16.065 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.150 * * * [progress]: [2/2] Setting up program. 0.154 * [progress]: [Phase 2 of 3] Improving. 0.154 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.155 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.155 * * [simplify]: iteration 0: 6 enodes 0.159 * * [simplify]: iteration 1: 15 enodes 0.161 * * [simplify]: iteration 2: 23 enodes 0.164 * * [simplify]: iteration 3: 28 enodes 0.167 * * [simplify]: iteration 4: 30 enodes 0.170 * * [simplify]: iteration complete: 30 enodes 0.170 * * [simplify]: Extracting #0: cost 1 inf + 0 0.170 * * [simplify]: Extracting #1: cost 8 inf + 0 0.170 * * [simplify]: Extracting #2: cost 12 inf + 42 0.170 * * [simplify]: Extracting #3: cost 7 inf + 447 0.171 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.171 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.171 * * [progress]: iteration 1 / 4 0.171 * * * [progress]: picking best candidate 0.174 * * * * [pick]: Picked # 0.174 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.204 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.222 * * * [progress]: generating series expansions 0.222 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.226 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.226 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.227 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (cos x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (- 1) into -1 0.230 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.231 * [backup-simplify]: Simplify (+ 0) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.233 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.234 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.234 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.234 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.234 * [taylor]: Taking taylor expansion of 1 in x 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [taylor]: Taking taylor expansion of (cos x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (- 1) into -1 0.236 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.236 * [backup-simplify]: Simplify (+ 0) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.238 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.239 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.240 * [backup-simplify]: Simplify 1/2 into 1/2 0.242 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.246 * [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 0.247 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.247 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.249 * [backup-simplify]: Simplify -1/24 into -1/24 0.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.259 * [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 0.259 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.260 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.263 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.263 * [backup-simplify]: Simplify 1/720 into 1/720 0.265 * [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))) 0.266 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.266 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.266 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.266 * [taylor]: Taking taylor expansion of 1 in x 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.267 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of 1 in x 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.268 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.269 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.269 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 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 (- 1 (cos (/ 1 x)))))))) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.289 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.289 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [backup-simplify]: Simplify -1 into -1 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ -1 1) into -1 0.289 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.289 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.290 * [taylor]: Taking taylor expansion of 1 in x 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.290 * [taylor]: Taking taylor expansion of -1 in x 0.290 * [backup-simplify]: Simplify -1 into -1 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ -1 1) into -1 0.290 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.291 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.291 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.291 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.291 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) 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 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.309 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.309 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.309 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (- 1 (cos 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 (cos x) in x 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 0.309 * [taylor]: Taking taylor expansion of (- 1 (cos 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 (cos x) in x 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) into -1 0.310 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ 0) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.312 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.313 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.314 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [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 0.316 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.317 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.317 * [backup-simplify]: Simplify -1/24 into -1/24 0.318 * [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 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.321 * [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 0.321 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.322 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.322 * [backup-simplify]: Simplify 1/720 into 1/720 0.322 * [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))) 0.322 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.322 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.322 * [taylor]: Taking taylor expansion of 1 in x 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.323 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.323 * [taylor]: Taking taylor expansion of 1 in x 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.323 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.323 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.323 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (- 0) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (- 0) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.327 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.327 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.327 * [taylor]: Taking taylor expansion of 1 in x 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.327 * [taylor]: Taking taylor expansion of -1 in x 0.327 * [backup-simplify]: Simplify -1 into -1 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ -1 1) into -1 0.327 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.327 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.327 * [taylor]: Taking taylor expansion of 1 in x 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.327 * [taylor]: Taking taylor expansion of -1 in x 0.327 * [backup-simplify]: Simplify -1 into -1 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ -1 1) into -1 0.328 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.328 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.328 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.328 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.331 * * * [progress]: simplifying candidates 0.331 * * * * [progress]: [ 1 / 53 ] simplifiying candidate # 0.331 * * * * [progress]: [ 2 / 53 ] simplifiying candidate # 0.331 * * * * [progress]: [ 3 / 53 ] simplifiying candidate # 0.331 * * * * [progress]: [ 4 / 53 ] simplifiying candidate # 0.331 * * * * [progress]: [ 5 / 53 ] simplifiying candidate # 0.331 * * * * [progress]: [ 6 / 53 ] simplifiying candidate # 0.331 * * * * [progress]: [ 7 / 53 ] simplifiying candidate # 0.331 * * * * [progress]: [ 8 / 53 ] simplifiying candidate # 0.331 * * * * [progress]: [ 9 / 53 ] simplifiying candidate # 0.331 * * * * [progress]: [ 10 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 11 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 12 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 13 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 14 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 15 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 16 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 17 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 18 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 19 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 20 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 21 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 22 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 23 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 24 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 25 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 26 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 27 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 28 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 29 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 30 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 31 / 53 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.332 * * * * [progress]: [ 32 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 33 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 34 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 35 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 36 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 37 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 38 / 53 ] simplifiying candidate # 0.332 * * * * [progress]: [ 39 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 40 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 41 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 42 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 43 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 44 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 45 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 46 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 47 / 53 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.333 * * * * [progress]: [ 48 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 49 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 50 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 51 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 52 / 53 ] simplifiying candidate # 0.333 * * * * [progress]: [ 53 / 53 ] simplifiying candidate # 0.334 * [simplify]: Simplifying: (- (log (- 1 (cos x))) (+ (log x) (log x))) (- (log (- 1 (cos x))) (log (* x x))) (log (/ (- 1 (cos x)) (* x x))) (exp (/ (- 1 (cos x)) (* x x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (- (- 1 (cos x))) (- (* x x)) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ (sqrt 1) (sqrt (cos x))) x) (/ (- (sqrt 1) (sqrt (cos x))) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (/ (* x x) (- (sqrt 1) (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (cos x))) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* (* x x) (+ 1 (cos x))) (real->posit16 (/ (- 1 (cos x)) (* x x))) (/ (exp 1) (exp (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))) (- (cos x)) (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x)) (+ (sqrt 1) (sqrt (cos x))) (- (sqrt 1) (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1 (cos x)) (pow x 2)) (/ (- 1 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1 (cos x)) (- 1 (cos x)) 0.334 * * [simplify]: iteration 0: 93 enodes 0.371 * * [simplify]: iteration 1: 230 enodes 0.470 * * [simplify]: iteration 2: 777 enodes 1.299 * * [simplify]: iteration 3: 3531 enodes 2.120 * * [simplify]: iteration complete: 5021 enodes 2.120 * * [simplify]: Extracting #0: cost 42 inf + 0 2.122 * * [simplify]: Extracting #1: cost 573 inf + 0 2.127 * * [simplify]: Extracting #2: cost 1527 inf + 5446 2.145 * * [simplify]: Extracting #3: cost 1195 inf + 82717 2.193 * * [simplify]: Extracting #4: cost 277 inf + 261313 2.302 * * [simplify]: Extracting #5: cost 17 inf + 328699 2.390 * * [simplify]: Extracting #6: cost 0 inf + 333567 2.452 * [simplify]: Simplified to: (log (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (log (/ (/ (- 1 (cos x)) x) x)) (exp (/ (/ (- 1 (cos x)) x) x)) (* (/ (/ (- 1 (cos x)) x) x) (* (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x))) (* (/ (/ (- 1 (cos x)) x) x) (* (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x))) (* (cbrt (/ (/ (- 1 (cos x)) x) x)) (cbrt (/ (/ (- 1 (cos x)) x) x))) (cbrt (/ (/ (- 1 (cos x)) x) x)) (* (/ (/ (- 1 (cos x)) x) x) (* (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x))) (sqrt (/ (/ (- 1 (cos x)) x) x)) (sqrt (/ (/ (- 1 (cos x)) x) x)) (+ -1 (cos x)) (* (- x) x) (/ (/ 1 x) x) (/ (cos x) (* x x)) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (/ 1 x) x) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (* (/ x (cbrt (- 1 (cos x)))) x) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (cos x))) (+ (* x x) (* (* x x) (+ (cos x) (* (cos x) (cos x))))) (+ (* x x) (* (* x x) (cos x))) (real->posit16 (/ (/ (- 1 (cos x)) x) x)) (exp (- 1 (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (* (cos x) (cos x)) (cos x))) (+ (+ (cos x) 1) (* (cos x) (cos x))) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (+ (* (* x x) (- (* (* x x) 1/720) 1/24)) 1/2) (/ (/ (- 1 (cos x)) x) x) (/ (/ (- 1 (cos x)) x) x) (+ (* (* x x) (- 1/2 (* 1/24 (* x x)))) (* (* x x) (* 1/720 (* (* x x) (* x x))))) (- 1 (cos x)) (- 1 (cos x)) 2.455 * * * [progress]: adding candidates to table 2.628 * * [progress]: iteration 2 / 4 2.628 * * * [progress]: picking best candidate 2.643 * * * * [pick]: Picked # 2.644 * * * [progress]: localizing error 2.684 * * * [progress]: generating rewritten candidates 2.684 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.712 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.718 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.729 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.746 * * * [progress]: generating series expansions 2.746 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.747 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.747 