16.133 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.071 * * * [progress]: [2/2] Setting up program. 0.074 * [progress]: [Phase 2 of 3] Improving. 0.074 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.075 * * [simplify]: Extracting # 0 : cost 0 0.075 * * [simplify]: Extracting # 1 : cost 0 0.075 * * [simplify]: Extracting # 2 : cost 0 0.075 * * [simplify]: Extracting # 3 : cost 0 0.075 * * [simplify]: Extracting # 4 : cost 0 0.075 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.077 * * [simplify]: Extracting # 0 : cost 0 0.077 * * [simplify]: Extracting # 1 : cost 0 0.077 * * [simplify]: Extracting # 2 : cost 0 0.077 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: Extracting # 1 : cost 0 0.082 * * [simplify]: Extracting # 2 : cost 0 0.082 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.088 * * [simplify]: Extracting # 0 : cost 0 0.088 * * [simplify]: Extracting # 1 : cost 0 0.088 * * [simplify]: Extracting # 2 : cost 0 0.088 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: iteration 4 : 28 enodes (cost 8 ) 0.097 * * [simplify]: Extracting # 0 : cost 0 0.097 * * [simplify]: iteration done: 28 enodes (cost 8 ) 0.097 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.097 * * [progress]: iteration 1 / 4 0.097 * * * [progress]: picking best candidate 0.099 * * * * [pick]: Picked # 0.099 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.106 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.157 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.169 * * * [progress]: generating series expansions 0.169 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.174 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.174 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.175 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos 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 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 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 * [backup-simplify]: Simplify (- 1) into -1 0.177 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.178 * [backup-simplify]: Simplify (+ 0) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.179 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.179 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.180 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [backup-simplify]: Simplify 1.0 into 1.0 0.180 * [taylor]: Taking taylor expansion of (cos x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (- 1) into -1 0.181 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.181 * [backup-simplify]: Simplify (+ 0) 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 (/ (pow 1 2) 2)) 0) into -1/2 0.183 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.183 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.184 * [backup-simplify]: Simplify 1/2 into 1/2 0.185 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.188 * [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 0.188 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.188 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.189 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.190 * [backup-simplify]: Simplify -1/24 into -1/24 0.191 * [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 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.197 * [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 0.197 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.197 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.199 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.199 * [backup-simplify]: Simplify 1/720 into 1/720 0.201 * [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))) 0.201 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.201 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.202 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [backup-simplify]: Simplify 1.0 into 1.0 0.202 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.204 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.204 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.204 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.204 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [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 1))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.226 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.227 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.227 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in 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 0.228 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.228 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.228 * [taylor]: Taking taylor expansion of -1 in x 0.228 * [backup-simplify]: Simplify -1 into -1 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ -1 1) into -1 0.229 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.229 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.230 * [backup-simplify]: Simplify (* 1 1) into 1 0.230 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.230 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.250 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.250 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.250 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [taylor]: Taking taylor expansion of (cos x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [taylor]: Taking taylor expansion of (cos x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (- 1) into -1 0.252 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ 0) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.254 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.255 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.255 * [backup-simplify]: Simplify 1/2 into 1/2 0.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.259 * [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 0.259 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.260 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.260 * [backup-simplify]: Simplify -1/24 into -1/24 0.262 * [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 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.276 * [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 0.277 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.277 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.277 * [backup-simplify]: Simplify 1/720 into 1/720 0.278 * [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))) 0.278 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.278 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [backup-simplify]: Simplify 1.0 into 1.0 0.278 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [backup-simplify]: Simplify 1.0 into 1.0 0.278 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.279 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.279 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.279 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.282 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.282 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [backup-simplify]: Simplify 1.0 into 1.0 0.282 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.282 * [taylor]: Taking taylor expansion of -1 in x 0.282 * [backup-simplify]: Simplify -1 into -1 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ -1 1) into -1 0.283 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [backup-simplify]: Simplify 1.0 into 1.0 0.283 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [backup-simplify]: Simplify -1 into -1 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ -1 1) into -1 0.283 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.283 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.283 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.283 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.287 * * * [progress]: simplifying candidates 0.288 * [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)) 0.289 * * [simplify]: Extracting # 0 : cost 0 0.289 * * [simplify]: Extracting # 1 : cost 0 0.289 * * [simplify]: Extracting # 2 : cost 0 0.289 * * [simplify]: Extracting # 3 : cost 0 0.290 * * [simplify]: Extracting # 4 : cost 0 0.290 * * [simplify]: Extracting # 5 : cost 0 0.290 * * [simplify]: Extracting # 6 : cost 0 0.290 * * [simplify]: Extracting # 7 : cost 0 0.290 * * [simplify]: Extracting # 8 : cost 0 0.290 * * [simplify]: iteration 0 : 116 enodes (cost 808 ) 0.332 * * [simplify]: Extracting # 0 : cost 0 0.332 * * [simplify]: Extracting # 1 : cost 0 0.333 * * [simplify]: Extracting # 2 : cost 0 0.333 * * [simplify]: Extracting # 3 : cost 0 0.334 * * [simplify]: Extracting # 4 : cost 0 0.334 * * [simplify]: iteration 1 : 269 enodes (cost 678 ) 0.543 * * [simplify]: Extracting # 0 : cost 0 0.545 * * [simplify]: Extracting # 1 : cost 0 0.546 * * [simplify]: Extracting # 2 : cost 0 0.548 * * [simplify]: Extracting # 3 : cost 0 0.549 * * [simplify]: Extracting # 4 : cost 0 0.550 * * [simplify]: iteration 2 : 747 enodes (cost 566 ) 1.265 * * [simplify]: Extracting # 0 : cost 0 1.269 * * [simplify]: Extracting # 1 : cost 0 1.272 * * [simplify]: Extracting # 2 : cost 0 1.275 * * [simplify]: Extracting # 3 : cost 0 1.278 * * [simplify]: Extracting # 4 : cost 0 1.280 * * [simplify]: iteration 3 : 2669 enodes (cost 526 ) 2.520 * * [simplify]: Extracting # 0 : cost 0 2.527 * * [simplify]: Extracting # 1 : cost 0 2.534 * * [simplify]: Extracting # 2 : cost 0 2.545 * * [simplify]: iteration done: 5001 enodes (cost 517 ) 2.546 * [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))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (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) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (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))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (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 (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (fma 1/2 (* x x) (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 2.546 * * * [progress]: adding candidates to table 2.684 * * [progress]: iteration 2 / 4 2.684 * * * [progress]: picking best candidate 2.716 * * * * [pick]: Picked # 2.716 * * * [progress]: localizing error 2.739 * * * [progress]: generating rewritten candidates 2.739 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.740 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3) 2.741 * * * [progress]: generating series expansions 2.741 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.742 * [backup-simplify]: Simplify (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) into (fma (pow x 2) -1/24 (fma 1/720 (pow x 4) 1/2)) 2.742 * [approximate]: Taking taylor expansion of (fma (pow x 2) -1/24 (fma 1/720 (pow x 4) 1/2)) in (x) around 0 2.742 * [taylor]: Taking taylor expansion of (fma (pow x 2) -1/24 (fma 1/720 (pow x 4) 1/2)) in x 2.744 * [taylor]: Rewrote expression to (+ (* (pow x 2) -1/24) (fma 1/720 (pow x 4) 1/2)) 2.744 * [taylor]: Taking taylor expansion of (* (pow x 2) -1/24) in x 2.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of -1/24 in x 2.744 * [backup-simplify]: Simplify -1/24 into -1/24 2.744 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 2.744 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 2.744 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 2.744 * [taylor]: Taking taylor expansion of 1/720 in x 2.744 * [backup-simplify]: Simplify 1/720 into 1/720 2.744 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [taylor]: Taking taylor expansion of 1/2 in x 2.745 * [backup-simplify]: Simplify 1/2 into 1/2 2.745 * [taylor]: Taking taylor expansion of (fma (pow x 2) -1/24 (fma 1/720 (pow x 4) 1/2)) in x 2.745 * [taylor]: Rewrote expression to (+ (* (pow x 2) -1/24) (fma 1/720 (pow x 4) 1/2)) 2.745 * [taylor]: Taking taylor expansion of (* (pow x 2) -1/24) in x 2.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [taylor]: Taking taylor expansion of -1/24 in x 2.745 * [backup-simplify]: Simplify -1/24 into -1/24 2.745 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 2.745 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 2.745 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 2.745 * [taylor]: Taking taylor expansion of 1/720 in x 2.745 * [backup-simplify]: Simplify 1/720 into 1/720 2.745 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.746 * [taylor]: Taking taylor expansion of 1/2 in x 2.746 * [backup-simplify]: Simplify 1/2 into 1/2 2.746 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.747 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.747 * [backup-simplify]: Simplify 1/2 into 1/2 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.748 * [backup-simplify]: Simplify (+ 0 0) into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (* 1 1) into 1 2.749 * [backup-simplify]: Simplify (* 1 -1/24) into -1/24 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify (+ -1/24 0) into -1/24 2.749 * [backup-simplify]: Simplify -1/24 into -1/24 2.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/24)) into 0 2.751 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/24))) into 0 2.754 * [backup-simplify]: Simplify (* 1 1) into 1 2.755 * [backup-simplify]: Simplify (* 1 1) into 1 2.755 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.756 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.756 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.756 * [backup-simplify]: Simplify 1/720 into 1/720 2.757 * [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))) 2.757 * [backup-simplify]: Simplify (fma (* (/ 1 x) (/ 1 x)) -1/24 (fma 1/720 (pow (/ 1 x) 4) 1/2)) into (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ 1 x) 4) 1/2)) 2.757 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ 1 x) 4) 1/2)) in (x) around 0 2.757 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ 1 x) 4) 1/2)) in x 2.757 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) -1/24) (fma 1/720 (pow (/ 1 x) 4) 1/2)) 2.757 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) -1/24) in x 2.