sqrt (sqrt (- h0 (cos h1))))) (/ (sqrt h1) (sqrt (sqrt (- h0 (cos h1))))) (/ (sqrt h1) 1) (/ (sqrt h1) (sqrt (- h0 (cos h1)))) (/ 1 (* (cbrt (sqrt (- h0 (cos h1)))) (cbrt (sqrt (- h0 (cos h1)))))) (/ h1 (cbrt (sqrt (- h0 (cos h1))))) (/ 1 (sqrt (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))))) (/ h1 (sqrt (cbrt (- h0 (cos h1))))) (/ 1 (sqrt (sqrt (- h0 (cos h1))))) (/ h1 (sqrt (sqrt (- h0 (cos h1))))) (/ 1 (sqrt 1)) (/ h1 (sqrt (- h0 (cos h1)))) (/ 1 (sqrt (+ (sqrt h0) (sqrt (cos h1))))) (/ h1 (sqrt (- (sqrt h0) (sqrt (cos h1))))) (/ 1 (sqrt 1)) (/ h1 (sqrt (- h0 (cos h1)))) (/ 1 (sqrt (sqrt (- h0 (cos h1))))) (/ h1 (sqrt (sqrt (- h0 (cos h1))))) (/ 1 1) (/ h1 (sqrt (- h0 (cos h1)))) (/ 1 (sqrt (- h0 (cos h1)))) (/ (sqrt (- h0 (cos h1))) h1) (/ h1 (* (cbrt (sqrt (- h0 (cos h1)))) (cbrt (sqrt (- h0 (cos h1)))))) (/ h1 (sqrt (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))))) (/ h1 (sqrt (sqrt (- h0 (cos h1))))) (/ h1 (sqrt 1)) (/ h1 (sqrt (+ (sqrt h0) (sqrt (cos h1))))) (/ h1 (sqrt 1)) (/ h1 (sqrt (sqrt (- h0 (cos h1))))) (/ h1 1) (/ (sqrt (- h0 (cos h1))) (cbrt h1)) (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ (sqrt (- h0 (cos h1))) h1) (/ h1 (sqrt (- (pow h0 3) (pow (cos h1) 3)))) (/ h1 (sqrt (- (* h0 h0) (* (cos h1) (cos h1))))) (- (+ (* 1/2 (pow h1 2)) (* 1/720 (pow h1 6))) (* 1/24 (pow h1 4))) (- h0 (cos h1)) (- h0 (cos h1)) (- (+ (* 1/2 (pow h1 2)) (* 1/720 (pow h1 6))) (* 1/24 (pow h1 4))) (- h0 (cos h1)) (- h0 (cos h1)) (- (+ (* 1/1440 (/ (pow h1 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow h1 2) (sqrt 1/2))) (* 1/4608 (/ (pow h1 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- h0 (cos h1))) (/ 1 h1)) (* (sqrt (- h0 (cos h1))) (/ 1 h1)) (- (+ (* 1/240 (/ (pow h1 4) (sqrt 2))) (+ (* 1/12 (/ (pow h1 2) (sqrt 2))) (sqrt 2))) (* 1/288 (/ (pow h1 4) (pow (sqrt 2) 3)))) (* (sqrt (/ 1 (- h0 (cos h1)))) h1) (* (sqrt (/ 1 (- h0 (cos h1)))) h1) 1.438 * * [simplify]: iteration 0 : 779 enodes (cost 3921 ) 1.452 * * [simplify]: iteration 1 : 3503 enodes (cost 3253 ) 1.488 * * [simplify]: iteration 2 : 5002 enodes (cost 2856 ) 1.500 * * * [progress]: adding candidates to table 1.866 * * [progress]: iteration 4 / 4 1.866 * * * [progress]: picking best candidate 1.889 * * * * [pick]: Picked # 1.889 * * * [progress]: localizing error 1.897 * * * [progress]: generating rewritten candidates 1.897 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.902 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.918 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.959 * * * [progress]: generating series expansions 1.959 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.959 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.959 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.959 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.959 * [taylor]: Taking taylor expansion of 1.0 in x 1.959 * [backup-simplify]: Simplify 1.0 into 1.0 1.959 * [taylor]: Taking taylor expansion of (cos x) in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.960 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [backup-simplify]: Simplify 1.0 into 1.0 1.960 * [taylor]: Taking taylor expansion of (cos x) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (- 1) into -1 1.960 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ 0) into 0 1.961 * [backup-simplify]: Simplify (- 0) into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.962 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.962 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.962 * [backup-simplify]: Simplify 1/2 into 1/2 1.963 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.963 * [backup-simplify]: Simplify (- 0) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.965 * [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 1.965 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.965 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.965 * [backup-simplify]: Simplify -1/24 into -1/24 1.967 * [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 1.967 * [backup-simplify]: Simplify (- 0) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.970 * [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 1.970 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.970 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.970 * [backup-simplify]: Simplify 1/720 into 1/720 1.971 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 1.971 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.971 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.971 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.971 * [taylor]: Taking taylor expansion of 1.0 in x 1.971 * [backup-simplify]: Simplify 1.0 into 1.0 1.971 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.971 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.971 * [taylor]: Taking taylor expansion of 1.0 in x 1.971 * [backup-simplify]: Simplify 1.0 into 1.0 1.971 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.972 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.972 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.972 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.972 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.972 * [backup-simplify]: Simplify (- 0) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (- 0) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (- 0) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (- 0) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (- 0) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (- 0) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.975 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.975 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.975 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.975 * [taylor]: Taking taylor expansion of 1.0 in x 1.975 * [backup-simplify]: Simplify 