18.641 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.104 * * * [progress]: [2/2] Setting up program. 0.109 * [progress]: [Phase 2 of 3] Improving. 0.109 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.109 * * [simplify]: iteration 0: 6 enodes 0.112 * * [simplify]: iteration 1: 13 enodes 0.116 * * [simplify]: iteration 2: 21 enodes 0.121 * * [simplify]: iteration 3: 26 enodes 0.127 * * [simplify]: iteration 4: 28 enodes 0.133 * * [simplify]: iteration complete: 28 enodes 0.133 * * [simplify]: Extracting #0: cost 1 inf + 0 0.133 * * [simplify]: Extracting #1: cost 8 inf + 0 0.133 * * [simplify]: Extracting #2: cost 12 inf + 42 0.133 * * [simplify]: Extracting #3: cost 6 inf + 588 0.133 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.134 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.135 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.140 * * * * [pick]: Picked # 0.140 * * * [progress]: localizing error 0.157 * * * [progress]: generating rewritten candidates 0.157 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.178 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.185 * * * [progress]: generating series expansions 0.185 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.189 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.189 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.190 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [taylor]: Taking taylor expansion of (cos x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (- 1) into -1 0.192 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.192 * [backup-simplify]: Simplify (+ 0) into 0 0.193 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.194 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.194 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.195 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.195 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [taylor]: Taking taylor expansion of (cos x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (- 1) into -1 0.195 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.196 * [backup-simplify]: Simplify (+ 0) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.205 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.206 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.208 * [backup-simplify]: Simplify 1/2 into 1/2 0.209 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.216 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.216 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.219 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.219 * [backup-simplify]: Simplify -1/24 into -1/24 0.221 * [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 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.230 * [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 0.230 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.231 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.234 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.234 * [backup-simplify]: Simplify 1/720 into 1/720 0.236 * [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))) 0.236 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 0.236 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [backup-simplify]: Simplify 1.0 into 1.0 0.236 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [backup-simplify]: Simplify 1.0 into 1.0 0.237 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.238 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 0.239 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.257 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 0.257 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [backup-simplify]: Simplify 1.0 into 1.0 0.257 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.257 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.257 * [taylor]: Taking taylor expansion of -1 in x 0.257 * [backup-simplify]: Simplify -1 into -1 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ -1 1) into -1 0.258 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.258 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.258 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.258 * [taylor]: Taking taylor expansion of -1 in x 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ -1 1) into -1 0.259 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.260 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.260 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.260 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.280 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.281 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.281 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [backup-simplify]: Simplify 1.0 into 1.0 0.281 * [taylor]: Taking taylor expansion of (cos x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [backup-simplify]: Simplify 1.0 into 1.0 0.281 * [taylor]: Taking taylor expansion of (cos x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (+ 0) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.285 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.285 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.285 * [backup-simplify]: Simplify 1/2 into 1/2 0.286 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.290 * [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 0.290 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.291 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.291 * [backup-simplify]: Simplify -1/24 into -1/24 0.293 * [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 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.299 * [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 0.299 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.300 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.300 * [backup-simplify]: Simplify 1/720 into 1/720 0.301 * [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))) 0.301 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.301 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.301 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [backup-simplify]: Simplify 1.0 into 1.0 0.301 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.303 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.303 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.303 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.308 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.308 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [backup-simplify]: Simplify 1.0 into 1.0 0.308 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.308 * [taylor]: Taking taylor expansion of -1 in x 0.308 * [backup-simplify]: Simplify -1 into -1 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ -1 1) into -1 0.309 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.309 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [backup-simplify]: Simplify 1.0 into 1.0 0.309 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.309 * [taylor]: Taking taylor expansion of -1 in x 0.309 * [backup-simplify]: Simplify -1 into -1 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ -1 1) into -1 0.310 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.310 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.310 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.310 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.315 * * * [progress]: simplifying candidates 0.317 * [simplify]: Simplifying: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.319 * * [simplify]: iteration 0: 116 enodes 0.380 * * [simplify]: iteration 1: 290 enodes 0.541 * * [simplify]: iteration 2: 936 enodes 1.440 * * [simplify]: iteration 3: 4103 enodes 2.637 * * [simplify]: iteration complete: 5000 enodes 2.638 * * [simplify]: Extracting #0: cost 47 inf + 0 2.641 * * [simplify]: Extracting #1: cost 660 inf + 0 2.651 * * [simplify]: Extracting #2: cost 1059 inf + 18563 2.682 * * [simplify]: Extracting #3: cost 322 inf + 157882 2.762 * * [simplify]: Extracting #4: cost 11 inf + 234218 2.817 * * [simplify]: Extracting #5: cost 0 inf + 236150 2.897 * * [simplify]: Extracting #6: cost 0 inf + 236070 3.001 * [simplify]: Simplified to: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (* x (- x)) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (cbrt (- 1.0 (cos x))) (/ x (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (fma (cos x) (cos x) (* 1.0 (+ 1.0 (cos x))))) (* (* x x) (+ (cos x) 1.0)) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))) (fma (cos x) (cos x) (* 1.0 (+ 1.0 (cos x)))) (- (cos x)) (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (fma (* x x) (* 1/720 (* x x)) (fma -1/24 (* x x) 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (fma 1/720 (* (* x (* x x)) (* x (* x x))) (* (* x x) (- 1/2 (* 1/24 (* x x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) 3.004 * * * [progress]: adding candidates to table 3.252 * * [progress]: iteration 2 / 4 3.252 * * * [progress]: picking best candidate 3.287 * * * * [pick]: Picked # 3.287 * * * [progress]: localizing error 3.306 * * * [progress]: generating rewritten candidates 3.306 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 3.312 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 3.355 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 3.374 * * * [progress]: generating series expansions 3.374 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 3.374 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 3.374 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.374 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.374 * [taylor]: Taking taylor expansion of 1.0 in x 3.374 * [backup-simplify]: Simplify 1.0 into 1.0 3.374 * [taylor]: Taking taylor expansion of (cos x) in x 3.374 * [taylor]: Taking taylor expansion of x in x 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 1 into 1 3.374 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.374 * [taylor]: Taking taylor expansion of 1.0 in x 3.374 * [backup-simplify]: Simplify 1.0 into 1.0 3.374 * [taylor]: Taking taylor expansion of (cos x) in x 3.374 * [taylor]: Taking taylor expansion of x in x 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 1 into 1 3.375 * [backup-simplify]: Simplify (- 1) into -1 3.375 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (+ 0) into 0 3.376 * [backup-simplify]: Simplify (- 0) into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.379 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.380 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.380 * [backup-simplify]: Simplify 1/2 into 1/2 3.380 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.381 * [backup-simplify]: Simplify (- 0) into 0 3.381 * [backup-simplify]: Simplify (+ 0 0) into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.382 * [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 3.383 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.383 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.383 * [backup-simplify]: Simplify -1/24 into -1/24 3.384 * [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 3.384 * [backup-simplify]: Simplify (- 0) into 0 3.385 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.387 * [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 3.388 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.388 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.388 * [backup-simplify]: Simplify 1/720 into 1/720 3.388 * [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))) 3.388 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.388 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.388 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.389 * [taylor]: Taking taylor expansion of 1.0 in x 3.389 * [backup-simplify]: Simplify 1.0 into 1.0 3.389 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.389 * [taylor]: Taking taylor expansion of x in x 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (/ 1 1) into 1 3.389 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.389 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.389 * [taylor]: Taking taylor expansion of 1.0 in x 3.389 * [backup-simplify]: Simplify 1.0 into 1.0 3.389 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.389 * [taylor]: Taking taylor expansion of x in x 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (/ 1 1) into 1 3.389 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.389 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.390 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.390 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.390 * [backup-simplify]: Simplify (- 0) into 0 3.390 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify (- 0) into 0 3.391 * [backup-simplify]: Simplify (+ 0 0) into 0 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (- 0) into 0 3.391 * [backup-simplify]: Simplify (+ 0 0) into 0 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (- 0) into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify (- 0) into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify (- 0) into 0 