17.686 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.100 * * * [progress]: [2/2] Setting up program. 0.103 * [progress]: [Phase 2 of 3] Improving. 0.104 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.104 * * [simplify]: iteration 0: 6 enodes 0.105 * * [simplify]: iteration 1: 13 enodes 0.107 * * [simplify]: iteration 2: 21 enodes 0.109 * * [simplify]: iteration 3: 26 enodes 0.112 * * [simplify]: iteration 4: 28 enodes 0.116 * * [simplify]: iteration complete: 28 enodes 0.116 * * [simplify]: Extracting #0: cost 1 inf + 0 0.116 * * [simplify]: Extracting #1: cost 8 inf + 0 0.116 * * [simplify]: Extracting #2: cost 12 inf + 4 0.116 * * [simplify]: Extracting #3: cost 7 inf + 20 0.116 * * [simplify]: Extracting #4: cost 0 inf + 58 0.116 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.118 * * [progress]: iteration 1 / 4 0.118 * * * [progress]: picking best candidate 0.124 * * * * [pick]: Picked # 0.124 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.153 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.159 * * * [progress]: generating series expansions 0.160 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.164 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.164 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [taylor]: Taking taylor expansion of (cos x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (- 1) into -1 0.167 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.167 * [backup-simplify]: Simplify (+ 0) into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.170 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.170 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.171 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [backup-simplify]: Simplify 1.0 into 1.0 0.171 * [taylor]: Taking taylor expansion of (cos x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (- 1) into -1 0.173 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.194 * [backup-simplify]: Simplify (+ 0) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.196 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.196 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.198 * [backup-simplify]: Simplify 1/2 into 1/2 0.199 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.202 * [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 0.202 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.202 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.203 * [backup-simplify]: Simplify -1/24 into -1/24 0.205 * [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 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.210 * [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 0.210 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.211 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.212 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.212 * [backup-simplify]: Simplify 1/720 into 1/720 0.213 * [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))) 0.214 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 0.214 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.215 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 0.215 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) 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 (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 0.226 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [backup-simplify]: Simplify 1.0 into 1.0 0.226 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.226 * [taylor]: Taking taylor expansion of -1 in x 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ -1 1) into -1 0.227 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.227 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.227 * [taylor]: Taking taylor expansion of -1 in x 0.227 * [backup-simplify]: Simplify -1 into -1 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ -1 1) into -1 0.227 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.228 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.228 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.228 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 0.240 * [backup-simplify]: Simplify 0 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.243 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.243 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.243 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [backup-simplify]: Simplify 1.0 into 1.0 0.244 * [taylor]: Taking taylor expansion of (cos x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [backup-simplify]: Simplify 1.0 into 1.0 0.244 * [taylor]: Taking taylor expansion of (cos x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (- 1) into -1 0.244 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (+ 0) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.246 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.246 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.246 * [backup-simplify]: Simplify 1/2 into 1/2 0.247 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.249 * [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 0.249 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.250 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.250 * [backup-simplify]: Simplify -1/24 into -1/24 0.251 * [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 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.254 * [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 0.255 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.255 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.255 * [backup-simplify]: Simplify 1/720 into 1/720 0.255 * [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))) 0.255 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.255 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.255 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [backup-simplify]: Simplify 1.0 into 1.0 0.255 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.256 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [backup-simplify]: Simplify 1.0 into 1.0 0.256 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.256 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.256 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.256 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.260 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.260 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [backup-simplify]: Simplify 1.0 into 1.0 0.260 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.260 * [taylor]: Taking taylor expansion of -1 in x 0.260 * [backup-simplify]: Simplify -1 into -1 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ -1 1) into -1 0.260 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.260 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [backup-simplify]: Simplify 1.0 into 1.0 0.260 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.260 * [taylor]: Taking taylor expansion of -1 in x 0.260 * [backup-simplify]: Simplify -1 into -1 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ -1 1) into -1 0.261 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.261 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.261 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.261 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.264 * * * [progress]: simplifying candidates 0.265 * [simplify]: Simplifying: (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.265 * * [simplify]: iteration 0: 88 enodes 0.290 * * [simplify]: iteration 1: 232 enodes 0.436 * * [simplify]: iteration 2: 1129 enodes 1.211 * * [simplify]: iteration complete: 5000 enodes 1.211 * * [simplify]: Extracting #0: cost 41 inf + 0 1.214 * * [simplify]: Extracting #1: cost 849 inf + 0 1.222 * * [simplify]: Extracting #2: cost 1982 inf + 764 1.236 * * [simplify]: Extracting #3: cost 1068 inf + 10234 1.244 * * [simplify]: Extracting #4: cost 130 inf + 18887 1.256 * * [simplify]: Extracting #5: cost 29 inf + 19642 1.263 * * [simplify]: Extracting #6: cost 2 inf + 19808 1.270 * * [simplify]: Extracting #7: cost 0 inf + 19818 1.278 * [simplify]: Simplified to: (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 (cos x)) (sqrt 1.0)) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (/ 1 x) x) (/ x (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x) (* (/ x (cbrt (- 1.0 (cos x)))) x) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) x)) (* (* x x) (+ (* 1.0 1.0) (* (cos x) (+ (cos x) 1.0)))) (* (* x x) (+ 1.0 (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)) (+ (* 1.0 1.0) (* (cos x) (+ (cos x) 1.0))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (+ 1/2 (* (* x x) (+ (* 1/720 (* x x)) -1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (* 1/720 (pow x 6)) (- (* (* x x) 1/2) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.278 * * * [progress]: adding candidates to table 1.427 * * [progress]: iteration 2 / 4 1.427 * * * [progress]: picking best candidate 1.463 * * * * [pick]: Picked # 1.463 * * * [progress]: localizing error 1.474 * * * [progress]: generating rewritten candidates 1.474 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.479 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.496 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.531 * * * [progress]: generating series expansions 1.531 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.531 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.531 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.531 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.532 * [taylor]: Taking taylor expansion of 1.0 in x 1.532 * [backup-simplify]: Simplify 1.0 into 1.0 1.532 * [taylor]: Taking taylor expansion of (cos x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.532 * [taylor]: Taking taylor expansion of 1.0 in x 1.532 * [backup-simplify]: Simplify 1.0 into 1.0 1.532 * [taylor]: Taking taylor expansion of (cos x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (- 1) into -1 1.533 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (+ 0) into 0 1.533 * [backup-simplify]: Simplify (- 0) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.534 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.534 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.534 * [backup-simplify]: Simplify 1/2 into 1/2 1.535 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.537 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.538 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.538 * [backup-simplify]: Simplify -1/24 into -1/24 1.539 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.539 * [backup-simplify]: Simplify (- 0) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.545 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.545 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.545 * [backup-simplify]: Simplify 1/720 into 1/720 1.546 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 1.546 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.546 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.546 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.546 * [backup-simplify]: Simplify 1.0 into 1.0 1.546 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (/ 1 1) into 1 1.547 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.547 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.547 * [taylor]: Taking taylor expansion of 1.0 in x 1.547 * [backup-simplify]: Simplify 1.0 into 1.0 1.547 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (/ 1 1) into 1 1.547 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.548 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.548 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.548 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.548 * [backup-simplify]: Simplify (- 0) into 0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (- 0) into 0 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (- 0) into 0 1.550 * [backup-simplify]: Simplify (+ 0 0) into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (- 0) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (- 0) into 0 1.553 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.553 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.553 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.553 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [backup-simplify]: Simplify 1.0 into 1.0 1.553 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.553 * [taylor]: Taking taylor expansion of -1 in x 1.553 * [backup-simplify]: Simplify -1 into -1 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (/ -1 1) into -1 1.554 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.554 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.554 * [backup-simplify]: Simplify 1.0 into 1.0 1.554 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.554 * [taylor]: Taking taylor expansion of -1 in x 1.554 * [backup-simplify]: Simplify -1 into -1 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (/ -1 1) into -1 1.554 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.554 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.554 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.554 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.555 * [backup-simplify]: Simplify (- 0) into 0 1.555 * [backup-simplify]: Simplify (+ 0 0) into 0 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify (- 0) into 0 1.555 * [backup-simplify]: Simplify (+ 0 0) into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (+ 0 0) into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (- 0) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (- 0) into 0 1.558 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.558 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.558 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 1.558 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 1.558 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.558 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.558 * [taylor]: Taking taylor expansion of 1.0 in x 1.558 * [backup-simplify]: Simplify 1.0 into 1.0 1.558 * [taylor]: Taking taylor expansion of (cos x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (- 1) into -1 1.559 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.559 * [backup-simplify]: Simplify (+ 0) into 0 1.559 * [backup-simplify]: Simplify (- 0) into 0 1.559 * [backup-simplify]: Simplify (+ 0 0) into 0 1.560 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.560 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.560 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.561 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.561 