16.684 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.062 * [progress]: [Phase 2 of 3] Improving. 0.062 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.062 * * [simplify]: iteration 0: 6 enodes 0.063 * * [simplify]: iteration 1: 13 enodes 0.065 * * [simplify]: iteration 2: 21 enodes 0.068 * * [simplify]: iteration 3: 26 enodes 0.071 * * [simplify]: iteration 4: 28 enodes 0.074 * * [simplify]: iteration complete: 28 enodes 0.074 * * [simplify]: Extracting #0: cost 1 inf + 0 0.074 * * [simplify]: Extracting #1: cost 8 inf + 0 0.074 * * [simplify]: Extracting #2: cost 12 inf + 42 0.074 * * [simplify]: Extracting #3: cost 7 inf + 447 0.075 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.075 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.096 * * * * [pick]: Picked # 0.096 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.108 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.128 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.136 * * * [progress]: generating series expansions 0.136 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.142 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.142 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.143 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [backup-simplify]: Simplify 1.0 into 1.0 0.143 * [taylor]: Taking taylor expansion of (cos x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (- 1) into -1 0.145 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.146 * [backup-simplify]: Simplify (+ 0) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.148 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.149 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.150 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (cos 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 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 * [taylor]: Taking taylor expansion of (pow x 2) 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) into -1 0.151 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.151 * [backup-simplify]: Simplify (+ 0) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.153 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.153 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.155 * [backup-simplify]: Simplify 1/2 into 1/2 0.156 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.161 * [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 0.162 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.162 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.164 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.164 * [backup-simplify]: Simplify -1/24 into -1/24 0.167 * [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 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.172 * [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 0.172 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.172 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.174 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.174 * [backup-simplify]: Simplify 1/720 into 1/720 0.175 * [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))) 0.175 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 0.175 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 0.175 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.177 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 0.177 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.193 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.195 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 0.195 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [backup-simplify]: Simplify -1 into -1 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ -1 1) into -1 0.196 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.196 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [backup-simplify]: Simplify 1.0 into 1.0 0.196 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.196 * [taylor]: Taking taylor expansion of -1 in x 0.196 * [backup-simplify]: Simplify -1 into -1 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ -1 1) into -1 0.196 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.197 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.197 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.197 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.209 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.209 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.209 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [backup-simplify]: Simplify 1.0 into 1.0 0.210 * [taylor]: Taking taylor expansion of (cos x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [backup-simplify]: Simplify 1.0 into 1.0 0.210 * [taylor]: Taking taylor expansion of (cos x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (- 1) into -1 0.210 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (+ 0) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.212 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.212 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.212 * [backup-simplify]: Simplify 1/2 into 1/2 0.213 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.215 * [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 0.215 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.216 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.216 * [backup-simplify]: Simplify -1/24 into -1/24 0.217 * [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 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.220 * [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 0.221 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.221 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.221 * [backup-simplify]: Simplify 1/720 into 1/720 0.221 * [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))) 0.221 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.221 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.221 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [backup-simplify]: Simplify 1.0 into 1.0 0.222 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [backup-simplify]: Simplify 1.0 into 1.0 0.222 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.222 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.223 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.223 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.226 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.226 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [backup-simplify]: Simplify 1.0 into 1.0 0.226 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.226 * [taylor]: Taking taylor expansion of -1 in x 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ -1 1) into -1 0.227 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.227 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.227 * [taylor]: Taking taylor expansion of -1 in x 0.227 * [backup-simplify]: Simplify -1 into -1 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ -1 1) into -1 0.227 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.227 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.227 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.228 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.231 * * * [progress]: simplifying candidates 0.232 * [simplify]: Simplifying: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.233 * * [simplify]: iteration 0: 116 enodes 0.261 * * [simplify]: iteration 1: 301 enodes 0.454 * * [simplify]: iteration 2: 1734 enodes 1.080 * * [simplify]: iteration complete: 5001 enodes 1.080 * * [simplify]: Extracting #0: cost 48 inf + 0 1.084 * * [simplify]: Extracting #1: cost 1132 inf + 0 1.101 * * [simplify]: Extracting #2: cost 1805 inf + 34525 1.157 * * [simplify]: Extracting #3: cost 748 inf + 253405 1.244 * * [simplify]: Extracting #4: cost 15 inf + 401496 1.358 * * [simplify]: Extracting #5: cost 0 inf + 404700 1.452 * [simplify]: Simplified to: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos 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))) (/ x (cbrt (- 1.0 (cos 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 (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x) (* (/ x (cbrt (- 1.0 (cos x)))) x) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ x (/ (- 1.0 (cos x)) x)) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ x (/ (- 1.0 (cos x)) x)) (* (* x x) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* (* x x) (+ 1.0 (cos x))) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (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))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (fma (* x x) -1/24 (fma 1/720 (* (* x x) (* x x)) 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (fma 1/2 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 1/720 (* (* (* x x) (* x x)) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.456 * * * [progress]: adding candidates to table 1.713 * * [progress]: iteration 2 / 4 1.713 * * * [progress]: picking best candidate 1.771 * * * * [pick]: Picked # 1.771 * * * [progress]: localizing error 1.801 * * * [progress]: generating rewritten candidates 1.801 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.808 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.819 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.902 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.928 * * * [progress]: generating series expansions 1.928 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.928 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.928 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.928 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [backup-simplify]: Simplify 1.0 into 1.0 1.928 * [taylor]: Taking taylor expansion of (cos x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [backup-simplify]: Simplify 1.0 into 1.0 1.928 * [taylor]: Taking taylor expansion of (cos x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (- 1) into -1 1.930 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ 0) into 0 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.932 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.933 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.933 * [backup-simplify]: Simplify 1/2 into 1/2 1.934 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.935 * [backup-simplify]: Simplify (- 0) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.939 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.939 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.939 * [backup-simplify]: Simplify -1/24 into -1/24 1.942 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.942 * [backup-simplify]: Simplify (- 0) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify 0 into 0 1.951 * [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 1.951 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.952 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.952 * [backup-simplify]: Simplify 1/720 into 1/720 1.952 * [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))) 1.953 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.953 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.953 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.953 * [taylor]: Taking taylor expansion of 1.0 in x 1.953 * [backup-simplify]: Simplify 1.0 into 1.0 1.953 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (/ 1 1) into 1 1.953 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.953 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.953 * [taylor]: Taking taylor expansion of 1.0 in x 1.954 * [backup-simplify]: Simplify 1.0 into 1.0 1.954 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.954 * [taylor]: Taking taylor expansion of x in x 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.954 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.954 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.954 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.955 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.955 * [backup-simplify]: Simplify (- 0) into 0 1.956 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (- 0) into 0 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (- 0) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (- 0) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (- 0) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (- 0) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.961 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.961 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.961 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.961 * [taylor]: Taking taylor expansion of 1.0 in x 1.961 * [backup-simplify]: Simplify 1.0 into 1.0 1.961 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.961 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.961 * [taylor]: Taking taylor expansion of -1 in x 1.961 * [backup-simplify]: Simplify -1 into -1 1.961 * [taylor]: Taking taylor expansion of x in x 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (/ -1 1) into -1 1.962 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.962 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.962 * [taylor]: Taking taylor expansion of 1.0 in x 1.962 * [backup-simplify]: Simplify 1.0 into 1.0 1.962 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.962 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.962 * [taylor]: Taking taylor expansion of -1 in x 1.962 * [backup-simplify]: Simplify -1 into -1 1.962 * [taylor]: Taking taylor expansion of x in x 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (/ -1 1) into -1 1.962 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.963 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.963 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.963 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 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 1.964 * [backup-simplify]: Simplify (- 0) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (- 0) into 0 1.965 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (- 0) into 0 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify 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 1.967 * [backup-simplify]: Simplify (- 0) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.968 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.968 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.968 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.968 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.968 * [taylor]: Taking taylor expansion of 1.0 in x 1.968 * [backup-simplify]: Simplify 1.0 into 1.0 1.968 * [taylor]: Taking taylor expansion of (cos x) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.968 * [taylor]: Taking taylor expansion of 1.0 in x 1.968 * [backup-simplify]: Simplify 1.0 into 1.0 1.968 * [taylor]: Taking taylor expansion of (cos x) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (- 1) into -1 1.969 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (+ 0) into 0 1.970 * [backup-simplify]: Simplify (- 0) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.972 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.972 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.972 * [backup-simplify]: Simplify 1/2 into 1/2 1.973 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 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 1.975 * [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 1.975 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.975 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.975 * [backup-simplify]: Simplify -1/24 into -1/24 1.976 * [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 1.977 * [backup-simplify]: Simplify (- 0) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.980 * [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 1.980 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.980 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.980 * [backup-simplify]: Simplify 1/720 into 1/720 1.981 * [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))) 1.981 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.981 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.981 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.981 * [taylor]: Taking taylor expansion of 1.0 in x 1.981 * [backup-simplify]: Simplify 1.0 into 1.0 1.981 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.981 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.981 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.981 * [taylor]: Taking taylor expansion of 1.0 in x 1.981 * [backup-simplify]: Simplify 1.0 into 1.0 1.981 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.982 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.982 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.982 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.982 * [backup-simplify]: Simplify (- 0) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.985 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.985 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.985 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.985 * [taylor]: Taking taylor expansion of 1.0 in x 1.985 * [backup-simplify]: Simplify 1.0 into 1.0 1.985 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.985 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.985 * [taylor]: Taking taylor expansion of -1 in x 1.985 * [backup-simplify]: Simplify -1 into -1 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (/ -1 1) into -1 1.986 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.986 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.986 * [taylor]: Taking taylor expansion of 1.0 in x 1.986 * [backup-simplify]: Simplify 1.0 into 1.0 1.986 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.986 * [taylor]: Taking taylor expansion of -1 in x 1.986 * [backup-simplify]: Simplify -1 into -1 1.986 * [taylor]: Taking taylor expansion of x in x 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (/ -1 1) into -1 1.986 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.986 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.986 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.986 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.987 * [backup-simplify]: Simplify (- 0) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (- 0) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (- 0) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (- 0) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.990 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.990 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.990 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.990 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.990 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.990 * [taylor]: Taking taylor expansion of 1.0 in x 1.990 * [backup-simplify]: Simplify 1.0 into 1.0 1.990 * [taylor]: Taking taylor expansion of (cos x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (- 1) into -1 1.991 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.991 * [backup-simplify]: Simplify (+ 0) into 0 1.991 * [backup-simplify]: Simplify (- 0) into 0 1.992 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.992 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.997 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.998 * [backup-simplify]: Simplify (* 1 1) into 1 1.998 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.998 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.998 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [backup-simplify]: Simplify 1.0 into 1.0 1.998 * [taylor]: Taking taylor expansion of (cos x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (- 1) into -1 1.999 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.999 * [backup-simplify]: Simplify (+ 0) into 0 1.999 * [backup-simplify]: Simplify (- 0) into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.000 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.001 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.001 * [backup-simplify]: Simplify (* 1 1) into 1 2.001 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.001 * [backup-simplify]: Simplify 1/2 into 1/2 2.002 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.002 * [backup-simplify]: Simplify (- 0) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.006 * [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 2.007 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.007 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.009 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 2.009 * [backup-simplify]: Simplify -1/24 into -1/24 2.011 * [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 2.011 * [backup-simplify]: Simplify (- 0) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.019 * [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 2.020 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.020 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.022 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 2.022 * [backup-simplify]: Simplify 1/720 into 1/720 2.022 * [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))) 2.022 * [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)) 2.022 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 2.022 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 2.022 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 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 (/ 1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (/ 1 1) into 1 2.023 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 2.023 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.023 * [taylor]: Taking taylor expansion of 1.0 in x 2.023 * [backup-simplify]: Simplify 1.0 into 1.0 2.023 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (/ 1 1) into 1 2.024 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.024 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.024 * [backup-simplify]: Simplify (* 1 1) into 1 2.024 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 2.024 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.025 * [backup-simplify]: Simplify (- 0) into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.026 * [backup-simplify]: Simplify (- 0) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (- 0) into 0 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.029 * [backup-simplify]: Simplify (- 0) into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.031 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.032 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.033 * [backup-simplify]: Simplify (- 0) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.035 * [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)))) 2.035 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 2.035 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 2.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.035 * [taylor]: Taking taylor expansion of 1.0 in x 2.035 * [backup-simplify]: Simplify 1.0 into 1.0 2.035 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.035 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.035 * [taylor]: Taking taylor expansion of -1 in x 2.035 * [backup-simplify]: Simplify -1 into -1 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ -1 1) into -1 2.036 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.036 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 2.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.036 * [taylor]: Taking taylor expansion of 1.0 in x 2.036 * [backup-simplify]: Simplify 1.0 into 1.0 2.036 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.036 * [taylor]: Taking taylor expansion of -1 in x 2.036 * [backup-simplify]: Simplify -1 into -1 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ -1 1) into -1 2.036 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.036 * [backup-simplify]: Simplify (* 1 1) into 1 2.036 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.037 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.037 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.037 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.037 * [backup-simplify]: Simplify (- 0) into 0 2.037 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (- 0) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (- 0) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (- 0) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (- 0) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (- 0) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.049 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.049 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos x))) x) into (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 2.049 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in (x) around 0 2.050 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (/ 1 1) into 1 2.050 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.050 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.050 * [taylor]: Taking taylor expansion of 1.0 in x 2.050 * [backup-simplify]: Simplify 1.0 into 1.0 2.050 * [taylor]: Taking taylor expansion of (cos x) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (- 1) into -1 2.051 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.051 * [backup-simplify]: Simplify (+ 0) into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.052 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.052 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.053 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.053 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.054 * [backup-simplify]: Simplify (- 0) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.054 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in x 2.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (/ 1 1) into 1 2.055 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.055 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.055 * [taylor]: Taking taylor expansion of 1.0 in x 2.055 * [backup-simplify]: Simplify 1.0 into 1.0 2.055 * [taylor]: Taking taylor expansion of (cos x) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (- 1) into -1 2.055 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.056 * [backup-simplify]: Simplify (+ 0) into 0 2.056 * [backup-simplify]: Simplify (- 0) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.057 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.057 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.057 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.058 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.058 * [backup-simplify]: Simplify (- 0) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.060 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 2.060 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.063 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.063 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.066 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 2.073 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 2.075 * [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 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (+ 0 0) into 0 2.