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.757 * [taylor]: Taking taylor expansion of x in x 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 1 into 1 2.758 * [backup-simplify]: Simplify (* 1 1) into 1 2.758 * [backup-simplify]: Simplify (/ 1 1) into 1 2.758 * [taylor]: Taking taylor expansion of -1/24 in x 2.758 * [backup-simplify]: Simplify -1/24 into -1/24 2.758 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 2.758 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 2.758 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 2.758 * [taylor]: Taking taylor expansion of 1/720 in x 2.758 * [backup-simplify]: Simplify 1/720 into 1/720 2.758 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 2.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [backup-simplify]: Simplify (/ 1 1) into 1 2.759 * [taylor]: Taking taylor expansion of 1/2 in x 2.759 * [backup-simplify]: Simplify 1/2 into 1/2 2.759 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ 1 x) 4) 1/2)) in x 2.759 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) -1/24) (fma 1/720 (pow (/ 1 x) 4) 1/2)) 2.759 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) -1/24) in x 2.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.760 * [backup-simplify]: Simplify (* 1 1) into 1 2.760 * [backup-simplify]: Simplify (/ 1 1) into 1 2.760 * [taylor]: Taking taylor expansion of -1/24 in x 2.760 * [backup-simplify]: Simplify -1/24 into -1/24 2.760 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 2.760 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 2.760 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 2.760 * [taylor]: Taking taylor expansion of 1/720 in x 2.760 * [backup-simplify]: Simplify 1/720 into 1/720 2.760 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 2.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.761 * [taylor]: Taking taylor expansion of x in x 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [taylor]: Taking taylor expansion of 1/2 in x 2.761 * [backup-simplify]: Simplify 1/2 into 1/2 2.761 * [backup-simplify]: Simplify (* 1 1) into 1 2.762 * [backup-simplify]: Simplify (* 1 1) into 1 2.762 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.763 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.763 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.763 * [backup-simplify]: Simplify 1/720 into 1/720 2.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.766 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 2.767 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (* 1 -1/24) into -1/24 2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.771 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 2.772 * [backup-simplify]: Simplify (+ 0 0) into 0 2.772 * [backup-simplify]: Simplify (+ -1/24 0) into -1/24 2.772 * [backup-simplify]: Simplify -1/24 into -1/24 2.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/24)) into 0 2.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.778 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (+ 0 0) into 0 2.779 * [backup-simplify]: Simplify (+ 0 0) into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/24))) into 0 2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.787 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.787 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.788 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.788 * [backup-simplify]: Simplify 1/2 into 1/2 2.788 * [backup-simplify]: Simplify (+ 1/2 (+ (* -1/24 (pow (/ 1 (/ 1 x)) 2)) (* 1/720 (pow (/ 1 (/ 1 x)) 4)))) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.789 * [backup-simplify]: Simplify (fma (* (/ 1 (- x)) (/ 1 (- x))) -1/24 (fma 1/720 (pow (/ 1 (- x)) 4) 1/2)) into (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ -1 x) 4) 1/2)) 2.789 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ -1 x) 4) 1/2)) in (x) around 0 2.789 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ -1 x) 4) 1/2)) in x 2.789 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) -1/24) (fma 1/720 (pow (/ -1 x) 4) 1/2)) 2.789 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) -1/24) in x 2.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.789 * [taylor]: Taking taylor expansion of x in x 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.790 * [backup-simplify]: Simplify (* 1 1) into 1 2.790 * [backup-simplify]: Simplify (/ 1 1) into 1 2.790 * [taylor]: Taking taylor expansion of -1/24 in x 2.790 * [backup-simplify]: Simplify -1/24 into -1/24 2.790 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 2.791 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 2.791 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 2.791 * [taylor]: Taking taylor expansion of 1/720 in x 2.791 * [backup-simplify]: Simplify 1/720 into 1/720 2.791 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 2.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.791 * [taylor]: Taking taylor expansion of -1 in x 2.791 * [backup-simplify]: Simplify -1 into -1 2.791 * [taylor]: Taking taylor expansion of x in x 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 1 into 1 2.791 * [backup-simplify]: Simplify (/ -1 1) into -1 2.791 * [taylor]: Taking taylor expansion of 1/2 in x 2.791 * [backup-simplify]: Simplify 1/2 into 1/2 2.791 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ -1 x) 4) 1/2)) in x 2.792 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) -1/24) (fma 1/720 (pow (/ -1 x) 4) 1/2)) 2.792 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) -1/24) in x 2.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.792 * [taylor]: Taking taylor expansion of x in x 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (* 1 1) into 1 2.793 * [backup-simplify]: Simplify (/ 1 1) into 1 2.793 * [taylor]: Taking taylor expansion of -1/24 in x 2.793 * [backup-simplify]: Simplify -1/24 into -1/24 2.793 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 2.793 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 2.793 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 2.793 * [taylor]: Taking taylor expansion of 1/720 in x 2.793 * [backup-simplify]: Simplify 1/720 into 1/720 2.793 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 2.793 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.793 * [taylor]: Taking taylor expansion of -1 in x 2.793 * [backup-simplify]: Simplify -1 into -1 2.793 * [taylor]: Taking taylor expansion of x in x 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.794 * [backup-simplify]: Simplify (/ -1 1) into -1 2.794 * [taylor]: Taking taylor expansion of 1/2 in x 2.794 * [backup-simplify]: Simplify 1/2 into 1/2 2.794 * [backup-simplify]: Simplify (* -1 -1) into 1 2.794 * [backup-simplify]: Simplify (* 1 1) into 1 2.795 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.795 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.796 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.796 * [backup-simplify]: Simplify 1/720 into 1/720 2.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.797 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.799 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 2.799 * [backup-simplify]: Simplify (+ 0 0) into 0 2.799 * [backup-simplify]: Simplify (+ 0 0) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (* 1 -1/24) into -1/24 2.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.804 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.805 * [backup-simplify]: Simplify (+ -1/24 0) into -1/24 2.805 * [backup-simplify]: Simplify -1/24 into -1/24 2.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/24)) into 0 2.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.811 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/24))) into 0 2.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.819 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.819 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.819 * [backup-simplify]: Simplify 1/2 into 1/2 2.820 * [backup-simplify]: Simplify (+ 1/2 (+ (* -1/24 (pow (/ 1 (/ 1 (- x))) 2)) (* 1/720 (pow (/ 1 (/ 1 (- x))) 4)))) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.820 * * * * [progress]: [ 2 / 2 ] generating series at (2 3) 2.820 * [backup-simplify]: Simplify (fma 1/720 (pow x 4) 1/2) into (fma 1/720 (pow x 4) 1/2) 2.820 * [approximate]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in (x) around 0 2.820 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 2.820 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 2.820 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 2.820 * [taylor]: Taking taylor expansion of 1/720 in x 2.820 * [backup-simplify]: Simplify 1/720 into 1/720 2.820 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.820 * [taylor]: Taking taylor expansion of x in x 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [taylor]: Taking taylor expansion of 1/2 in x 2.820 * [backup-simplify]: Simplify 1/2 into 1/2 2.820 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 2.820 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 2.820 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 2.820 * [taylor]: Taking taylor expansion of 1/720 in x 2.820 * [backup-simplify]: Simplify 1/720 into 1/720 2.820 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.820 * [taylor]: Taking taylor expansion of x in x 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [taylor]: Taking taylor expansion of 1/2 in x 2.821 * [backup-simplify]: Simplify 1/2 into 1/2 2.821 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.821 * [backup-simplify]: Simplify 1/2 into 1/2 2.821 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify (+ 0 0) into 0 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify (* 1 1) into 1 2.822 * [backup-simplify]: Simplify (* 1 1) into 1 2.822 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.823 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.823 * [backup-simplify]: Simplify 1/720 into 1/720 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.824 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 2.824 * [backup-simplify]: Simplify (+ 0 0) into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.826 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 2.826 * [backup-simplify]: Simplify (+ 0 0) into 0 2.826 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (+ 0 0) into 0 2.828 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.830 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.831 * [backup-simplify]: Simplify (+ 0 0) into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.833 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.836 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.836 * [backup-simplify]: Simplify (+ 0 0) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) 1/2) into (+ (* 1/720 (pow x 4)) 1/2) 2.837 * [backup-simplify]: Simplify (fma 1/720 (pow (/ 1 x) 4) 1/2) into (fma 1/720 (pow (/ 1 x) 4) 1/2) 2.837 * [approximate]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in (x) around 0 2.837 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 2.837 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 2.837 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 2.837 * [taylor]: Taking taylor expansion of 1/720 in x 2.837 * [backup-simplify]: Simplify 1/720 into 1/720 2.837 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 2.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.837 * [taylor]: Taking taylor expansion of x in x 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [taylor]: Taking taylor expansion of 1/2 in x 2.837 * [backup-simplify]: Simplify 1/2 into 1/2 2.837 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 2.837 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 2.837 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 2.837 * [taylor]: Taking taylor expansion of 1/720 in x 2.838 * [backup-simplify]: Simplify 1/720 into 1/720 2.838 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 2.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.838 * [taylor]: Taking taylor expansion of x in x 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.838 * [backup-simplify]: Simplify (/ 1 1) into 1 2.838 * [taylor]: Taking taylor expansion of 1/2 in x 2.838 * [backup-simplify]: Simplify 1/2 into 1/2 2.838 * [backup-simplify]: Simplify (* 1 1) into 1 2.838 * [backup-simplify]: Simplify (* 1 1) into 1 2.839 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.839 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.839 * [backup-simplify]: Simplify 1/720 into 1/720 2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.841 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 2.841 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 2.843 * [backup-simplify]: Simplify (+ 0 0) into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.857 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.857 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.857 * [backup-simplify]: Simplify 1/2 into 1/2 2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.860 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.860 * [backup-simplify]: Simplify (+ 0 0) into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.863 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.864 * [backup-simplify]: Simplify (+ 0 0) into 0 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.867 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.867 * [backup-simplify]: Simplify (+ 0 0) into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.871 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.871 * [backup-simplify]: Simplify (+ 0 0) into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.875 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.876 * [backup-simplify]: Simplify (+ 0 0) into 0 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 2.881 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 2.881 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (+ 1/2 (* 1/720 (pow (/ 1 (/ 1 x)) 4))) into (+ (* 1/720 (pow x 4)) 1/2) 2.882 * [backup-simplify]: Simplify (fma 1/720 (pow (/ 1 (- x)) 4) 1/2) into (fma 1/720 (pow (/ -1 x) 4) 1/2) 2.882 * [approximate]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in (x) around 0 2.882 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 2.882 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 2.882 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 2.882 * [taylor]: Taking taylor expansion of 1/720 in x 2.882 * [backup-simplify]: Simplify 1/720 into 1/720 2.882 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 2.882 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.882 * [taylor]: Taking taylor expansion of -1 in x 2.882 * [backup-simplify]: Simplify -1 into -1 2.882 * [taylor]: Taking taylor expansion of x in x 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (/ -1 1) into -1 2.882 * [taylor]: Taking taylor expansion of 1/2 in x 2.882 * [backup-simplify]: Simplify 1/2 into 1/2 2.882 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 2.883 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 2.883 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 2.883 * [taylor]: Taking taylor expansion of 1/720 in x 2.883 * [backup-simplify]: Simplify 1/720 into 1/720 2.883 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 2.