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.561 * [taylor]: Taking taylor expansion of 1.0 in x 1.561 * [backup-simplify]: Simplify 1.0 into 1.0 1.561 * [taylor]: Taking taylor expansion of (cos x) in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [taylor]: Taking taylor expansion of x in x 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [backup-simplify]: Simplify (- 1) into -1 1.561 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.562 * [backup-simplify]: Simplify (+ 0) into 0 1.562 * [backup-simplify]: Simplify (- 0) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.563 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.563 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.564 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.564 * [backup-simplify]: Simplify 1/2 into 1/2 1.564 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.565 * [backup-simplify]: Simplify (- 0) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.567 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.567 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.568 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 1.568 * [backup-simplify]: Simplify -1/24 into -1/24 1.571 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.571 * [backup-simplify]: Simplify (- 0) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.578 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.579 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.580 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 1.580 * [backup-simplify]: Simplify 1/720 into 1/720 1.581 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 1.581 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) x) 1.581 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 1.581 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 1.581 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.581 * [taylor]: Taking taylor expansion of 1.0 in x 1.581 * [backup-simplify]: Simplify 1.0 into 1.0 1.581 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.581 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify (/ 1 1) into 1 1.582 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 1.582 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.582 * [taylor]: Taking taylor expansion of 1.0 in x 1.582 * [backup-simplify]: Simplify 1.0 into 1.0 1.582 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (/ 1 1) into 1 1.583 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.583 * [taylor]: Taking taylor expansion of x in x 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.583 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.583 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (- 0) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 1.585 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.585 * [backup-simplify]: Simplify (- 0) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.587 * [backup-simplify]: Simplify (+ 0 0) into 0 1.588 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (- 0) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (- 0) into 0 1.590 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify (- 0) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify (- 0) into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.596 * [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 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 1.596 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 1.596 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 1.596 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 1.596 * [taylor]: Taking taylor expansion of -1 in x 1.596 * [backup-simplify]: Simplify -1 into -1 1.597 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.597 * [backup-simplify]: Simplify 1.0 into 1.0 1.597 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.597 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.597 * [taylor]: Taking taylor expansion of -1 in x 1.597 * [backup-simplify]: Simplify -1 into -1 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify (/ -1 1) into -1 1.597 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.597 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 1.597 * [taylor]: Taking taylor expansion of -1 in x 1.598 * [backup-simplify]: Simplify -1 into -1 1.598 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.598 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * [backup-simplify]: Simplify 1.0 into 1.0 1.598 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.598 * [taylor]: Taking taylor expansion of -1 in x 1.598 * [backup-simplify]: Simplify -1 into -1 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (/ -1 1) into -1 1.598 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.599 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.599 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.599 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 1.599 * [backup-simplify]: Simplify (* -1 0) into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (- 0) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 1.601 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 1.601 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 1.602 * [backup-simplify]: Simplify (- 0) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 1.604 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (- 0) into 0 1.605 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.607 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (- 0) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 1.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (- 0) into 0 1.612 * [backup-simplify]: Simplify (+ 0 0) into 0 1.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 1.614 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (- 0) into 0 1.615 * [backup-simplify]: Simplify (+ 0 0) into 0 1.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 1.617 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [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 1.621 * [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 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 1.621 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.621 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos x)) x) x) into (/ (- 1.0 (cos x)) (pow x 2)) 1.621 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.621 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.621 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.621 * [taylor]: Taking taylor expansion of 1.0 in x 1.621 * [backup-simplify]: Simplify 1.0 into 1.0 1.621 * [taylor]: Taking taylor expansion of (cos x) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (- 1) into -1 1.622 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.622 * [backup-simplify]: Simplify (+ 0) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.624 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.624 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.624 * [backup-simplify]: Simplify (* 1 1) into 1 1.624 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.624 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.624 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.624 * [taylor]: Taking taylor expansion of 1.0 in x 1.624 * [backup-simplify]: Simplify 1.0 into 1.0 1.624 * [taylor]: Taking taylor expansion of (cos x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (- 1) into -1 1.625 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.625 * [backup-simplify]: Simplify (+ 0) into 0 1.625 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.626 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.627 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.627 * [backup-simplify]: Simplify (* 1 1) into 1 1.627 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.627 * [backup-simplify]: Simplify 1/2 into 1/2 1.628 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.628 * [backup-simplify]: Simplify (- 0) into 0 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.635 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.635 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.636 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 1.636 * [backup-simplify]: Simplify -1/24 into -1/24 1.637 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.638 * [backup-simplify]: Simplify (- 0) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.645 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.645 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.648 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 1.648 * [backup-simplify]: Simplify 1/720 into 1/720 1.649 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 1.649 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 1.649 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 1.649 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 1.649 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.649 * [taylor]: Taking taylor expansion of 1.0 in x 1.649 * [backup-simplify]: Simplify 1.0 into 1.0 1.649 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.650 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.650 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 1.650 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [backup-simplify]: Simplify 1.0 into 1.0 1.650 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.650 * [backup-simplify]: Simplify (/ 1 1) into 1 1.650 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.651 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.651 * [backup-simplify]: Simplify (* 1 1) into 1 1.651 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 1.651 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.655 * [backup-simplify]: Simplify (- 0) into 0 1.655 * [backup-simplify]: Simplify (+ 0 0) into 0 1.656 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (- 0) into 0 1.657 * [backup-simplify]: Simplify (+ 0 0) into 0 1.657 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.658 * [backup-simplify]: Simplify (- 0) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.659 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.660 * [backup-simplify]: Simplify (- 0) into 0 1.661 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.662 * [backup-simplify]: Simplify (- 0) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.663 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.663 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.664 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 1.664 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.664 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 1.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.664 * [taylor]: Taking taylor expansion of 1.0 in x 1.664 * [backup-simplify]: Simplify 1.0 into 1.0 1.664 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.664 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.664 * [taylor]: Taking taylor expansion of -1 in x 1.664 * [backup-simplify]: Simplify -1 into -1 1.664 * [taylor]: Taking taylor expansion of x in x 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (/ -1 1) into -1 1.665 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.665 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 1.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.665 * [taylor]: Taking taylor expansion of 1.0 in x 1.665 * [backup-simplify]: Simplify 1.0 into 1.0 1.665 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.665 * [taylor]: Taking taylor expansion of -1 in x 1.665 * [backup-simplify]: Simplify -1 into -1 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (/ -1 1) into -1 1.665 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.665 * [backup-simplify]: Simplify (* 1 1) into 1 1.665 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.666 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.666 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.666 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.666 * [backup-simplify]: Simplify (- 0) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (- 0) into 0 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify (- 0) into 0 1.669 * [backup-simplify]: Simplify (+ 0 0) into 0 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify (- 0) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (- 0) into 0 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (- 0) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.678 * * * [progress]: simplifying candidates 1.681 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (- (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) (/ (/ (- 1.0 (cos x)) x) x)) (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (- (/ (- 1.0 (cos x)) x)) (- x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) 1) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) 1) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) 1) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 1) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) 1) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (- (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))) (sqrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt 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)) 1.683 * * [simplify]: iteration 0: 229 enodes 1.741 * * [simplify]: iteration 1: 549 enodes 2.047 * * [simplify]: iteration 2: 2463 enodes 2.574 * * [simplify]: iteration complete: 5001 enodes 2.574 * * [simplify]: Extracting #0: cost 132 inf + 0 2.578 * * [simplify]: Extracting #1: cost 1645 inf + 1 2.591 * * [simplify]: Extracting #2: cost 2178 inf + 707 2.597 * * [simplify]: Extracting #3: cost 1167 inf + 9696 2.604 * * [simplify]: Extracting #4: cost 169 inf + 19620 2.611 * * [simplify]: Extracting #5: cost 6 inf + 21523 2.618 * * [simplify]: Extracting #6: cost 1 inf + 21532 2.625 * * [simplify]: Extracting #7: cost 0 inf + 21547 2.634 * [simplify]: Simplified to: (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)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (pow (- 1.0 (cos x)) 3) (pow x 3)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (cbrt (- 1.0 (cos x))) (/ (* (cbrt x) (cbrt x)) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (/ (+ (sqrt (cos x)) (sqrt 1.0)) (cbrt x)) (cbrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) x) (* x (+ 1.0 (cos x))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (/ (pow (/ (- 1.0 (cos x)) x) 3) (pow x 3)) (* (cbrt (/ (- 1.0 (cos x)) (pow x 2))) (cbrt (/ (- 1.0 (cos x)) (pow x 2)))) (cbrt (/ (- 1.0 (cos x)) (pow x 2))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (sqrt (/ (- 1.0 (cos x)) (pow x 2))) (sqrt (/ (- 1.0 (cos x)) (pow x 2))) (/ (- (- 1.0 (cos x))) x) (- x) (/ (/ 1.0 x) x) (/ (cos x) (* x x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (/ (cbrt x) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (/ (sqrt x) (cbrt (/ (- 1.0 (cos x)) x)))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (pow (cbrt x) 3))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (/ (cbrt x) (cbrt (- 1.0 (cos x))))) (* (sqrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (/ (* (cbrt x) (cbrt x)) (cbrt (- 1.0 (cos x))))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (/ (cbrt x) (cbrt (- 1.0 (cos x))))) (* (sqrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (cbrt (- 1.0 (cos x))) (/ (* (cbrt x) (cbrt x)) (cbrt (- 1.0 (cos x))))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (pow (cbrt x) 3))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) (* (cbrt x) (cbrt x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* x (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt x) (cbrt x)) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt 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))) (* x (sqrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* x (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* x (sqrt x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* x x)) (/ 1 (* (cbrt x) (pow (cbrt x) 3))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ (/ 1 (cbrt x)) (cbrt x)) (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) (cbrt x))) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (/ 1 (cbrt x)) (cbrt x)) (sqrt x)) (/ (- 1.0 (cos x)) (* (cbrt x) (sqrt 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)) (* x (cbrt x))) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (pow (cbrt x) 3))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (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))) (* x (cbrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (sqrt x) (* (cbrt x) (cbrt x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (sqrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (sqrt x))) (/ (/ (+ (sqrt (cos x)) (sqrt 1.0)) (cbrt x)) (cbrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (cbrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (sqrt x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x x)) (/ 1 (* (cbrt x) (pow (cbrt x) 3))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ (/ 1 (cbrt x)) (cbrt x)) (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) (cbrt x))) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (/ 1 (cbrt x)) (cbrt x)) (sqrt x)) (/ (- 1.0 (cos x)) (* (cbrt x) (sqrt 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)) (* x (cbrt x))) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (* x (cbrt x))) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 (* (sqrt x) x)) (- 1.0 (cos x)) (/ 1 (* x x)) (/ 1 x) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) 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 (sqrt x)) (cbrt (- 1.0 (cos x)))) (/ (* x x) (cbrt (- 1.0 (cos x)))) (* (/ x (sqrt (- 1.0 (cos x)))) (cbrt x)) (* (/ x (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* x x) (sqrt (- 1.0 (cos x)))) (* (/ x (- 1.0 (cos x))) (cbrt x)) (* (sqrt x) (/ x (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos 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)) (* (sqrt x) (/ x (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (* x x) (pow x 2) (+ (+ (* 1/720 (pow x 6)) (* (pow x 2) 1/2)) (* (pow x 4) -1/24)) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* (pow x 5) 1/720) (- (* 1/2 x) (* (pow x 3) 1/24))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (+ 1/2 (+ (* 1/720 (pow x 4)) (* -1/24 (pow x 2)))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 2.635 * * * [progress]: adding candidates to table 3.274 * * [progress]: iteration 3 / 4 3.274 * * * [progress]: picking best candidate 3.354 * * * * [pick]: Picked # 3.354 * * * [progress]: localizing error 3.369 * * * [progress]: generating rewritten candidates 3.369 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 3.374 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.382 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.408 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.518 * * * [progress]: generating series expansions 3.518 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 3.518 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 3.518 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.518 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.518 * [taylor]: Taking taylor expansion of 1.0 in x 3.518 * [backup-simplify]: Simplify 1.0 into 1.0 3.518 * [taylor]: Taking taylor expansion of (cos x) in x 3.518 * [taylor]: Taking taylor expansion of x in x 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.519 * [taylor]: Taking taylor expansion of 1.0 in x 3.519 * [backup-simplify]: Simplify 1.0 into 1.0 3.519 * [taylor]: Taking taylor expansion of (cos x) in x 3.519 * [taylor]: Taking taylor expansion of x in x 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.520 * [backup-simplify]: Simplify (- 1) into -1 3.520 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify (+ 0) into 0 3.521 * [backup-simplify]: Simplify (- 0) into 0 3.521 * [backup-simplify]: Simplify (+ 0 0) into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.522 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.523 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.523 * [backup-simplify]: Simplify 1/2 into 1/2 3.524 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.524 * [backup-simplify]: Simplify (- 0) into 0 3.525 * [backup-simplify]: Simplify (+ 0 0) into 0 3.525 * [backup-simplify]: Simplify 0 into 0 3.527 * [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 3.528 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.528 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.528 * [backup-simplify]: Simplify -1/24 into -1/24 3.530 * [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 3.530 * [backup-simplify]: Simplify (- 0) into 0 3.531 * [backup-simplify]: Simplify (+ 0 0) into 0 3.531 * [backup-simplify]: Simplify 0 into 0 3.535 * [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 3.536 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.536 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.536 * [backup-simplify]: Simplify 1/720 into 1/720 3.537 * [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))) 3.537 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.537 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.537 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.537 * [taylor]: Taking taylor expansion of 1.0 in x 3.537 * [backup-simplify]: Simplify 1.0 into 1.0 3.537 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.537 * [taylor]: Taking taylor expansion of x in x 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.537 * [backup-simplify]: Simplify (/ 1 1) into 1 3.537 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.538 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [backup-simplify]: Simplify 1.0 into 1.0 3.538 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 1 into 1 3.538 * [backup-simplify]: Simplify (/ 1 1) into 1 3.538 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.538 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.538 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.538 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.539 * [backup-simplify]: Simplify (- 0) into 0 3.539 * [backup-simplify]: Simplify (+ 0 0) into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify (- 0) into 0 3.540 * [backup-simplify]: Simplify (+ 0 0) into 0 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify (- 0) into 0 3.541 * [backup-simplify]: Simplify (+ 0 0) into 0 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify (- 0) into 0 3.541 * [backup-simplify]: Simplify (+ 0 0) into 0 3.541 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify (- 0) into 0 3.542 * [backup-simplify]: Simplify (+ 0 0) into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify (- 0) into 0 3.543 * [backup-simplify]: Simplify (+ 0 0) into 0 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 3.543 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 3.543 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.543 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.543 * [taylor]: Taking taylor expansion of 1.0 in x 3.543 * [backup-simplify]: Simplify 1.0 into 1.0 3.543 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.543 * [taylor]: Taking taylor expansion of -1 in x 3.543 * [backup-simplify]: Simplify -1 into -1 3.543 * [taylor]: Taking taylor expansion of x in x 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 1 into 1 3.544 * [backup-simplify]: Simplify (/ -1 1) into -1 3.544 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.544 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.544 * [taylor]: Taking taylor expansion of 1.0 in x 3.544 * [backup-simplify]: Simplify 1.0 into 1.0 3.544 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.544 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.544 * [taylor]: Taking taylor expansion of -1 in x 3.544 * [backup-simplify]: Simplify -1 into -1 3.544 * [taylor]: Taking taylor expansion of x in x 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.545 * [backup-simplify]: Simplify (/ -1 1) into -1 3.545 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.545 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.545 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.545 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 3.545 * [backup-simplify]: Simplify (- 0) into 0 3.546 * [backup-simplify]: Simplify (+ 0 0) into 0 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify (- 0) into 0 3.547 * [backup-simplify]: Simplify (+ 0 0) into 0 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify (- 0) into 0 3.547 * [backup-simplify]: Simplify (+ 0 0) into 0 3.547 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify (- 0) into 0 3.548 * [backup-simplify]: Simplify (+ 0 0) into 0 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify (- 0) into 0 3.549 * [backup-simplify]: Simplify (+ 0 0) into 0 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify (- 0) into 0 3.549 * [backup-simplify]: Simplify (+ 0 0) into 0 3.549 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 3.550 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.550 * [backup-simplify]: Simplify (/ x (- 1.0 (cos x))) into (/ x (- 1.0 (cos x))) 3.550 * [approximate]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in (x) around 0 3.550 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 3.550 * [taylor]: Taking taylor expansion of x in x 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 1 into 1 3.550 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.550 * [taylor]: Taking taylor expansion of 1.0 in x 3.550 * [backup-simplify]: Simplify 1.0 into 1.0 3.550 * [taylor]: Taking taylor expansion of (cos x) in x 3.550 * [taylor]: Taking taylor expansion of x in x 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 1 into 1 3.550 * [backup-simplify]: Simplify (- 1) into -1 3.551 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.551 * [backup-simplify]: Simplify (+ 0) into 0 3.552 * [backup-simplify]: Simplify (- 0) into 0 3.552 * [backup-simplify]: Simplify (+ 0 0) into 0 3.553 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.553 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.554 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.554 * [backup-simplify]: Simplify (/ 1 1/2) into 2 3.554 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 3.554 * [taylor]: Taking taylor expansion of x in x 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.554 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.554 * [taylor]: Taking taylor expansion of 1.0 in x 3.554 * [backup-simplify]: Simplify 1.0 into 1.0 3.554 * [taylor]: Taking taylor expansion of (cos x) in x 3.554 * [taylor]: Taking taylor expansion of x in x 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.555 * [backup-simplify]: Simplify (- 1) into -1 3.555 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.555 * [backup-simplify]: Simplify (+ 0) into 0 3.556 * [backup-simplify]: Simplify (- 0) into 0 3.556 * [backup-simplify]: Simplify (+ 0 0) into 0 3.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.557 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.558 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.558 * [backup-simplify]: Simplify (/ 1 1/2) into 2 3.558 * [backup-simplify]: Simplify 2 into 2 3.559 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.560 * [backup-simplify]: Simplify (- 0) into 0 3.560 * [backup-simplify]: Simplify (+ 0 0) into 0 3.561 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0 3.561 * [backup-simplify]: Simplify 0 into 0 3.563 * [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 3.564 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.564 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.565 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/6 3.565 * [backup-simplify]: Simplify 1/6 into 1/6 3.567 * [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 3.568 * [backup-simplify]: Simplify (- 0) into 0 3.568 * [backup-simplify]: Simplify (+ 0 0) into 0 3.569 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* 1/6 (/ 0 1/2)))) into 0 3.570 * [backup-simplify]: Simplify 0 into 0 3.574 * [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 3.575 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.575 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.577 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/720 1/2)) (* 0 (/ 0 1/2)) (* 1/6 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/120 3.577 * [backup-simplify]: Simplify 1/120 into 1/120 3.578 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 3)) (+ (* 1/6 x) (* 2 (/ 1 x)))) into (+ (* 1/6 x) (+ (* 1/120 (pow x 3)) (* 2 (/ 1 x)))) 3.578 * [backup-simplify]: Simplify (/ (/ 1 x) (- 1.0 (cos (/ 1 x)))) into (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) 3.578 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) in (x) around 0 3.578 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) in x 3.578 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 3.578 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.578 * [taylor]: Taking taylor expansion of 1.0 in x 3.578 * [backup-simplify]: Simplify 1.0 into 1.0 3.578 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.578 * [taylor]: Taking taylor expansion of x in x 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 1 into 1 3.579 * [backup-simplify]: Simplify (/ 1 1) into 1 3.579 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.579 * [taylor]: Taking taylor expansion of x in x 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.579 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.579 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 3.579 * [backup-simplify]: Simplify (- 0) into 0 3.580 * [backup-simplify]: Simplify (+ 0 0) into 0 3.580 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 3.580 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 3.580 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) in x 3.580 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 3.580 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.581 * [taylor]: Taking taylor expansion of 1.0 in x 3.581 * [backup-simplify]: Simplify 1.0 into 1.0 3.581 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.581 * [taylor]: Taking taylor expansion of x in x 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify 1 into 1 3.581 * [backup-simplify]: Simplify (/ 1 1) into 1 3.581 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.581 * [taylor]: Taking taylor expansion of x in x 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify 1 into 1 3.581 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.581 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.582 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 3.582 * [backup-simplify]: Simplify (- 0) into 0 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.583 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 3.583 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 3.583 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 3.584 * [backup-simplify]: Simplify (- 0) into 0 3.584 * [backup-simplify]: Simplify (+ 0 0) into 0 3.585 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 3.