3.393 * [backup-simplify]: Simplify (+ 0 0) into 0 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 3.393 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 3.393 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.393 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.393 * [taylor]: Taking taylor expansion of 1.0 in x 3.393 * [backup-simplify]: Simplify 1.0 into 1.0 3.393 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.393 * [taylor]: Taking taylor expansion of -1 in x 3.393 * [backup-simplify]: Simplify -1 into -1 3.393 * [taylor]: Taking taylor expansion of x in x 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (/ -1 1) into -1 3.393 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.393 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.393 * [taylor]: Taking taylor expansion of 1.0 in x 3.393 * [backup-simplify]: Simplify 1.0 into 1.0 3.393 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.393 * [taylor]: Taking taylor expansion of -1 in x 3.393 * [backup-simplify]: Simplify -1 into -1 3.393 * [taylor]: Taking taylor expansion of x in x 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.394 * [backup-simplify]: Simplify (/ -1 1) into -1 3.394 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.394 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.394 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.394 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 3.394 * [backup-simplify]: Simplify (- 0) into 0 3.395 * [backup-simplify]: Simplify (+ 0 0) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (- 0) into 0 3.395 * [backup-simplify]: Simplify (+ 0 0) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (- 0) into 0 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (- 0) into 0 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (- 0) into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (- 0) into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 3.397 * * * * [progress]: [ 2 / 3 ] generating series at (2) 3.397 * [backup-simplify]: Simplify (* (/ 1 x) (/ (- 1.0 (cos x)) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 3.397 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 3.397 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 3.397 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.397 * [taylor]: Taking taylor expansion of 1.0 in x 3.397 * [backup-simplify]: Simplify 1.0 into 1.0 3.398 * [taylor]: Taking taylor expansion of (cos x) in x 3.398 * [taylor]: Taking taylor expansion of x in x 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.398 * [taylor]: Taking taylor expansion of x in x 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.398 * [backup-simplify]: Simplify (- 1) into -1 3.398 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.398 * [backup-simplify]: Simplify (+ 0) into 0 3.399 * [backup-simplify]: Simplify (- 0) into 0 3.399 * [backup-simplify]: Simplify (+ 0 0) into 0 3.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.400 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.400 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.400 * [backup-simplify]: Simplify (* 1 1) into 1 3.400 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.400 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 3.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.401 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [backup-simplify]: Simplify 1.0 into 1.0 3.401 * [taylor]: Taking taylor expansion of (cos x) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (- 1) into -1 3.401 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.401 * [backup-simplify]: Simplify (+ 0) into 0 3.402 * [backup-simplify]: Simplify (- 0) into 0 3.402 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.403 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.403 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.403 * [backup-simplify]: Simplify (* 1 1) into 1 3.404 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.404 * [backup-simplify]: Simplify 1/2 into 1/2 3.404 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.405 * [backup-simplify]: Simplify (- 0) into 0 3.405 * [backup-simplify]: Simplify (+ 0 0) into 0 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.407 * [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 3.408 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.408 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.409 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 3.409 * [backup-simplify]: Simplify -1/24 into -1/24 3.410 * [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 3.411 * [backup-simplify]: Simplify (- 0) into 0 3.411 * [backup-simplify]: Simplify (+ 0 0) into 0 3.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 3.412 * [backup-simplify]: Simplify 0 into 0 3.415 * [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 3.415 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.416 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.417 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 3.417 * [backup-simplify]: Simplify 1/720 into 1/720 3.418 * [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))) 3.418 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (/ (- 1.0 (cos (/ 1 x))) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 3.418 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 3.418 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 3.418 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.418 * [taylor]: Taking taylor expansion of 1.0 in x 3.418 * [backup-simplify]: Simplify 1.0 into 1.0 3.418 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.419 * [taylor]: Taking taylor expansion of x in x 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (/ 1 1) into 1 3.419 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.419 * [taylor]: Taking taylor expansion of x in x 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 3.419 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.419 * [taylor]: Taking taylor expansion of 1.0 in x 3.419 * [backup-simplify]: Simplify 1.0 into 1.0 3.420 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.420 * [taylor]: Taking taylor expansion of x in x 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (/ 1 1) into 1 3.420 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.420 * [taylor]: Taking taylor expansion of x in x 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.421 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.421 * [backup-simplify]: Simplify (* 1 1) into 1 3.421 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 3.421 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.422 * [backup-simplify]: Simplify (- 0) into 0 3.423 * [backup-simplify]: Simplify (+ 0 0) into 0 3.423 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 3.423 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.425 * [backup-simplify]: Simplify (- 0) into 0 3.425 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (- 0) into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.431 * [backup-simplify]: Simplify (- 0) into 0 3.431 * [backup-simplify]: Simplify (+ 0 0) into 0 3.432 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.435 * [backup-simplify]: Simplify (- 0) into 0 3.435 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.437 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.439 * [backup-simplify]: Simplify (- 0) into 0 3.439 * [backup-simplify]: Simplify (+ 0 0) into 0 3.441 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 3.441 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 3.441 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 3.441 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 3.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.441 * [taylor]: Taking taylor expansion of x in x 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.442 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.442 * [taylor]: Taking taylor expansion of 1.0 in x 3.442 * [backup-simplify]: Simplify 1.0 into 1.0 3.442 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.442 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.442 * [taylor]: Taking taylor expansion of -1 in x 3.442 * [backup-simplify]: Simplify -1 into -1 3.442 * [taylor]: Taking taylor expansion of x in x 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 1 into 1 3.442 * [backup-simplify]: Simplify (/ -1 1) into -1 3.442 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.442 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 3.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.442 * [taylor]: Taking taylor expansion of x in x 3.442 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.443 * [taylor]: Taking taylor expansion of 1.0 in x 3.443 * [backup-simplify]: Simplify 1.0 into 1.0 3.443 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.443 * [taylor]: Taking taylor expansion of -1 in x 3.443 * [backup-simplify]: Simplify -1 into -1 3.443 * [taylor]: Taking taylor expansion of x in x 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [backup-simplify]: Simplify (/ -1 1) into -1 3.443 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.444 * [backup-simplify]: Simplify (* 1 1) into 1 3.444 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.444 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.444 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.444 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 3.445 * [backup-simplify]: Simplify (- 0) into 0 3.445 * [backup-simplify]: Simplify (+ 0 0) into 0 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 3.446 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify (- 0) into 0 3.447 * [backup-simplify]: Simplify (+ 0 0) into 0 3.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 3.449 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify (- 0) into 0 3.450 * [backup-simplify]: Simplify (+ 0 0) into 0 3.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify (- 0) into 0 3.454 * [backup-simplify]: Simplify (+ 0 0) into 0 3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify (- 0) into 0 3.457 * [backup-simplify]: Simplify (+ 0 0) into 0 3.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (- 0) into 0 3.462 * [backup-simplify]: Simplify (+ 0 0) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 3.466 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 3.467 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 3.467 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 3.467 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 3.467 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.467 * [taylor]: Taking taylor expansion of 1.0 in x 3.467 * [backup-simplify]: Simplify 1.0 into 1.0 3.467 * [taylor]: Taking taylor expansion of (cos x) in x 3.467 * [taylor]: Taking taylor expansion of x in x 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 1 into 1 3.467 * [taylor]: Taking taylor expansion of x in x 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 1 into 1 3.467 * [backup-simplify]: Simplify (- 1) into -1 3.468 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.468 * [backup-simplify]: Simplify (+ 0) into 0 3.469 * [backup-simplify]: Simplify (- 0) into 0 3.469 * [backup-simplify]: Simplify (+ 0 0) into 0 3.470 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.470 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.471 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.471 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 3.471 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.471 * [taylor]: Taking taylor expansion of 1.0 in x 3.471 * [backup-simplify]: Simplify 1.0 into 1.0 3.471 * [taylor]: Taking taylor expansion of (cos x) in x 3.471 * [taylor]: Taking taylor expansion of x in x 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.472 * [taylor]: Taking taylor expansion of x in x 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (- 1) into -1 3.472 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.473 * [backup-simplify]: Simplify (+ 0) into 0 3.473 * [backup-simplify]: Simplify (- 0) into 0 3.474 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.475 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.475 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.476 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.476 * [backup-simplify]: Simplify 1/2 into 1/2 3.477 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.477 * [backup-simplify]: Simplify (- 0) into 0 3.478 * [backup-simplify]: Simplify (+ 0 0) into 0 3.