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.883 * [taylor]: Taking taylor expansion of -1 in x 2.883 * [backup-simplify]: Simplify -1 into -1 2.883 * [taylor]: Taking taylor expansion of x in x 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [backup-simplify]: Simplify (/ -1 1) into -1 2.883 * [taylor]: Taking taylor expansion of 1/2 in x 2.883 * [backup-simplify]: Simplify 1/2 into 1/2 2.883 * [backup-simplify]: Simplify (* -1 -1) into 1 2.884 * [backup-simplify]: Simplify (* 1 1) into 1 2.884 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.884 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.884 * [backup-simplify]: Simplify 1/720 into 1/720 2.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.886 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 2.886 * [backup-simplify]: Simplify (+ 0 0) into 0 2.886 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.888 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 2.889 * [backup-simplify]: Simplify (+ 0 0) into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (+ 0 0) into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.895 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.895 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.895 * [backup-simplify]: Simplify 1/2 into 1/2 2.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 2.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.898 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.898 * [backup-simplify]: Simplify (+ 0 0) into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.902 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 2.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.905 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.906 * [backup-simplify]: Simplify (+ 0 0) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.910 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.911 * [backup-simplify]: Simplify (+ 0 0) into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))))) into 0 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.915 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))))) into 0 2.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 2.920 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify (+ 1/2 (* 1/720 (pow (/ 1 (/ 1 (- x))) 4))) into (+ (* 1/720 (pow x 4)) 1/2) 2.921 * * * [progress]: simplifying candidates 2.921 * [simplify]: Simplifying: (expm1 (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (log1p (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (* (* x x) -1/24) (log (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (exp (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (* (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)))) (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (* (* (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (sqrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (sqrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (expm1 (fma 1/720 (pow x 4) 1/2)) (log1p (fma 1/720 (pow x 4) 1/2)) (* 1/720 (pow x 4)) (log (fma 1/720 (pow x 4) 1/2)) (exp (fma 1/720 (pow x 4) 1/2)) (* (cbrt (fma 1/720 (pow x 4) 1/2)) (cbrt (fma 1/720 (pow x 4) 1/2))) (cbrt (fma 1/720 (pow x 4) 1/2)) (* (* (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2)) (fma 1/720 (pow x 4) 1/2)) (sqrt (fma 1/720 (pow x 4) 1/2)) (sqrt (fma 1/720 (pow x 4) 1/2)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) 2.922 * * [simplify]: Extracting # 0 : cost 0 2.922 * * [simplify]: Extracting # 1 : cost 0 2.922 * * [simplify]: Extracting # 2 : cost 0 2.923 * * [simplify]: Extracting # 3 : cost 0 2.923 * * [simplify]: Extracting # 4 : cost 0 2.923 * * [simplify]: Extracting # 5 : cost 0 2.923 * * [simplify]: iteration 0 : 35 enodes (cost 298 ) 2.930 * * [simplify]: Extracting # 0 : cost 0 2.930 * * [simplify]: Extracting # 1 : cost 0 2.930 * * [simplify]: Extracting # 2 : cost 0 2.930 * * [simplify]: Extracting # 3 : cost 0 2.931 * * [simplify]: Extracting # 4 : cost 0 2.931 * * [simplify]: iteration 1 : 55 enodes (cost 292 ) 2.950 * * [simplify]: Extracting # 0 : cost 0 2.951 * * [simplify]: Extracting # 1 : cost 0 2.951 * * [simplify]: Extracting # 2 : cost 0 2.951 * * [simplify]: Extracting # 3 : cost 0 2.951 * * [simplify]: iteration 2 : 140 enodes (cost 255 ) 3.021 * * [simplify]: Extracting # 0 : cost 0 3.022 * * [simplify]: Extracting # 1 : cost 0 3.023 * * [simplify]: Extracting # 2 : cost 0 3.024 * * [simplify]: Extracting # 3 : cost 0 3.024 * * [simplify]: iteration 3 : 556 enodes (cost 255 ) 3.932 * * [simplify]: Extracting # 0 : cost 0 3.935 * * [simplify]: Extracting # 1 : cost 0 3.939 * * [simplify]: Extracting # 2 : cost 0 3.941 * * [simplify]: Extracting # 3 : cost 0 3.944 * * [simplify]: Extracting # 4 : cost 0 3.949 * * [simplify]: Extracting # 5 : cost 0 3.959 * * [simplify]: iteration 4 : 3220 enodes (cost 255 ) 5.297 * * [simplify]: Extracting # 0 : cost 0 5.304 * * [simplify]: Extracting # 1 : cost 0 5.313 * * [simplify]: Extracting # 2 : cost 0 5.323 * * [simplify]: iteration done: 5000 enodes (cost 255 ) 5.324 * [simplify]: Simplified to: (expm1 (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (log1p (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (* (* x x) -1/24) (log (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (exp (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (* (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)))) (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (pow (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) 3) (sqrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (sqrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (expm1 (fma 1/720 (pow x 4) 1/2)) (log1p (fma 1/720 (pow x 4) 1/2)) (* 1/720 (pow x 4)) (log (fma 1/720 (pow x 4) 1/2)) (exp (fma 1/720 (pow x 4) 1/2)) (* (cbrt (fma 1/720 (pow x 4) 1/2)) (cbrt (fma 1/720 (pow x 4) 1/2))) (cbrt (fma 1/720 (pow x 4) 1/2)) (pow (fma 1/720 (pow x 4) 1/2) 3) (sqrt (fma 1/720 (pow x 4) 1/2)) (sqrt (fma 1/720 (pow x 4) 1/2)) (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2) 5.324 * * * [progress]: adding candidates to table 5.450 * * [progress]: iteration 3 / 4 5.450 * * * [progress]: picking best candidate 5.481 * * * * [pick]: Picked # 5.482 * * * [progress]: localizing error 5.496 * * * [progress]: generating rewritten candidates 5.496 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 5.510 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 5.547 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 5.603 * * * [progress]: generating series expansions 5.603 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 5.603 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 5.603 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.603 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.603 * [taylor]: Taking taylor expansion of 1.0 in x 5.603 * [backup-simplify]: Simplify 1.0 into 1.0 5.603 * [taylor]: Taking taylor expansion of (cos x) in x 5.603 * [taylor]: Taking taylor expansion of x in x 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.603 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.603 * [taylor]: Taking taylor expansion of 1.0 in x 5.603 * [backup-simplify]: Simplify 1.0 into 1.0 5.603 * [taylor]: Taking taylor expansion of (cos x) in x 5.603 * [taylor]: Taking taylor expansion of x in x 5.603 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (- 1) into -1 5.604 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.604 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify (+ 0) into 0 5.605 * [backup-simplify]: Simplify (- 0) into 0 5.605 * [backup-simplify]: Simplify (+ 0 0) into 0 5.605 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.606 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.606 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.606 * [backup-simplify]: Simplify 1/2 into 1/2 5.607 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.608 * [backup-simplify]: Simplify (- 0) into 0 5.608 * [backup-simplify]: Simplify (+ 0 0) into 0 5.608 * [backup-simplify]: Simplify 0 into 0 5.611 * [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 5.612 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.612 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.612 * [backup-simplify]: Simplify -1/24 into -1/24 5.613 * [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 5.614 * [backup-simplify]: Simplify (- 0) into 0 5.614 * [backup-simplify]: Simplify (+ 0 0) into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.617 * [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 5.618 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.618 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.618 * [backup-simplify]: Simplify 1/720 into 1/720 5.618 * [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))) 5.618 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.619 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.619 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.619 * [taylor]: Taking taylor expansion of 1.0 in x 5.619 * [backup-simplify]: Simplify 1.0 into 1.0 5.619 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.619 * [taylor]: Taking taylor expansion of x in x 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify 1 into 1 5.619 * [backup-simplify]: Simplify (/ 1 1) into 1 5.619 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.619 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.619 * [taylor]: Taking taylor expansion of 1.0 in x 5.619 * [backup-simplify]: Simplify 1.0 into 1.0 5.619 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.619 * [taylor]: Taking taylor expansion of x in x 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify 1 into 1 5.619 * [backup-simplify]: Simplify (/ 1 1) into 1 5.619 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.620 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.620 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.620 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.620 * [backup-simplify]: Simplify (- 0) into 0 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.620 * [backup-simplify]: Simplify 0 into 0 5.620 * [backup-simplify]: Simplify (- 0) into 0 5.621 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify (- 0) into 0 5.621 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify (- 0) into 0 5.622 * [backup-simplify]: Simplify (+ 0 0) into 0 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify (- 0) into 0 5.622 * [backup-simplify]: Simplify (+ 0 0) into 0 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify (- 0) into 0 5.623 * [backup-simplify]: Simplify (+ 0 0) into 0 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 5.623 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 5.623 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.623 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.623 * [taylor]: Taking taylor expansion of 1.0 in x 5.623 * [backup-simplify]: Simplify 1.0 into 1.0 5.623 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.623 * [taylor]: Taking taylor expansion of -1 in x 5.623 * [backup-simplify]: Simplify -1 into -1 5.623 * [taylor]: Taking taylor expansion of x in x 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify 1 into 1 5.623 * [backup-simplify]: Simplify (/ -1 1) into -1 5.623 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.623 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.623 * [taylor]: Taking taylor expansion of 1.0 in x 5.623 * [backup-simplify]: Simplify 1.0 into 1.0 5.623 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.623 * [taylor]: Taking taylor expansion of -1 in x 5.624 * [backup-simplify]: Simplify -1 into -1 5.624 * [taylor]: Taking taylor expansion of x in x 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (/ -1 1) into -1 5.624 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.624 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.624 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.624 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.624 * [backup-simplify]: Simplify (- 0) into 0 5.625 * [backup-simplify]: Simplify (+ 0 0) into 0 5.625 * [backup-simplify]: Simplify 0 into 0 5.625 * [backup-simplify]: Simplify (- 0) into 0 5.625 * [backup-simplify]: Simplify (+ 0 0) into 0 5.625 * [backup-simplify]: Simplify 0 into 0 5.625 * [backup-simplify]: Simplify (- 0) into 0 5.626 * [backup-simplify]: Simplify (+ 0 0) into 0 5.626 * [backup-simplify]: Simplify 0 into 0 5.626 * [backup-simplify]: Simplify (- 0) into 0 5.626 * [backup-simplify]: Simplify (+ 0 0) into 0 5.626 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify (- 