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify (- 0) into 0 3.586 * [backup-simplify]: Simplify (+ 0 0) into 0 3.586 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify (- 0) into 0 3.588 * [backup-simplify]: Simplify (+ 0 0) into 0 3.589 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.589 * [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 3.589 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify (- 0) into 0 3.590 * [backup-simplify]: Simplify (+ 0 0) into 0 3.591 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.592 * [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 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (- 0) into 0 3.593 * [backup-simplify]: Simplify (+ 0 0) into 0 3.594 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.594 * [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 3.594 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify (- 0) into 0 3.595 * [backup-simplify]: Simplify (+ 0 0) into 0 3.597 * [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 3.597 * [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 3.597 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (* (/ 1 (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 (/ 1 x))) into (/ x (- 1.0 (cos x))) 3.598 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x))))) into (/ -1 (* x (- 1.0 (cos (/ -1 x))))) 3.598 * [approximate]: Taking taylor expansion of (/ -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 3.598 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (cos (/ -1 x))))) in x 3.598 * [taylor]: Taking taylor expansion of -1 in x 3.598 * [backup-simplify]: Simplify -1 into -1 3.598 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 3.598 * [taylor]: Taking taylor expansion of x in x 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 1 into 1 3.598 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.598 * [taylor]: Taking taylor expansion of 1.0 in x 3.598 * [backup-simplify]: Simplify 1.0 into 1.0 3.598 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.598 * [taylor]: Taking taylor expansion of -1 in x 3.598 * [backup-simplify]: Simplify -1 into -1 3.598 * [taylor]: Taking taylor expansion of x in x 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (/ -1 1) into -1 3.599 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.599 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.599 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.599 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 3.599 * [backup-simplify]: Simplify (- 0) into 0 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 3.600 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 3.600 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (cos (/ -1 x))))) in x 3.600 * [taylor]: Taking taylor expansion of -1 in x 3.600 * [backup-simplify]: Simplify -1 into -1 3.600 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 3.600 * [taylor]: Taking taylor expansion of x in x 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.601 * [taylor]: Taking taylor expansion of 1.0 in x 3.601 * [backup-simplify]: Simplify 1.0 into 1.0 3.601 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.601 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.601 * [taylor]: Taking taylor expansion of -1 in x 3.601 * [backup-simplify]: Simplify -1 into -1 3.601 * [taylor]: Taking taylor expansion of x in x 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (/ -1 1) into -1 3.601 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.601 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.602 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.602 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 3.602 * [backup-simplify]: Simplify (- 0) into 0 3.602 * [backup-simplify]: Simplify (+ 0 0) into 0 3.603 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 3.603 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 3.603 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 3.603 * [backup-simplify]: Simplify (- 0) into 0 3.604 * [backup-simplify]: Simplify (+ 0 0) into 0 3.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 3.605 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify (- 0) into 0 3.606 * [backup-simplify]: Simplify (+ 0 0) into 0 3.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 3.607 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify (- 0) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 3.610 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -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 3.610 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (- 0) into 0 3.611 * [backup-simplify]: Simplify (+ 0 0) into 0 3.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 3.614 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -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 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify (- 0) into 0 3.614 * [backup-simplify]: Simplify (+ 0 0) into 0 3.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 3.618 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -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 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify (- 0) into 0 3.618 * [backup-simplify]: Simplify (+ 0 0) into 0 3.626 * [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 3.627 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -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 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify (* (/ -1 (- 1.0 (cos (/ -1 (/ 1 (- x)))))) (/ 1 (/ 1 (- x)))) into (/ x (- 1.0 (cos x))) 3.627 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.627 * [backup-simplify]: Simplify (/ 1 (/ x (- 1.0 (cos x)))) into (/ (- 1.0 (cos x)) x) 3.627 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 3.627 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 3.627 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.627 * [taylor]: Taking taylor expansion of 1.0 in x 3.627 * [backup-simplify]: Simplify 1.0 into 1.0 3.627 * [taylor]: Taking taylor expansion of (cos x) in x 3.627 * [taylor]: Taking taylor expansion of x in x 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.628 * [taylor]: Taking taylor expansion of x in x 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify 1 into 1 3.628 * [backup-simplify]: Simplify (- 1) into -1 3.629 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.629 * [backup-simplify]: Simplify (+ 0) into 0 3.629 * [backup-simplify]: Simplify (- 0) into 0 3.630 * [backup-simplify]: Simplify (+ 0 0) into 0 3.631 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.632 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.632 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.633 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.633 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 3.633 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.633 * [taylor]: Taking taylor expansion of 1.0 in x 3.633 * [backup-simplify]: Simplify 1.0 into 1.0 3.633 * [taylor]: Taking taylor expansion of (cos x) in x 3.633 * [taylor]: Taking taylor expansion of x in x 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [taylor]: Taking taylor expansion of x in x 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (- 1) into -1 3.634 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.634 * [backup-simplify]: Simplify (+ 0) into 0 3.635 * [backup-simplify]: Simplify (- 0) into 0 3.635 * [backup-simplify]: Simplify (+ 0 0) into 0 3.636 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.636 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.637 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.637 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.637 * [backup-simplify]: Simplify 1/2 into 1/2 3.638 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.639 * [backup-simplify]: Simplify (- 0) into 0 3.639 * [backup-simplify]: Simplify (+ 0 0) into 0 3.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.642 * [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 3.642 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.643 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.644 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 3.644 * [backup-simplify]: Simplify -1/24 into -1/24 3.646 * [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 3.647 * [backup-simplify]: Simplify (- 0) into 0 3.647 * [backup-simplify]: Simplify (+ 0 0) into 0 3.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.653 * [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 3.654 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.654 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.656 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 3.656 * [backup-simplify]: Simplify 1/720 into 1/720 3.656 * [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))) 3.656 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 x) (- 1.0 (cos (/ 1 x))))) into (* (- 1.0 (cos (/ 1 x))) x) 3.656 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 3.657 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 3.657 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.657 * [taylor]: Taking taylor expansion of 1.0 in x 3.657 * [backup-simplify]: Simplify 1.0 into 1.0 3.657 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.657 * [taylor]: Taking taylor expansion of x in x 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [backup-simplify]: Simplify (/ 1 1) into 1 3.657 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.657 * [taylor]: Taking taylor expansion of x in x 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 3.657 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.657 * [taylor]: Taking taylor expansion of 1.0 in x 3.658 * [backup-simplify]: Simplify 1.0 into 1.0 3.658 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.658 * [taylor]: Taking taylor expansion of x in x 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [backup-simplify]: Simplify (/ 1 1) into 1 3.658 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.658 * [taylor]: Taking taylor expansion of x in x 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.658 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.659 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify (- 0) into 0 3.659 * [backup-simplify]: Simplify (+ 0 0) into 0 3.660 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 3.660 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.660 * [backup-simplify]: Simplify (- 0) into 0 3.661 * [backup-simplify]: Simplify (+ 0 0) into 0 3.661 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 3.661 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify (- 0) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify (- 0) into 0 3.664 * [backup-simplify]: Simplify (+ 0 0) into 0 3.665 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (- 0) into 0 3.666 * [backup-simplify]: Simplify (+ 0 0) into 0 3.667 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (- 0) into 0 3.667 * [backup-simplify]: Simplify (+ 0 0) into 0 3.669 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (- 0) into 0 3.669 * [backup-simplify]: Simplify (+ 0 0) into 0 3.671 * [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 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 3.671 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x)))))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 3.671 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 3.671 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 3.671 * [taylor]: Taking taylor expansion of -1 in x 3.671 * [backup-simplify]: Simplify -1 into -1 3.671 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 3.671 * [taylor]: Taking taylor expansion of x in x 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.671 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.671 * [taylor]: Taking taylor expansion of 1.0 in x 3.672 * [backup-simplify]: Simplify 1.0 into 1.0 3.672 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.672 * [taylor]: Taking taylor expansion of -1 in x 3.672 * [backup-simplify]: Simplify -1 into -1 3.672 * [taylor]: Taking taylor expansion of x in x 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (/ -1 1) into -1 3.672 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.672 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 3.672 * [taylor]: Taking taylor expansion of -1 in x 3.672 * [backup-simplify]: Simplify -1 into -1 3.672 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 3.672 * [taylor]: Taking taylor expansion of x in x 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.672 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.673 * [taylor]: Taking taylor expansion of 1.0 in x 3.673 * [backup-simplify]: Simplify 1.0 into 1.0 3.673 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.673 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.673 * [taylor]: Taking taylor expansion of -1 in x 3.673 * [backup-simplify]: Simplify -1 into -1 3.673 * [taylor]: Taking taylor expansion of x in x 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 1 into 1 3.673 * [backup-simplify]: Simplify (/ -1 1) into -1 3.673 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.673 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.674 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.674 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 3.674 * [backup-simplify]: Simplify (* -1 0) into 0 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify (- 0) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.675 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 3.676 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 3.676 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 3.676 * [backup-simplify]: Simplify (- 0) into 0 3.677 * [backup-simplify]: Simplify (+ 0 0) into 0 3.