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.084 * [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 2.085 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.085 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.089 * [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))) 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (+ (* 0 0) (+ (* 0 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 2.106 * [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)))) 2.111 * [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))))) 2.112 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) into (* (sqrt (- 1.0 (cos (/ 1 x)))) x) 2.112 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in (x) around 0 2.112 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in x 2.112 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.112 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.112 * [taylor]: Taking taylor expansion of 1.0 in x 2.112 * [backup-simplify]: Simplify 1.0 into 1.0 2.112 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.112 * [taylor]: Taking taylor expansion of x in x 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (/ 1 1) into 1 2.113 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.113 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.113 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.113 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 2.113 * [backup-simplify]: Simplify (- 0) into 0 2.114 * [backup-simplify]: Simplify (+ 0 0) into 0 2.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in x 2.114 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.114 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.114 * [taylor]: Taking taylor expansion of 1.0 in x 2.114 * [backup-simplify]: Simplify 1.0 into 1.0 2.114 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (/ 1 1) into 1 2.115 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.115 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.115 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.115 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 2.116 * [backup-simplify]: Simplify (- 0) into 0 2.116 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.116 * [taylor]: Taking taylor expansion of x in x 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ 1 x)))) 2.117 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 2.118 * [backup-simplify]: Simplify (- 0) into 0 2.118 * [backup-simplify]: Simplify (+ 0 0) into 0 2.119 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.120 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (- 0) into 0 2.122 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.124 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.124 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify (- 0) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.127 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (- 0) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.131 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify (- 0) into 0 2.131 * [backup-simplify]: Simplify (+ 0 0) into 0 2.132 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.134 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify (- 0) into 0 2.135 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.137 * [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 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 2.138 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) 2.138 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in (x) around 0 2.138 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in x 2.138 * [taylor]: Taking taylor expansion of -1 in x 2.138 * [backup-simplify]: Simplify -1 into -1 2.138 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ -1 x))))) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.138 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.138 * [taylor]: Taking taylor expansion of 1.0 in x 2.138 * [backup-simplify]: Simplify 1.0 into 1.0 2.139 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.139 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.139 * [taylor]: Taking taylor expansion of -1 in x 2.139 * [backup-simplify]: Simplify -1 into -1 2.139 * [taylor]: Taking taylor expansion of x in x 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ -1 1) into -1 2.139 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.140 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.140 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.140 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 2.140 * [backup-simplify]: Simplify (- 0) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.141 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in x 2.141 * [taylor]: Taking taylor expansion of -1 in x 2.141 * [backup-simplify]: Simplify -1 into -1 2.141 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ -1 x))))) in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.141 * [taylor]: Taking taylor expansion of 1.0 in x 2.141 * [backup-simplify]: Simplify 1.0 into 1.0 2.141 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.141 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.141 * [taylor]: Taking taylor expansion of -1 in x 2.141 * [backup-simplify]: Simplify -1 into -1 2.141 * [taylor]: Taking taylor expansion of x in x 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (/ -1 1) into -1 2.142 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.142 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.142 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.142 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 2.143 * [backup-simplify]: Simplify (- 0) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.143 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) into 0 2.144 * [backup-simplify]: Simplify (* -1 0) into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ -1 x)))))) into (sqrt (- 1.0 (cos (/ -1 x)))) 2.145 * [backup-simplify]: Simplify (+ (* -1 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 2.145 * [backup-simplify]: Simplify (- (sqrt (- 1.0 (cos (/ -1 x))))) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 2.146 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [backup-simplify]: Simplify (+ 0 0) into 0 2.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x))))))) into 0 2.148 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))) into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (- 0) into 0 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x)))))))) into 0 2.152 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))) into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (- 0) into 0 2.152 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x))))))))) into 0 2.155 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))) into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (- 0) into 0 2.156 * [backup-simplify]: Simplify (+ 0 0) into 0 2.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x)))))))))) into 0 2.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))) into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify (- 0) into 0 2.159 * [backup-simplify]: Simplify (+ 0 0) into 0 2.160 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 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#0: cost 142 inf + 0 2.633 * * [simplify]: Extracting #1: cost 1702 inf + 2 2.649 * * [simplify]: Extracting #2: cost 2253 inf + 2532 2.660 * * [simplify]: Extracting #3: cost 2167 inf + 14072 2.680 * * [simplify]: Extracting #4: cost 1953 inf + 49580 2.727 * * [simplify]: Extracting #5: cost 1568 inf + 146018 2.839 * * [simplify]: Extracting #6: cost 472 inf + 471217 2.985 * * [simplify]: Extracting #7: cost 10 inf + 623335 3.106 * * [simplify]: Extracting #8: cost 0 inf + 626055 3.257 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (fma (cos x) -1 (cos x)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (fma (cos x) -1 (cos x)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 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(sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (sqrt (- 1.0 (cos x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) x)) (sqrt (- 1.0 (cos x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) x)) (* (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ 1 (cbrt x)) (cbrt x))) (* (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) 1 (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) 1 (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (- 1.0 (cos x)) (* (/ 1 x) (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) 2 (* (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (/ (sqrt (- 1.0 (cos x))) x)) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)))) (/ (* (* (cbrt (sqrt (- 1.0 (cos x)))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (sqrt (- 1.0 (cos x)))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))))) (/ (* (/ (sqrt (- 1.0 (cos x))) x) (/ (fabs (cbrt (- 1.0 (cos x)))) (cbrt x))) (cbrt x)) (/ (* (sqrt (- 1.0 (cos x))) (/ (fabs (cbrt (- 1.0 (cos x)))) (sqrt x))) x) (/ (* (sqrt (- 1.0 (cos x))) (fabs (cbrt (- 1.0 (cos x))))) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) x) (/ (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) (/ (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (* (/ (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (cbrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x))) x) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x))))) x) (/ (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) x) (/ (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) (/ (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (- 1.0 (cos x)) x) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x))) x) (/ (* (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (sqrt (- 1.0 (cos x)))) x) (/ (* (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x))) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x)) x) (/ (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) (cbrt x)) (/ (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x))) x) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x))) x) (/ (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (sqrt (- 1.0 (cos x)))) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x))) x) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) (cbrt x)) (/ (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) x) (/ (* (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x))) x) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (expm1 (/ (sqrt (- 1.0 (cos x))) x)) (log1p (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (/ (- 1.0 (cos x)) (* x x)) (sqrt (- 1.0 (cos x)))) x) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (cbrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))))) (* x (sqrt (+ (cos x) 1.0))) (- (fma (* x x) 1/2 (* (* (* x x) x) (* (* (* x x) x) 1/720))) (* (* 1/24 (* x x)) (* x x))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (fma (* x x) 1/2 (* (* (* x x) x) (* (* (* x x) x) 1/720))) (* (* 1/24 (* x x)) (* x x))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/720 (* (* x x) (* x x)) (- 1/2 (* x (* x 1/24)))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (fma (/ (* (* x x) (* x x)) (sqrt 1/2)) 1/1440 (- (sqrt 1/2) (fma (/ (* x x) (sqrt 1/2)) 1/48 (* 1/4608 (* (/ (* x x) (sqrt 1/2)) (/ (* x x) 1/2)))))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 3.295 * * * [progress]: adding candidates to table 4.445 * * [progress]: iteration 3 / 4 4.445 * * * [progress]: picking best candidate 4.553 * * * * [pick]: Picked # 4.553 * * * [progress]: localizing error 4.580 * * * [progress]: generating rewritten candidates 4.580 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 4.591 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 4.620 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.695 * * * [progress]: generating series expansions 4.695 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 4.695 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 4.695 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.696 * [taylor]: Taking taylor expansion of 1.0 in x 4.696 * [backup-simplify]: Simplify 1.0 into 1.0 4.696 * [taylor]: Taking taylor expansion of (cos x) in x 4.696 * [taylor]: Taking taylor expansion of x in x 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 1 into 1 4.696 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.696 * [taylor]: Taking taylor expansion of 1.0 in x 4.696 * [backup-simplify]: Simplify 1.0 into 1.0 4.696 * [taylor]: Taking taylor expansion of (cos x) in x 4.696 * [taylor]: Taking taylor expansion of x in x 