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.481 * [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 3.482 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.482 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.483 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 3.483 * [backup-simplify]: Simplify -1/24 into -1/24 3.485 * [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 3.485 * [backup-simplify]: Simplify (- 0) into 0 3.485 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.489 * [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 3.490 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.490 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.491 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 3.491 * [backup-simplify]: Simplify 1/720 into 1/720 3.491 * [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))) 3.491 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) x) 3.491 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 3.491 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 3.492 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.492 * [taylor]: Taking taylor expansion of 1.0 in x 3.492 * [backup-simplify]: Simplify 1.0 into 1.0 3.492 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (/ 1 1) into 1 3.492 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.492 * [taylor]: Taking taylor expansion of x in x 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 3.492 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.492 * [taylor]: Taking taylor expansion of 1.0 in x 3.492 * [backup-simplify]: Simplify 1.0 into 1.0 3.492 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (/ 1 1) into 1 3.492 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.492 * [taylor]: Taking taylor expansion of x in x 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.493 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.493 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify (- 0) into 0 3.493 * [backup-simplify]: Simplify (+ 0 0) into 0 3.494 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 3.494 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.495 * [backup-simplify]: Simplify (- 0) into 0 3.495 * [backup-simplify]: Simplify (+ 0 0) into 0 3.496 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (- 0) into 0 3.496 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify (- 0) into 0 3.497 * [backup-simplify]: Simplify (+ 0 0) into 0 3.498 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify (- 0) into 0 3.499 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify (- 0) into 0 3.500 * [backup-simplify]: Simplify (+ 0 0) into 0 3.500 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify (- 0) into 0 3.501 * [backup-simplify]: Simplify (+ 0 0) into 0 3.502 * [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 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 3.502 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 3.502 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 3.502 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 3.502 * [taylor]: Taking taylor expansion of -1 in x 3.502 * [backup-simplify]: Simplify -1 into -1 3.502 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 3.502 * [taylor]: Taking taylor expansion of x in x 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 1 into 1 3.502 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.502 * [taylor]: Taking taylor expansion of 1.0 in x 3.502 * [backup-simplify]: Simplify 1.0 into 1.0 3.502 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.502 * [taylor]: Taking taylor expansion of -1 in x 3.502 * [backup-simplify]: Simplify -1 into -1 3.502 * [taylor]: Taking taylor expansion of x in x 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (/ -1 1) into -1 3.503 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.503 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 3.503 * [taylor]: Taking taylor expansion of -1 in x 3.503 * [backup-simplify]: Simplify -1 into -1 3.503 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 3.503 * [taylor]: Taking taylor expansion of x in x 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.503 * [taylor]: Taking taylor expansion of 1.0 in x 3.503 * [backup-simplify]: Simplify 1.0 into 1.0 3.503 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.503 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.503 * [taylor]: Taking taylor expansion of -1 in x 3.503 * [backup-simplify]: Simplify -1 into -1 3.503 * [taylor]: Taking taylor expansion of x in x 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (/ -1 1) into -1 3.504 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.504 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.504 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.504 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 3.504 * [backup-simplify]: Simplify (* -1 0) into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify (- 0) into 0 3.505 * [backup-simplify]: Simplify (+ 0 0) into 0 3.505 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 3.505 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 3.506 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 3.506 * [backup-simplify]: Simplify (- 0) into 0 3.506 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 3.507 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify (- 0) into 0 3.508 * [backup-simplify]: Simplify (+ 0 0) into 0 3.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 3.509 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 3.509 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify (- 0) into 0 3.510 * [backup-simplify]: Simplify (+ 0 0) into 0 3.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 3.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (- 0) into 0 3.512 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 3.515 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify (- 0) into 0 3.516 * [backup-simplify]: Simplify (+ 0 0) into 0 3.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 3.519 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 3.519 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify (- 0) into 0 3.520 * [backup-simplify]: Simplify (+ 0 0) into 0 3.523 * [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 3.525 * [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 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 3.526 * * * [progress]: simplifying candidates 3.529 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (log1p (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (- (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos x)) x)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 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))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (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 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 3.534 * * [simplify]: iteration 0: 219 enodes 3.641 * * [simplify]: iteration 1: 590 enodes 3.876 * * [simplify]: iteration 2: 1785 enodes 4.721 * * [simplify]: iteration complete: 5000 enodes 4.721 * * [simplify]: Extracting #0: cost 94 inf + 0 4.725 * * [simplify]: Extracting #1: cost 879 inf + 1 4.734 * * [simplify]: Extracting #2: cost 1681 inf + 2446 4.751 * * [simplify]: Extracting #3: cost 1493 inf + 37750 4.785 * * [simplify]: Extracting #4: cost 938 inf + 142885 4.841 * * [simplify]: Extracting #5: cost 143 inf + 369557 4.936 * * [simplify]: Extracting #6: cost 5 inf + 410530 5.031 * * [simplify]: Extracting #7: cost 0 inf + 409144 5.095 * * [simplify]: Extracting #8: cost 0 inf + 408984 5.157 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (cos x) -1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (cos x) -1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (- 1.0 (cos x)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) (fma (cos x) (cos x) (* 1.0 (+ (cos x) 1.0))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x)) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (/ (* (- 1.0 (cos x)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (* x (* x x))) (* x (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 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 x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- 1.0 (cos x)) (* x x) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) x) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (* (/ (- 1.0 (cos x)) x) (cbrt (/ 1 x))) (* (/ (- 1.0 (cos x)) x) (sqrt (/ 1 x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (- 1.0 (cos x)) (* x x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (- 1.0 (cos x)) (* x x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (fma (cos x) (cos x) (* 1.0 (+ (cos x) 1.0))) x) (* x (+ 1.0 (cos x))) (fma -1/24 (* (* x x) (* x x)) (fma (* x x) 1/2 (* (* 1/720 (* x x)) (* (* x x) (* x x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (fma (pow x 5) 1/720 (* x (- 1/2 (* 1/24 (* x x))))) (/ (- 1.0 (cos x)) x) (/ (- (- (cos x) 1.0)) x) 5.165 * * * [progress]: adding candidates to table 5.613 * * [progress]: iteration 3 / 4 5.613 * * * [progress]: picking best candidate 5.642 * * * * [pick]: Picked # 5.642 * * * [progress]: localizing error 5.652 * * * [progress]: generating rewritten candidates 5.652 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 5.658 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 5.673 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 5.696 * * * [progress]: generating series expansions 5.696 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 5.696 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 5.696 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.696 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.696 * [taylor]: Taking taylor expansion of 1.0 in x 5.696 * [backup-simplify]: Simplify 1.0 into 1.0 5.696 * [taylor]: Taking taylor expansion of (cos x) in x 5.696 * [taylor]: Taking taylor expansion of x in x 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify 1 into 1 5.696 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.696 * [taylor]: Taking taylor expansion of 1.0 in x 5.696 * [backup-simplify]: Simplify 1.0 into 1.0 5.696 * [taylor]: Taking taylor expansion of (cos x) in x 5.696 * [taylor]: Taking taylor expansion of x in x 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify 1 into 1 5.697 * [backup-simplify]: Simplify (- 1) into -1 5.697 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.697 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify (+ 0) into 0 5.698 * [backup-simplify]: Simplify (- 0) into 0 5.698 * [backup-simplify]: Simplify (+ 0 0) into 0 5.698 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.699 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.699 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.699 * [backup-simplify]: Simplify 1/2 into 1/2 5.700 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.700 * [backup-simplify]: Simplify (- 0) into 0 5.700 * [backup-simplify]: Simplify (+ 0 0) into 0 5.700 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 5.702 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.703 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.703 * [backup-simplify]: Simplify -1/24 into -1/24 5.704 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.704 * [backup-simplify]: Simplify (- 0) into 0 5.704 * [backup-simplify]: Simplify (+ 0 0) into 0 5.704 * [backup-simplify]: Simplify 0 into 0 5.711 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 5.712 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.712 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.712 * [backup-simplify]: Simplify 1/720 into 1/720 5.712 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 5.713 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.713 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.713 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.713 * [taylor]: Taking taylor expansion of 1.0 in x 5.713 * [backup-simplify]: Simplify 1.0 into 1.0 5.713 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.713 * [taylor]: Taking taylor expansion of x in x 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 1 into 1 5.713 * [backup-simplify]: Simplify (/ 1 1) into 1 5.713 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.713 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.713 * [taylor]: Taking taylor expansion of 1.0 in x 5.713 * [backup-simplify]: Simplify 1.0 into 1.0 5.713 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.713 * [taylor]: Taking taylor expansion of x in x 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 1 into 1 5.713 * [backup-simplify]: Simplify (/ 1 1) into 1 5.714 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.714 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.714 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.714 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.714 * [backup-simplify]: Simplify (- 0) into 0 5.714 * [backup-simplify]: Simplify (+ 0 0) into 0 5.714 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify (- 0) into 0 5.715 * [backup-simplify]: Simplify (+ 0 0) into 0 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify (- 0) into 0 5.715 * [backup-simplify]: Simplify (+ 0 0) into 0 5.715 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify (- 0) into 0 5.716 * [backup-simplify]: Simplify (+ 0 0) into 0 5.716 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify (- 0) into 0 5.717 * [backup-simplify]: Simplify (+ 0 0) into 0 