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 3.679 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (- 0) into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 3.683 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify (- 0) into 0 3.684 * [backup-simplify]: Simplify (+ 0 0) into 0 3.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 3.687 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 3.687 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify (- 0) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 3.691 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 3.691 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify (- 0) into 0 3.692 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 3.696 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (- 0) into 0 3.697 * [backup-simplify]: Simplify (+ 0 0) into 0 3.699 * [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 3.701 * [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 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 3.701 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.701 * [backup-simplify]: Simplify (/ (/ 1 (/ x (- 1.0 (cos x)))) x) into (/ (- 1.0 (cos x)) (pow x 2)) 3.701 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 3.701 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 3.701 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.701 * [taylor]: Taking taylor expansion of 1.0 in x 3.701 * [backup-simplify]: Simplify 1.0 into 1.0 3.701 * [taylor]: Taking taylor expansion of (cos x) in x 3.701 * [taylor]: Taking taylor expansion of x in x 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.701 * [taylor]: Taking taylor expansion of x in x 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.702 * [backup-simplify]: Simplify (- 1) into -1 3.702 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.702 * [backup-simplify]: Simplify (+ 0) into 0 3.702 * [backup-simplify]: Simplify (- 0) into 0 3.703 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.703 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.704 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.704 * [backup-simplify]: Simplify (* 1 1) into 1 3.704 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.704 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 3.704 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.704 * [taylor]: Taking taylor expansion of 1.0 in x 3.704 * [backup-simplify]: Simplify 1.0 into 1.0 3.704 * [taylor]: Taking taylor expansion of (cos x) in x 3.704 * [taylor]: Taking taylor expansion of x in x 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.704 * [taylor]: Taking taylor expansion of x in x 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (- 1) into -1 3.705 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.705 * [backup-simplify]: Simplify (+ 0) into 0 3.706 * [backup-simplify]: Simplify (- 0) into 0 3.706 * [backup-simplify]: Simplify (+ 0 0) into 0 3.707 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.707 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.708 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.708 * [backup-simplify]: Simplify (* 1 1) into 1 3.708 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.709 * [backup-simplify]: Simplify 1/2 into 1/2 3.710 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.710 * [backup-simplify]: Simplify (- 0) into 0 3.710 * [backup-simplify]: Simplify (+ 0 0) into 0 3.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.714 * [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 3.715 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.715 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.717 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 3.717 * [backup-simplify]: Simplify -1/24 into -1/24 3.719 * [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 3.719 * [backup-simplify]: Simplify (- 0) into 0 3.720 * [backup-simplify]: Simplify (+ 0 0) into 0 3.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify 0 into 0 3.726 * [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 3.727 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.727 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.730 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 3.730 * [backup-simplify]: Simplify 1/720 into 1/720 3.730 * [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))) 3.730 * [backup-simplify]: Simplify (/ (/ 1 (/ (/ 1 x) (- 1.0 (cos (/ 1 x))))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 3.730 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 3.730 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 3.730 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.730 * [taylor]: Taking taylor expansion of 1.0 in x 3.731 * [backup-simplify]: Simplify 1.0 into 1.0 3.731 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.731 * [taylor]: Taking taylor expansion of x in x 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.731 * [backup-simplify]: Simplify (/ 1 1) into 1 3.731 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.731 * [taylor]: Taking taylor expansion of x in x 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.731 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 3.731 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.731 * [taylor]: Taking taylor expansion of 1.0 in x 3.731 * [backup-simplify]: Simplify 1.0 into 1.0 3.731 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.731 * [taylor]: Taking taylor expansion of x in x 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify (/ 1 1) into 1 3.732 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.732 * [taylor]: Taking taylor expansion of x in x 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.732 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.733 * [backup-simplify]: Simplify (* 1 1) into 1 3.733 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 3.733 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.734 * [backup-simplify]: Simplify (- 0) into 0 3.734 * [backup-simplify]: Simplify (+ 0 0) into 0 3.735 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.736 * [backup-simplify]: Simplify (- 0) into 0 3.737 * [backup-simplify]: Simplify (+ 0 0) into 0 3.737 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 3.737 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.739 * [backup-simplify]: Simplify (- 0) into 0 3.739 * [backup-simplify]: Simplify (+ 0 0) into 0 3.740 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.741 * [backup-simplify]: Simplify (- 0) into 0 3.741 * [backup-simplify]: Simplify (+ 0 0) into 0 3.741 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.741 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.742 * [backup-simplify]: Simplify (- 0) into 0 3.743 * [backup-simplify]: Simplify (+ 0 0) into 0 3.743 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.743 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.744 * [backup-simplify]: Simplify (- 0) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 3.746 * [backup-simplify]: Simplify (/ (/ 1 (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x)))))) (/ 1 (- x))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 3.746 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 3.746 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 3.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.747 * [taylor]: Taking taylor expansion of x in x 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 1 into 1 3.747 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.747 * [taylor]: Taking taylor expansion of 1.0 in x 3.747 * [backup-simplify]: Simplify 1.0 into 1.0 3.747 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.747 * [taylor]: Taking taylor expansion of -1 in x 3.747 * [backup-simplify]: Simplify -1 into -1 3.747 * [taylor]: Taking taylor expansion of x in x 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (/ -1 1) into -1 3.747 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.747 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 3.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.747 * [taylor]: Taking taylor expansion of x in x 3.747 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 1 into 1 3.748 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.748 * [taylor]: Taking taylor expansion of 1.0 in x 3.748 * [backup-simplify]: Simplify 1.0 into 1.0 3.748 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.748 * [taylor]: Taking taylor expansion of -1 in x 3.748 * [backup-simplify]: Simplify -1 into -1 3.748 * [taylor]: Taking taylor expansion of x in x 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 1 into 1 3.748 * [backup-simplify]: Simplify (/ -1 1) into -1 3.748 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.749 * [backup-simplify]: Simplify (* 1 1) into 1 3.749 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.749 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.749 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.749 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 3.749 * [backup-simplify]: Simplify (- 0) into 0 3.750 * [backup-simplify]: Simplify (+ 0 0) into 0 3.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 3.750 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify (- 0) into 0 3.751 * [backup-simplify]: Simplify (+ 0 0) into 0 3.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify (- 0) into 0 3.752 * [backup-simplify]: Simplify (+ 0 0) into 0 3.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify (- 0) into 0 3.755 * [backup-simplify]: Simplify (+ 0 0) into 0 3.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify (- 0) into 0 3.757 * [backup-simplify]: Simplify (+ 0 0) into 0 3.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 3.759 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify (- 0) into 0 3.760 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 3.762 * * * [progress]: simplifying candidates 3.770 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log x) (log (- 1.0 (cos x)))) (log (/ x (- 1.0 (cos x)))) (exp (/ x (- 1.0 (cos x)))) (/ (* (* x x) x) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (cbrt (/ x (- 1.0 (cos x)))) (cbrt (/ x (- 1.0 (cos x))))) (cbrt (/ x (- 1.0 (cos x)))) (* (* (/ x (- 1.0 (cos x))) (/ x (- 1.0 (cos x)))) (/ x (- 1.0 (cos x)))) (sqrt (/ x (- 1.0 (cos x)))) (sqrt (/ x (- 1.0 (cos x)))) (- x) (- (- 1.0 (cos x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (cbrt x) (cbrt (- 1.0 (cos x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 (cos x)))) (/ (cbrt x) (sqrt (- 1.0 (cos x)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 (cos x))) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (cbrt x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 (cos x))) (/ (sqrt x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sqrt x) (cbrt (- 1.0 (cos x)))) (/ (sqrt x) (sqrt (- 1.0 (cos x)))) (/ (sqrt x) (sqrt (- 1.0 (cos x)))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 (cos x))) (/ (sqrt x) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 (cos x))) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ x (cbrt (- 1.0 (cos x)))) (/ 1 (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ 1 1) (/ x (- 1.0 (cos x))) (/ 1 (+ (sqrt 1.0) (sqrt (cos x)))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ 1 1) (/ x (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ x (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x 1) (/ x (+ (sqrt 1.0) (sqrt (cos x)))) (/ x 1) (/ (- 1.0 (cos x)) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (- (pow 1.0 3) 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(cbrt 1)) (sqrt (/ x (- 1.0 (cos x))))) (/ (cbrt 1) (sqrt (/ x (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt 1) (/ (cbrt x) (cbrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 (cos x))))) (/ (cbrt 1) (/ (cbrt x) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt 1) (/ (cbrt x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt (cos x))))) (/ (cbrt 1) (/ (cbrt x) (- (sqrt 1.0) (sqrt (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt 1) (/ (cbrt x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt 1) (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (/ (cbrt 1) (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) 1)) (/ (cbrt 1) (/ (sqrt x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt (cos x))))) (/ (cbrt 1) (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) 1)) (/ (cbrt 1) (/ (sqrt x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt 1) (/ x (cbrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (- 1.0 (cos x))))) (/ (cbrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ x (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (+ (sqrt 1.0) (sqrt (cos x))))) (/ (cbrt 1) (/ x (- (sqrt 1.0) (sqrt (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ x (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ x (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) x) (/ (cbrt 1) (/ 1 (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ x (- (pow 1.0 3) (pow (cos x) 3)))) (/ (cbrt 1) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ x (- (* 1.0 1.0) 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(cos x)))))) (/ x (/ 1 (/ x (sqrt (- 1.0 (cos x)))))) (/ x (/ 1 (/ x (- 1.0 (cos x))))) (/ x (/ 1 (/ x (- (sqrt 1.0) (sqrt (cos x)))))) (/ x (/ 1 (/ x (- 1.0 (cos x))))) (/ x (/ 1 (/ x (- 1.0 (cos x))))) (/ x (/ 1 (/ 1 (- 1.0 (cos x))))) (/ x (/ 1 (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (/ x (/ 1 (+ 1.0 (cos x)))) (/ x (/ 1 (/ x (- 1.0 (cos x))))) (/ x (/ 1 (/ x (- 1.0 (cos x))))) (/ x (- 1.0 (cos x))) (* x (/ 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)) (+ (* 1/6 x) (+ (* 1/120 (pow x 3)) (* 2 (/ 1 x)))) (/ x (- 1.0 (cos x))) (/ 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)) 3.785 * * [simplify]: iteration 0: 643 enodes 4.562 * * [simplify]: iteration 1: 1830 enodes 4.994 * * [simplify]: iteration complete: 5001 enodes 4.995 * * [simplify]: Extracting #0: cost 218 inf + 0 4.999 * * [simplify]: Extracting #1: cost 1375 inf + 11 5.008 * * [simplify]: Extracting #2: cost 1703 inf + 1463 5.018 * * [simplify]: Extracting #3: cost 1014 inf + 6953 5.028 * * [simplify]: Extracting #4: cost 306 inf + 14438 5.046 * * [simplify]: Extracting #5: cost 48 inf + 17121 5.057 * * [simplify]: Extracting #6: cost 3 inf + 17608 5.068 * * [simplify]: Extracting #7: cost 0 inf + 17651 5.089 * [simplify]: Simplified to: (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)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ x (- 1.0 (cos x)))) (log (/ x (- 1.0 (cos x)))) (exp (/ 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1/2 (* (* x x) 1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) 5.096 * * * [progress]: adding candidates to table 6.202 * * [progress]: iteration 4 / 4 6.203 * * * [progress]: picking best candidate 6.269 * * * * [pick]: Picked # 6.269 * * * [progress]: localizing error 6.286 * * * [progress]: generating rewritten candidates 6.286 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 6.293 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 6.306 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 6.