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 1 into 1 4.697 * [backup-simplify]: Simplify (- 1) into -1 4.697 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.697 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify (+ 0) into 0 4.698 * [backup-simplify]: Simplify (- 0) into 0 4.698 * [backup-simplify]: Simplify (+ 0 0) into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.700 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.700 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.701 * [backup-simplify]: Simplify 1/2 into 1/2 4.702 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.702 * [backup-simplify]: Simplify (- 0) into 0 4.703 * [backup-simplify]: Simplify (+ 0 0) into 0 4.703 * [backup-simplify]: Simplify 0 into 0 4.704 * [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 4.705 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.705 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.705 * [backup-simplify]: Simplify -1/24 into -1/24 4.706 * [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 4.706 * [backup-simplify]: Simplify (- 0) into 0 4.707 * [backup-simplify]: Simplify (+ 0 0) into 0 4.707 * [backup-simplify]: Simplify 0 into 0 4.709 * [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 4.710 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.710 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.710 * [backup-simplify]: Simplify 1/720 into 1/720 4.710 * [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))) 4.711 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.711 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.711 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.711 * [taylor]: Taking taylor expansion of 1.0 in x 4.711 * [backup-simplify]: Simplify 1.0 into 1.0 4.711 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.711 * [taylor]: Taking taylor expansion of x in x 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (/ 1 1) into 1 4.711 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.711 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.711 * [taylor]: Taking taylor expansion of 1.0 in x 4.711 * [backup-simplify]: Simplify 1.0 into 1.0 4.711 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.711 * [taylor]: Taking taylor expansion of x in x 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (/ 1 1) into 1 4.711 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.712 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.712 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.712 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.712 * [backup-simplify]: Simplify (- 0) into 0 4.712 * [backup-simplify]: Simplify (+ 0 0) into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify (- 0) into 0 4.713 * [backup-simplify]: Simplify (+ 0 0) into 0 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify (- 0) into 0 4.713 * [backup-simplify]: Simplify (+ 0 0) into 0 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify (- 0) into 0 4.714 * [backup-simplify]: Simplify (+ 0 0) into 0 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify (- 0) into 0 4.714 * [backup-simplify]: Simplify (+ 0 0) into 0 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify (- 0) into 0 4.715 * [backup-simplify]: Simplify (+ 0 0) into 0 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 4.715 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 4.715 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.715 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.715 * [taylor]: Taking taylor expansion of 1.0 in x 4.715 * [backup-simplify]: Simplify 1.0 into 1.0 4.715 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.715 * [taylor]: Taking taylor expansion of -1 in x 4.715 * [backup-simplify]: Simplify -1 into -1 4.715 * [taylor]: Taking taylor expansion of x in x 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (/ -1 1) into -1 4.715 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.715 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.715 * [taylor]: Taking taylor expansion of 1.0 in x 4.715 * [backup-simplify]: Simplify 1.0 into 1.0 4.715 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.715 * [taylor]: Taking taylor expansion of -1 in x 4.716 * [backup-simplify]: Simplify -1 into -1 4.716 * [taylor]: Taking taylor expansion of x in x 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (/ -1 1) into -1 4.716 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.716 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.716 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.716 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 4.716 * [backup-simplify]: Simplify (- 0) into 0 4.717 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify (- 0) into 0 4.717 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify (- 0) into 0 4.718 * [backup-simplify]: Simplify (+ 0 0) into 0 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify (- 0) into 0 4.718 * [backup-simplify]: Simplify (+ 0 0) into 0 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify (- 0) into 0 4.719 * [backup-simplify]: Simplify (+ 0 0) into 0 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify (- 0) into 0 4.719 * [backup-simplify]: Simplify (+ 0 0) into 0 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 4.719 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 4.719 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 4.719 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 4.719 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 4.719 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.719 * [taylor]: Taking taylor expansion of 1.0 in x 4.719 * [backup-simplify]: Simplify 1.0 into 1.0 4.719 * [taylor]: Taking taylor expansion of (cos x) in x 4.719 * [taylor]: Taking taylor expansion of x in x 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.720 * [taylor]: Taking taylor expansion of x in x 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 1 into 1 4.720 * [backup-simplify]: Simplify (- 1) into -1 4.720 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.720 * [backup-simplify]: Simplify (+ 0) into 0 4.721 * [backup-simplify]: Simplify (- 0) into 0 4.721 * [backup-simplify]: Simplify (+ 0 0) into 0 4.721 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.722 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.722 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.722 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.722 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 4.722 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.722 * [taylor]: Taking taylor expansion of 1.0 in x 4.722 * [backup-simplify]: Simplify 1.0 into 1.0 4.722 * [taylor]: Taking taylor expansion of (cos x) in x 4.722 * [taylor]: Taking taylor expansion of x in x 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 1 into 1 4.722 * [taylor]: Taking taylor expansion of x in x 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 1 into 1 4.723 * [backup-simplify]: Simplify (- 1) into -1 4.723 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.723 * [backup-simplify]: Simplify (+ 0) into 0 4.723 * [backup-simplify]: Simplify (- 0) into 0 4.724 * [backup-simplify]: Simplify (+ 0 0) into 0 4.724 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.724 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.725 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.725 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.725 * [backup-simplify]: Simplify 1/2 into 1/2 4.726 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.726 * [backup-simplify]: Simplify (- 0) into 0 4.726 * [backup-simplify]: Simplify (+ 0 0) into 0 4.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify 0 into 0 4.728 * [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 4.729 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.729 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.730 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.730 * [backup-simplify]: Simplify -1/24 into -1/24 4.731 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.732 * [backup-simplify]: Simplify (- 0) into 0 4.732 * [backup-simplify]: Simplify (+ 0 0) into 0 4.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.734 * [backup-simplify]: Simplify 0 into 0 4.739 * [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 4.739 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.740 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.742 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.742 * [backup-simplify]: Simplify 1/720 into 1/720 4.743 * [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))) 4.743 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) x) 4.743 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 4.743 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 4.743 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.743 * [taylor]: Taking taylor expansion of 1.0 in x 4.743 * [backup-simplify]: Simplify 1.0 into 1.0 4.743 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.743 * [taylor]: Taking taylor expansion of x in x 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 1 into 1 4.744 * [backup-simplify]: Simplify (/ 1 1) into 1 4.744 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.744 * [taylor]: Taking taylor expansion of x in x 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 1 into 1 4.744 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 4.744 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.744 * [taylor]: Taking taylor expansion of 1.0 in x 4.744 * [backup-simplify]: Simplify 1.0 into 1.0 4.744 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.744 * [taylor]: Taking taylor expansion of x in x 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 1 into 1 4.744 * [backup-simplify]: Simplify (/ 1 1) into 1 4.745 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.745 * [taylor]: Taking taylor expansion of x in x 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify 1 into 1 4.745 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.745 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.745 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 4.745 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify (- 0) into 0 4.746 * [backup-simplify]: Simplify (+ 0 0) into 0 4.746 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 4.747 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.747 * [backup-simplify]: Simplify (- 0) into 0 4.747 * [backup-simplify]: Simplify (+ 0 0) into 0 4.748 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify (- 0) into 0 4.749 * [backup-simplify]: Simplify (+ 0 0) into 0 4.750 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.750 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify (- 0) into 0 4.751 * [backup-simplify]: Simplify (+ 0 0) into 0 4.752 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify (- 0) into 0 4.753 * [backup-simplify]: Simplify (+ 0 0) into 0 4.754 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify (- 0) into 0 4.755 * [backup-simplify]: Simplify (+ 0 0) into 0 4.757 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.757 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify (- 0) into 0 4.758 * [backup-simplify]: Simplify (+ 0 0) into 0 4.759 * [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 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 4.759 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 4.759 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 4.759 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 4.760 * [taylor]: Taking taylor expansion of -1 in x 4.760 * [backup-simplify]: Simplify -1 into -1 4.760 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 4.760 * [taylor]: Taking taylor expansion of x in x 4.760 * [backup-simplify]: Simplify 0 into 0 4.760 * [backup-simplify]: Simplify 1 into 1 4.760 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.760 * [taylor]: Taking taylor expansion of 1.0 in x 4.760 * [backup-simplify]: Simplify 1.0 into 1.0 4.760 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.760 * [taylor]: Taking taylor expansion of -1 in x 4.760 * [backup-simplify]: Simplify -1 into -1 4.760 * [taylor]: Taking taylor expansion of x in x 4.760 * [backup-simplify]: Simplify 0 into 0 4.760 * [backup-simplify]: Simplify 1 into 1 4.760 * [backup-simplify]: Simplify (/ -1 1) into -1 4.760 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.761 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 4.761 * [taylor]: Taking taylor expansion of -1 in x 4.761 * [backup-simplify]: Simplify -1 into -1 4.761 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 4.761 * [taylor]: Taking taylor expansion of x in x 4.761 * [backup-simplify]: Simplify 0 into 0 4.761 * [backup-simplify]: Simplify 1 into 1 4.761 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.761 * [taylor]: Taking taylor expansion of 1.0 in x 4.761 * [backup-simplify]: Simplify 1.0 into 1.0 4.761 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.761 * [taylor]: Taking taylor expansion of -1 in x 4.761 * [backup-simplify]: Simplify -1 into -1 4.761 * [taylor]: Taking taylor expansion of x in x 4.761 * [backup-simplify]: Simplify 0 into 0 4.761 * [backup-simplify]: Simplify 1 into 1 4.761 * [backup-simplify]: Simplify (/ -1 1) into -1 4.761 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.762 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.762 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.762 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 4.762 * [backup-simplify]: Simplify (* -1 0) into 0 4.762 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify (- 0) into 0 4.763 * [backup-simplify]: Simplify (+ 0 0) into 0 4.764 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 4.764 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 4.764 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 4.765 * [backup-simplify]: Simplify (- 0) into 0 4.765 * [backup-simplify]: Simplify (+ 0 0) into 0 4.