0) into 0 5.627 * [backup-simplify]: Simplify (+ 0 0) into 0 5.627 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify (- 0) into 0 5.627 * [backup-simplify]: Simplify (+ 0 0) into 0 5.627 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 5.628 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 5.628 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 5.628 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 5.628 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 5.628 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.628 * [taylor]: Taking taylor expansion of 1.0 in x 5.628 * [backup-simplify]: Simplify 1.0 into 1.0 5.628 * [taylor]: Taking taylor expansion of (cos x) in x 5.628 * [taylor]: Taking taylor expansion of x in x 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify 1 into 1 5.628 * [taylor]: Taking taylor expansion of x in x 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify 1 into 1 5.628 * [backup-simplify]: Simplify (- 1) into -1 5.628 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.629 * [backup-simplify]: Simplify (+ 0) into 0 5.629 * [backup-simplify]: Simplify (- 0) into 0 5.629 * [backup-simplify]: Simplify (+ 0 0) into 0 5.630 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.630 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.630 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.631 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.631 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 5.631 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.631 * [taylor]: Taking taylor expansion of 1.0 in x 5.631 * [backup-simplify]: Simplify 1.0 into 1.0 5.631 * [taylor]: Taking taylor expansion of (cos x) in x 5.631 * [taylor]: Taking taylor expansion of x in x 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify 1 into 1 5.631 * [taylor]: Taking taylor expansion of x in x 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify 1 into 1 5.631 * [backup-simplify]: Simplify (- 1) into -1 5.631 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.631 * [backup-simplify]: Simplify (+ 0) into 0 5.632 * [backup-simplify]: Simplify (- 0) into 0 5.632 * [backup-simplify]: Simplify (+ 0 0) into 0 5.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.633 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.633 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.633 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.633 * [backup-simplify]: Simplify 1/2 into 1/2 5.634 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.634 * [backup-simplify]: Simplify (- 0) into 0 5.635 * [backup-simplify]: Simplify (+ 0 0) into 0 5.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.635 * [backup-simplify]: Simplify 0 into 0 5.637 * [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 5.637 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.637 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.638 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.638 * [backup-simplify]: Simplify -1/24 into -1/24 5.639 * [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 5.640 * [backup-simplify]: Simplify (- 0) into 0 5.640 * [backup-simplify]: Simplify (+ 0 0) into 0 5.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.641 * [backup-simplify]: Simplify 0 into 0 5.643 * [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 5.644 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.644 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.645 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.645 * [backup-simplify]: Simplify 1/720 into 1/720 5.645 * [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))) 5.645 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 5.645 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 5.645 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 5.645 * [taylor]: Taking taylor expansion of x in x 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 1 into 1 5.645 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.645 * [taylor]: Taking taylor expansion of 1.0 in x 5.645 * [backup-simplify]: Simplify 1.0 into 1.0 5.645 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.645 * [taylor]: Taking taylor expansion of x in x 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 1 into 1 5.646 * [backup-simplify]: Simplify (/ 1 1) into 1 5.646 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.646 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 5.646 * [taylor]: Taking taylor expansion of x in x 5.646 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify 1 into 1 5.646 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.646 * [taylor]: Taking taylor expansion of 1.0 in x 5.646 * [backup-simplify]: Simplify 1.0 into 1.0 5.646 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.646 * [taylor]: Taking taylor expansion of x in x 5.646 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify 1 into 1 5.646 * [backup-simplify]: Simplify (/ 1 1) into 1 5.646 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.646 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.647 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.647 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify (- 0) into 0 5.647 * [backup-simplify]: Simplify (+ 0 0) into 0 5.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 5.647 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.648 * [backup-simplify]: Simplify (- 0) into 0 5.648 * [backup-simplify]: Simplify (+ 0 0) into 0 5.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify (- 0) into 0 5.649 * [backup-simplify]: Simplify (+ 0 0) into 0 5.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify (- 0) into 0 5.650 * [backup-simplify]: Simplify (+ 0 0) into 0 5.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify (- 0) into 0 5.652 * [backup-simplify]: Simplify (+ 0 0) into 0 5.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify (- 0) into 0 5.653 * [backup-simplify]: Simplify (+ 0 0) into 0 5.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify (- 0) into 0 5.655 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [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 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 5.657 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 5.657 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 5.657 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 5.657 * [taylor]: Taking taylor expansion of -1 in x 5.657 * [backup-simplify]: Simplify -1 into -1 5.657 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 5.657 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.657 * [taylor]: Taking taylor expansion of 1.0 in x 5.657 * [backup-simplify]: Simplify 1.0 into 1.0 5.657 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.657 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.657 * [taylor]: Taking taylor expansion of -1 in x 5.657 * [backup-simplify]: Simplify -1 into -1 5.657 * [taylor]: Taking taylor expansion of x in x 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify 1 into 1 5.658 * [backup-simplify]: Simplify (/ -1 1) into -1 5.658 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.658 * [taylor]: Taking taylor expansion of x in x 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 1 into 1 5.658 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 5.658 * [taylor]: Taking taylor expansion of -1 in x 5.658 * [backup-simplify]: Simplify -1 into -1 5.658 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 5.658 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.658 * [taylor]: Taking taylor expansion of 1.0 in x 5.658 * [backup-simplify]: Simplify 1.0 into 1.0 5.658 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.658 * [taylor]: Taking taylor expansion of -1 in x 5.658 * [backup-simplify]: Simplify -1 into -1 5.658 * [taylor]: Taking taylor expansion of x in x 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 1 into 1 5.658 * [backup-simplify]: Simplify (/ -1 1) into -1 5.658 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.658 * [taylor]: Taking taylor expansion of x in x 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 1 into 1 5.659 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.659 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.659 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 5.659 * [backup-simplify]: Simplify (* -1 0) into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify (- 0) into 0 5.659 * [backup-simplify]: Simplify (+ 0 0) into 0 5.660 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 5.660 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 5.660 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 5.660 * [backup-simplify]: Simplify (- 0) into 0 5.661 * [backup-simplify]: Simplify (+ 0 0) into 0 5.661 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 5.662 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 5.662 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify (- 0) into 0 5.662 * [backup-simplify]: Simplify (+ 0 0) into 0 5.663 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.663 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 5.663 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify (- 0) into 0 5.664 * [backup-simplify]: Simplify (+ 0 0) into 0 5.665 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.666 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify (- 0) into 0 5.666 * [backup-simplify]: Simplify (+ 0 0) into 0 5.667 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.669 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 5.669 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify (- 0) into 0 5.670 * [backup-simplify]: Simplify (+ 0 0) into 0 5.671 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.674 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify (- 0) into 0 5.675 * [backup-simplify]: Simplify (+ 0 0) into 0 5.676 * [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 5.679 * [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 5.679 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 5.679 * * * * [progress]: [ 3 / 3 ] generating series at (2) 5.680 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos x)) x) x) into (/ (- 1.0 (cos x)) (pow x 2)) 5.680 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 5.680 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 5.680 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.680 * [taylor]: Taking taylor expansion of 1.0 in x 5.680 * [backup-simplify]: Simplify 1.0 into 1.0 5.680 * [taylor]: Taking taylor expansion of (cos x) in x 5.680 * [taylor]: Taking taylor expansion of x in x 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 1 into 1 5.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.680 * [taylor]: Taking taylor expansion of x in x 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 1 into 1 5.680 * [backup-simplify]: Simplify (- 1) into -1 5.681 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.681 * [backup-simplify]: Simplify (+ 0) into 0 5.682 * [backup-simplify]: Simplify (- 0) into 0 5.682 * [backup-simplify]: Simplify (+ 0 0) into 0 5.683 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.683 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.684 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.684 * [backup-simplify]: Simplify (* 1 1) into 1 5.685 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.685 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 5.685 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.685 * [taylor]: Taking taylor expansion of 1.0 in x 5.685 * [backup-simplify]: Simplify 1.0 into 1.0 5.685 * [taylor]: Taking taylor expansion of (cos x) in x 5.685 * [taylor]: Taking taylor expansion of x in x 5.685 * [backup-simplify]: Simplify 0 into 0 5.685 * [backup-simplify]: Simplify 1 into 1 5.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.685 * [taylor]: Taking taylor expansion of x in x 5.685 * [backup-simplify]: Simplify 0 into 0 5.685 * [backup-simplify]: Simplify 1 into 1 5.685 * [backup-simplify]: Simplify (- 1) into -1 5.686 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.686 * [backup-simplify]: Simplify (+ 0) into 0 5.687 * [backup-simplify]: Simplify (- 0) into 0 5.687 * [backup-simplify]: Simplify (+ 0 0) into 0 5.688 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.688 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.689 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.689 * [backup-simplify]: Simplify (* 1 1) into 1 5.689 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.690 * [backup-simplify]: Simplify 1/2 into 1/2 5.691 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.691 * [backup-simplify]: Simplify (- 0) into 0 5.692 * [backup-simplify]: Simplify (+ 0 0) into 0 5.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.693 * [backup-simplify]: Simplify 0 into 0 5.696 * [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 5.697 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.697 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.700 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.700 * [backup-simplify]: Simplify -1/24 into -1/24 5.704 * [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 5.704 * [backup-simplify]: Simplify (- 0) into 0 5.705 * [backup-simplify]: Simplify (+ 0 0) into 0 5.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.723 * [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 5.724 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.724 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.727 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.727 * [backup-simplify]: Simplify 1/720 into 1/720 5.728 * [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))) 5.728 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x)) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 5.728 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 5.728 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 5.