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify (- 0) into 0 5.717 * [backup-simplify]: Simplify (+ 0 0) into 0 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 5.717 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 5.717 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.718 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.718 * [taylor]: Taking taylor expansion of 1.0 in x 5.718 * [backup-simplify]: Simplify 1.0 into 1.0 5.718 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.718 * [taylor]: Taking taylor expansion of -1 in x 5.718 * [backup-simplify]: Simplify -1 into -1 5.718 * [taylor]: Taking taylor expansion of x in x 5.718 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify 1 into 1 5.718 * [backup-simplify]: Simplify (/ -1 1) into -1 5.718 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.718 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.718 * [taylor]: Taking taylor expansion of 1.0 in x 5.718 * [backup-simplify]: Simplify 1.0 into 1.0 5.718 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.718 * [taylor]: Taking taylor expansion of -1 in x 5.718 * [backup-simplify]: Simplify -1 into -1 5.718 * [taylor]: Taking taylor expansion of x in x 5.718 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify 1 into 1 5.718 * [backup-simplify]: Simplify (/ -1 1) into -1 5.719 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.719 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.719 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.719 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.719 * [backup-simplify]: Simplify (- 0) into 0 5.719 * [backup-simplify]: Simplify (+ 0 0) into 0 5.719 * [backup-simplify]: Simplify 0 into 0 5.720 * [backup-simplify]: Simplify (- 0) into 0 5.720 * [backup-simplify]: Simplify (+ 0 0) into 0 5.720 * [backup-simplify]: Simplify 0 into 0 5.720 * [backup-simplify]: Simplify (- 0) into 0 5.720 * [backup-simplify]: Simplify (+ 0 0) into 0 5.720 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify (- 0) into 0 5.721 * [backup-simplify]: Simplify (+ 0 0) into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify (- 0) into 0 5.721 * [backup-simplify]: Simplify (+ 0 0) into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify (- 0) into 0 5.722 * [backup-simplify]: Simplify (+ 0 0) into 0 5.722 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 5.722 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 5.723 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 5.723 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 5.723 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 5.723 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.723 * [taylor]: Taking taylor expansion of 1.0 in x 5.723 * [backup-simplify]: Simplify 1.0 into 1.0 5.723 * [taylor]: Taking taylor expansion of (cos x) in x 5.723 * [taylor]: Taking taylor expansion of x in x 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify 1 into 1 5.723 * [taylor]: Taking taylor expansion of x in x 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify 1 into 1 5.723 * [backup-simplify]: Simplify (- 1) into -1 5.724 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.724 * [backup-simplify]: Simplify (+ 0) into 0 5.725 * [backup-simplify]: Simplify (- 0) into 0 5.725 * [backup-simplify]: Simplify (+ 0 0) into 0 5.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.727 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.727 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.728 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.728 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 5.728 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.728 * [taylor]: Taking taylor expansion of 1.0 in x 5.728 * [backup-simplify]: Simplify 1.0 into 1.0 5.728 * [taylor]: Taking taylor expansion of (cos x) in x 5.728 * [taylor]: Taking taylor expansion of x in x 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.728 * [taylor]: Taking taylor expansion of x in x 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (- 1) into -1 5.729 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.729 * [backup-simplify]: Simplify (+ 0) into 0 5.730 * [backup-simplify]: Simplify (- 0) into 0 5.730 * [backup-simplify]: Simplify (+ 0 0) into 0 5.731 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.732 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.732 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.732 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.733 * [backup-simplify]: Simplify 1/2 into 1/2 5.734 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.734 * [backup-simplify]: Simplify (- 0) into 0 5.735 * [backup-simplify]: Simplify (+ 0 0) into 0 5.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.736 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 5.739 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.740 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.741 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.741 * [backup-simplify]: Simplify -1/24 into -1/24 5.744 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.744 * [backup-simplify]: Simplify (- 0) into 0 5.745 * [backup-simplify]: Simplify (+ 0 0) into 0 5.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.746 * [backup-simplify]: Simplify 0 into 0 5.750 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 5.750 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.751 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.752 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.752 * [backup-simplify]: Simplify 1/720 into 1/720 5.752 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 5.752 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) x) 5.752 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 5.752 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 5.752 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.752 * [taylor]: Taking taylor expansion of 1.0 in x 5.752 * [backup-simplify]: Simplify 1.0 into 1.0 5.752 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.752 * [taylor]: Taking taylor expansion of x in x 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 1 into 1 5.753 * [backup-simplify]: Simplify (/ 1 1) into 1 5.753 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.753 * [taylor]: Taking taylor expansion of x in x 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 1 into 1 5.753 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 5.753 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.753 * [taylor]: Taking taylor expansion of 1.0 in x 5.753 * [backup-simplify]: Simplify 1.0 into 1.0 5.753 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.753 * [taylor]: Taking taylor expansion of x in x 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 1 into 1 5.753 * [backup-simplify]: Simplify (/ 1 1) into 1 5.753 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.753 * [taylor]: Taking taylor expansion of x in x 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 1 into 1 5.754 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.754 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.754 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify (- 0) into 0 5.754 * [backup-simplify]: Simplify (+ 0 0) into 0 5.755 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 5.755 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.755 * [backup-simplify]: Simplify (- 0) into 0 5.755 * [backup-simplify]: Simplify (+ 0 0) into 0 5.756 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify (- 0) into 0 5.757 * [backup-simplify]: Simplify (+ 0 0) into 0 5.757 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify (- 0) into 0 5.758 * [backup-simplify]: Simplify (+ 0 0) into 0 5.758 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.758 * [backup-simplify]: Simplify 0 into 0 5.759 * [backup-simplify]: Simplify (- 0) into 0 5.759 * [backup-simplify]: Simplify (+ 0 0) into 0 5.759 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.760 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify (- 0) into 0 5.760 * [backup-simplify]: Simplify (+ 0 0) into 0 5.761 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.761 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify (- 0) into 0 5.761 * [backup-simplify]: Simplify (+ 0 0) into 0 5.762 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 5.762 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 5.763 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 5.763 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 5.763 * [taylor]: Taking taylor expansion of -1 in x 5.763 * [backup-simplify]: Simplify -1 into -1 5.763 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 5.763 * [taylor]: Taking taylor expansion of x in x 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.763 * [taylor]: Taking taylor expansion of 1.0 in x 5.763 * [backup-simplify]: Simplify 1.0 into 1.0 5.763 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.763 * [taylor]: Taking taylor expansion of -1 in x 5.763 * [backup-simplify]: Simplify -1 into -1 5.763 * [taylor]: Taking taylor expansion of x in x 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [backup-simplify]: Simplify (/ -1 1) into -1 5.763 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.763 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 5.763 * [taylor]: Taking taylor expansion of -1 in x 5.763 * [backup-simplify]: Simplify -1 into -1 5.763 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 5.763 * [taylor]: Taking taylor expansion of x in x 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.763 * [taylor]: Taking taylor expansion of 1.0 in x 5.763 * [backup-simplify]: Simplify 1.0 into 1.0 5.763 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.763 * [taylor]: Taking taylor expansion of -1 in x 5.763 * [backup-simplify]: Simplify -1 into -1 5.763 * [taylor]: Taking taylor expansion of x in x 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.764 * [backup-simplify]: Simplify (/ -1 1) into -1 5.764 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.764 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.764 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.764 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 5.764 * [backup-simplify]: Simplify (* -1 0) into 0 5.764 * [backup-simplify]: Simplify 0 into 0 5.765 * [backup-simplify]: Simplify (- 0) into 0 5.765 * [backup-simplify]: Simplify (+ 0 0) into 0 5.765 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 5.766 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 5.766 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 5.766 * [backup-simplify]: Simplify (- 0) into 0 5.766 * [backup-simplify]: Simplify (+ 0 0) into 0 5.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 5.767 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 5.767 * [backup-simplify]: Simplify 0 into 0 5.768 * [backup-simplify]: Simplify (- 0) into 0 5.768 * [backup-simplify]: Simplify (+ 0 0) into 0 5.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 5.770 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify (- 0) into 0 5.770 * [backup-simplify]: Simplify (+ 0 0) into 0 5.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 5.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 5.772 * [backup-simplify]: Simplify 0 into 0 5.772 * [backup-simplify]: Simplify (- 0) into 0 5.773 * [backup-simplify]: Simplify (+ 0 0) into 0 5.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 5.775 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [backup-simplify]: Simplify (- 0) into 0 5.776 * [backup-simplify]: Simplify (+ 0 0) into 0 5.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 5.779 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify (- 0) into 0 5.779 * [backup-simplify]: Simplify (+ 0 0) into 0 5.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))))) into 0 5.782 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))))) into 0 5.782 * [backup-simplify]: Simplify 0 into 0 5.783 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 5.783 * * * * [progress]: [ 3 / 3 ] generating series at (2) 5.783 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos x)) x) x) into (/ (- 1.0 (cos x)) (pow x 2)) 5.783 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 5.783 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 5.783 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.783 * [taylor]: Taking taylor expansion of 1.0 in x 5.783 * [backup-simplify]: Simplify 1.0 into 1.0 5.783 * [taylor]: Taking taylor expansion of (cos x) in x 5.783 * [taylor]: Taking taylor expansion of x in x 5.783 * [backup-simplify]: Simplify 0 into 0 5.783 * [backup-simplify]: Simplify 1 into 1 5.