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 4.767 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify (- 0) into 0 4.768 * [backup-simplify]: Simplify (+ 0 0) into 0 4.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.770 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify (- 0) into 0 4.771 * [backup-simplify]: Simplify (+ 0 0) into 0 4.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 4.775 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 4.775 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify (- 0) into 0 4.776 * [backup-simplify]: Simplify (+ 0 0) into 0 4.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 4.780 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 4.780 * [backup-simplify]: Simplify 0 into 0 4.781 * [backup-simplify]: Simplify (- 0) into 0 4.786 * [backup-simplify]: Simplify (+ 0 0) into 0 4.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 4.790 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (- 0) into 0 4.791 * [backup-simplify]: Simplify (+ 0 0) into 0 4.794 * [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 4.796 * [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 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 4.796 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.797 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos x)) x) (/ 1 x)) into (/ (- 1.0 (cos x)) (pow x 2)) 4.797 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 4.797 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 4.797 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.797 * [taylor]: Taking taylor expansion of 1.0 in x 4.797 * [backup-simplify]: Simplify 1.0 into 1.0 4.797 * [taylor]: Taking taylor expansion of (cos x) in x 4.797 * [taylor]: Taking taylor expansion of x in x 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.797 * [taylor]: Taking taylor expansion of x in x 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify (- 1) into -1 4.798 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.798 * [backup-simplify]: Simplify (+ 0) into 0 4.798 * [backup-simplify]: Simplify (- 0) into 0 4.799 * [backup-simplify]: Simplify (+ 0 0) into 0 4.799 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.800 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.800 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.801 * [backup-simplify]: Simplify (* 1 1) into 1 4.801 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.801 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 4.801 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.801 * [taylor]: Taking taylor expansion of 1.0 in x 4.801 * [backup-simplify]: Simplify 1.0 into 1.0 4.801 * [taylor]: Taking taylor expansion of (cos x) in x 4.801 * [taylor]: Taking taylor expansion of x in x 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 1 into 1 4.801 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.801 * [taylor]: Taking taylor expansion of x in x 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 1 into 1 4.802 * [backup-simplify]: Simplify (- 1) into -1 4.802 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.802 * [backup-simplify]: Simplify (+ 0) into 0 4.803 * [backup-simplify]: Simplify (- 0) into 0 4.803 * [backup-simplify]: Simplify (+ 0 0) into 0 4.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.804 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.804 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.805 * [backup-simplify]: Simplify (* 1 1) into 1 4.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.805 * [backup-simplify]: Simplify 1/2 into 1/2 4.806 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.807 * [backup-simplify]: Simplify (- 0) into 0 4.807 * [backup-simplify]: Simplify (+ 0 0) into 0 4.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.808 * [backup-simplify]: Simplify 0 into 0 4.811 * [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 4.812 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.812 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.814 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 4.815 * [backup-simplify]: Simplify -1/24 into -1/24 4.818 * [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 4.818 * [backup-simplify]: Simplify (- 0) into 0 4.819 * [backup-simplify]: Simplify (+ 0 0) into 0 4.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.825 * [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 4.825 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.825 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.827 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 4.827 * [backup-simplify]: Simplify 1/720 into 1/720 4.827 * [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))) 4.827 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 4.827 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 4.828 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 4.828 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.828 * [taylor]: Taking taylor expansion of 1.0 in x 4.828 * [backup-simplify]: Simplify 1.0 into 1.0 4.828 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.828 * [taylor]: Taking taylor expansion of x in x 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 1 into 1 4.828 * [backup-simplify]: Simplify (/ 1 1) into 1 4.828 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.828 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.828 * [taylor]: Taking taylor expansion of x in x 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 1 into 1 4.828 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 4.828 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.828 * [taylor]: Taking taylor expansion of 1.0 in x 4.828 * [backup-simplify]: Simplify 1.0 into 1.0 4.828 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.828 * [taylor]: Taking taylor expansion of x in x 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 1 into 1 4.828 * [backup-simplify]: Simplify (/ 1 1) into 1 4.828 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.828 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.829 * [taylor]: Taking taylor expansion of x in x 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.829 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.829 * [backup-simplify]: Simplify (* 1 1) into 1 4.829 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 4.829 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.830 * [backup-simplify]: Simplify (- 0) into 0 4.830 * [backup-simplify]: Simplify (+ 0 0) into 0 4.830 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 4.830 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.831 * [backup-simplify]: Simplify (- 0) into 0 4.831 * [backup-simplify]: Simplify (+ 0 0) into 0 4.832 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.833 * [backup-simplify]: Simplify (- 0) into 0 4.833 * [backup-simplify]: Simplify (+ 0 0) into 0 4.833 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.833 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.834 * [backup-simplify]: Simplify (- 0) into 0 4.835 * [backup-simplify]: Simplify (+ 0 0) into 0 4.835 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.835 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.836 * [backup-simplify]: Simplify (- 0) into 0 4.836 * [backup-simplify]: Simplify (+ 0 0) into 0 4.837 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.837 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.838 * [backup-simplify]: Simplify (- 0) into 0 4.838 * [backup-simplify]: Simplify (+ 0 0) into 0 4.839 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 4.840 * [backup-simplify]: Simplify (* (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 4.840 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 4.840 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 4.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.840 * [taylor]: Taking taylor expansion of x in x 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 1 into 1 4.840 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.840 * [taylor]: Taking taylor expansion of 1.0 in x 4.840 * [backup-simplify]: Simplify 1.0 into 1.0 4.840 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.840 * [taylor]: Taking taylor expansion of -1 in x 4.840 * [backup-simplify]: Simplify -1 into -1 4.840 * [taylor]: Taking taylor expansion of x in x 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 1 into 1 4.840 * [backup-simplify]: Simplify (/ -1 1) into -1 4.840 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.840 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 4.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.840 * [taylor]: Taking taylor expansion of x in x 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 1 into 1 4.840 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.840 * [taylor]: Taking taylor expansion of 1.0 in x 4.840 * [backup-simplify]: Simplify 1.0 into 1.0 4.840 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.840 * [taylor]: Taking taylor expansion of -1 in x 4.841 * [backup-simplify]: Simplify -1 into -1 4.841 * [taylor]: Taking taylor expansion of x in x 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 1 into 1 4.841 * [backup-simplify]: Simplify (/ -1 1) into -1 4.841 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.841 * [backup-simplify]: Simplify (* 1 1) into 1 4.841 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.841 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.841 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.841 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 4.842 * [backup-simplify]: Simplify (- 0) into 0 4.842 * [backup-simplify]: Simplify (+ 0 0) into 0 4.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify (- 0) into 0 4.843 * [backup-simplify]: Simplify (+ 0 0) into 0 4.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 4.844 * [backup-simplify]: Simplify 0 into 0 4.844 * [backup-simplify]: Simplify (- 0) into 0 4.845 * [backup-simplify]: Simplify (+ 0 0) into 0 4.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify (- 0) into 0 4.847 * [backup-simplify]: Simplify (+ 0 0) into 0 4.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify (- 0) into 0 4.849 * [backup-simplify]: Simplify (+ 0 0) into 0 4.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 4.851 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify (- 0) into 0 4.851 * [backup-simplify]: Simplify (+ 0 0) into 0 4.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 4.854 * * * [progress]: simplifying candidates 4.856 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- 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(sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x))) (* (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (/ (- 1.0 (cos x)) x) (sqrt (/ 1 x))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) 1)) (* (/ (- 1.0 (cos x)) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ 1 1)) (* (/ (- 1.0 (cos x)) x) 1) (* (/ (- 1.0 (cos x)) x) 1) (* (cbrt (/ (- 1.0 (cos x)) x)) (/ 1 x)) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) x) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ 1 x) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) 1) (* (- 1.0 (cos x)) (/ 1 x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 4.858 * * [simplify]: iteration 0: 219 enodes 4.935 * * [simplify]: iteration 1: 625 enodes 5.504 * * [simplify]: iteration 2: 3378 enodes 6.919 * * [simplify]: iteration complete: 5002 enodes 6.919 * * [simplify]: Extracting #0: cost 99 inf + 0 6.924 * * [simplify]: Extracting #1: cost 1415 inf + 1 6.939 * * [simplify]: Extracting #2: cost 1637 inf + 23181 6.968 * * [simplify]: Extracting #3: cost 960 inf + 146134 7.056 * * [simplify]: Extracting #4: cost 134 inf + 348023 7.168 * * [simplify]: Extracting #5: cost 2 inf + 372595 7.268 * * [simplify]: Extracting #6: cost 0 inf + 370241 7.334 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (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))) (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0)) x) (* x (+ 1.0 (cos x))) (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x)) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* 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)) x) (/ (- 1.0 (cos x)) x)) (* (/ (- 1.0 (cos x)) x) (* (/ (/ 1 x) x) (/ 1 x)))) (/ (/ (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) x) (* x x)) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos 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) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (/ 1 x)))) (/ (sqrt (- 1.0 (cos x))) (/ (sqrt x) (sqrt (/ 1 x)))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (* (- 1.0 (cos x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) x) (/ (* (- 1.0 (cos x)) (sqrt (/ 1 x))) x) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (- 1.0 (cos x)) (* x x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (/ (/ 1 x) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (fma 1/2 (* x x) (fma (* 1/720 (* x (* x x))) (* x (* x x)) (* (* (* x x) (* x x)) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 5) 1/720 (fma 1/2 x (* (* x (* x x)) -1/24))) (/ (- 1.0 (cos x)) x) (/ (- (- (cos x) 1.0)) x) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) 7.341 * * * [progress]: adding candidates to table 7.796 * * [progress]: iteration 4 / 4 7.796 * * * [progress]: picking best candidate 7.896 * * * * [pick]: Picked # 7.896 * * * [progress]: localizing error 7.991 * * * [progress]: generating rewritten candidates 7.991 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 8.002 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 8.036 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 2) 8.048 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2 1) 8.058 * * * [progress]: generating series expansions 8.058 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 8.058 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 8.058 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 8.058 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.058 * [taylor]: Taking taylor expansion of 1.0 in x 8.058 * [backup-simplify]: Simplify 1.0 into 1.0 8.058 * [taylor]: Taking taylor expansion of (cos x) in x 8.058 * [taylor]: Taking taylor expansion of x in x 8.058 * [backup-simplify]: Simplify 0 into 0 8.058 * [backup-simplify]: Simplify 1 into 1 8.058 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.058 * [taylor]: Taking taylor expansion of 1.0 in x 8.058 * [backup-simplify]: Simplify 1.0 into 1.0 8.058 * [taylor]: Taking taylor expansion of (cos x) in x 8.058 * [taylor]: Taking taylor expansion of x in x 8.058 * [backup-simplify]: Simplify 0 into 0 8.058 * [backup-simplify]: Simplify 1 into 1 8.059 * [backup-simplify]: Simplify (- 1) into -1 8.059 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.059 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify (+ 0) into 0 8.060 * [backup-simplify]: Simplify (- 0) into 0 8.060 * [backup-simplify]: Simplify (+ 0 0) into 0 8.060 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.061 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.061 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.061 * [backup-simplify]: Simplify 1/2 into 1/2 8.062 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.062 * [backup-simplify]: Simplify (- 0) into 0 8.062 * [backup-simplify]: Simplify (+ 0 0) into 0 8.062 * [backup-simplify]: Simplify 0 into 0 8.064 * [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 8.064 * [backup-simplify]: Simplify (- 1/24) into -1/24 8.064 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 8.064 * [backup-simplify]: Simplify -1/24 into -1/24 8.066 * [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 8.066 * [backup-simplify]: Simplify (- 0) into 0 8.066 * [backup-simplify]: Simplify (+ 0 0) into 0 8.066 * [backup-simplify]: Simplify 0 into 0 8.069 * [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 8.069 * [backup-simplify]: Simplify (- -1/720) into 1/720 8.070 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 8.070 * [backup-simplify]: Simplify 1/720 into 1/720 8.070 * [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))) 8.070 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 8.070 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 8.070 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.070 * [taylor]: Taking taylor expansion of 1.0 in x 8.070 * [backup-simplify]: Simplify 1.0 into 1.0 8.070 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.070 * [taylor]: Taking taylor expansion of x in x 8.070 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify 1 into 1 8.070 * [backup-simplify]: Simplify (/ 1 1) into 1 8.071 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.071 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.071 * [taylor]: Taking taylor expansion of 1.0 in x 8.071 * [backup-simplify]: Simplify 1.0 into 1.0 8.071 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.071 * [taylor]: Taking taylor expansion of x in x 8.071 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify 1 into 1 8.071 * [backup-simplify]: Simplify (/ 1 1) into 1 8.071 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.071 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 8.071 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.071 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 8.071 * [backup-simplify]: Simplify (- 0) into 0 8.072 * [backup-simplify]: Simplify (+ 0 0) into 0 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify (- 0) into 0 8.072 * [backup-simplify]: Simplify (+ 0 0) into 0 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify (- 0) into 0 8.073 * [backup-simplify]: Simplify (+ 0 0) into 0 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify (- 0) into 0 8.073 * [backup-simplify]: Simplify (+ 0 0) into 0 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify (- 0) into 0 8.074 * [backup-simplify]: Simplify (+ 0 0) into 0 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [backup-simplify]: Simplify (- 0) into 0 8.074 * [backup-simplify]: Simplify (+ 0 0) into 0 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 8.074 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 8.074 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 8.074 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.074 * [taylor]: Taking taylor expansion of 1.0 in x 8.074 * [backup-simplify]: Simplify 1.0 into 1.0 8.074 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.074 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.075 * [taylor]: Taking taylor expansion of -1 in x 8.075 * [backup-simplify]: Simplify -1 into -1 8.075 * [taylor]: Taking taylor expansion of x in x 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 1 into 1 8.075 * [backup-simplify]: Simplify (/ -1 1) into -1 8.075 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.075 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.075 * [taylor]: Taking taylor expansion of 1.0 in x 8.075 * [backup-simplify]: Simplify 1.0 into 1.0 8.075 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.075 * [taylor]: Taking taylor expansion of -1 in x 8.075 * [backup-simplify]: Simplify -1 into -1 8.075 * [taylor]: Taking taylor expansion of x in x 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 1 into 1 8.075 * [backup-simplify]: Simplify (/ -1 1) into -1 8.075 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.075 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 8.076 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 8.076 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 8.076 * [backup-simplify]: Simplify (- 0) into 0 8.076 * [backup-simplify]: Simplify (+ 0 0) into 0 8.076 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify (- 0) into 0 8.077 * [backup-simplify]: Simplify (+ 0 0) into 0 8.077 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify (- 0) into 0 8.077 * [backup-simplify]: Simplify (+ 0 0) into 0 8.077 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify (- 0) into 0 8.078 * [backup-simplify]: Simplify (+ 0 0) into 0 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify (- 0) into 0 8.078 * [backup-simplify]: Simplify (+ 0 0) into 0 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify (- 0) into 0 8.079 * [backup-simplify]: Simplify (+ 0 0) into 0 8.079 * [backup-simplify]: Simplify 0 into 0 8.079 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 8.079 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 8.079 * [backup-simplify]: Simplify (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) into (- 1.0 (pow (cos x) 3)) 8.080 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 8.080 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 8.080 * [taylor]: Taking taylor expansion of 1.0 in x 8.080 * [backup-simplify]: Simplify 1.0 into 1.0 8.080 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 8.080 * [taylor]: Taking taylor expansion of (cos x) in x 8.080 * [taylor]: Taking taylor expansion of x in x 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 1 into 1 8.080 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 8.080 * [taylor]: Taking taylor expansion of 1.0 in x 8.080 * [backup-simplify]: Simplify 1.0 into 1.0 8.080 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 8.080 * [taylor]: Taking taylor expansion of (cos x) in x 8.080 * [taylor]: Taking taylor expansion of x in x 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 1 into 1 8.080 * [backup-simplify]: Simplify (* 1 1) into 1 8.081 * [backup-simplify]: Simplify (* 1 1) into 1 8.081 * [backup-simplify]: Simplify (- 1) into -1 8.081 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify (+ 0) into 0 8.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.082 * [backup-simplify]: Simplify (- 0) into 0 8.083 * [backup-simplify]: Simplify (+ 0 0) into 0 8.083 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.084 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 8.084 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 8.085 * [backup-simplify]: Simplify (- -3/2) into 3/2 8.085 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 8.085 * [backup-simplify]: Simplify 3/2 into 3/2 8.086 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 8.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 8.088 * [backup-simplify]: Simplify (- 0) into 0 8.089 * [backup-simplify]: Simplify (+ 0 0) into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.091 * [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 8.093 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 8.095 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 8.095 * [backup-simplify]: Simplify (- 7/8) into -7/8 8.095 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 8.095 * [backup-simplify]: Simplify -7/8 into -7/8 8.097 * [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 8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 8.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 8.102 * [backup-simplify]: Simplify (- 0) into 0 8.103 * [backup-simplify]: Simplify (+ 0 0) into 0 8.103 * [backup-simplify]: Simplify 0 into 0 8.108 * [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 8.110 * [backup-simplify]: Simplify (+ (* 1 -1/720) (+ (* 0 0) (+ (* -1/2 1/24) (+ (* 0 0) (+ (* 1/24 -1/2) (+ (* 0 0) (* -1/720 1))))))) into -2/45 8.113 * [backup-simplify]: Simplify (+ (* 1 -2/45) (+ (* 0 0) (+ (* -1/2 1/3) (+ (* 0 0) (+ (* 1/24 -1) (+ (* 0 0) (* -1/720 1))))))) into -61/240 8.114 * [backup-simplify]: Simplify (- -61/240) into 61/240 8.114 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 8.114 * [backup-simplify]: Simplify 61/240 into 61/240 8.115 * [backup-simplify]: Simplify (+ (* 61/240 (pow x 6)) (+ (* -7/8 (pow x 4)) (* 3/2 (pow x 2)))) into (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) 8.116 * [backup-simplify]: Simplify (- (* (* 1.0 1.0) 1.0) (* (* (cos (/ 1 x)) (cos (/ 1 x))) (cos (/ 1 x)))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 8.116 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 8.116 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 8.116 * [taylor]: Taking taylor expansion of 1.0 in x 8.116 * [backup-simplify]: Simplify 1.0 into 1.0 8.116 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 8.116 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.116 * [taylor]: Taking taylor expansion of x in x 8.116 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify 1 into 1 8.117 * [backup-simplify]: Simplify (/ 1 1) into 1 8.117 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.117 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 8.117 * [taylor]: Taking taylor expansion of 1.0 in x 8.117 * [backup-simplify]: Simplify 1.0 into 1.0 8.117 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 8.117 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.117 * [taylor]: Taking taylor expansion of x in x 8.117 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify 1 into 1 8.118 * [backup-simplify]: Simplify (/ 1 1) into 1 8.118 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.118 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 8.118 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 8.118 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 8.119 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 8.119 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 8.119 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 8.