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.728 * [taylor]: Taking taylor expansion of x in x 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.728 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.728 * [taylor]: Taking taylor expansion of 1.0 in x 5.728 * [backup-simplify]: Simplify 1.0 into 1.0 5.728 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.728 * [taylor]: Taking taylor expansion of x in x 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (/ 1 1) into 1 5.729 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.729 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 5.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.729 * [taylor]: Taking taylor expansion of x in x 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 1 into 1 5.729 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.729 * [taylor]: Taking taylor expansion of 1.0 in x 5.729 * [backup-simplify]: Simplify 1.0 into 1.0 5.729 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.729 * [taylor]: Taking taylor expansion of x in x 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 1 into 1 5.730 * [backup-simplify]: Simplify (/ 1 1) into 1 5.730 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.730 * [backup-simplify]: Simplify (* 1 1) into 1 5.730 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.731 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.731 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.731 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.731 * [backup-simplify]: Simplify (- 0) into 0 5.732 * [backup-simplify]: Simplify (+ 0 0) into 0 5.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify (- 0) into 0 5.733 * [backup-simplify]: Simplify (+ 0 0) into 0 5.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 5.735 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify (- 0) into 0 5.736 * [backup-simplify]: Simplify (+ 0 0) into 0 5.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 5.739 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify (- 0) into 0 5.739 * [backup-simplify]: Simplify (+ 0 0) into 0 5.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 5.742 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify (- 0) into 0 5.743 * [backup-simplify]: Simplify (+ 0 0) into 0 5.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 5.746 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify (- 0) into 0 5.747 * [backup-simplify]: Simplify (+ 0 0) into 0 5.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 5.751 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 5.751 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 5.751 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 5.752 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.752 * [taylor]: Taking taylor expansion of 1.0 in x 5.752 * [backup-simplify]: Simplify 1.0 into 1.0 5.752 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.752 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.752 * [taylor]: Taking taylor expansion of -1 in x 5.752 * [backup-simplify]: Simplify -1 into -1 5.752 * [taylor]: Taking taylor expansion of x in x 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 1 into 1 5.752 * [backup-simplify]: Simplify (/ -1 1) into -1 5.752 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.752 * [taylor]: Taking taylor expansion of x in x 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 1 into 1 5.752 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 5.752 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.753 * [taylor]: Taking taylor expansion of 1.0 in x 5.753 * [backup-simplify]: Simplify 1.0 into 1.0 5.753 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.753 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.753 * [taylor]: Taking taylor expansion of -1 in x 5.753 * [backup-simplify]: Simplify -1 into -1 5.753 * [taylor]: Taking taylor expansion of x in x 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 1 into 1 5.753 * [backup-simplify]: Simplify (/ -1 1) into -1 5.753 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.753 * [taylor]: Taking taylor expansion of x in x 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 1 into 1 5.754 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.754 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.754 * [backup-simplify]: Simplify (* 1 1) into 1 5.754 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 5.754 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.755 * [backup-simplify]: Simplify (- 0) into 0 5.756 * [backup-simplify]: Simplify (+ 0 0) into 0 5.756 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.758 * [backup-simplify]: Simplify (- 0) into 0 5.758 * [backup-simplify]: Simplify (+ 0 0) into 0 5.759 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 5.759 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.760 * [backup-simplify]: Simplify (- 0) into 0 5.760 * [backup-simplify]: Simplify (+ 0 0) into 0 5.761 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.761 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.763 * [backup-simplify]: Simplify (- 0) into 0 5.763 * [backup-simplify]: Simplify (+ 0 0) into 0 5.764 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.764 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.766 * [backup-simplify]: Simplify (- 0) into 0 5.766 * [backup-simplify]: Simplify (+ 0 0) into 0 5.768 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.768 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.770 * [backup-simplify]: Simplify (- 0) into 0 5.770 * [backup-simplify]: Simplify (+ 0 0) into 0 5.771 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.771 * [backup-simplify]: Simplify 0 into 0 5.772 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 5.772 * * * [progress]: simplifying candidates 5.777 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt 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(/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (expm1 (/ (/ (- 1.0 (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)) x)) (log 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)) (* (* 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) 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x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) 1) (/ 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 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)) 5.785 * * [simplify]: Extracting # 0 : cost 0 5.785 * * [simplify]: Extracting # 1 : cost 0 5.786 * * [simplify]: Extracting # 2 : cost 0 5.787 * * [simplify]: Extracting # 3 : cost 0 5.787 * * [simplify]: Extracting # 4 : cost 0 5.788 * * [simplify]: Extracting # 5 : cost 0 5.789 * * [simplify]: Extracting # 6 : cost 0 5.789 * * [simplify]: Extracting # 7 : cost 0 5.790 * * [simplify]: Extracting # 8 : cost 0 5.791 * * [simplify]: iteration 0 : 259 enodes (cost 2577 ) 5.916 * * [simplify]: Extracting # 0 : cost 0 5.917 * * [simplify]: Extracting # 1 : cost 0 5.919 * * [simplify]: Extracting # 2 : cost 0 5.920 * * [simplify]: Extracting # 3 : cost 0 5.922 * * [simplify]: Extracting # 4 : cost 0 5.923 * * [simplify]: iteration 1 : 583 enodes (cost 2358 ) 6.272 * * [simplify]: Extracting # 0 : cost 0 6.275 * * [simplify]: Extracting # 1 : cost 0 6.279 * * [simplify]: Extracting # 2 : cost 0 6.282 * * [simplify]: Extracting # 3 : cost 0 6.284 * * [simplify]: Extracting # 4 : cost 0 6.287 * * [simplify]: iteration 2 : 1462 enodes (cost 2183 ) 7.427 * * [simplify]: Extracting # 0 : cost 0 7.447 * * [simplify]: Extracting # 1 : cost 0 7.456 * * [simplify]: Extracting # 2 : cost 0 7.465 * * [simplify]: Extracting # 3 : cost 0 7.474 * * [simplify]: Extracting # 4 : cost 0 7.482 * * [simplify]: iteration 3 : 4765 enodes (cost 2121 ) 8.958 * * [simplify]: Extracting # 0 : cost 0 8.963 * * [simplify]: Extracting # 1 : cost 0 8.981 * * [simplify]: iteration done: 5000 enodes (cost 2121 ) 8.983 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (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))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (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)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) 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(cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (sqrt (- 1.0 (cos x))) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ 1 (* (pow (cbrt x) 3) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (pow (cbrt x) 3)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ 1 (* (pow (cbrt x) 3) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) 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)) (pow x 2) (pow x 2) (fma (* x x) 1/2 (fma (pow x 6) 1/720 (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma x 1/2 (fma 1/720 (pow x 5) (* (pow x 3) -1/24))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (fma (pow x 2) -1/24 (fma 1/720 (pow x 4) 1/2)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) 8.985 * * * [progress]: adding candidates to table 9.452 * * [progress]: iteration 4 / 4 9.452 * * * [progress]: picking best candidate 9.483 * * * * [pick]: Picked # 9.483 * * * [progress]: localizing error 9.498 * * * [progress]: generating rewritten candidates 9.498 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1) 9.506 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 9.516 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 9.584 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 9.660 * * * [progress]: generating series expansions 9.660 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1) 9.660 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 9.660 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 9.660 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 9.660 * [taylor]: Taking taylor expansion of 1.0 in x 9.660 * [backup-simplify]: Simplify 1.0 into 1.0 9.660 * [taylor]: Taking taylor expansion of (cos x) in x 9.660 * [taylor]: Taking taylor expansion of x in x 9.660 * [backup-simplify]: Simplify 0 into 0 9.661 * [backup-simplify]: Simplify 1 into 1 9.661 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 9.661 * [taylor]: Taking taylor expansion of 1.0 in x 9.661 * [backup-simplify]: Simplify 1.0 into 1.0 9.661 * [taylor]: Taking taylor expansion of (cos x) in x 9.661 * [taylor]: Taking taylor expansion of x in x 9.661 * [backup-simplify]: Simplify 0 into 0 9.661 * [backup-simplify]: Simplify 1 into 1 9.661 * [backup-simplify]: Simplify (- 1) into -1 9.662 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify (+ 0) into 0 9.663 * [backup-simplify]: Simplify (- 0) into 0 9.663 * [backup-simplify]: Simplify (+ 0 0) into 0 9.663 * [backup-simplify]: Simplify 0 into 0 9.664 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.664 * [backup-simplify]: Simplify (- -1/2) into 1/2 9.665 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.665 * [backup-simplify]: Simplify 1/2 into 1/2 9.666 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.666 * [backup-simplify]: Simplify (- 0) into 0 9.667 * [backup-simplify]: Simplify (+ 0 0) into 0 9.667 * [backup-simplify]: Simplify 0 into 0 9.670 * [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 9.670 * [backup-simplify]: Simplify (- 1/24) into -1/24 9.671 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 9.671 * [backup-simplify]: Simplify -1/24 into -1/24 9.673 * [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 9.673 * [backup-simplify]: Simplify (- 0) into 0 9.674 * [backup-simplify]: Simplify (+ 0 0) into 0 9.674 * [backup-simplify]: Simplify 0 into 0 9.679 * [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 9.679 * [backup-simplify]: Simplify (- -1/720) into 1/720 9.680 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 9.680 * [backup-simplify]: Simplify 1/720 into 1/720 9.680 * [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))) 9.681 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 9.681 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 9.681 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 9.681 * [taylor]: Taking taylor expansion of 1.0 in x 9.681 * [backup-simplify]: Simplify 1.0 into 1.0 9.681 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.681 * [taylor]: Taking taylor expansion of x in x 9.681 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify 1 into 1 9.681 * [backup-simplify]: Simplify (/ 1 1) into 1 9.681 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.681 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 9.681 * [taylor]: Taking taylor expansion of 1.0 in x 9.681 * [backup-simplify]: Simplify 1.0 into 1.0 9.681 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.682 * [taylor]: Taking taylor expansion of x in x 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 1 into 1 9.682 * [backup-simplify]: Simplify (/ 1 1) into 1 9.682 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.682 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 9.682 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 9.682 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 9.683 * [backup-simplify]: Simplify (- 0) into 0 9.683 * [backup-simplify]: Simplify (+ 0 0) into 0 9.683 * [backup-simplify]: Simplify 0 into 0 9.684 * [backup-simplify]: Simplify (- 0) into 0 9.684 * [backup-simplify]: Simplify (+ 0 0) into 0 9.684 * [backup-simplify]: Simplify 0 into 0 9.684 * [backup-simplify]: Simplify (- 0) into 0 9.685 * [backup-simplify]: Simplify (+ 0 0) into 0 9.685 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify (- 0) into 0 9.686 * [backup-simplify]: Simplify (+ 0 0) into 0 9.686 * [backup-simplify]: Simplify 0 into 0 9.686 * [backup-simplify]: Simplify (- 0) into 0 9.686 * [backup-simplify]: Simplify (+ 0 0) into 0 9.686 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify (- 0) into 0 9.687 * [backup-simplify]: Simplify (+ 0 0) into 0 9.687 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 9.688 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 