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.783 * [taylor]: Taking taylor expansion of x in x 5.783 * [backup-simplify]: Simplify 0 into 0 5.783 * [backup-simplify]: Simplify 1 into 1 5.783 * [backup-simplify]: Simplify (- 1) into -1 5.783 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.784 * [backup-simplify]: Simplify (+ 0) into 0 5.784 * [backup-simplify]: Simplify (- 0) into 0 5.784 * [backup-simplify]: Simplify (+ 0 0) into 0 5.785 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.785 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.785 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.786 * [backup-simplify]: Simplify (* 1 1) into 1 5.786 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.786 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 5.786 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.786 * [taylor]: Taking taylor expansion of 1.0 in x 5.786 * [backup-simplify]: Simplify 1.0 into 1.0 5.786 * [taylor]: Taking taylor expansion of (cos x) in x 5.786 * [taylor]: Taking taylor expansion of x in x 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 1 into 1 5.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.786 * [taylor]: Taking taylor expansion of x in x 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 1 into 1 5.786 * [backup-simplify]: Simplify (- 1) into -1 5.787 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.787 * [backup-simplify]: Simplify (+ 0) into 0 5.787 * [backup-simplify]: Simplify (- 0) into 0 5.787 * [backup-simplify]: Simplify (+ 0 0) into 0 5.788 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.788 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.789 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.789 * [backup-simplify]: Simplify (* 1 1) into 1 5.789 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.789 * [backup-simplify]: Simplify 1/2 into 1/2 5.790 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.791 * [backup-simplify]: Simplify (- 0) into 0 5.791 * [backup-simplify]: Simplify (+ 0 0) into 0 5.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.793 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 5.796 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.796 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.799 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.799 * [backup-simplify]: Simplify -1/24 into -1/24 5.801 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.802 * [backup-simplify]: Simplify (- 0) into 0 5.802 * [backup-simplify]: Simplify (+ 0 0) into 0 5.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.805 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 5.812 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.812 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.816 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.816 * [backup-simplify]: Simplify 1/720 into 1/720 5.817 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 5.817 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 5.817 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 5.817 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 5.817 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.817 * [taylor]: Taking taylor expansion of 1.0 in x 5.817 * [backup-simplify]: Simplify 1.0 into 1.0 5.818 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.818 * [taylor]: Taking taylor expansion of x in x 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 1 into 1 5.818 * [backup-simplify]: Simplify (/ 1 1) into 1 5.818 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.819 * [taylor]: Taking taylor expansion of x in x 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 1 into 1 5.819 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 5.819 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.819 * [taylor]: Taking taylor expansion of 1.0 in x 5.819 * [backup-simplify]: Simplify 1.0 into 1.0 5.819 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.819 * [taylor]: Taking taylor expansion of x in x 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 1 into 1 5.819 * [backup-simplify]: Simplify (/ 1 1) into 1 5.820 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.820 * [taylor]: Taking taylor expansion of x in x 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 1 into 1 5.820 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.820 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.821 * [backup-simplify]: Simplify (* 1 1) into 1 5.821 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 5.821 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.823 * [backup-simplify]: Simplify (- 0) into 0 5.824 * [backup-simplify]: Simplify (+ 0 0) into 0 5.824 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 5.824 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.826 * [backup-simplify]: Simplify (- 0) into 0 5.827 * [backup-simplify]: Simplify (+ 0 0) into 0 5.828 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 5.828 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.829 * [backup-simplify]: Simplify (- 0) into 0 5.830 * [backup-simplify]: Simplify (+ 0 0) into 0 5.831 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.831 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.833 * [backup-simplify]: Simplify (- 0) into 0 5.833 * [backup-simplify]: Simplify (+ 0 0) into 0 5.837 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.839 * [backup-simplify]: Simplify (- 0) into 0 5.839 * [backup-simplify]: Simplify (+ 0 0) into 0 5.840 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.840 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.842 * [backup-simplify]: Simplify (- 0) into 0 5.842 * [backup-simplify]: Simplify (+ 0 0) into 0 5.844 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.844 * [backup-simplify]: Simplify 0 into 0 5.844 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 5.844 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 5.844 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 5.844 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 5.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.844 * [taylor]: Taking taylor expansion of x in x 5.844 * [backup-simplify]: Simplify 0 into 0 5.844 * [backup-simplify]: Simplify 1 into 1 5.844 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.844 * [taylor]: Taking taylor expansion of 1.0 in x 5.844 * [backup-simplify]: Simplify 1.0 into 1.0 5.845 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.845 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.845 * [taylor]: Taking taylor expansion of -1 in x 5.845 * [backup-simplify]: Simplify -1 into -1 5.845 * [taylor]: Taking taylor expansion of x in x 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 1 into 1 5.845 * [backup-simplify]: Simplify (/ -1 1) into -1 5.845 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.845 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 5.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.845 * [taylor]: Taking taylor expansion of x in x 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 1 into 1 5.845 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.845 * [taylor]: Taking taylor expansion of 1.0 in x 5.845 * [backup-simplify]: Simplify 1.0 into 1.0 5.845 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.845 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.845 * [taylor]: Taking taylor expansion of -1 in x 5.845 * [backup-simplify]: Simplify -1 into -1 5.845 * [taylor]: Taking taylor expansion of x in x 5.845 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [backup-simplify]: Simplify (/ -1 1) into -1 5.846 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.846 * [backup-simplify]: Simplify (* 1 1) into 1 5.847 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.847 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.847 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.847 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.847 * [backup-simplify]: Simplify (- 0) into 0 5.848 * [backup-simplify]: Simplify (+ 0 0) into 0 5.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify (- 0) into 0 5.850 * [backup-simplify]: Simplify (+ 0 0) into 0 5.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 5.851 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify (- 0) into 0 5.852 * [backup-simplify]: Simplify (+ 0 0) into 0 5.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 5.854 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify (- 0) into 0 5.855 * [backup-simplify]: Simplify (+ 0 0) into 0 5.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 5.858 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify (- 0) into 0 5.859 * [backup-simplify]: Simplify (+ 0 0) into 0 5.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify (- 0) into 0 5.863 * [backup-simplify]: Simplify (+ 0 0) into 0 5.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 5.867 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 5.867 * * * [progress]: simplifying candidates 5.871 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) 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(* (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)) 5.877 * * [simplify]: iteration 0: 259 enodes 5.943 * * [simplify]: iteration 1: 604 enodes 6.238 * * [simplify]: iteration 2: 1582 enodes 7.226 * * [simplify]: iteration complete: 5003 enodes 7.226 * * [simplify]: Extracting #0: cost 136 inf + 0 7.228 * * [simplify]: Extracting #1: cost 934 inf + 1 7.235 * * [simplify]: Extracting #2: cost 1818 inf + 5451 7.265 * * [simplify]: Extracting #3: cost 1071 inf + 125919 7.322 * * [simplify]: Extracting #4: cost 213 inf + 338048 7.409 * * [simplify]: Extracting #5: cost 8 inf + 393389 7.496 * * [simplify]: Extracting #6: cost 0 inf + 394811 7.572 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (cos x) -1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (cos x) -1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (- 1.0 (cos x)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) (fma (+ 1.0 (cos x)) (cos x) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (fma (+ 1.0 (cos x)) (cos x) (* 1.0 1.0)) x) (* x (+ 1.0 (cos x))) (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x)) (/ (/ (- 1.0 (cos x)) x) x)) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (/ (- 1.0 (cos x)) (* x x)) (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (/ (- 1.0 (cos x)) x)) (- x) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (* (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt 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 x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) x)) (/ (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (* x (sqrt 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) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt 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))) (* (cbrt x) x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (cbrt 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))) (* (cbrt x) 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) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (sqrt x))) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) 1 (/ (- 1.0 (cos x)) (* x x)) (/ (+ (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))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (sqrt x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (sqrt x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (sqrt x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (sqrt x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (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 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (sqrt x))) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) 1 (/ (- 1.0 (cos x)) (* x x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) 1 (/ (- 1.0 (cos x)) (* x x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ 1 (* (cbrt x) x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ 1 (* x x)) (/ 1 x) (/ (* x x) (- 1.0 (cos x))) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* x (sqrt x))) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ (* (cbrt x) x) (cbrt (- 1.0 (cos x)))) (* (/ x (cbrt (- 1.0 (cos x)))) (sqrt 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))))) (/ (* (cbrt x) x) (- 1.0 (cos x))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (/ (* (cbrt x) x) (- (sqrt 1.0) (sqrt (cos x)))) (* (sqrt x) (/ x (- (sqrt 1.0) (sqrt (cos x))))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* (cbrt x) x) (- 1.0 (cos x))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (* x x) (* x x) (fma (* (* x x) (* x x)) -1/24 (fma 1/720 (* (* (* x x) (* x x)) (* x x)) (* (* x x) 1/2))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 5) 1/720 (* x (- 1/2 (* (* x x) 1/24)))) (/ (- 1.0 (cos x)) x) (/ (- (- (cos x) 1.0)) x) (fma -1/24 (* x x) (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) 7.588 * * * [progress]: adding candidates to table 8.292 * * [progress]: iteration 4 / 4 8.292 * * * [progress]: picking best candidate 8.319 * * * * [pick]: Picked # 8.319 * * * [progress]: localizing error 8.350 * * * [progress]: generating rewritten candidates 8.350 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 8.410 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 8.555 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 8.615 * * * [progress]: generating series expansions 8.615 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 8.616 * [backup-simplify]: Simplify (- (/ 1.0 x) (/ (cos x) x)) into (- (* 1.0 (/ 1 x)) (/ (cos x) x)) 8.616 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 8.616 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 8.616 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 8.616 * [taylor]: Taking taylor expansion of 1.0 in x 8.616 * [backup-simplify]: Simplify 1.0 into 1.0 8.