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 8.120 * [backup-simplify]: Simplify (- 0) into 0 8.121 * [backup-simplify]: Simplify (+ 0 0) into 0 8.121 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 8.122 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 8.122 * [backup-simplify]: Simplify (- 0) into 0 8.123 * [backup-simplify]: Simplify (+ 0 0) into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 8.125 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 8.125 * [backup-simplify]: Simplify (- 0) into 0 8.125 * [backup-simplify]: Simplify (+ 0 0) into 0 8.125 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 8.128 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 8.128 * [backup-simplify]: Simplify (- 0) into 0 8.129 * [backup-simplify]: Simplify (+ 0 0) into 0 8.129 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 8.132 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 8.133 * [backup-simplify]: Simplify (- 0) into 0 8.133 * [backup-simplify]: Simplify (+ 0 0) into 0 8.133 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 8.137 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))))) into 0 8.137 * [backup-simplify]: Simplify (- 0) into 0 8.138 * [backup-simplify]: Simplify (+ 0 0) into 0 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 (/ 1 x))) 3)) into (- 1.0 (pow (cos x) 3)) 8.139 * [backup-simplify]: Simplify (- (* (* 1.0 1.0) 1.0) (* (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (cos (/ 1 (- x))))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 8.139 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 8.139 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 8.139 * [taylor]: Taking taylor expansion of 1.0 in x 8.140 * [backup-simplify]: Simplify 1.0 into 1.0 8.140 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 8.140 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.140 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.140 * [taylor]: Taking taylor expansion of -1 in x 8.140 * [backup-simplify]: Simplify -1 into -1 8.140 * [taylor]: Taking taylor expansion of x in x 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify 1 into 1 8.144 * [backup-simplify]: Simplify (/ -1 1) into -1 8.144 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.144 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 8.144 * [taylor]: Taking taylor expansion of 1.0 in x 8.144 * [backup-simplify]: Simplify 1.0 into 1.0 8.145 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 8.145 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.145 * [taylor]: Taking taylor expansion of -1 in x 8.145 * [backup-simplify]: Simplify -1 into -1 8.145 * [taylor]: Taking taylor expansion of x in x 8.145 * [backup-simplify]: Simplify 0 into 0 8.145 * [backup-simplify]: Simplify 1 into 1 8.145 * [backup-simplify]: Simplify (/ -1 1) into -1 8.146 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.146 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 8.146 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 8.146 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 8.147 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 8.147 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 x)) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 8.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 8.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 8.148 * [backup-simplify]: Simplify (- 0) into 0 8.148 * [backup-simplify]: Simplify (+ 0 0) into 0 8.148 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 8.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 8.150 * [backup-simplify]: Simplify (- 0) into 0 8.150 * [backup-simplify]: Simplify (+ 0 0) into 0 8.150 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 8.152 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 8.152 * [backup-simplify]: Simplify (- 0) into 0 8.153 * [backup-simplify]: Simplify (+ 0 0) into 0 8.153 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 8.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 8.156 * [backup-simplify]: Simplify (- 0) into 0 8.156 * [backup-simplify]: Simplify (+ 0 0) into 0 8.156 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 8.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 8.160 * [backup-simplify]: Simplify (- 0) into 0 8.160 * [backup-simplify]: Simplify (+ 0 0) into 0 8.160 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 8.164 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))))) into 0 8.165 * [backup-simplify]: Simplify (- 0) into 0 8.165 * [backup-simplify]: Simplify (+ 0 0) into 0 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 3)) into (- 1.0 (pow (cos x) 3)) 8.166 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 2) 8.166 * [backup-simplify]: Simplify (+ (* (cos x) (cos x)) (* 1.0 (cos x))) into (+ (* 1.0 (cos x)) (pow (cos x) 2)) 8.166 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos x)) (pow (cos x) 2)) in (x) around 0 8.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos x)) (pow (cos x) 2)) in x 8.166 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 8.166 * [taylor]: Taking taylor expansion of 1.0 in x 8.166 * [backup-simplify]: Simplify 1.0 into 1.0 8.166 * [taylor]: Taking taylor expansion of (cos x) in x 8.166 * [taylor]: Taking taylor expansion of x in x 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 8.166 * [taylor]: Taking taylor expansion of (cos x) in x 8.166 * [taylor]: Taking taylor expansion of x in x 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos x)) (pow (cos x) 2)) in x 8.166 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 8.166 * [taylor]: Taking taylor expansion of 1.0 in x 8.166 * [backup-simplify]: Simplify 1.0 into 1.0 8.166 * [taylor]: Taking taylor expansion of (cos x) in x 8.166 * [taylor]: Taking taylor expansion of x in x 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 8.166 * [taylor]: Taking taylor expansion of (cos x) in x 8.167 * [taylor]: Taking taylor expansion of x in x 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 1 into 1 8.167 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.167 * [backup-simplify]: Simplify (* 1 1) into 1 8.168 * [backup-simplify]: Simplify (+ 1.0 1) into 2.0 8.168 * [backup-simplify]: Simplify 2.0 into 2.0 8.168 * [backup-simplify]: Simplify (+ 0) into 0 8.169 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 8.169 * [backup-simplify]: Simplify (+ 0) into 0 8.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.171 * [backup-simplify]: Simplify (+ 0 0) into 0 8.171 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.173 * [backup-simplify]: Simplify (+ (* 1.0 -1/2) (+ (* 0 0) (* 0 1))) into (- 0.5) 8.174 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.175 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 8.176 * [backup-simplify]: Simplify (+ (- 0.5) -1) into (- 1.5) 8.177 * [backup-simplify]: Simplify (- 1.5) into (- 1.5) 8.178 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.179 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 8.180 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 8.183 * [backup-simplify]: Simplify (+ 0 0) into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.186 * [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 8.189 * [backup-simplify]: Simplify (+ (* 1.0 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 0.041666666666666664 8.192 * [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 8.194 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 8.194 * [backup-simplify]: Simplify (+ 0.041666666666666664 1/3) into 0.375 8.194 * [backup-simplify]: Simplify 0.375 into 0.375 8.195 * [backup-simplify]: Simplify (+ (* 0.375 (pow x 4)) (+ (* (- 1.5) (pow x 2)) 2.0)) into (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) 8.195 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) (cos (/ 1 x))) (* 1.0 (cos (/ 1 x)))) into (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) 8.195 * [approximate]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) in (x) around 0 8.195 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) in x 8.195 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 8.195 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.195 * [taylor]: Taking taylor expansion of x in x 8.195 * [backup-simplify]: Simplify 0 into 0 8.195 * [backup-simplify]: Simplify 1 into 1 8.196 * [backup-simplify]: Simplify (/ 1 1) into 1 8.196 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.196 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 8.196 * [taylor]: Taking taylor expansion of 1.0 in x 8.196 * [backup-simplify]: Simplify 1.0 into 1.0 8.196 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.196 * [taylor]: Taking taylor expansion of x in x 8.196 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify 1 into 1 8.196 * [backup-simplify]: Simplify (/ 1 1) into 1 8.196 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.196 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) in x 8.196 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 8.197 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.197 * [taylor]: Taking taylor expansion of x in x 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify 1 into 1 8.197 * [backup-simplify]: Simplify (/ 1 1) into 1 8.197 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.197 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 8.197 * [taylor]: Taking taylor expansion of 1.0 in x 8.197 * [backup-simplify]: Simplify 1.0 into 1.0 8.197 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.197 * [taylor]: Taking taylor expansion of x in x 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify 1 into 1 8.198 * [backup-simplify]: Simplify (/ 1 1) into 1 8.198 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.198 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 8.198 * [backup-simplify]: Simplify (* 1.0 (cos (/ 1 x))) into (* 1.0 (cos (/ 1 x))) 8.198 * [backup-simplify]: Simplify (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) into (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) 8.199 * [backup-simplify]: Simplify (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) into (+ (pow (cos (/ 1 x)) 2) (* 1.0 (cos (/ 1 x)))) 8.199 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 8.199 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ 1 x)))) into 0 8.200 * [backup-simplify]: Simplify (+ 0 0) into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 8.201 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 8.201 * [backup-simplify]: Simplify (+ 0 0) into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 8.203 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 8.204 * [backup-simplify]: Simplify (+ 0 0) into 0 8.204 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 8.206 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 8.207 * [backup-simplify]: Simplify (+ 0 0) into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 8.209 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 8.209 * [backup-simplify]: Simplify (+ 0 0) into 0 8.209 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 8.212 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 8.212 * [backup-simplify]: Simplify (+ 0 0) into 0 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (+ (pow (cos (/ 1 (/ 1 x))) 2) (* 1.0 (cos (/ 1 (/ 1 x))))) into (+ (* 1.0 (cos x)) (pow (cos x) 2)) 8.213 * [backup-simplify]: Simplify (+ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* 1.0 (cos (/ 1 (- x))))) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 8.213 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in (x) around 0 8.213 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 8.213 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 8.213 * [taylor]: Taking taylor expansion of 1.0 in x 8.213 * [backup-simplify]: Simplify 1.0 into 1.0 8.213 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.213 * [taylor]: Taking taylor expansion of -1 in x 8.213 * [backup-simplify]: Simplify -1 into -1 8.213 * [taylor]: Taking taylor expansion of x in x 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 1 into 1 8.213 * [backup-simplify]: Simplify (/ -1 1) into -1 8.213 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.213 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 8.213 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.213 * [taylor]: Taking taylor expansion of -1 in x 8.213 * [backup-simplify]: Simplify -1 into -1 8.213 * [taylor]: Taking taylor expansion of x in x 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 1 into 1 8.214 * [backup-simplify]: Simplify (/ -1 1) into -1 8.214 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 8.214 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 8.214 * [taylor]: Taking taylor expansion of 1.0 in x 8.214 * [backup-simplify]: Simplify 1.0 into 1.0 8.214 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.214 * [taylor]: Taking taylor expansion of -1 in x 8.214 * [backup-simplify]: Simplify -1 into -1 8.214 * [taylor]: Taking taylor expansion of x in x 8.214 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify 1 into 1 8.214 * [backup-simplify]: Simplify (/ -1 1) into -1 8.214 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.214 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 8.214 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.214 * [taylor]: Taking taylor expansion of -1 in x 8.214 * [backup-simplify]: Simplify -1 into -1 8.214 * [taylor]: Taking taylor expansion of x in x 8.214 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify 1 into 1 8.215 * [backup-simplify]: Simplify (/ -1 1) into -1 8.215 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.215 * [backup-simplify]: Simplify (* 1.0 (cos (/ -1 x))) into (* 1.0 (cos (/ -1 x))) 8.215 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 8.215 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 8.215 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 8.216 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ -1 x)))) into 0 8.216 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 8.216 * [backup-simplify]: Simplify (+ 0 0) into 0 8.216 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 8.217 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 8.217 * [backup-simplify]: Simplify (+ 0 0) into 0 8.217 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 8.218 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 8.219 * [backup-simplify]: Simplify (+ 0 0) into 0 8.219 * [backup-simplify]: Simplify 0 into 0 8.220 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 8.