9.688 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 9.688 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 9.688 * [taylor]: Taking taylor expansion of 1.0 in x 9.688 * [backup-simplify]: Simplify 1.0 into 1.0 9.688 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.688 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.688 * [taylor]: Taking taylor expansion of -1 in x 9.688 * [backup-simplify]: Simplify -1 into -1 9.688 * [taylor]: Taking taylor expansion of x in x 9.688 * [backup-simplify]: Simplify 0 into 0 9.688 * [backup-simplify]: Simplify 1 into 1 9.688 * [backup-simplify]: Simplify (/ -1 1) into -1 9.688 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.688 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 9.688 * [taylor]: Taking taylor expansion of 1.0 in x 9.689 * [backup-simplify]: Simplify 1.0 into 1.0 9.689 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.689 * [taylor]: Taking taylor expansion of -1 in x 9.689 * [backup-simplify]: Simplify -1 into -1 9.689 * [taylor]: Taking taylor expansion of x in x 9.689 * [backup-simplify]: Simplify 0 into 0 9.689 * [backup-simplify]: Simplify 1 into 1 9.689 * [backup-simplify]: Simplify (/ -1 1) into -1 9.689 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.689 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 9.690 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 9.690 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 9.690 * [backup-simplify]: Simplify (- 0) into 0 9.691 * [backup-simplify]: Simplify (+ 0 0) into 0 9.691 * [backup-simplify]: Simplify 0 into 0 9.691 * [backup-simplify]: Simplify (- 0) into 0 9.692 * [backup-simplify]: Simplify (+ 0 0) into 0 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify (- 0) into 0 9.693 * [backup-simplify]: Simplify (+ 0 0) into 0 9.693 * [backup-simplify]: Simplify 0 into 0 9.693 * [backup-simplify]: Simplify (- 0) into 0 9.694 * [backup-simplify]: Simplify (+ 0 0) into 0 9.694 * [backup-simplify]: Simplify 0 into 0 9.694 * [backup-simplify]: Simplify (- 0) into 0 9.694 * [backup-simplify]: Simplify (+ 0 0) into 0 9.694 * [backup-simplify]: Simplify 0 into 0 9.695 * [backup-simplify]: Simplify (- 0) into 0 9.695 * [backup-simplify]: Simplify (+ 0 0) into 0 9.695 * [backup-simplify]: Simplify 0 into 0 9.695 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 9.695 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 9.696 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 9.696 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 9.696 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 9.696 * [taylor]: Taking taylor expansion of 1.0 in x 9.696 * [backup-simplify]: Simplify 1.0 into 1.0 9.696 * [taylor]: Taking taylor expansion of (cos x) in x 9.696 * [taylor]: Taking taylor expansion of x in x 9.696 * [backup-simplify]: Simplify 0 into 0 9.696 * [backup-simplify]: Simplify 1 into 1 9.696 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 9.696 * [taylor]: Taking taylor expansion of 1.0 in x 9.696 * [backup-simplify]: Simplify 1.0 into 1.0 9.696 * [taylor]: Taking taylor expansion of (cos x) in x 9.696 * [taylor]: Taking taylor expansion of x in x 9.696 * [backup-simplify]: Simplify 0 into 0 9.696 * [backup-simplify]: Simplify 1 into 1 9.696 * [backup-simplify]: Simplify (- 1) into -1 9.697 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 9.697 * [backup-simplify]: Simplify 0 into 0 9.697 * [backup-simplify]: Simplify (+ 0) into 0 9.698 * [backup-simplify]: Simplify (- 0) into 0 9.698 * [backup-simplify]: Simplify (+ 0 0) into 0 9.698 * [backup-simplify]: Simplify 0 into 0 9.699 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.700 * [backup-simplify]: Simplify (- -1/2) into 1/2 9.700 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.700 * [backup-simplify]: Simplify 1/2 into 1/2 9.702 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.702 * [backup-simplify]: Simplify (- 0) into 0 9.702 * [backup-simplify]: Simplify (+ 0 0) into 0 9.702 * [backup-simplify]: Simplify 0 into 0 9.714 * [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 9.715 * [backup-simplify]: Simplify (- 1/24) into -1/24 9.715 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 9.715 * [backup-simplify]: Simplify -1/24 into -1/24 9.717 * [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 9.718 * [backup-simplify]: Simplify (- 0) into 0 9.718 * [backup-simplify]: Simplify (+ 0 0) into 0 9.718 * [backup-simplify]: Simplify 0 into 0 9.724 * [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 9.724 * [backup-simplify]: Simplify (- -1/720) into 1/720 9.725 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 9.725 * [backup-simplify]: Simplify 1/720 into 1/720 9.725 * [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))) 9.726 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 9.726 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 9.726 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 9.726 * [taylor]: Taking taylor expansion of 1.0 in x 9.726 * [backup-simplify]: Simplify 1.0 into 1.0 9.726 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.726 * [taylor]: Taking taylor expansion of x in x 9.726 * [backup-simplify]: Simplify 0 into 0 9.726 * [backup-simplify]: Simplify 1 into 1 9.726 * [backup-simplify]: Simplify (/ 1 1) into 1 9.726 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.726 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 9.727 * [taylor]: Taking taylor expansion of 1.0 in x 9.727 * [backup-simplify]: Simplify 1.0 into 1.0 9.727 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.727 * [taylor]: Taking taylor expansion of x in x 9.727 * [backup-simplify]: Simplify 0 into 0 9.727 * [backup-simplify]: Simplify 1 into 1 9.727 * [backup-simplify]: Simplify (/ 1 1) into 1 9.727 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.727 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 9.727 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 9.728 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 9.728 * [backup-simplify]: Simplify (- 0) into 0 9.728 * [backup-simplify]: Simplify (+ 0 0) into 0 9.728 * [backup-simplify]: Simplify 0 into 0 9.729 * [backup-simplify]: Simplify (- 0) into 0 9.729 * [backup-simplify]: Simplify (+ 0 0) into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.730 * [backup-simplify]: Simplify (- 0) into 0 9.730 * [backup-simplify]: Simplify (+ 0 0) into 0 9.730 * [backup-simplify]: Simplify 0 into 0 9.730 * [backup-simplify]: Simplify (- 0) into 0 9.731 * [backup-simplify]: Simplify (+ 0 0) into 0 9.731 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify (- 0) into 0 9.731 * [backup-simplify]: Simplify (+ 0 0) into 0 9.731 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify (- 0) into 0 9.732 * [backup-simplify]: Simplify (+ 0 0) into 0 9.732 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 9.732 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 9.732 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 9.732 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 9.733 * [taylor]: Taking taylor expansion of 1.0 in x 9.733 * [backup-simplify]: Simplify 1.0 into 1.0 9.733 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.733 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.733 * [taylor]: Taking taylor expansion of -1 in x 9.733 * [backup-simplify]: Simplify -1 into -1 9.733 * [taylor]: Taking taylor expansion of x in x 9.733 * [backup-simplify]: Simplify 0 into 0 9.733 * [backup-simplify]: Simplify 1 into 1 9.733 * [backup-simplify]: Simplify (/ -1 1) into -1 9.733 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.733 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 9.733 * [taylor]: Taking taylor expansion of 1.0 in x 9.733 * [backup-simplify]: Simplify 1.0 into 1.0 9.733 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.733 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.733 * [taylor]: Taking taylor expansion of -1 in x 9.733 * [backup-simplify]: Simplify -1 into -1 9.733 * [taylor]: Taking taylor expansion of x in x 9.733 * [backup-simplify]: Simplify 0 into 0 9.733 * [backup-simplify]: Simplify 1 into 1 9.734 * [backup-simplify]: Simplify (/ -1 1) into -1 9.734 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.734 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 9.734 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 9.734 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 9.735 * [backup-simplify]: Simplify (- 0) into 0 9.735 * [backup-simplify]: Simplify (+ 0 0) into 0 9.735 * [backup-simplify]: Simplify 0 into 0 9.735 * [backup-simplify]: Simplify (- 0) into 0 9.736 * [backup-simplify]: Simplify (+ 0 0) into 0 9.736 * [backup-simplify]: Simplify 0 into 0 9.736 * [backup-simplify]: Simplify (- 0) into 0 9.736 * [backup-simplify]: Simplify (+ 0 0) into 0 9.737 * [backup-simplify]: Simplify 0 into 0 9.737 * [backup-simplify]: Simplify (- 0) into 0 9.737 * [backup-simplify]: Simplify (+ 0 0) into 0 9.737 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify (- 0) into 0 9.738 * [backup-simplify]: Simplify (+ 0 0) into 0 9.738 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify (- 0) into 0 9.739 * [backup-simplify]: Simplify (+ 0 0) into 0 9.739 * [backup-simplify]: Simplify 0 into 0 9.739 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 9.739 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 9.739 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos x))) (/ x (sqrt (- 1.0 (cos x))))) into (/ (- 1.0 (cos x)) x) 9.739 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 9.739 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 9.739 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 9.740 * [taylor]: Taking taylor expansion of 1.0 in x 9.740 * [backup-simplify]: Simplify 1.0 into 1.0 9.740 * [taylor]: Taking taylor expansion of (cos x) in x 9.740 * [taylor]: Taking taylor expansion of x in x 9.740 * [backup-simplify]: Simplify 0 into 0 9.740 * [backup-simplify]: Simplify 1 into 1 9.740 * [taylor]: Taking taylor expansion of x in x 9.740 * [backup-simplify]: Simplify 0 into 0 9.740 * [backup-simplify]: Simplify 1 into 1 9.740 * [backup-simplify]: Simplify (- 1) into -1 9.741 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 9.741 * [backup-simplify]: Simplify (+ 0) into 0 9.742 * [backup-simplify]: Simplify (- 0) into 0 9.742 * [backup-simplify]: Simplify (+ 0 0) into 0 9.742 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.743 * [backup-simplify]: Simplify (- -1/2) into 1/2 9.743 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.743 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.743 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 9.743 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 9.743 * [taylor]: Taking taylor expansion of 1.0 in x 9.743 * [backup-simplify]: Simplify 1.0 into 1.0 9.743 * [taylor]: Taking taylor expansion of (cos x) in x 9.743 * [taylor]: Taking taylor expansion of x in x 9.743 * [backup-simplify]: Simplify 0 into 0 9.743 * [backup-simplify]: Simplify 1 into 1 9.743 * [taylor]: Taking taylor expansion of x in x 9.743 * [backup-simplify]: Simplify 0 into 0 9.743 * [backup-simplify]: Simplify 1 into 1 9.744 * [backup-simplify]: Simplify (- 1) into -1 9.744 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 9.744 * [backup-simplify]: Simplify (+ 0) into 0 9.744 * [backup-simplify]: Simplify (- 0) into 0 9.745 * [backup-simplify]: Simplify (+ 0 0) into 0 9.745 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.745 * [backup-simplify]: Simplify (- -1/2) into 1/2 9.746 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.746 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.746 * [backup-simplify]: Simplify 1/2 into 1/2 9.747 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.747 * [backup-simplify]: Simplify (- 0) into 0 9.747 * [backup-simplify]: Simplify (+ 0 0) into 0 9.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.748 * [backup-simplify]: Simplify 0 into 0 9.749 * [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 9.750 * [backup-simplify]: Simplify (- 1/24) into -1/24 9.750 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 9.751 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 9.751 * [backup-simplify]: Simplify -1/24 into -1/24 9.752 * [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 9.752 * [backup-simplify]: Simplify (- 0) into 0 9.752 * [backup-simplify]: Simplify (+ 0 0) into 0 9.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 9.754 * [backup-simplify]: Simplify 0 into 0 9.759 * [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 9.759 * [backup-simplify]: Simplify (- -1/720) into 1/720 9.759 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 9.761 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 9.761 * [backup-simplify]: Simplify 1/720 into 1/720 9.761 * [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))) 9.762 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ (/ 1 x) (sqrt (- 1.0 (cos (/ 1 x)))))) into (* x (- 1.0 (cos (/ 1 x)))) 9.762 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 9.762 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 9.762 * [taylor]: Taking taylor expansion of x in x 9.762 * [backup-simplify]: Simplify 0 into 0 9.762 * [backup-simplify]: Simplify 1 into 1 9.762 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 9.762 * [taylor]: Taking taylor expansion of 1.0 in x 9.762 * [backup-simplify]: Simplify 1.0 into 1.0 9.762 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.762 * [taylor]: Taking taylor expansion of x in x 9.762 * [backup-simplify]: Simplify 0 into 0 9.762 * [backup-simplify]: Simplify 1 into 1 9.762 * [backup-simplify]: Simplify (/ 1 1) into 1 9.763 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.763 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 9.763 * [taylor]: Taking taylor expansion of x in x 9.763 * [backup-simplify]: Simplify 0 into 0 9.763 * [backup-simplify]: Simplify 1 into 1 9.763 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 9.763 * [taylor]: Taking taylor expansion of 1.0 in x 9.763 * [backup-simplify]: Simplify 1.0 into 1.0 9.763 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.763 * [taylor]: Taking taylor expansion of x in x 9.763 * [backup-simplify]: Simplify 0 into 0 9.763 * [backup-simplify]: Simplify 1 into 1 9.763 * [backup-simplify]: Simplify (/ 1 1) into 1 9.763 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.764 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 9.764 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 9.764 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify (- 0) into 0 9.764 * [backup-simplify]: Simplify (+ 0 0) into 0 9.765 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 9.765 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 9.765 * [backup-simplify]: Simplify (- 0) into 0 9.766 * [backup-simplify]: Simplify (+ 0 0) into 0 9.