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 2.747 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.747 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.747 * [taylor]: Taking taylor expansion of (sin x) in x 2.747 * [taylor]: Taking taylor expansion of x in x 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.748 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.748 * [taylor]: Taking taylor expansion of x in x 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify 1 into 1 2.748 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.749 * [taylor]: Taking taylor expansion of (cos x) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [taylor]: Taking taylor expansion of 1 in x 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [backup-simplify]: Simplify (* 1 1) into 1 2.750 * [backup-simplify]: Simplify (* 1 1) into 1 2.750 * [backup-simplify]: Simplify (+ 1 1) into 2 2.751 * [backup-simplify]: Simplify (* 1 2) into 2 2.751 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.751 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 2.751 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.751 * [taylor]: Taking taylor expansion of (sin x) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.753 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 2.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.753 * [taylor]: Taking taylor expansion of (cos x) in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [taylor]: Taking taylor expansion of 1 in x 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (* 1 1) into 1 2.754 * [backup-simplify]: Simplify (* 1 1) into 1 2.754 * [backup-simplify]: Simplify (+ 1 1) into 2 2.754 * [backup-simplify]: Simplify (* 1 2) into 2 2.755 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.755 * [backup-simplify]: Simplify 1/2 into 1/2 2.755 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.756 * [backup-simplify]: Simplify (+ 0) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 2.758 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.759 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.760 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.762 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 2.762 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.762 * [backup-simplify]: Simplify -1/24 into -1/24 2.763 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.765 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 2.767 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.770 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.772 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.772 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 2.776 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 2.776 * [backup-simplify]: Simplify 1/720 into 1/720 2.776 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.777 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) 2.777 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.777 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.777 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.777 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.777 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.777 * [taylor]: Taking taylor expansion of x in x 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (/ 1 1) into 1 2.778 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify 1 into 1 2.779 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.779 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.779 * [taylor]: Taking taylor expansion of x in x 2.779 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (/ 1 1) into 1 2.779 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.779 * [taylor]: Taking taylor expansion of 1 in x 2.779 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.780 * [backup-simplify]: Simplify (* 1 1) into 1 2.780 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.780 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.780 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.780 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 2.780 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 2.780 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.780 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.780 * [taylor]: Taking taylor expansion of x in x 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (/ 1 1) into 1 2.781 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.781 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.781 * [taylor]: Taking taylor expansion of x in x 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.781 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.781 * [taylor]: Taking taylor expansion of x in x 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.782 * [backup-simplify]: Simplify (/ 1 1) into 1 2.782 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.782 * [taylor]: Taking taylor expansion of 1 in x 2.782 * [backup-simplify]: Simplify 1 into 1 2.782 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.782 * [backup-simplify]: Simplify (* 1 1) into 1 2.782 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 2.782 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.783 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.783 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.783 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.784 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.785 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.785 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.786 * [backup-simplify]: Simplify (+ 0 0) into 0 2.786 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.786 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.788 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (+ 0 0) into 0 2.788 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.793 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.794 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.794 * [backup-simplify]: Simplify (+ 0 0) into 0 2.794 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.796 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.797 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.798 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.800 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.801 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.801 * [backup-simplify]: Simplify (+ 0 0) into 0 2.801 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.802 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) 2.802 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.802 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.802 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.802 * [taylor]: Taking taylor expansion of x in x 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.802 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.802 * [taylor]: Taking taylor expansion of -1 in x 2.802 * [backup-simplify]: Simplify -1 into -1 2.802 * [taylor]: Taking taylor expansion of x in x 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (/ -1 1) into -1 2.802 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.802 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.802 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.802 * [taylor]: Taking taylor expansion of -1 in x 2.802 * [backup-simplify]: Simplify -1 into -1 2.802 * [taylor]: Taking taylor expansion of x in x 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (/ -1 1) into -1 2.803 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.803 * [taylor]: Taking taylor expansion of 1 in x 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (* 1 1) into 1 2.803 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.803 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.803 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.803 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.803 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 2.803 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 2.