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 8.221 * [backup-simplify]: Simplify (+ 0 0) into 0 8.221 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 8.223 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 8.223 * [backup-simplify]: Simplify (+ 0 0) into 0 8.223 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 8.226 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 8.226 * [backup-simplify]: Simplify (+ 0 0) into 0 8.226 * [backup-simplify]: Simplify 0 into 0 8.226 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (+ (* 1.0 (cos x)) (pow (cos x) 2)) 8.226 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2 1) 8.227 * [backup-simplify]: Simplify (* (cos x) (cos x)) into (pow (cos x) 2) 8.227 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 8.227 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 8.227 * [taylor]: Taking taylor expansion of (cos x) in x 8.227 * [taylor]: Taking taylor expansion of x in x 8.227 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify 1 into 1 8.227 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 8.227 * [taylor]: Taking taylor expansion of (cos x) in x 8.227 * [taylor]: Taking taylor expansion of x in x 8.227 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify 1 into 1 8.227 * [backup-simplify]: Simplify (* 1 1) into 1 8.227 * [backup-simplify]: Simplify 1 into 1 8.227 * [backup-simplify]: Simplify (+ 0) into 0 8.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.229 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 8.229 * [backup-simplify]: Simplify -1 into -1 8.230 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.233 * [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 8.234 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 8.234 * [backup-simplify]: Simplify 1/3 into 1/3 8.235 * [backup-simplify]: Simplify (+ (* 1/3 (pow x 4)) (+ (* -1 (pow x 2)) 1)) into (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) 8.235 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 8.235 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 8.235 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 8.235 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.235 * [taylor]: Taking taylor expansion of x in x 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 1 into 1 8.236 * [backup-simplify]: Simplify (/ 1 1) into 1 8.236 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.236 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 8.236 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.236 * [taylor]: Taking taylor expansion of x in x 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify 1 into 1 8.236 * [backup-simplify]: Simplify (/ 1 1) into 1 8.236 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.237 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 8.237 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 2) into (pow (cos (/ 1 x)) 2) 8.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 8.238 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 8.238 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 8.240 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 2) into (pow (cos x) 2) 8.244 * [backup-simplify]: Simplify (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) into (pow (cos (/ -1 x)) 2) 8.244 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 8.244 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 8.244 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.244 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.244 * [taylor]: Taking taylor expansion of -1 in x 8.244 * [backup-simplify]: Simplify -1 into -1 8.244 * [taylor]: Taking taylor expansion of x in x 8.244 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify 1 into 1 8.245 * [backup-simplify]: Simplify (/ -1 1) into -1 8.245 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.245 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 8.245 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.245 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.245 * [taylor]: Taking taylor expansion of -1 in x 8.245 * [backup-simplify]: Simplify -1 into -1 8.245 * [taylor]: Taking taylor expansion of x in x 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.245 * [backup-simplify]: Simplify (/ -1 1) into -1 8.246 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.246 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 8.246 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 2) into (pow (cos (/ -1 x)) 2) 8.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 8.247 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 8.248 * [backup-simplify]: Simplify 0 into 0 8.249 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 8.249 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 8.251 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 8.253 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 2) into (pow (cos x) 2) 8.253 * * * [progress]: simplifying candidates 8.255 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (fma (* 1.0 1.0) 1.0 (- (* (cos x) (* (cos x) (cos x))))) (fma (- (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cos x) (cos x)))) (expm1 (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (log1p (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (- (* (* (cos x) (cos x)) (cos x))) (/ (exp (* (* 1.0 1.0) 1.0)) (exp (* (* (cos x) (cos x)) (cos x)))) (log (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (exp (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (* (cbrt (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (cbrt (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))))) (cbrt (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (* (* (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (sqrt (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (sqrt (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x)))) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- 1.0 (cos x)) (- (pow (* (* 1.0 1.0) 1.0) 3) (pow (* (* (cos x) (cos x)) (cos x)) 3)) (+ (* (* (* 1.0 1.0) 1.0) (* (* 1.0 1.0) 1.0)) (+ (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))))) (- (* (* (cos x) (cos x)) (cos x))) (- (* (* (* 1.0 1.0) 1.0) (* (* 1.0 1.0) 1.0)) (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x)))) (+ (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) (- (* (* (cos x) (cos x)) (cos x))) (expm1 (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (log1p (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (exp (* (cos x) (cos x))) (exp (* 1.0 (cos x)))) (log (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (exp (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (* (+ (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (pow (* (cos x) (cos x)) 3) (pow (* 1.0 (cos x)) 3)) (+ (* (* (cos x) (cos x)) (* (cos x) (cos x))) (- (* (* 1.0 (cos x)) (* 1.0 (cos x))) (* (* (cos x) (cos x)) (* 1.0 (cos x))))) (- (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* 1.0 (cos x)) (* 1.0 (cos x)))) (- (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (cos x) 1.0) (+ (* 1/2 (cos (* 2 x))) (* 1.0 (cos x))) (expm1 (* (cos x) (cos x))) (log1p (* (cos x) (cos x))) (* 1/2 (cos (* 2 x))) (+ (cos (+ x x)) (cos (- x x))) (+ 1 1) (* (cos x) (cos x)) (+ 1 1) (+ (log (cos x)) (log (cos x))) (log (* (cos x) (cos x))) (exp (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (* (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cbrt (cos x)) (cbrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 1 1) (* (cos x) (cos x)) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 2 1) (* (cos x) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cos x) (sqrt (cos x))) (* (cos x) 1) (* (cbrt (cos x)) (cos x)) (* (sqrt (cos x)) (cos x)) (* (cos x) (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) (+ (* 1.0 (cos x)) (pow (cos x) 2)) (+ (* 1.0 (cos x)) (pow (cos x) 2)) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) 8.259 * * [simplify]: iteration 0: 172 enodes 8.314 * * [simplify]: iteration 1: 472 enodes 8.809 * * [simplify]: iteration 2: 3318 enodes 11.180 * * [simplify]: iteration complete: 5000 enodes 11.180 * * [simplify]: Extracting #0: cost 69 inf + 0 11.183 * * [simplify]: Extracting #1: cost 824 inf + 2 11.190 * * [simplify]: Extracting #2: cost 1280 inf + 3003 11.213 * * [simplify]: Extracting #3: cost 574 inf + 110681 11.297 * * [simplify]: Extracting #4: cost 28 inf + 210080 11.382 * * [simplify]: Extracting #5: cost 0 inf + 217043 11.462 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (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))) (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))) (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))) (fma (- (cos x)) (* (cos x) (cos x)) (* (* (cos x) (cos x)) (cos x))) (expm1 (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (log1p (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (* (* (- (cos x)) (cos x)) (cos x)) (exp (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (log (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (exp (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (* (cbrt (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (cbrt (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))))) (cbrt (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (* (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))) (* (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))))) (sqrt (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (sqrt (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0)) (- 1.0 (cos x)) (- (* (* (* 1.0 (* 1.0 1.0)) (* 1.0 (* 1.0 1.0))) (* 1.0 (* 1.0 1.0))) (* (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (* (cos x) (cos x)) (cos x)))) (fma (* (* (cos x) (cos x)) (cos x)) (+ (* (* (cos x) (cos x)) (cos x)) (* 1.0 (* 1.0 1.0))) (* (* 1.0 (* 1.0 1.0)) (* 1.0 (* 1.0 1.0)))) (* (* (- (cos x)) (cos x)) (cos x)) (- (* (* 1.0 (* 1.0 1.0)) (* 1.0 (* 1.0 1.0))) (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x)))) (fma (cos x) (* (cos x) (cos x)) (* 1.0 (* 1.0 1.0))) (* (* (- (cos x)) (cos x)) (cos x)) (expm1 (* (cos x) (+ (cos x) 1.0))) (log1p (* (cos x) (+ (cos x) 1.0))) (exp (* (cos x) (+ (cos x) 1.0))) (log (* (cos x) (+ (cos x) 1.0))) (exp (* (cos x) (+ (cos x) 1.0))) (* (cbrt (* (cos x) (+ (cos x) 1.0))) (cbrt (* (cos x) (+ (cos x) 1.0)))) (cbrt (* (cos x) (+ (cos x) 1.0))) (* (* (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0))) (* (cos x) (+ (cos x) 1.0))) (sqrt (* (cos x) (+ (cos x) 1.0))) (sqrt (* (cos x) (+ (cos x) 1.0))) (* (* (* (cos x) (cos x)) (cos x)) (fma (* 1.0 1.0) 1.0 (* (* (cos x) (cos x)) (cos x)))) (fma (* 1.0 (cos x)) (* (cos x) (- 1.0 (cos x))) (* (* (cos x) (cos x)) (* (cos x) (cos x)))) (- (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* 1.0 (cos x)) (* 1.0 (cos x)))) (* (cos x) (- (cos x) 1.0)) (+ (cos x) 1.0) (fma (cos x) 1.0 (* 1/2 (cos (+ x x)))) (expm1 (* (cos x) (cos x))) (log1p (* (cos x) (cos x))) (* 1/2 (cos (+ x x))) (+ 1 (cos (+ x x))) 2 (* (cos x) (cos x)) 2 (+ (log (cos x)) (log (cos x))) (+ (log (cos x)) (log (cos x))) (exp (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (fabs (cos x)) (fabs (cos x)) (* (cos x) (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (cos x) (cos x) 1 (* (cos x) (cos x)) (cos x) (cos x) 2 (* (cbrt (cos x)) (* (cbrt (cos x)) (cos x))) (* (cos x) (sqrt (cos x))) (cos x) (* (cos x) (cbrt (cos x))) (* (cos x) (sqrt (cos x))) (* (cos x) (cos x)) (fma (* x x) 1/2 (fma 1/720 (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 3/2 (* x x) (fma (* (* x x) x) (* (* (* x x) x) 61/240) (* (* (* x x) (* x x)) -7/8))) (- 1.0 (* (* (cos x) (cos x)) (cos x))) (- 1.0 (* (* (cos x) (cos x)) (cos x))) (- (fma 0.375 (* (* x x) (* x x)) 2.0) (* (* x x) 1.5)) (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0)) (fma 1/3 (* (* x x) (* x x)) (- 1 (* x x))) (* (cos x) (cos x)) (* (cos x) (cos x)) 11.483 * * * [progress]: adding candidates to table 12.003 * [progress]: [Phase 3 of 3] Extracting. 12.004 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 12.008 * * * [regime-changes]: Trying 1 branch expressions: (x) 12.009 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 12.125 * * * [regime]: Found split indices: #