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.616 * [taylor]: Taking taylor expansion of x in x 8.616 * [backup-simplify]: Simplify 0 into 0 8.616 * [backup-simplify]: Simplify 1 into 1 8.617 * [backup-simplify]: Simplify (/ 1 1) into 1 8.617 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 8.617 * [taylor]: Taking taylor expansion of (cos x) in x 8.617 * [taylor]: Taking taylor expansion of x in x 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [taylor]: Taking taylor expansion of x in x 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [backup-simplify]: Simplify (/ 1 1) into 1 8.617 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 8.617 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 8.617 * [taylor]: Taking taylor expansion of 1.0 in x 8.617 * [backup-simplify]: Simplify 1.0 into 1.0 8.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.617 * [taylor]: Taking taylor expansion of x in x 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [backup-simplify]: Simplify (/ 1 1) into 1 8.617 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 8.617 * [taylor]: Taking taylor expansion of (cos x) in x 8.617 * [taylor]: Taking taylor expansion of x in x 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [taylor]: Taking taylor expansion of x in x 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.618 * [backup-simplify]: Simplify (/ 1 1) into 1 8.618 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.618 * [backup-simplify]: Simplify (- 1) into -1 8.619 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.620 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 8.620 * [backup-simplify]: Simplify (+ 0) into 0 8.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.621 * [backup-simplify]: Simplify (- 0) into 0 8.621 * [backup-simplify]: Simplify (+ 0 0) into 0 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.622 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 8.623 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.623 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 8.624 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.624 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.624 * [backup-simplify]: Simplify 1/2 into 1/2 8.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.625 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.626 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 8.627 * [backup-simplify]: Simplify (- 0) into 0 8.627 * [backup-simplify]: Simplify (+ 0 0) into 0 8.627 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.628 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.630 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 8.631 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 8.631 * [backup-simplify]: Simplify (- 1/24) into -1/24 8.631 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 8.631 * [backup-simplify]: Simplify -1/24 into -1/24 8.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.633 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.634 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 8.635 * [backup-simplify]: Simplify (- 0) into 0 8.635 * [backup-simplify]: Simplify (+ 0 0) into 0 8.635 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.637 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 8.641 * [backup-simplify]: Simplify (- (/ -1/720 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into -1/720 8.641 * [backup-simplify]: Simplify (- -1/720) into 1/720 8.641 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 8.641 * [backup-simplify]: Simplify 1/720 into 1/720 8.642 * [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))) 8.642 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 x)) (/ (cos (/ 1 x)) (/ 1 x))) into (- (* 1.0 x) (* x (cos (/ 1 x)))) 8.642 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 8.642 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 8.642 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 8.642 * [taylor]: Taking taylor expansion of 1.0 in x 8.642 * [backup-simplify]: Simplify 1.0 into 1.0 8.642 * [taylor]: Taking taylor expansion of x in x 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 1 into 1 8.642 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 8.642 * [taylor]: Taking taylor expansion of x in x 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 1 into 1 8.642 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.642 * [taylor]: Taking taylor expansion of x in x 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 1 into 1 8.643 * [backup-simplify]: Simplify (/ 1 1) into 1 8.643 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.643 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 8.643 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 8.643 * [taylor]: Taking taylor expansion of 1.0 in x 8.643 * [backup-simplify]: Simplify 1.0 into 1.0 8.643 * [taylor]: Taking taylor expansion of x in x 8.643 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify 1 into 1 8.643 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 8.643 * [taylor]: Taking taylor expansion of x in x 8.643 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify 1 into 1 8.643 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.643 * [taylor]: Taking taylor expansion of x in x 8.643 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify 1 into 1 8.644 * [backup-simplify]: Simplify (/ 1 1) into 1 8.644 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.644 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.644 * [backup-simplify]: Simplify (* 0 (cos (/ 1 x))) into 0 8.645 * [backup-simplify]: Simplify (- 0) into 0 8.645 * [backup-simplify]: Simplify (+ 0 0) into 0 8.645 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1 x)))) into (cos (/ 1 x)) 8.647 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 8.647 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.648 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 8.649 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1 x))))) into 0 8.650 * [backup-simplify]: Simplify (- 0) into 0 8.651 * [backup-simplify]: Simplify (+ 0 0) into 0 8.651 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 8.663 * [backup-simplify]: Simplify (- 0) into 0 8.663 * [backup-simplify]: Simplify (+ 0 0) into 0 8.664 * [backup-simplify]: Simplify 0 into 0 8.665 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 8.667 * [backup-simplify]: Simplify (- 0) into 0 8.667 * [backup-simplify]: Simplify (+ 0 0) into 0 8.667 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 8.671 * [backup-simplify]: Simplify (- 0) into 0 8.671 * [backup-simplify]: Simplify (+ 0 0) into 0 8.671 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 8.674 * [backup-simplify]: Simplify (- 0) into 0 8.674 * [backup-simplify]: Simplify (+ 0 0) into 0 8.675 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))))) into 0 8.677 * [backup-simplify]: Simplify (- 0) into 0 8.678 * [backup-simplify]: Simplify (+ 0 0) into 0 8.678 * [backup-simplify]: Simplify 0 into 0 8.678 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 8.678 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- x))) (/ (cos (/ 1 (- x))) (/ 1 (- x)))) into (- (* x (cos (/ -1 x))) (* 1.0 x)) 8.678 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 8.678 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 8.678 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 8.678 * [taylor]: Taking taylor expansion of x in x 8.678 * [backup-simplify]: Simplify 0 into 0 8.678 * [backup-simplify]: Simplify 1 into 1 8.678 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.678 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.678 * [taylor]: Taking taylor expansion of -1 in x 8.678 * [backup-simplify]: Simplify -1 into -1 8.678 * [taylor]: Taking taylor expansion of x in x 8.678 * [backup-simplify]: Simplify 0 into 0 8.678 * [backup-simplify]: Simplify 1 into 1 8.678 * [backup-simplify]: Simplify (/ -1 1) into -1 8.679 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.679 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 8.679 * [taylor]: Taking taylor expansion of 1.0 in x 8.679 * [backup-simplify]: Simplify 1.0 into 1.0 8.679 * [taylor]: Taking taylor expansion of x in x 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 8.679 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 8.679 * [taylor]: Taking taylor expansion of x in x 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.679 * [taylor]: Taking taylor expansion of -1 in x 8.679 * [backup-simplify]: Simplify -1 into -1 8.679 * [taylor]: Taking taylor expansion of x in x 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify (/ -1 1) into -1 8.679 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.679 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 8.679 * [taylor]: Taking taylor expansion of 1.0 in x 8.679 * [backup-simplify]: Simplify 1.0 into 1.0 8.679 * [taylor]: Taking taylor expansion of x in x 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify (* 0 (cos (/ -1 x))) into 0 8.680 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.680 * [backup-simplify]: Simplify (- 0) into 0 8.680 * [backup-simplify]: Simplify (+ 0 0) into 0 8.680 * [backup-simplify]: Simplify 0 into 0 8.680 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ -1 x)))) into (cos (/ -1 x)) 8.681 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.682 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.682 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) (- 1.0)) into (- (cos (/ -1 x)) 1.0) 8.682 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 8.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ -1 x))))) into 0 8.683 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.683 * [backup-simplify]: Simplify (- 0) into 0 8.684 * [backup-simplify]: Simplify (+ 0 0) into 0 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 8.685 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.685 * [backup-simplify]: Simplify (- 0) into 0 8.685 * [backup-simplify]: Simplify (+ 0 0) into 0 8.686 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 8.687 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.687 * [backup-simplify]: Simplify (- 0) into 0 8.688 * [backup-simplify]: Simplify (+ 0 0) into 0 8.688 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 8.690 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.690 * [backup-simplify]: Simplify (- 0) into 0 8.690 * [backup-simplify]: Simplify (+ 0 0) into 0 8.690 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 8.693 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.693 * [backup-simplify]: Simplify (- 0) into 0 8.693 * [backup-simplify]: Simplify (+ 0 0) into 0 8.693 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))))) into 0 8.696 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.696 * [backup-simplify]: Simplify (- 0) into 0 8.696 * [backup-simplify]: Simplify (+ 0 0) into 0 8.696 * [backup-simplify]: Simplify 0 into 0 8.696 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 8.697 * * * * [progress]: [ 2 / 3 ] generating series at (2) 8.697 * [backup-simplify]: Simplify (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) into (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) 8.697 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 8.697 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 8.697 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 8.697 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 8.697 * [taylor]: Taking taylor expansion of 1.0 in x 8.697 * [backup-simplify]: Simplify 1.0 into 1.0 8.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.697 * [taylor]: Taking taylor expansion of x in x 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 1 into 1 8.697 * [backup-simplify]: Simplify (/ 1 1) into 1 8.697 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 8.697 * [taylor]: Taking taylor expansion of (cos x) in x 8.697 * [taylor]: Taking taylor expansion of x in x 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 1 into 1 8.697 * [taylor]: Taking taylor expansion of x in x 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 1 into 1 8.697 * [backup-simplify]: Simplify (/ 1 1) into 1 8.697 * [taylor]: Taking taylor expansion of x in x 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify 1 into 1 8.698 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.698 * [backup-simplify]: Simplify (- 1) into -1 8.698 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.699 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 8.699 * [backup-simplify]: Simplify (+ 0) into 0 8.