1.0 into 1.0 1.975 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.975 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.975 * [taylor]: Taking taylor expansion of -1 in x 1.975 * [backup-simplify]: Simplify -1 into -1 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ -1 1) into -1 1.975 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.975 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.975 * [taylor]: Taking taylor expansion of 1.0 in x 1.975 * [backup-simplify]: Simplify 1.0 into 1.0 1.975 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.975 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.975 * [taylor]: Taking taylor expansion of -1 in x 1.976 * [backup-simplify]: Simplify -1 into -1 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (/ -1 1) into -1 1.976 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.976 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.976 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.976 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.976 * [backup-simplify]: Simplify (- 0) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (- 0) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (- 0) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (- 0) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.979 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.979 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 1.979 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 1.979 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.979 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.979 * [taylor]: Taking taylor expansion of 1.0 in x 1.979 * [backup-simplify]: Simplify 1.0 into 1.0 1.979 * [taylor]: Taking taylor expansion of (cos x) in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (- 1) into -1 1.980 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.980 * [backup-simplify]: Simplify (+ 0) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.981 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.981 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.982 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.982 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.982 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.982 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.982 * [taylor]: Taking taylor expansion of 1.0 in x 1.982 * [backup-simplify]: Simplify 1.0 into 1.0 1.982 * [taylor]: Taking taylor expansion of (cos x) in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (- 1) into -1 1.983 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.983 * [backup-simplify]: Simplify (+ 0) into 0 1.983 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.984 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.984 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.984 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.985 * [backup-simplify]: Simplify 1/2 into 1/2 1.985 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.987 * [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 1.988 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.988 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.989 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 1.989 * [backup-simplify]: Simplify -1/24 into -1/24 1.990 * [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 1.990 * [backup-simplify]: Simplify (- 0) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.994 * [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 1.994 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.994 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.995 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 1.995 * [backup-simplify]: Simplify 1/720 into 1/720 1.995 * [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))) 1.995 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 1.995 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.995 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.996 * [taylor]: Taking taylor expansion of 1.0 in x 1.996 * [backup-simplify]: Simplify 1.0 into 1.0 1.996 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (/ 1 1) into 1 1.996 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.996 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.996 * [taylor]: Taking taylor expansion of 1.0 in x 1.996 * [backup-simplify]: Simplify 1.0 into 1.0 1.996 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (/ 1 1) into 1 1.996 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.997 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.997 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.997 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (- 0) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 1.997 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.998 * [backup-simplify]: Simplify (- 0) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (- 0) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (- 0) into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (- 0) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (- 0) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (- 0) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [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 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 2.007 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 2.007 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 2.007 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 2.007 * [taylor]: Taking taylor expansion of -1 in x 2.007 * [backup-simplify]: Simplify -1 into -1 2.007 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 2.007 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.007 * [taylor]: Taking taylor expansion of 1.0 in x 2.007 * [backup-simplify]: Simplify 1.0 into 1.0 2.007 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.007 * [taylor]: Taking taylor expansion of -1 in x 2.007 * [backup-simplify]: Simplify -1 into -1 2.007 * [taylor]: Taking taylor expansion of x in x 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (/ -1 1) into -1 2.007 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.007 * [taylor]: Taking taylor expansion of x in x 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 2.007 * [taylor]: Taking taylor expansion of -1 in x 2.007 * [backup-simplify]: Simplify -1 into -1 2.007 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 2.007 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.007 * [taylor]: Taking taylor expansion of 1.0 in x 2.007 * [backup-simplify]: Simplify 1.0 into 1.0 2.007 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.007 * [taylor]: Taking taylor expansion of -1 in x 2.007 * [backup-simplify]: Simplify -1 into -1 2.007 * [taylor]: Taking taylor expansion of x in x 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (/ -1 1) into -1 2.008 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.008 * [taylor]: Taking taylor expansion of x in x 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.008 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.008 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 2.008 * [backup-simplify]: Simplify (* -1 0) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 2.009 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 2.009 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 2.010 * [backup-simplify]: Simplify (- 0) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 2.011 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (- 0) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.012 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.013 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (- 0) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.014 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (- 0) into 0 2.015 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.017 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (- 0) into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (- 0) into 0 2.020 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [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 2.022 * [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 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 2.022 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.022 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos x)) x) (/ 1 x)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.022 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 2.022 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 2.022 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.022 * [taylor]: Taking taylor expansion of 1.0 in x 2.022 * [backup-simplify]: Simplify 1.0 into 1.0 2.022 * [taylor]: Taking taylor expansion of (cos x) in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (- 1) into -1 2.023 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.023 * [backup-simplify]: Simplify (+ 0) into 0 2.023 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.024 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.025 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.025 * [backup-simplify]: Simplify (* 1 1) into 1 2.025 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.025 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 2.025 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.025 * [taylor]: Taking taylor expansion of 1.0 in x 2.025 * [backup-simplify]: Simplify 1.0 into 1.0 2.025 * [taylor]: Taking taylor expansion of (cos x) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (- 1) into -1 2.026 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.026 * [backup-simplify]: Simplify (+ 0) into 0 2.026 * [backup-simplify]: Simplify (- 0) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.027 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.028 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.028 * [backup-simplify]: Simplify (* 1 1) into 1 2.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.028 * [backup-simplify]: Simplify 1/2 into 1/2 2.029 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.029 * [backup-simplify]: Simplify (- 0) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.036 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.037 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.038 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 2.038 * [backup-simplify]: Simplify -1/24 into -1/24 2.039 * [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 2.039 * [backup-simplify]: Simplify (- 0) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.044 * [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 2.044 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.044 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.046 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 2.046 * [backup-simplify]: Simplify 1/720 into 1/720 2.046 * [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))) 2.046 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 2.046 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 2.046 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 2.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.046 * [taylor]: Taking taylor expansion of x in x 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.046 * [taylor]: Taking taylor expansion of 1.0 in x 2.046 * [backup-simplify]: Simplify 1.0 into 1.0 2.046 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.046 * [taylor]: Taking taylor expansion of x in x 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (/ 1 1) into 1 2.047 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.047 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 2.