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 6.401 * * * [progress]: generating series expansions 6.401 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 6.402 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 6.402 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.402 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.402 * [taylor]: Taking taylor expansion of 1.0 in x 6.402 * [backup-simplify]: Simplify 1.0 into 1.0 6.402 * [taylor]: Taking taylor expansion of (cos x) in x 6.402 * [taylor]: Taking taylor expansion of x in x 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.402 * [taylor]: Taking taylor expansion of 1.0 in x 6.402 * [backup-simplify]: Simplify 1.0 into 1.0 6.402 * [taylor]: Taking taylor expansion of (cos x) in x 6.402 * [taylor]: Taking taylor expansion of x in x 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [backup-simplify]: Simplify (- 1) into -1 6.403 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify (+ 0) into 0 6.403 * [backup-simplify]: Simplify (- 0) into 0 6.404 * [backup-simplify]: Simplify (+ 0 0) into 0 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.405 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.405 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.405 * [backup-simplify]: Simplify 1/2 into 1/2 6.406 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.406 * [backup-simplify]: Simplify (- 0) into 0 6.406 * [backup-simplify]: Simplify (+ 0 0) into 0 6.406 * [backup-simplify]: Simplify 0 into 0 6.408 * [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 6.408 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.408 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.408 * [backup-simplify]: Simplify -1/24 into -1/24 6.411 * [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 6.411 * [backup-simplify]: Simplify (- 0) into 0 6.411 * [backup-simplify]: Simplify (+ 0 0) into 0 6.411 * [backup-simplify]: Simplify 0 into 0 6.416 * [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 6.417 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.417 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.417 * [backup-simplify]: Simplify 1/720 into 1/720 6.418 * [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))) 6.418 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.418 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.418 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.418 * [taylor]: Taking taylor expansion of 1.0 in x 6.418 * [backup-simplify]: Simplify 1.0 into 1.0 6.418 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.418 * [taylor]: Taking taylor expansion of x in x 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 1 into 1 6.419 * [backup-simplify]: Simplify (/ 1 1) into 1 6.419 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.419 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.419 * [taylor]: Taking taylor expansion of 1.0 in x 6.419 * [backup-simplify]: Simplify 1.0 into 1.0 6.419 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.419 * [taylor]: Taking taylor expansion of x in x 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (/ 1 1) into 1 6.420 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.420 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.420 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.420 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.421 * [backup-simplify]: Simplify (- 0) into 0 6.421 * [backup-simplify]: Simplify (+ 0 0) into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify (- 0) into 0 6.422 * [backup-simplify]: Simplify (+ 0 0) into 0 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify (- 0) into 0 6.422 * [backup-simplify]: Simplify (+ 0 0) into 0 6.423 * [backup-simplify]: Simplify 0 into 0 6.423 * [backup-simplify]: Simplify (- 0) into 0 6.423 * [backup-simplify]: Simplify (+ 0 0) into 0 6.423 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify (- 0) into 0 6.432 * [backup-simplify]: Simplify (+ 0 0) into 0 6.432 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify (- 0) into 0 6.433 * [backup-simplify]: Simplify (+ 0 0) into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 6.434 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 6.434 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.434 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.434 * [taylor]: Taking taylor expansion of 1.0 in x 6.434 * [backup-simplify]: Simplify 1.0 into 1.0 6.434 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.434 * [taylor]: Taking taylor expansion of -1 in x 6.434 * [backup-simplify]: Simplify -1 into -1 6.434 * [taylor]: Taking taylor expansion of x in x 6.434 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify 1 into 1 6.434 * [backup-simplify]: Simplify (/ -1 1) into -1 6.435 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.435 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.435 * [taylor]: Taking taylor expansion of 1.0 in x 6.435 * [backup-simplify]: Simplify 1.0 into 1.0 6.435 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.435 * [taylor]: Taking taylor expansion of -1 in x 6.435 * [backup-simplify]: Simplify -1 into -1 6.435 * [taylor]: Taking taylor expansion of x in x 6.435 * [backup-simplify]: Simplify 0 into 0 6.435 * [backup-simplify]: Simplify 1 into 1 6.435 * [backup-simplify]: Simplify (/ -1 1) into -1 6.435 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.435 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.436 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.436 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 6.436 * [backup-simplify]: Simplify (- 0) into 0 6.436 * [backup-simplify]: Simplify (+ 0 0) into 0 6.436 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify (- 0) into 0 6.437 * [backup-simplify]: Simplify (+ 0 0) into 0 6.437 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify (- 0) into 0 6.438 * [backup-simplify]: Simplify (+ 0 0) into 0 6.438 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify (- 0) into 0 6.439 * [backup-simplify]: Simplify (+ 0 0) into 0 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify (- 0) into 0 6.439 * [backup-simplify]: Simplify (+ 0 0) into 0 6.439 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify (- 0) into 0 6.440 * [backup-simplify]: Simplify (+ 0 0) into 0 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 6.440 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 6.441 * [backup-simplify]: Simplify (/ x (- 1.0 (cos x))) into (/ x (- 1.0 (cos x))) 6.441 * [approximate]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in (x) around 0 6.441 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 6.441 * [taylor]: Taking taylor expansion of x in x 6.441 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify 1 into 1 6.441 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.441 * [taylor]: Taking taylor expansion of 1.0 in x 6.441 * [backup-simplify]: Simplify 1.0 into 1.0 6.441 * [taylor]: Taking taylor expansion of (cos x) in x 6.441 * [taylor]: Taking taylor expansion of x in x 6.441 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify 1 into 1 6.441 * [backup-simplify]: Simplify (- 1) into -1 6.442 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.442 * [backup-simplify]: Simplify (+ 0) into 0 6.442 * [backup-simplify]: Simplify (- 0) into 0 6.443 * [backup-simplify]: Simplify (+ 0 0) into 0 6.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.444 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.445 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.445 * [backup-simplify]: Simplify (/ 1 1/2) into 2 6.445 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 6.445 * [taylor]: Taking taylor expansion of x in x 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify 1 into 1 6.445 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.445 * [taylor]: Taking taylor expansion of 1.0 in x 6.445 * [backup-simplify]: Simplify 1.0 into 1.0 6.445 * [taylor]: Taking taylor expansion of (cos x) in x 6.445 * [taylor]: Taking taylor expansion of x in x 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify 1 into 1 6.446 * [backup-simplify]: Simplify (- 1) into -1 6.446 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.446 * [backup-simplify]: Simplify (+ 0) into 0 6.447 * [backup-simplify]: Simplify (- 0) into 0 6.447 * [backup-simplify]: Simplify (+ 0 0) into 0 6.448 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.448 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.449 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.449 * [backup-simplify]: Simplify (/ 1 1/2) into 2 6.449 * [backup-simplify]: Simplify 2 into 2 6.451 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.451 * [backup-simplify]: Simplify (- 0) into 0 6.451 * [backup-simplify]: Simplify (+ 0 0) into 0 6.452 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0 6.452 * [backup-simplify]: Simplify 0 into 0 6.453 * [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 6.454 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.454 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.455 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/6 6.455 * [backup-simplify]: Simplify 1/6 into 1/6 6.456 * [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 6.456 * [backup-simplify]: Simplify (- 0) into 0 6.456 * [backup-simplify]: Simplify (+ 0 0) into 0 6.457 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* 1/6 (/ 0 1/2)))) into 0 6.457 * [backup-simplify]: Simplify 0 into 0 6.460 * [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 6.460 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.460 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.461 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/720 1/2)) (* 0 (/ 0 1/2)) (* 1/6 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/120 6.461 * [backup-simplify]: Simplify 1/120 into 1/120 6.462 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 3)) (+ (* 1/6 x) (* 2 (/ 1 x)))) into (+ (* 1/6 x) (+ (* 1/120 (pow x 3)) (* 2 (/ 1 x)))) 6.462 * [backup-simplify]: Simplify (/ (/ 1 x) (- 1.0 (cos (/ 1 x)))) into (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) 6.462 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) in (x) around 0 6.462 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) in x 6.462 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 6.462 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.462 * [taylor]: Taking taylor expansion of 1.0 in x 6.462 * [backup-simplify]: Simplify 1.0 into 1.0 6.462 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.462 * [taylor]: Taking taylor expansion of x in x 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 1 into 1 6.462 * [backup-simplify]: Simplify (/ 1 1) into 1 6.462 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.462 * [taylor]: Taking taylor expansion of x in x 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 1 into 1 6.462 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.462 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.462 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 6.463 * [backup-simplify]: Simplify (- 0) into 0 6.463 * [backup-simplify]: Simplify (+ 0 0) into 0 6.463 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 6.463 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 6.463 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ 1 x))) x)) in x 6.463 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 6.463 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.463 * [taylor]: Taking taylor expansion of 1.0 in x 6.463 * [backup-simplify]: Simplify 1.0 into 1.0 6.463 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.464 * [taylor]: Taking taylor expansion of x in x 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [backup-simplify]: Simplify (/ 1 1) into 1 6.464 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.464 * [taylor]: Taking taylor expansion of x in x 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.464 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.464 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 6.464 * [backup-simplify]: Simplify (- 0) into 0 6.465 * [backup-simplify]: Simplify (+ 0 0) into 0 6.465 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 6.465 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 6.465 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 6.465 * [backup-simplify]: Simplify (- 0) into 0 6.466 * [backup-simplify]: Simplify (+ 0 0) into 0 6.466 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 6.