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 9.767 * [backup-simplify]: Simplify 0 into 0 9.767 * [backup-simplify]: Simplify (- 0) into 0 9.767 * [backup-simplify]: Simplify (+ 0 0) into 0 9.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 9.768 * [backup-simplify]: Simplify 0 into 0 9.769 * [backup-simplify]: Simplify (- 0) into 0 9.769 * [backup-simplify]: Simplify (+ 0 0) into 0 9.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 9.770 * [backup-simplify]: Simplify 0 into 0 9.771 * [backup-simplify]: Simplify (- 0) into 0 9.771 * [backup-simplify]: Simplify (+ 0 0) into 0 9.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 9.773 * [backup-simplify]: Simplify 0 into 0 9.773 * [backup-simplify]: Simplify (- 0) into 0 9.774 * [backup-simplify]: Simplify (+ 0 0) into 0 9.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 9.776 * [backup-simplify]: Simplify 0 into 0 9.776 * [backup-simplify]: Simplify (- 0) into 0 9.776 * [backup-simplify]: Simplify (+ 0 0) into 0 9.779 * [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 9.779 * [backup-simplify]: Simplify 0 into 0 9.779 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 9.779 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ (/ 1 (- x)) (sqrt (- 1.0 (cos (/ 1 (- x))))))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 9.779 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 9.779 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 9.779 * [taylor]: Taking taylor expansion of -1 in x 9.779 * [backup-simplify]: Simplify -1 into -1 9.779 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 9.779 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 9.779 * [taylor]: Taking taylor expansion of 1.0 in x 9.780 * [backup-simplify]: Simplify 1.0 into 1.0 9.780 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.780 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.780 * [taylor]: Taking taylor expansion of -1 in x 9.780 * [backup-simplify]: Simplify -1 into -1 9.780 * [taylor]: Taking taylor expansion of x in x 9.780 * [backup-simplify]: Simplify 0 into 0 9.780 * [backup-simplify]: Simplify 1 into 1 9.780 * [backup-simplify]: Simplify (/ -1 1) into -1 9.780 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.780 * [taylor]: Taking taylor expansion of x in x 9.780 * [backup-simplify]: Simplify 0 into 0 9.780 * [backup-simplify]: Simplify 1 into 1 9.780 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 9.780 * [taylor]: Taking taylor expansion of -1 in x 9.780 * [backup-simplify]: Simplify -1 into -1 9.780 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 9.780 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 9.780 * [taylor]: Taking taylor expansion of 1.0 in x 9.781 * [backup-simplify]: Simplify 1.0 into 1.0 9.781 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.781 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.781 * [taylor]: Taking taylor expansion of -1 in x 9.781 * [backup-simplify]: Simplify -1 into -1 9.781 * [taylor]: Taking taylor expansion of x in x 9.781 * [backup-simplify]: Simplify 0 into 0 9.781 * [backup-simplify]: Simplify 1 into 1 9.781 * [backup-simplify]: Simplify (/ -1 1) into -1 9.781 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.781 * [taylor]: Taking taylor expansion of x in x 9.781 * [backup-simplify]: Simplify 0 into 0 9.781 * [backup-simplify]: Simplify 1 into 1 9.781 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 9.782 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 9.782 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 9.782 * [backup-simplify]: Simplify (* -1 0) into 0 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify (- 0) into 0 9.783 * [backup-simplify]: Simplify (+ 0 0) into 0 9.783 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 9.784 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 9.784 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 9.784 * [backup-simplify]: Simplify (- 0) into 0 9.784 * [backup-simplify]: Simplify (+ 0 0) into 0 9.785 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 9.786 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 9.786 * [backup-simplify]: Simplify 0 into 0 9.786 * [backup-simplify]: Simplify (- 0) into 0 9.787 * [backup-simplify]: Simplify (+ 0 0) into 0 9.787 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.789 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify (- 0) into 0 9.789 * [backup-simplify]: Simplify (+ 0 0) into 0 9.790 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.792 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify (- 0) into 0 9.792 * [backup-simplify]: Simplify (+ 0 0) into 0 9.793 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.795 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 9.795 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify (- 0) into 0 9.795 * [backup-simplify]: Simplify (+ 0 0) into 0 9.796 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.797 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 9.797 * [backup-simplify]: Simplify 0 into 0 9.797 * [backup-simplify]: Simplify (- 0) into 0 9.798 * [backup-simplify]: Simplify (+ 0 0) into 0 9.798 * [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 9.800 * [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 9.800 * [backup-simplify]: Simplify 0 into 0 9.800 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 9.800 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.800 * [backup-simplify]: Simplify (/ x (sqrt (- 1.0 (cos x)))) into (* (sqrt (/ 1 (- 1.0 (cos x)))) x) 9.800 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (cos x)))) x) in (x) around 0 9.800 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (cos x)))) x) in x 9.801 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos x)))) in x 9.801 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in x 9.801 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 9.801 * [taylor]: Taking taylor expansion of 1.0 in x 9.801 * [backup-simplify]: Simplify 1.0 into 1.0 9.801 * [taylor]: Taking taylor expansion of (cos x) in x 9.801 * [taylor]: Taking taylor expansion of x in x 9.801 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify 1 into 1 9.801 * [backup-simplify]: Simplify (- 1) into -1 9.801 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 9.801 * [backup-simplify]: Simplify (+ 0) into 0 9.802 * [backup-simplify]: Simplify (- 0) into 0 9.802 * [backup-simplify]: Simplify (+ 0 0) into 0 9.802 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.803 * [backup-simplify]: Simplify (- -1/2) into 1/2 9.803 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.803 * [backup-simplify]: Simplify (/ 1 1/2) into 2 9.804 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.805 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.805 * [backup-simplify]: Simplify (- 0) into 0 9.805 * [backup-simplify]: Simplify (+ 0 0) into 0 9.805 * [backup-simplify]: Simplify (- (+ (* 2 (/ 0 1/2)))) into 0 9.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.806 * [taylor]: Taking taylor expansion of x in x 9.806 * [backup-simplify]: Simplify 0 into 0 9.806 * [backup-simplify]: Simplify 1 into 1 9.806 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (cos x)))) x) in x 9.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos x)))) in x 9.806 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in x 9.806 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 9.806 * [taylor]: Taking taylor expansion of 1.0 in x 9.806 * [backup-simplify]: Simplify 1.0 into 1.0 9.806 * [taylor]: Taking taylor expansion of (cos x) in x 9.806 * [taylor]: Taking taylor expansion of x in x 9.806 * [backup-simplify]: Simplify 0 into 0 9.806 * [backup-simplify]: Simplify 1 into 1 9.806 * [backup-simplify]: Simplify (- 1) into -1 9.807 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 9.807 * [backup-simplify]: Simplify (+ 0) into 0 9.807 * [backup-simplify]: Simplify (- 0) into 0 9.807 * [backup-simplify]: Simplify (+ 0 0) into 0 9.808 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.808 * [backup-simplify]: Simplify (- -1/2) into 1/2 9.808 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.809 * [backup-simplify]: Simplify (/ 1 1/2) into 2 9.809 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.810 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.810 * [backup-simplify]: Simplify (- 0) into 0 9.810 * [backup-simplify]: Simplify (+ 0 0) into 0 9.811 * [backup-simplify]: Simplify (- (+ (* 2 (/ 0 1/2)))) into 0 9.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.811 * [taylor]: Taking taylor expansion of x in x 9.811 * [backup-simplify]: Simplify 0 into 0 9.811 * [backup-simplify]: Simplify 1 into 1 9.812 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 9.812 * [backup-simplify]: Simplify 0 into 0 9.813 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 9.813 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.815 * [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 9.815 * [backup-simplify]: Simplify (- 1/24) into -1/24 9.816 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 9.816 * [backup-simplify]: Simplify (- (+ (* 2 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/6 9.818 * [backup-simplify]: Simplify (/ (- 1/6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/12 (sqrt 2)) 9.819 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* (/ 1/12 (sqrt 2)) 0))) into 0 9.819 * [backup-simplify]: Simplify 0 into 0 9.820 * [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 9.820 * [backup-simplify]: Simplify (- 0) into 0 9.821 * [backup-simplify]: Simplify (+ 0 0) into 0 9.821 * [backup-simplify]: Simplify (- (+ (* 2 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* 1/6 (/ 0 1/2)))) into 0 9.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/12 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 9.832 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* (/ 1/12 (sqrt 2)) 1) (* 0 0)))) into (* 1/12 (/ 1 (sqrt 2))) 9.833 * [backup-simplify]: Simplify (* 1/12 (/ 1 (sqrt 2))) into (/ 1/12 (sqrt 2)) 9.836 * [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 9.836 * [backup-simplify]: Simplify (- -1/720) into 1/720 9.837 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 9.838 * [backup-simplify]: Simplify (- (+ (* 2 (/ 1/720 1/2)) (* 0 (/ 0 1/2)) (* 1/6 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/120 9.841 * [backup-simplify]: Simplify (/ (- 1/120 (pow (/ 1/12 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/120 (* 1/144 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 9.844 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* (/ 1/12 (sqrt 2)) 0) (+ (* 0 1) (* (* 1/2 (/ (- 1/120 (* 1/144 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 0))))) into 0 9.844 * [backup-simplify]: Simplify 0 into 0 9.848 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.848 * [backup-simplify]: Simplify (- 0) into 0 9.849 * [backup-simplify]: Simplify (+ 0 0) into 0 9.851 * [backup-simplify]: Simplify (- (+ (* 2 (/ 0 1/2)) (* 0 (/ 1/720 1/2)) (* 1/6 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* 1/120 (/ 0 1/2)))) into 0 9.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ (- 1/120 (* 1/144 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 2 (* (/ 1/12 (sqrt 2)) 0)))) (* 2 (sqrt 2))) into 0 9.870 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* (/ 1/12 (sqrt 2)) 0) (+ (* 0 0) (+ (* (* 1/2 (/ (- 1/120 (* 1/144 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 1) (* 0 0)))))) into (- (* 1/240 (/ 1 (sqrt 2))) (* 1/288 (/ 1 (pow (sqrt 2) 3)))) 9.873 * [backup-simplify]: Simplify (- (* 1/240 (/ 1 (sqrt 2))) (* 1/288 (/ 1 (pow (sqrt 2) 3)))) into (- (* 1/240 (/ 1 (sqrt 2))) (* 1/288 (/ 1 (pow (sqrt 2) 3)))) 9.878 * [backup-simplify]: Simplify (+ (* (- (* 1/240 (/ 1 (sqrt 2))) (* 1/288 (/ 1 (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (/ 1/12 (sqrt 2)) (pow x 2)) (sqrt 2))) into (- (+ (* 1/240 (/ (pow x 4) (sqrt 2))) (+ (* 1/12 (/ (pow x 2) (sqrt 2))) (sqrt 2))) (* 1/288 (/ (pow x 4) (pow (sqrt 2) 3)))) 9.879 * [backup-simplify]: Simplify (/ (/ 1 x) (sqrt (- 1.0 (cos (/ 1 x))))) into (* (/ 1 x) (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))) 9.879 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))) in (x) around 0 9.879 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))) in x 9.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.879 * [taylor]: Taking taylor expansion of x in x 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 1 into 1 9.879 * [backup-simplify]: Simplify (/ 1 1) into 1 9.879 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) in x 9.879 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in x 9.879 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 9.879 * [taylor]: Taking taylor expansion of 1.0 in x 9.879 * [backup-simplify]: Simplify 1.0 into 1.0 9.879 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.879 * [taylor]: Taking taylor expansion of x in x 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 1 into 1 9.880 * [backup-simplify]: Simplify (/ 1 1) into 1 9.880 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.880 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 9.880 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 9.880 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 9.880 * [backup-simplify]: Simplify (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) into (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) 9.880 * [backup-simplify]: Simplify (- 0) into 0 9.881 * [backup-simplify]: Simplify (+ 0 0) into 0 9.