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.047 * [taylor]: Taking taylor expansion of x in x 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.047 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.047 * [taylor]: Taking taylor expansion of 1.0 in x 2.047 * [backup-simplify]: Simplify 1.0 into 1.0 2.047 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.047 * [taylor]: Taking taylor expansion of x in x 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (/ 1 1) into 1 2.047 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.048 * [backup-simplify]: Simplify (* 1 1) into 1 2.048 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.048 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.048 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.048 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.048 * [backup-simplify]: Simplify (- 0) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (- 0) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (- 0) into 0 2.053 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (- 0) into 0 2.055 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (- 0) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.059 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 2.060 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 2.060 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 2.060 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.060 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [backup-simplify]: Simplify 1.0 into 1.0 2.060 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.060 * [taylor]: Taking taylor expansion of -1 in x 2.060 * [backup-simplify]: Simplify -1 into -1 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ -1 1) into -1 2.060 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 2.060 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.060 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [backup-simplify]: Simplify 1.0 into 1.0 2.060 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.060 * [taylor]: Taking taylor expansion of -1 in x 2.060 * [backup-simplify]: Simplify -1 into -1 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ -1 1) into -1 2.061 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.061 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.061 * [backup-simplify]: Simplify (* 1 1) into 1 2.061 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 2.061 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.062 * [backup-simplify]: Simplify (- 0) into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.063 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.064 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (- 0) into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.066 * [backup-simplify]: Simplify (- 0) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.068 * [backup-simplify]: Simplify (- 0) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.071 * * * [progress]: simplifying candidates 2.073 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ 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h1))) (* (sqrt (/ (- h0 (cos h1)) h1)) (/ (sqrt 1) (sqrt h1))) (* (sqrt (/ (- h0 (cos h1)) h1)) (/ (sqrt 1) (sqrt h1))) (* (sqrt (/ (- h0 (cos h1)) h1)) (/ 1 (sqrt h1))) (* (sqrt (/ (- h0 (cos h1)) h1)) (/ 1 (sqrt h1))) (* (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (sqrt (/ 1 h1))) (* (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (sqrt (/ 1 h1))) (* (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ (sqrt 1) (sqrt h1))) (* (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ (sqrt 1) (sqrt h1))) (* (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ 1 (sqrt h1))) (* (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ 1 (sqrt h1))) (* (/ (- h0 (cos h1)) h1) (* (cbrt (/ 1 h1)) (cbrt (/ 1 h1)))) (* (/ (- h0 (cos h1)) h1) (sqrt (/ 1 h1))) (* (/ (- h0 (cos h1)) h1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt h1) (cbrt h1)))) (* (/ (- h0 (cos h1)) h1) (/ (* (cbrt 1) (cbrt 1)) (sqrt h1))) (* (/ (- h0 (cos h1)) h1) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ (- h0 (cos h1)) h1) (/ (sqrt 1) (* (cbrt h1) (cbrt h1)))) (* (/ (- h0 (cos h1)) h1) (/ (sqrt 1) (sqrt h1))) (* (/ (- h0 (cos h1)) h1) (/ (sqrt 1) 1)) (* (/ (- h0 (cos h1)) h1) (/ 1 (* (cbrt h1) (cbrt h1)))) (* (/ (- h0 (cos h1)) h1) (/ 1 (sqrt h1))) (* (/ (- h0 (cos h1)) h1) (/ 1 1)) (* (/ (- h0 (cos h1)) h1) 1) (* (/ (- h0 (cos h1)) h1) 1) (* (cbrt (/ (- h0 (cos h1)) h1)) (/ 1 h1)) (* (sqrt (/ (- h0 (cos h1)) h1)) (/ 1 h1)) (* (/ (cbrt (- h0 (cos h1))) (cbrt h1)) (/ 1 h1)) (* (/ (cbrt (- h0 (cos h1))) (sqrt h1)) (/ 1 h1)) (* (/ (cbrt (- h0 (cos h1))) h1) (/ 1 h1)) (* (/ (sqrt (- h0 (cos h1))) (cbrt h1)) (/ 1 h1)) (* (/ (sqrt (- h0 (cos h1))) (sqrt h1)) (/ 1 h1)) (* (/ (sqrt (- h0 (cos h1))) h1) (/ 1 h1)) (* (/ (- h0 (cos h1)) (cbrt h1)) (/ 1 h1)) (* (/ (- h0 (cos h1)) (sqrt h1)) (/ 1 h1)) (* (/ (- h0 (cos h1)) h1) (/ 1 h1)) (* (/ (- (sqrt h0) (sqrt (cos h1))) (cbrt h1)) (/ 1 h1)) (* (/ (- (sqrt h0) (sqrt (cos h1))) (sqrt h1)) (/ 1 h1)) (* (/ (- (sqrt h0) (sqrt (cos h1))) h1) (/ 1 h1)) (* (/ (- h0 (cos h1)) (cbrt h1)) (/ 1 h1)) (* (/ (- h0 (cos h1)) (sqrt h1)) (/ 1 h1)) (* (/ (- h0 (cos h1)) h1) (/ 1 h1)) (* (/ (- h0 (cos h1)) h1) (/ 1 h1)) (* (/ 1 h1) (/ 1 h1)) (* (/ (- h0 (cos h1)) h1) 1) (* (- h0 (cos h1)) (/ 1 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)) 2.079 * * [simplify]: iteration 0 : 537 enodes (cost 819 ) 2.088 * * [simplify]: iteration 1 : 2228 enodes (cost 734 ) 2.127 * * [simplify]: iteration 2 : 5001 enodes (cost 700 ) 2.130 * * * [progress]: adding candidates to table 2.337 * [progress]: [Phase 3 of 3] Extracting. 2.337 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.339 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.339 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 2.386 * * * [regime]: Found split indices: #