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.700 * [backup-simplify]: Simplify (- 0) into 0 8.700 * [backup-simplify]: Simplify (+ 0 0) into 0 8.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.701 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 8.702 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.704 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 8.704 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.704 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.705 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.705 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 8.705 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 8.705 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 8.705 * [taylor]: Taking taylor expansion of 1.0 in x 8.705 * [backup-simplify]: Simplify 1.0 into 1.0 8.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.705 * [taylor]: Taking taylor expansion of x in x 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [backup-simplify]: Simplify (/ 1 1) into 1 8.706 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 8.706 * [taylor]: Taking taylor expansion of (cos x) in x 8.706 * [taylor]: Taking taylor expansion of x in x 8.706 * [backup-simplify]: Simplify 0 into 0 8.706 * [backup-simplify]: Simplify 1 into 1 8.706 * [taylor]: Taking taylor expansion of x in x 8.706 * [backup-simplify]: Simplify 0 into 0 8.706 * [backup-simplify]: Simplify 1 into 1 8.706 * [backup-simplify]: Simplify (/ 1 1) into 1 8.706 * [taylor]: Taking taylor expansion of x in x 8.706 * [backup-simplify]: Simplify 0 into 0 8.706 * [backup-simplify]: Simplify 1 into 1 8.707 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.707 * [backup-simplify]: Simplify (- 1) into -1 8.707 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.709 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 8.709 * [backup-simplify]: Simplify (+ 0) into 0 8.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.710 * [backup-simplify]: Simplify (- 0) into 0 8.711 * [backup-simplify]: Simplify (+ 0 0) into 0 8.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.712 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 8.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.715 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 8.715 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.716 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.716 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.716 * [backup-simplify]: Simplify 1/2 into 1/2 8.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.718 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.719 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 8.721 * [backup-simplify]: Simplify (- 0) into 0 8.721 * [backup-simplify]: Simplify (+ 0 0) into 0 8.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.722 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.724 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 8.729 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 8.729 * [backup-simplify]: Simplify (- 1/24) into -1/24 8.729 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 8.731 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 8.731 * [backup-simplify]: Simplify -1/24 into -1/24 8.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.733 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.735 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 8.737 * [backup-simplify]: Simplify (- 0) into 0 8.738 * [backup-simplify]: Simplify (+ 0 0) into 0 8.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 8.739 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.741 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.746 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 8.747 * [backup-simplify]: Simplify (- (/ -1/720 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into -1/720 8.747 * [backup-simplify]: Simplify (- -1/720) into 1/720 8.747 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 8.748 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 8.748 * [backup-simplify]: Simplify 1/720 into 1/720 8.749 * [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))) 8.749 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (- (/ 1.0 (/ 1 x)) (/ (cos (/ 1 x)) (/ 1 x)))) into (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) 8.749 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 8.749 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 8.749 * [taylor]: Taking taylor expansion of x in x 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 8.749 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 8.749 * [taylor]: Taking taylor expansion of 1.0 in x 8.749 * [backup-simplify]: Simplify 1.0 into 1.0 8.749 * [taylor]: Taking taylor expansion of x in x 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 8.749 * [taylor]: Taking taylor expansion of x in x 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.749 * [taylor]: Taking taylor expansion of x in x 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [backup-simplify]: Simplify (/ 1 1) into 1 8.749 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.750 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 8.750 * [taylor]: Taking taylor expansion of x in x 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.750 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 8.750 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 8.750 * [taylor]: Taking taylor expansion of 1.0 in x 8.750 * [backup-simplify]: Simplify 1.0 into 1.0 8.750 * [taylor]: Taking taylor expansion of x in x 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.750 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 8.750 * [taylor]: Taking taylor expansion of x in x 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.750 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.750 * [taylor]: Taking taylor expansion of x in x 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.750 * [backup-simplify]: Simplify (/ 1 1) into 1 8.750 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.750 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.750 * [backup-simplify]: Simplify (* 0 (cos (/ 1 x))) into 0 8.751 * [backup-simplify]: Simplify (- 0) into 0 8.751 * [backup-simplify]: Simplify (+ 0 0) into 0 8.751 * [backup-simplify]: Simplify (* 0 0) into 0 8.751 * [backup-simplify]: Simplify 0 into 0 8.752 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.752 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1 x)))) into (cos (/ 1 x)) 8.752 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 8.753 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.753 * [backup-simplify]: Simplify (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 1 0)) into 0 8.753 * [backup-simplify]: Simplify 0 into 0 8.754 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1 x))))) into 0 8.754 * [backup-simplify]: Simplify (- 0) into 0 8.755 * [backup-simplify]: Simplify (+ 0 0) into 0 8.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1.0 (cos (/ 1 x)))) (* 0 0))) into (- 1.0 (cos (/ 1 x))) 8.755 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 8.756 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 8.757 * [backup-simplify]: Simplify (- 0) into 0 8.757 * [backup-simplify]: Simplify (+ 0 0) into 0 8.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0)))) into 0 8.758 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 8.760 * [backup-simplify]: Simplify (- 0) into 0 8.760 * [backup-simplify]: Simplify (+ 0 0) into 0 8.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0))))) into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.762 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 8.763 * [backup-simplify]: Simplify (- 0) into 0 8.764 * [backup-simplify]: Simplify (+ 0 0) into 0 8.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0)))))) into 0 8.765 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 8.769 * [backup-simplify]: Simplify (- 0) into 0 8.769 * [backup-simplify]: Simplify (+ 0 0) into 0 8.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0))))))) into 0 8.771 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))))) into 0 8.774 * [backup-simplify]: Simplify (- 0) into 0 8.774 * [backup-simplify]: Simplify (+ 0 0) into 0 8.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0)))))))) into 0 8.777 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 8.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))))) into 0 8.783 * [backup-simplify]: Simplify (- 0) into 0 8.783 * [backup-simplify]: Simplify (+ 0 0) into 0 8.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ 1 x)))) (* 0 0))))))))) into 0 8.786 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 8.787 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (- (/ 1.0 (/ 1 (- x))) (/ (cos (/ 1 (- x))) (/ 1 (- x))))) into (* -1 (* x (- (* x (cos (/ -1 x))) (* 1.0 x)))) 8.787 * [approximate]: Taking taylor expansion of (* -1 (* x (- (* x (cos (/ -1 x))) (* 1.0 x)))) in (x) around 0 8.787 * [taylor]: Taking taylor expansion of (* -1 (* x (- (* x (cos (/ -1 x))) (* 1.0 x)))) in x 8.787 * [taylor]: Taking taylor expansion of -1 in x 8.787 * [backup-simplify]: Simplify -1 into -1 8.787 * [taylor]: Taking taylor expansion of (* x (- (* x (cos (/ -1 x))) (* 1.0 x))) in x 8.787 * [taylor]: Taking taylor expansion of x in x 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.788 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 8.788 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 8.788 * [taylor]: Taking taylor expansion of x in x 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [backup-simplify]: Simplify 1 into 1 8.788 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.788 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.788 * [taylor]: Taking taylor expansion of -1 in x 8.788 * [backup-simplify]: Simplify -1 into -1 8.788 * [taylor]: Taking taylor expansion of x in x 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [backup-simplify]: Simplify 1 into 1 8.788 * [backup-simplify]: Simplify (/ -1 1) into -1 8.788 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.788 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 8.788 * [taylor]: Taking taylor expansion of 1.0 in x 8.788 * [backup-simplify]: Simplify 1.0 into 1.0 8.789 * [taylor]: Taking taylor expansion of x in x 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [taylor]: Taking taylor expansion of (* -1 (* x (- (* x (cos (/ -1 x))) (* 1.0 x)))) in x 8.789 * [taylor]: Taking taylor expansion of -1 in x 8.789 * [backup-simplify]: Simplify -1 into -1 8.789 * [taylor]: Taking taylor expansion of (* x (- (* x (cos (/ -1 x))) (* 1.0 x))) in x 8.789 * [taylor]: Taking taylor expansion of x in x 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 8.789 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 8.789 * [taylor]: Taking taylor expansion of x in x 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.789 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.789 * [taylor]: Taking taylor expansion of -1 in x 8.789 * [backup-simplify]: Simplify -1 into -1 8.789 * [taylor]: Taking taylor expansion of x in x 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [backup-simplify]: Simplify (/ -1 1) into -1 8.790 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.790 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 8.790 * [taylor]: Taking taylor expansion of 1.0 in x 8.790 * [backup-simplify]: Simplify 1.0 into 1.0 8.790 * [taylor]: Taking taylor expansion of x in x 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [backup-simplify]: Simplify 1 into 1 8.790 * [backup-simplify]: Simplify (* 0 (cos (/ -1 x))) into 0 8.790 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.791 * [backup-simplify]: Simplify (- 0) into 0 8.791 * [backup-simplify]: Simplify (+ 0 0) into 0 8.791 * [backup-simplify]: Simplify (* 0 0) into 0 8.792 * [backup-simplify]: Simplify (* -1 0) into 0 8.792 * [backup-simplify]: Simplify 0 into 0 8.792 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ -1 x)))) into (cos (/ -1 x)) 8.794 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.794 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.795 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) (- 1.0)) into (- (cos (/ -1 x)) 1.0) 8.795 * [backup-simplify]: Simplify (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 1 0)) into 0 8.796 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ -1 x))))) into 0 8.798 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.798 * [backup-simplify]: Simplify (- 0) into 0 8.798 * [backup-simplify]: Simplify (+ 0 0) into 0 8.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- (cos (/ -1 x)) 1.0)) (* 0 0))) into (- (cos (/ -1 x)) 1.0) 8.800 * [backup-simplify]: Simplify (+ (* -1 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))) into (- 1.0 (cos (/ -1 x))) 8.800 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 8.