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (- 0) into 0 6.467 * [backup-simplify]: Simplify (+ 0 0) into 0 6.467 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 6.467 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify (- 0) into 0 6.468 * [backup-simplify]: Simplify (+ 0 0) into 0 6.468 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.469 * [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 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify (- 0) into 0 6.469 * [backup-simplify]: Simplify (+ 0 0) into 0 6.470 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.470 * [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 6.470 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify (- 0) into 0 6.471 * [backup-simplify]: Simplify (+ 0 0) into 0 6.472 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.472 * [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 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify (- 0) into 0 6.473 * [backup-simplify]: Simplify (+ 0 0) into 0 6.473 * [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 6.474 * [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 6.474 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify (* (/ 1 (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 (/ 1 x))) into (/ x (- 1.0 (cos x))) 6.474 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x))))) into (/ -1 (* x (- 1.0 (cos (/ -1 x))))) 6.474 * [approximate]: Taking taylor expansion of (/ -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 6.474 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (cos (/ -1 x))))) in x 6.474 * [taylor]: Taking taylor expansion of -1 in x 6.474 * [backup-simplify]: Simplify -1 into -1 6.474 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 6.474 * [taylor]: Taking taylor expansion of x in x 6.474 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify 1 into 1 6.474 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.474 * [taylor]: Taking taylor expansion of 1.0 in x 6.474 * [backup-simplify]: Simplify 1.0 into 1.0 6.474 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.474 * [taylor]: Taking taylor expansion of -1 in x 6.474 * [backup-simplify]: Simplify -1 into -1 6.474 * [taylor]: Taking taylor expansion of x in x 6.474 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify 1 into 1 6.475 * [backup-simplify]: Simplify (/ -1 1) into -1 6.475 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.475 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.475 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.475 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 6.475 * [backup-simplify]: Simplify (- 0) into 0 6.475 * [backup-simplify]: Simplify (+ 0 0) into 0 6.476 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 6.476 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 6.476 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (cos (/ -1 x))))) in x 6.476 * [taylor]: Taking taylor expansion of -1 in x 6.476 * [backup-simplify]: Simplify -1 into -1 6.476 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 6.476 * [taylor]: Taking taylor expansion of x in x 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 1 into 1 6.476 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.476 * [taylor]: Taking taylor expansion of 1.0 in x 6.476 * [backup-simplify]: Simplify 1.0 into 1.0 6.476 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.476 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.476 * [taylor]: Taking taylor expansion of -1 in x 6.476 * [backup-simplify]: Simplify -1 into -1 6.476 * [taylor]: Taking taylor expansion of x in x 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 1 into 1 6.476 * [backup-simplify]: Simplify (/ -1 1) into -1 6.476 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.476 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.476 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.476 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 6.477 * [backup-simplify]: Simplify (- 0) into 0 6.477 * [backup-simplify]: Simplify (+ 0 0) into 0 6.477 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 6.477 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 6.477 * [backup-simplify]: Simplify (/ -1 (- 1.0 (cos (/ -1 x)))) into (/ -1 (- 1.0 (cos (/ -1 x)))) 6.478 * [backup-simplify]: Simplify (- 0) into 0 6.478 * [backup-simplify]: Simplify (+ 0 0) into 0 6.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 6.479 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify (- 0) into 0 6.479 * [backup-simplify]: Simplify (+ 0 0) into 0 6.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.480 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.480 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify (- 0) into 0 6.481 * [backup-simplify]: Simplify (+ 0 0) into 0 6.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 6.482 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -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 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify (- 0) into 0 6.482 * [backup-simplify]: Simplify (+ 0 0) into 0 6.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 6.484 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -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 6.484 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify (- 0) into 0 6.485 * [backup-simplify]: Simplify (+ 0 0) into 0 6.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 6.488 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -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 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify (- 0) into 0 6.489 * [backup-simplify]: Simplify (+ 0 0) into 0 6.491 * [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 6.492 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ -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 6.492 * [backup-simplify]: Simplify 0 into 0 6.492 * [backup-simplify]: Simplify (* (/ -1 (- 1.0 (cos (/ -1 (/ 1 (- x)))))) (/ 1 (/ 1 (- x)))) into (/ x (- 1.0 (cos x))) 6.493 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.493 * [backup-simplify]: Simplify (/ 1 (/ x (- 1.0 (cos x)))) into (/ (- 1.0 (cos x)) x) 6.493 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 6.493 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 6.493 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.493 * [taylor]: Taking taylor expansion of 1.0 in x 6.493 * [backup-simplify]: Simplify 1.0 into 1.0 6.493 * [taylor]: Taking taylor expansion of (cos x) in x 6.493 * [taylor]: Taking taylor expansion of x in x 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.493 * [taylor]: Taking taylor expansion of x in x 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.493 * [backup-simplify]: Simplify (- 1) into -1 6.494 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.494 * [backup-simplify]: Simplify (+ 0) into 0 6.495 * [backup-simplify]: Simplify (- 0) into 0 6.495 * [backup-simplify]: Simplify (+ 0 0) into 0 6.496 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.496 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.497 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.497 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.497 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 6.497 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.497 * [taylor]: Taking taylor expansion of 1.0 in x 6.497 * [backup-simplify]: Simplify 1.0 into 1.0 6.497 * [taylor]: Taking taylor expansion of (cos x) in x 6.497 * [taylor]: Taking taylor expansion of x in x 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 1 into 1 6.497 * [taylor]: Taking taylor expansion of x in x 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 1 into 1 6.498 * [backup-simplify]: Simplify (- 1) into -1 6.498 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.499 * [backup-simplify]: Simplify (+ 0) into 0 6.499 * [backup-simplify]: Simplify (- 0) into 0 6.499 * [backup-simplify]: Simplify (+ 0 0) into 0 6.500 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.500 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.500 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.501 * [backup-simplify]: Simplify 1/2 into 1/2 6.501 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.502 * [backup-simplify]: Simplify (- 0) into 0 6.502 * [backup-simplify]: Simplify (+ 0 0) into 0 6.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.502 * [backup-simplify]: Simplify 0 into 0 6.504 * [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 6.504 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.504 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.505 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 6.505 * [backup-simplify]: Simplify -1/24 into -1/24 6.506 * [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 6.507 * [backup-simplify]: Simplify (- 0) into 0 6.507 * [backup-simplify]: Simplify (+ 0 0) into 0 6.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 6.508 * [backup-simplify]: Simplify 0 into 0 6.510 * [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 6.510 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.511 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.512 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 6.512 * [backup-simplify]: Simplify 1/720 into 1/720 6.512 * [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))) 6.512 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 x) (- 1.0 (cos (/ 1 x))))) into (* (- 1.0 (cos (/ 1 x))) x) 6.512 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 6.512 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 6.512 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.512 * [taylor]: Taking taylor expansion of 1.0 in x 6.512 * [backup-simplify]: Simplify 1.0 into 1.0 6.512 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.512 * [taylor]: Taking taylor expansion of x in x 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify (/ 1 1) into 1 6.513 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.513 * [taylor]: Taking taylor expansion of x in x 6.513 * [backup-simplify]: Simplify 0 into 0 6.513 * [backup-simplify]: Simplify 1 into 1 6.513 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 6.513 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.513 * [taylor]: Taking taylor expansion of 1.0 in x 6.513 * [backup-simplify]: Simplify 1.0 into 1.0 6.513 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.513 * [taylor]: Taking taylor expansion of x in x 6.513 * [backup-simplify]: Simplify 0 into 0 6.513 * [backup-simplify]: Simplify 1 into 1 6.513 * [backup-simplify]: Simplify (/ 1 1) into 1 6.513 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.513 * [taylor]: Taking taylor expansion of x in x 6.513 * [backup-simplify]: Simplify 0 into 0 6.513 * [backup-simplify]: Simplify 1 into 1 6.513 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.513 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.513 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 6.513 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify (- 0) into 0 6.514 * [backup-simplify]: Simplify (+ 0 0) into 0 6.514 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 6.514 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.514 * [backup-simplify]: Simplify (- 0) into 0 6.515 * [backup-simplify]: Simplify (+ 0 0) into 0 6.515 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 6.515 * [backup-simplify]: Simplify 0 into 0 6.515 * [backup-simplify]: Simplify (- 0) into 0 6.516 * [backup-simplify]: Simplify (+ 0 0) into 0 6.516 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.516 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify (- 0) into 0 6.517 * [backup-simplify]: Simplify (+ 0 0) into 0 6.517 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify (- 0) into 0 6.518 * [backup-simplify]: Simplify (+ 0 0) into 0 6.518 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.518 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify (- 0) into 0 6.519 * [backup-simplify]: Simplify (+ 0 0) into 0 6.520 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify (- 0) into 0 6.520 * [backup-simplify]: Simplify (+ 0 0) into 0 6.521 * [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 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 6.521 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x)))))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 6.521 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 6.521 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 6.521 * [taylor]: Taking taylor expansion of -1 in x 6.521 * [backup-simplify]: Simplify -1 into -1 6.521 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.522 * [taylor]: Taking taylor expansion of 1.0 in x 6.522 * [backup-simplify]: Simplify 1.0 into 1.0 6.522 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.522 * [taylor]: Taking taylor expansion of -1 in x 6.522 * [backup-simplify]: Simplify -1 into -1 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify (/ -1 1) into -1 6.522 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.522 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 6.522 * [taylor]: Taking taylor expansion of -1 in x 6.522 * [backup-simplify]: Simplify -1 into -1 6.522 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.522 * [taylor]: Taking taylor expansion of 1.0 in x 6.522 * [backup-simplify]: Simplify 1.0 into 1.0 6.522 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.522 * [taylor]: Taking taylor expansion of -1 in x 6.522 * [backup-simplify]: Simplify -1 into -1 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.523 * [backup-simplify]: Simplify (/ -1 1) into -1 6.523 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.523 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.523 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.523 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 6.523 * [backup-simplify]: Simplify (* -1 0) into 0 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify (- 0) into 0 6.524 * [backup-simplify]: Simplify (+ 0 0) into 0 6.524 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 6.524 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 6.524 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 6.525 * [backup-simplify]: Simplify (- 0) into 0 6.525 * [backup-simplify]: Simplify (+ 0 0) into 0 6.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 6.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify (- 0) into 0 6.526 * [backup-simplify]: Simplify (+ 0 0) into 0 6.