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 9.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 9.881 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))) in x 9.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.881 * [taylor]: Taking taylor expansion of x in x 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 1 into 1 9.881 * [backup-simplify]: Simplify (/ 1 1) into 1 9.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) in x 9.881 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in x 9.881 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 9.881 * [taylor]: Taking taylor expansion of 1.0 in x 9.881 * [backup-simplify]: Simplify 1.0 into 1.0 9.881 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.881 * [taylor]: Taking taylor expansion of x in x 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 1 into 1 9.882 * [backup-simplify]: Simplify (/ 1 1) into 1 9.882 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.882 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 9.882 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 9.882 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 9.882 * [backup-simplify]: Simplify (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) into (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) 9.882 * [backup-simplify]: Simplify (- 0) into 0 9.883 * [backup-simplify]: Simplify (+ 0 0) into 0 9.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 9.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 9.883 * [backup-simplify]: Simplify (* 1 (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))) into (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) 9.883 * [backup-simplify]: Simplify (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) into (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))) 9.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 9.884 * [backup-simplify]: Simplify 0 into 0 9.884 * [backup-simplify]: Simplify (- 0) into 0 9.884 * [backup-simplify]: Simplify (+ 0 0) into 0 9.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 9.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 9.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))))) into 0 9.886 * [backup-simplify]: Simplify 0 into 0 9.887 * [backup-simplify]: Simplify (- 0) into 0 9.887 * [backup-simplify]: Simplify (+ 0 0) into 0 9.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 9.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 9.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))))) into 0 9.889 * [backup-simplify]: Simplify 0 into 0 9.890 * [backup-simplify]: Simplify (- 0) into 0 9.890 * [backup-simplify]: Simplify (+ 0 0) into 0 9.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 9.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 9.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))))))) into 0 9.893 * [backup-simplify]: Simplify 0 into 0 9.893 * [backup-simplify]: Simplify (- 0) into 0 9.893 * [backup-simplify]: Simplify (+ 0 0) into 0 9.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 9.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 9.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))))))) into 0 9.896 * [backup-simplify]: Simplify 0 into 0 9.896 * [backup-simplify]: Simplify (- 0) into 0 9.896 * [backup-simplify]: Simplify (+ 0 0) into 0 9.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 9.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ 1 x))))))) into 0 9.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ 1 x)))))))))))) into 0 9.899 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- 1.0 (cos (/ 1 (/ 1 x)))))) (/ 1 (/ 1 x))) into (* (sqrt (/ 1 (- 1.0 (cos x)))) x) 9.900 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (sqrt (- 1.0 (cos (/ 1 (- x)))))) into (* -1 (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x))) 9.900 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x))) in (x) around 0 9.900 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x))) in x 9.900 * [taylor]: Taking taylor expansion of -1 in x 9.900 * [backup-simplify]: Simplify -1 into -1 9.900 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x)) in x 9.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) in x 9.900 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in x 9.900 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 9.900 * [taylor]: Taking taylor expansion of 1.0 in x 9.900 * [backup-simplify]: Simplify 1.0 into 1.0 9.900 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.900 * [taylor]: Taking taylor expansion of -1 in x 9.900 * [backup-simplify]: Simplify -1 into -1 9.900 * [taylor]: Taking taylor expansion of x in x 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify 1 into 1 9.900 * [backup-simplify]: Simplify (/ -1 1) into -1 9.900 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.901 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 9.901 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 9.901 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ -1 x)))) into (/ 1 (- 1.0 (cos (/ -1 x)))) 9.901 * [backup-simplify]: Simplify (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) into (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 9.901 * [backup-simplify]: Simplify (- 0) into 0 9.901 * [backup-simplify]: Simplify (+ 0 0) into 0 9.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 9.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 9.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.902 * [taylor]: Taking taylor expansion of x in x 9.902 * [backup-simplify]: Simplify 0 into 0 9.902 * [backup-simplify]: Simplify 1 into 1 9.902 * [backup-simplify]: Simplify (/ 1 1) into 1 9.902 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x))) in x 9.902 * [taylor]: Taking taylor expansion of -1 in x 9.902 * [backup-simplify]: Simplify -1 into -1 9.902 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) (/ 1 x)) in x 9.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) in x 9.902 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in x 9.902 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 9.902 * [taylor]: Taking taylor expansion of 1.0 in x 9.902 * [backup-simplify]: Simplify 1.0 into 1.0 9.902 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.902 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.902 * [taylor]: Taking taylor expansion of -1 in x 9.902 * [backup-simplify]: Simplify -1 into -1 9.902 * [taylor]: Taking taylor expansion of x in x 9.902 * [backup-simplify]: Simplify 0 into 0 9.902 * [backup-simplify]: Simplify 1 into 1 9.902 * [backup-simplify]: Simplify (/ -1 1) into -1 9.902 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.903 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 9.903 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 9.903 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ -1 x)))) into (/ 1 (- 1.0 (cos (/ -1 x)))) 9.903 * [backup-simplify]: Simplify (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) into (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 9.903 * [backup-simplify]: Simplify (- 0) into 0 9.903 * [backup-simplify]: Simplify (+ 0 0) into 0 9.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 9.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 9.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.904 * [taylor]: Taking taylor expansion of x in x 9.904 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify 1 into 1 9.904 * [backup-simplify]: Simplify (/ 1 1) into 1 9.904 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 1) into (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 9.904 * [backup-simplify]: Simplify (* -1 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))) into (* -1 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))) 9.905 * [backup-simplify]: Simplify (* -1 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))) into (* -1 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))) 9.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.905 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (* 0 1)) into 0 9.906 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 9.906 * [backup-simplify]: Simplify 0 into 0 9.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.907 * [backup-simplify]: Simplify (- 0) into 0 9.907 * [backup-simplify]: Simplify (+ 0 0) into 0 9.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 9.908 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 9.908 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (+ (* 0 0) (* 0 1))) into 0 9.909 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))))) into 0 9.909 * [backup-simplify]: Simplify 0 into 0 9.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.909 * [backup-simplify]: Simplify (- 0) into 0 9.910 * [backup-simplify]: Simplify (+ 0 0) into 0 9.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 9.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 9.911 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))))) into 0 9.912 * [backup-simplify]: Simplify 0 into 0 9.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.913 * [backup-simplify]: Simplify (- 0) into 0 9.913 * [backup-simplify]: Simplify (+ 0 0) into 0 9.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 9.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 9.915 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.917 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))))))) into 0 9.917 * [backup-simplify]: Simplify 0 into 0 9.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.918 * [backup-simplify]: Simplify (- 0) into 0 9.918 * [backup-simplify]: Simplify (+ 0 0) into 0 9.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 9.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 9.921 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))))))) into 0 9.923 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.924 * [backup-simplify]: Simplify (- 0) into 0 9.924 * [backup-simplify]: Simplify (+ 0 0) into 0 9.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 9.927 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))))) into 0 9.935 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (- 1.0 (cos (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.937 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- 1.0 (cos (/ -1 x)))))))))))) into 0 9.937 * [backup-simplify]: Simplify 0 into 0 9.938 * [backup-simplify]: Simplify (* (* -1 (sqrt (/ 1 (- 1.0 (cos (/ -1 (/ 1 (- x)))))))) (/ 1 (/ 1 (- x)))) into (* (sqrt (/ 1 (- 1.0 (cos x)))) x) 9.938 * * * [progress]: simplifying candidates 9.951 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 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(sqrt (cos x))))) (/ x (sqrt 1)) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x 1) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ x (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (/ x (sqrt (- (* 1.0 1.0) (* (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)) (- (+ (* 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)) (- (+ (* 1/240 (/ (pow x 4) (sqrt 2))) (+ (* 1/12 (/ (pow x 2) (sqrt 2))) (sqrt 2))) (* 1/288 (/ (pow x 4) (pow (sqrt 2) 3)))) (* (sqrt (/ 1 (- 1.0 (cos x)))) x) (* (sqrt (/ 1 (- 1.0 (cos x)))) x) 9.974 * * [simplify]: Extracting # 0 : cost 0 9.975 * * [simplify]: Extracting # 1 : cost 0 9.977 * * [simplify]: Extracting # 2 : cost 0 9.978 * * [simplify]: Extracting # 3 : cost 0 9.979 * * [simplify]: Extracting # 4 : cost 0 9.981 * * [simplify]: Extracting # 5 : cost 0 9.982 * * [simplify]: Extracting # 6 : cost 0 9.984 * * [simplify]: Extracting # 7 : cost 0 9.985 * * [simplify]: Extracting # 8 : cost 0 9.986 * * [simplify]: Extracting # 9 : cost 0 9.988 * * [simplify]: iteration 0 : 462 enodes (cost 10179 ) 10.201 * * [simplify]: Extracting # 0 : cost 0 10.202 * * [simplify]: Extracting # 1 : cost 0 10.204 * * [simplify]: Extracting # 2 : cost 0 10.205 * * [simplify]: Extracting # 3 : cost 0 10.207 * * [simplify]: Extracting # 4 : cost 0 10.209 * * [simplify]: iteration 1 : 943 enodes (cost 8950 ) 10.710 * * [simplify]: Extracting # 0 : cost 0 10.719 * * [simplify]: Extracting # 1 : cost 0 10.726 * * [simplify]: Extracting # 2 : cost 0 10.733 * * [simplify]: Extracting # 3 : cost 0 10.740 * * [simplify]: Extracting # 4 : cost 0 10.747 * * [simplify]: iteration 2 : 3024 enodes (cost 8128 ) 11.816 * * [simplify]: Extracting # 0 : cost 0 11.828 * * [simplify]: Extracting # 1 : cost 0 11.838 * * [simplify]: Extracting # 2 : cost 0 11.848 * * [simplify]: iteration done: 5000 enodes (cost 7825 ) 11.852 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- (pow (cbrt 1.0) 3) (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))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (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)) (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 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(- (fma 1/240 (/ (pow x 4) (sqrt 2)) (fma 1/12 (/ (pow x 2) (sqrt 2)) (sqrt 2))) (* 1/576 (/ (pow x 4) (sqrt 2)))) (* (sqrt (/ 1 (- 1.0 (cos x)))) x) (* (sqrt (/ 1 (- 1.0 (cos x)))) x) 11.856 * * * [progress]: adding candidates to table 12.807 * [progress]: [Phase 3 of 3] Extracting. 12.807 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 12.811 * * * [regime-changes]: Trying 1 branch expressions: (x) 12.812 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 12.876 * * * [regime]: Found split indices: #