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 8.802 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.803 * [backup-simplify]: Simplify (- 0) into 0 8.803 * [backup-simplify]: Simplify (+ 0 0) into 0 8.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0)))) into 0 8.805 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0)))) into 0 8.805 * [backup-simplify]: Simplify 0 into 0 8.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 8.808 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.809 * [backup-simplify]: Simplify (- 0) into 0 8.809 * [backup-simplify]: Simplify (+ 0 0) into 0 8.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0))))) into 0 8.812 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))))) into 0 8.812 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 8.816 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.816 * [backup-simplify]: Simplify (- 0) into 0 8.817 * [backup-simplify]: Simplify (+ 0 0) into 0 8.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0)))))) into 0 8.821 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0)))))) into 0 8.821 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 8.825 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.826 * [backup-simplify]: Simplify (- 0) into 0 8.826 * [backup-simplify]: Simplify (+ 0 0) into 0 8.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0))))))) into 0 8.830 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))))))) into 0 8.830 * [backup-simplify]: Simplify 0 into 0 8.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))))) into 0 8.835 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.835 * [backup-simplify]: Simplify (- 0) into 0 8.836 * [backup-simplify]: Simplify (+ 0 0) into 0 8.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0)))))))) into 0 8.842 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0)))))))) into 0 8.842 * [backup-simplify]: Simplify 0 into 0 8.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))))) into 0 8.847 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 8.848 * [backup-simplify]: Simplify (- 0) into 0 8.848 * [backup-simplify]: Simplify (+ 0 0) into 0 8.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (* 0 0))))))))) into 0 8.854 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (cos (/ -1 x)) 1.0)) (+ (* 0 0) (* 0 0))))))))) into 0 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 8.854 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 8.855 * [backup-simplify]: Simplify (/ (cos x) x) into (/ (cos x) x) 8.855 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 8.855 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 8.855 * [taylor]: Taking taylor expansion of (cos x) in x 8.855 * [taylor]: Taking taylor expansion of x in x 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 1 into 1 8.855 * [taylor]: Taking taylor expansion of x in x 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 1 into 1 8.855 * [backup-simplify]: Simplify (/ 1 1) into 1 8.855 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 8.855 * [taylor]: Taking taylor expansion of (cos x) in x 8.855 * [taylor]: Taking taylor expansion of x in x 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 1 into 1 8.855 * [taylor]: Taking taylor expansion of x in x 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 1 into 1 8.856 * [backup-simplify]: Simplify (/ 1 1) into 1 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [backup-simplify]: Simplify (+ 0) into 0 8.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.857 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.859 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 8.859 * [backup-simplify]: Simplify -1/2 into -1/2 8.861 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 8.862 * [backup-simplify]: Simplify 0 into 0 8.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 8.867 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 8.867 * [backup-simplify]: Simplify 1/24 into 1/24 8.867 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 3)) (+ (* -1/2 x) (* 1 (/ 1 x)))) into (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) 8.868 * [backup-simplify]: Simplify (/ (cos (/ 1 x)) (/ 1 x)) into (* x (cos (/ 1 x))) 8.868 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 8.868 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 8.868 * [taylor]: Taking taylor expansion of x in x 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify 1 into 1 8.868 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.868 * [taylor]: Taking taylor expansion of x in x 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify 1 into 1 8.868 * [backup-simplify]: Simplify (/ 1 1) into 1 8.868 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.868 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 8.868 * [taylor]: Taking taylor expansion of x in x 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify 1 into 1 8.869 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.869 * [taylor]: Taking taylor expansion of x in x 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify 1 into 1 8.869 * [backup-simplify]: Simplify (/ 1 1) into 1 8.869 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.869 * [backup-simplify]: Simplify (* 0 (cos (/ 1 x))) into 0 8.869 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1 x)))) into (cos (/ 1 x)) 8.870 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1 x))))) into 0 8.871 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 8.872 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 8.875 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 8.877 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 8.879 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))))) into 0 8.882 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 x))) (/ 1 x)) into (/ (cos x) x) 8.883 * [backup-simplify]: Simplify (/ (cos (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (cos (/ -1 x)))) 8.883 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 8.883 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 8.883 * [taylor]: Taking taylor expansion of -1 in x 8.883 * [backup-simplify]: Simplify -1 into -1 8.883 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 8.883 * [taylor]: Taking taylor expansion of x in x 8.883 * [backup-simplify]: Simplify 0 into 0 8.883 * [backup-simplify]: Simplify 1 into 1 8.883 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.883 * [taylor]: Taking taylor expansion of -1 in x 8.883 * [backup-simplify]: Simplify -1 into -1 8.883 * [taylor]: Taking taylor expansion of x in x 8.883 * [backup-simplify]: Simplify 0 into 0 8.883 * [backup-simplify]: Simplify 1 into 1 8.884 * [backup-simplify]: Simplify (/ -1 1) into -1 8.884 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.884 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 8.884 * [taylor]: Taking taylor expansion of -1 in x 8.884 * [backup-simplify]: Simplify -1 into -1 8.884 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 8.884 * [taylor]: Taking taylor expansion of x in x 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify 1 into 1 8.884 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.884 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.884 * [taylor]: Taking taylor expansion of -1 in x 8.884 * [backup-simplify]: Simplify -1 into -1 8.884 * [taylor]: Taking taylor expansion of x in x 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify 1 into 1 8.885 * [backup-simplify]: Simplify (/ -1 1) into -1 8.885 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.885 * [backup-simplify]: Simplify (* 0 (cos (/ -1 x))) into 0 8.885 * [backup-simplify]: Simplify (* -1 0) into 0 8.885 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ -1 x)))) into (cos (/ -1 x)) 8.886 * [backup-simplify]: Simplify (+ (* -1 (cos (/ -1 x))) (* 0 0)) into (- (cos (/ -1 x))) 8.886 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 8.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ -1 x))))) into 0 8.888 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (cos (/ -1 x))) (* 0 0))) into 0 8.888 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 8.891 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0)))) into 0 8.891 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 8.894 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0))))) into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 8.896 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0)))))) into 0 8.896 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 8.900 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0))))))) into 0 8.900 * [backup-simplify]: Simplify 0 into 0 8.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))))) into 0 8.905 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (cos (/ -1 x))) (* 0 0)))))))) into 0 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (cos x) x) 8.905 * * * [progress]: simplifying candidates 8.919 * [simplify]: Simplifying: (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (cbrt (/ (cos x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x)))))) (fma (- (cbrt (/ (cos x) x))) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (* (cbrt (/ (cos x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x))))) (fma (- (sqrt (/ (cos x) x))) (sqrt (/ (cos x) x)) (* (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt (cos x)) (cbrt x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (* (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x))))) (fma (- (/ (cbrt (cos x)) (sqrt x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (* (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) x) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1)))) (fma (- (/ (cbrt (cos x)) x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (* (/ (cbrt (cos x)) x) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt (cos x)) (cbrt x))) (/ (sqrt (cos 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(/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) 1) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) (/ 1 1) (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (/ (cos x) 1) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (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)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (cos x) x) 8.959 * * [simplify]: iteration 0: 796 enodes 9.503 * * [simplify]: iteration 1: 2378 enodes 10.974 * * [simplify]: iteration complete: 5000 enodes 10.975 * * [simplify]: Extracting #0: cost 273 inf + 0 10.982 * * [simplify]: Extracting #1: cost 1141 inf + 1 10.993 * * [simplify]: Extracting #2: cost 1362 inf + 3090 11.011 * * [simplify]: Extracting #3: cost 1034 inf + 73711 11.087 * * [simplify]: Extracting #4: cost 286 inf + 306132 11.208 * * [simplify]: Extracting #5: cost 17 inf + 406087 11.318 * * [simplify]: Extracting #6: cost 0 inf + 410440 11.463 * * [simplify]: Extracting #7: cost 0 inf + 410005 11.622 * [simplify]: Simplified to: (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (/ (cos x) x))) (fma (/ (cos x) x) -1 (/ (cos x) x)) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (/ (cos x) x))) (fma (/ (cos x) x) -1 (/ (cos x) x)) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (* (/ (cbrt (cos x)) (cbrt x)) (/ (cbrt (cos x)) (cbrt x))) (/ (cbrt (cos x)) (cbrt x))))) (+ (- (* (* (/ (cbrt (cos x)) (cbrt x)) (/ (cbrt (cos x)) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)))) (* (* (/ (cbrt (cos x)) (cbrt x)) (/ (cbrt (cos x)) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 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(/ (cos x) x)) (* (* (/ (cos x) x) (/ (cos x) x)) (/ (cos x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (* (* (/ (cos x) x) (/ (cos x) x)) (/ (cos x) x)) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (- (cos x)) (- x) (* (/ (cbrt (cos x)) (cbrt x)) (/ (cbrt (cos x)) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (* (/ (cbrt (cos x)) (sqrt x)) (cbrt (cos x))) (/ (cbrt (cos x)) (sqrt x)) (* (cbrt (cos x)) (cbrt (cos x))) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (sqrt (cos x)) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) 1 (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (/ (cos x) (cbrt x)) (cbrt x)) (/ (cos x) (sqrt x)) (cos x) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (cos x)) (- (fma x 1/2 (* 1/720 (pow x 5))) (* 1/24 (* x (* x x)))) (/ (- 1.0 (cos x)) x) (/ (- (- (cos x) 1.0)) x) (- (fma 1/720 (* (* x x) (* x x)) 1/2) (* (* 1/24 x) x)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (fma (* x (* x x)) 1/24 (- (/ 1 x) (* x 1/2))) (/ (cos x) x) (/ (cos x) x) 11.806 * * * [progress]: adding candidates to table 15.028 * [progress]: [Phase 3 of 3] Extracting. 15.028 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 15.030 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 15.030 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # #) 15.127 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 15.208 * * * [regime]: Found split indices: #