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.528 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 6.528 * [backup-simplify]: Simplify 0 into 0 6.529 * [backup-simplify]: Simplify (- 0) into 0 6.529 * [backup-simplify]: Simplify (+ 0 0) into 0 6.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 6.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 6.532 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify (- 0) into 0 6.539 * [backup-simplify]: Simplify (+ 0 0) into 0 6.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 6.544 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 6.544 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify (- 0) into 0 6.544 * [backup-simplify]: Simplify (+ 0 0) into 0 6.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 6.549 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 6.549 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify (- 0) into 0 6.550 * [backup-simplify]: Simplify (+ 0 0) into 0 6.553 * [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 6.555 * [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 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 6.556 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.556 * [backup-simplify]: Simplify (/ (/ 1 (/ x (- 1.0 (cos x)))) x) into (/ (- 1.0 (cos x)) (pow x 2)) 6.556 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 6.556 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 6.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.556 * [taylor]: Taking taylor expansion of 1.0 in x 6.556 * [backup-simplify]: Simplify 1.0 into 1.0 6.556 * [taylor]: Taking taylor expansion of (cos x) in x 6.556 * [taylor]: Taking taylor expansion of x in x 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.556 * [taylor]: Taking taylor expansion of x in x 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 1 into 1 6.557 * [backup-simplify]: Simplify (- 1) into -1 6.557 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.558 * [backup-simplify]: Simplify (+ 0) into 0 6.558 * [backup-simplify]: Simplify (- 0) into 0 6.558 * [backup-simplify]: Simplify (+ 0 0) into 0 6.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.560 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.560 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.560 * [backup-simplify]: Simplify (* 1 1) into 1 6.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.561 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 6.561 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.561 * [taylor]: Taking taylor expansion of 1.0 in x 6.561 * [backup-simplify]: Simplify 1.0 into 1.0 6.561 * [taylor]: Taking taylor expansion of (cos x) in x 6.561 * [taylor]: Taking taylor expansion of x in x 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify 1 into 1 6.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.561 * [taylor]: Taking taylor expansion of x in x 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify 1 into 1 6.562 * [backup-simplify]: Simplify (- 1) into -1 6.562 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.562 * [backup-simplify]: Simplify (+ 0) into 0 6.563 * [backup-simplify]: Simplify (- 0) into 0 6.563 * [backup-simplify]: Simplify (+ 0 0) into 0 6.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.565 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.565 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.565 * [backup-simplify]: Simplify (* 1 1) into 1 6.566 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.566 * [backup-simplify]: Simplify 1/2 into 1/2 6.567 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.568 * [backup-simplify]: Simplify (- 0) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.573 * [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 6.573 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.574 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.576 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 6.577 * [backup-simplify]: Simplify -1/24 into -1/24 6.579 * [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 6.580 * [backup-simplify]: Simplify (- 0) into 0 6.580 * [backup-simplify]: Simplify (+ 0 0) into 0 6.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 6.583 * [backup-simplify]: Simplify 0 into 0 6.589 * [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 6.590 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.590 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.593 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 6.593 * [backup-simplify]: Simplify 1/720 into 1/720 6.593 * [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))) 6.594 * [backup-simplify]: Simplify (/ (/ 1 (/ (/ 1 x) (- 1.0 (cos (/ 1 x))))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 6.594 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 6.594 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 6.594 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.594 * [taylor]: Taking taylor expansion of 1.0 in x 6.594 * [backup-simplify]: Simplify 1.0 into 1.0 6.594 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.594 * [taylor]: Taking taylor expansion of x in x 6.594 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify 1 into 1 6.594 * [backup-simplify]: Simplify (/ 1 1) into 1 6.594 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.594 * [taylor]: Taking taylor expansion of x in x 6.594 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify 1 into 1 6.594 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 6.594 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.594 * [taylor]: Taking taylor expansion of 1.0 in x 6.595 * [backup-simplify]: Simplify 1.0 into 1.0 6.595 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.595 * [taylor]: Taking taylor expansion of x in x 6.595 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify 1 into 1 6.595 * [backup-simplify]: Simplify (/ 1 1) into 1 6.595 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.595 * [taylor]: Taking taylor expansion of x in x 6.595 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify 1 into 1 6.595 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.595 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.596 * [backup-simplify]: Simplify (* 1 1) into 1 6.596 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 6.596 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.597 * [backup-simplify]: Simplify (- 0) into 0 6.597 * [backup-simplify]: Simplify (+ 0 0) into 0 6.598 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 6.598 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.599 * [backup-simplify]: Simplify (- 0) into 0 6.599 * [backup-simplify]: Simplify (+ 0 0) into 0 6.600 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 6.600 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.602 * [backup-simplify]: Simplify (- 0) into 0 6.602 * [backup-simplify]: Simplify (+ 0 0) into 0 6.603 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.603 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.605 * [backup-simplify]: Simplify (- 0) into 0 6.605 * [backup-simplify]: Simplify (+ 0 0) into 0 6.606 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.606 * [backup-simplify]: Simplify 0 into 0 6.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.608 * [backup-simplify]: Simplify (- 0) into 0 6.608 * [backup-simplify]: Simplify (+ 0 0) into 0 6.609 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.609 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.611 * [backup-simplify]: Simplify (- 0) into 0 6.612 * [backup-simplify]: Simplify (+ 0 0) into 0 6.613 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 6.614 * [backup-simplify]: Simplify (/ (/ 1 (/ (/ 1 (- x)) (- 1.0 (cos (/ 1 (- x)))))) (/ 1 (- x))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 6.614 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 6.614 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 6.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.614 * [taylor]: Taking taylor expansion of x in x 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify 1 into 1 6.614 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.614 * [taylor]: Taking taylor expansion of 1.0 in x 6.614 * [backup-simplify]: Simplify 1.0 into 1.0 6.614 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.614 * [taylor]: Taking taylor expansion of -1 in x 6.614 * [backup-simplify]: Simplify -1 into -1 6.614 * [taylor]: Taking taylor expansion of x in x 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify 1 into 1 6.615 * [backup-simplify]: Simplify (/ -1 1) into -1 6.615 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.615 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 6.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.615 * [taylor]: Taking taylor expansion of x in x 6.615 * [backup-simplify]: Simplify 0 into 0 6.615 * [backup-simplify]: Simplify 1 into 1 6.615 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.615 * [taylor]: Taking taylor expansion of 1.0 in x 6.615 * [backup-simplify]: Simplify 1.0 into 1.0 6.615 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.615 * [taylor]: Taking taylor expansion of -1 in x 6.615 * [backup-simplify]: Simplify -1 into -1 6.615 * [taylor]: Taking taylor expansion of x in x 6.615 * [backup-simplify]: Simplify 0 into 0 6.615 * [backup-simplify]: Simplify 1 into 1 6.616 * [backup-simplify]: Simplify (/ -1 1) into -1 6.616 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.616 * [backup-simplify]: Simplify (* 1 1) into 1 6.616 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.616 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.617 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.617 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 6.617 * [backup-simplify]: Simplify (- 0) into 0 6.617 * [backup-simplify]: Simplify (+ 0 0) into 0 6.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 6.619 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify (- 0) into 0 6.619 * [backup-simplify]: Simplify (+ 0 0) into 0 6.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 6.621 * [backup-simplify]: Simplify 0 into 0 6.622 * [backup-simplify]: Simplify (- 0) into 0 6.622 * [backup-simplify]: Simplify (+ 0 0) into 0 6.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.624 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify (- 0) into 0 6.625 * [backup-simplify]: Simplify (+ 0 0) into 0 6.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify (- 0) into 0 6.629 * [backup-simplify]: Simplify (+ 0 0) into 0 6.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 6.632 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify (- 0) into 0 6.633 * [backup-simplify]: Simplify (+ 0 0) into 0 6.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 6.637 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 6.637 * * * [progress]: simplifying candidates 6.653 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log x) (log (- 1.0 (cos x)))) (log (/ x (- 1.0 (cos x)))) (exp (/ x (- 1.0 (cos x)))) (/ (* (* x x) x) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (cbrt (/ x (- 1.0 (cos x)))) (cbrt (/ x (- 1.0 (cos x))))) (cbrt (/ x (- 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1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/6 x) (+ (* 1/120 (pow x 3)) (* 2 (/ 1 x)))) (/ x (- 1.0 (cos x))) (/ 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)) 6.665 * * [simplify]: iteration 0: 643 enodes 7.409 * * [simplify]: iteration 1: 1830 enodes 7.861 * * [simplify]: iteration complete: 5001 enodes 7.861 * * [simplify]: Extracting #0: cost 218 inf + 0 7.866 * * [simplify]: Extracting #1: cost 1375 inf + 11 7.884 * * [simplify]: Extracting #2: cost 1703 inf + 1463 7.890 * * [simplify]: Extracting #3: cost 1014 inf + 6953 7.896 * * [simplify]: Extracting #4: cost 306 inf + 14438 7.902 * * [simplify]: Extracting #5: cost 48 inf + 17121 7.908 * * [simplify]: Extracting #6: cost 3 inf + 17608 7.914 * * [simplify]: Extracting #7: cost 0 inf + 17651 7.926 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) 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(/ (* x (cbrt x)) (- 1.0 (cos x))) (/ (* x (sqrt x)) (cbrt (- 1.0 (cos x)))) (* x (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ (* x (sqrt x)) (- (sqrt 1.0) (sqrt (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) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (/ x (- 1.0 (cos x))) (* x (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (* x (+ (cos x) 1.0)) (* x (cbrt (/ x (- 1.0 (cos x))))) (* x (sqrt (/ x (- 1.0 (cos x))))) (/ (* x (cbrt x)) (cbrt (- 1.0 (cos x)))) (/ (* x (cbrt x)) (sqrt (- 1.0 (cos x)))) (/ (* x (cbrt x)) (- 1.0 (cos x))) (/ (* x (cbrt x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x (cbrt x)) (- 1.0 (cos x))) (/ (* x (sqrt x)) (cbrt (- 1.0 (cos x)))) (* x (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ (* x (sqrt x)) (- (sqrt 1.0) (sqrt (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) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (/ x (- 1.0 (cos x))) (* x (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (* x (+ (cos x) 1.0)) (* x (cbrt (/ x (- 1.0 (cos x))))) (* x (sqrt (/ x (- 1.0 (cos x))))) (/ (* x (cbrt x)) (cbrt (- 1.0 (cos x)))) (/ (* x (cbrt x)) (sqrt (- 1.0 (cos x)))) (/ (* x (cbrt x)) (- 1.0 (cos x))) (/ (* x (cbrt x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x (cbrt x)) (- 1.0 (cos x))) (/ (* x (sqrt x)) (cbrt (- 1.0 (cos x)))) (* x (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ (* x (sqrt x)) (- (sqrt 1.0) (sqrt (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) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (/ x (- 1.0 (cos x))) (* x (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (* x (+ (cos x) 1.0)) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (/ x (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (+ (* (pow x 6) 1/720) (- (* 1/2 (* x x)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (+ (* x 1/6) (/ 2 x)) (* (pow x 3) 1/120)) (/ x (- 1.0 (cos x))) (/ x (- 1.0 (cos x))) (+ (* 1/720 (pow x 5)) (- (* 1/2 x) (* (pow x 3) 1/24))) (/ (- 1.0 (cos x)) x) (/ (- (- (cos x) 1.0)) x) (+ (* (pow x 4) 1/720) (- 1/2 (* (* x x) 1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) 7.930 * * * [progress]: adding candidates to table 9.152 * [progress]: [Phase 3 of 3] Extracting. 9.152 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 9.156 * * * [regime-changes]: Trying 1 branch expressions: (x) 9.156 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 9.293 * * * [regime]: Found split indices: #