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.803 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.803 * [taylor]: Taking taylor expansion of -1 in x 2.803 * [backup-simplify]: Simplify -1 into -1 2.803 * [taylor]: Taking taylor expansion of x in x 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (/ -1 1) into -1 2.804 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.804 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.804 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.804 * [taylor]: Taking taylor expansion of -1 in x 2.804 * [backup-simplify]: Simplify -1 into -1 2.804 * [taylor]: Taking taylor expansion of x in x 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (/ -1 1) into -1 2.804 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.804 * [taylor]: Taking taylor expansion of 1 in x 2.804 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (* 1 1) into 1 2.805 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.805 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 2.805 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.805 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.805 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.805 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 2.806 * [backup-simplify]: Simplify (+ 0 0) into 0 2.806 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.806 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 2.811 * [backup-simplify]: Simplify (+ 0 0) into 0 2.811 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 2.814 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 2.819 * [backup-simplify]: Simplify (+ 0 0) into 0 2.820 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 2.827 * [backup-simplify]: Simplify (+ 0 0) into 0 2.828 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 2.828 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.828 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 2.829 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 2.829 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.829 * [taylor]: Taking taylor expansion of (cos x) in x 2.829 * [taylor]: Taking taylor expansion of x in x 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 1 into 1 2.829 * [taylor]: Taking taylor expansion of 1 in x 2.829 * [backup-simplify]: Simplify 1 into 1 2.829 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.829 * [taylor]: Taking taylor expansion of (cos x) in x 2.829 * [taylor]: Taking taylor expansion of x in x 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 1 into 1 2.829 * [taylor]: Taking taylor expansion of 1 in x 2.829 * [backup-simplify]: Simplify 1 into 1 2.829 * [backup-simplify]: Simplify (+ 1 1) into 2 2.829 * [backup-simplify]: Simplify 2 into 2 2.830 * [backup-simplify]: Simplify (+ 0) into 0 2.830 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.832 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.832 * [backup-simplify]: Simplify -1/2 into -1/2 2.833 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.837 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.837 * [backup-simplify]: Simplify 1/24 into 1/24 2.837 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) 2.837 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 2.837 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 2.837 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.837 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.838 * [taylor]: Taking taylor expansion of x in x 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.838 * [backup-simplify]: Simplify (/ 1 1) into 1 2.838 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.838 * [taylor]: Taking taylor expansion of 1 in x 2.838 * [backup-simplify]: Simplify 1 into 1 2.838 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.838 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.838 * [taylor]: Taking taylor expansion of x in x 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.839 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.839 * [taylor]: Taking taylor expansion of 1 in x 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.839 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (+ 0 0) into 0 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (+ 0 0) into 0 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 2.842 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 2.843 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 2.843 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.843 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.843 * [taylor]: Taking taylor expansion of -1 in x 2.843 * [backup-simplify]: Simplify -1 into -1 2.843 * [taylor]: Taking taylor expansion of x in x 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (/ -1 1) into -1 2.843 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.843 * [taylor]: Taking taylor expansion of 1 in x 2.843 * [backup-simplify]: Simplify 1 into 1 2.843 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.843 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.843 * [taylor]: Taking taylor expansion of -1 in x 2.843 * [backup-simplify]: Simplify -1 into -1 2.843 * [taylor]: Taking taylor expansion of x in x 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 1 into 1 2.844 * [backup-simplify]: Simplify (/ -1 1) into -1 2.844 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.844 * [taylor]: Taking taylor expansion of 1 in x 2.844 * [backup-simplify]: Simplify 1 into 1 2.844 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.844 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.845 * [backup-simplify]: Simplify (+ 0 0) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (+ 0 0) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 2.847 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.847 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 2.847 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 2.847 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.847 * [taylor]: Taking taylor expansion of (sin x) in x 2.847 * [taylor]: Taking taylor expansion of x in x 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.848 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.848 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.848 * [taylor]: Taking taylor expansion of (sin x) in x 2.848 * [taylor]: Taking taylor expansion of x in x 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.850 * [backup-simplify]: Simplify (* 1 1) into 1 2.850 * [backup-simplify]: Simplify 1 into 1 2.850 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.854 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.854 * [backup-simplify]: Simplify -1/3 into -1/3 2.855 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.857 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.863 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.863 * [backup-simplify]: Simplify 2/45 into 2/45 2.863 * [backup-simplify]: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) 2.863 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.864 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 2.864 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.864 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.864 * [taylor]: Taking taylor expansion of x in x 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 1 into 1 2.864 * [backup-simplify]: Simplify (/ 1 1) into 1 2.864 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.864 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.864 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.864 * [taylor]: Taking taylor expansion of x in x 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (/ 1 1) into 1 2.865 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.865 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.865 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 2.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.866 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 2.870 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 2.870 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 2.870 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.870 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.870 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.870 * [taylor]: Taking taylor expansion of -1 in x 2.870 * [backup-simplify]: Simplify -1 into -1 2.870 * [taylor]: Taking taylor expansion of x in x 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 1 into 1 2.871 * [backup-simplify]: Simplify (/ -1 1) into -1 2.871 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.871 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.871 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.871 * [taylor]: Taking taylor expansion of -1 in x 2.871 * [backup-simplify]: Simplify -1 into -1 2.871 * [taylor]: Taking taylor expansion of x in x 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 1 into 1 2.871 * [backup-simplify]: Simplify (/ -1 1) into -1 2.871 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.871 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.871 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 2.872 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.874 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 2.876 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.876 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.876 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 2.876 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.876 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.876 * [taylor]: Taking taylor expansion of (sin x) in x 2.876 * [taylor]: Taking taylor expansion of x in x 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.876 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.877 * [taylor]: Taking taylor expansion of (cos x) in x 2.877 * [taylor]: Taking taylor expansion of x in x 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [taylor]: Taking taylor expansion of 1 in x 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [backup-simplify]: Simplify (* 1 1) into 1 2.877 * [backup-simplify]: Simplify (+ 1 1) into 2 2.877 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.877 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 2.877 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.877 * [taylor]: Taking taylor expansion of (sin x) in x 2.877 * [taylor]: Taking taylor expansion of x in x 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.878 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 2.878 * [taylor]: Taking taylor expansion of (cos x) in x 2.878 * [taylor]: Taking taylor expansion of x in x 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [taylor]: Taking taylor expansion of 1 in x 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (* 1 1) into 1 2.879 * [backup-simplify]: Simplify (+ 1 1) into 2 2.879 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.879 * [backup-simplify]: Simplify 1/2 into 1/2 2.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.880 * [backup-simplify]: Simplify (+ 0) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.882 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.883 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.883 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.884 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 2.884 * [backup-simplify]: Simplify -1/24 into -1/24 2.885 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.887 * [backup-simplify]: Simplify (+ 0 0) into 0 2.888 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.892 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 2.893 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.894 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 2.895 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 2.895 * [backup-simplify]: Simplify 1/720 into 1/720 2.895 * [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))) 2.895 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.895 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 2.895 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.895 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.895 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.895 * [taylor]: Taking taylor expansion of x in x 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.896 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.896 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.896 * [taylor]: Taking taylor expansion of x in x 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.896 * [taylor]: Taking taylor expansion of 1 in x 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.896 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.897 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.897 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 2.897 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.897 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.897 * [taylor]: Taking taylor expansion of x in x 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.897 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 2.897 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.897 * [taylor]: Taking taylor expansion of x in x 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.897 * [taylor]: Taking taylor expansion of 1 in x 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 2.898 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 2.898 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.898 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 2.898 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 2.898 * [backup-simplify]: Simplify (+ 0 0) into 0 2.898 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 2.900 * [backup-simplify]: Simplify (+ 0 0) into 0 2.900 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 2.901 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 2.907 * [backup-simplify]: Simplify (+ 0 0) into 0 2.907 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 2.909 * [backup-simplify]: Simplify (+ 0 0) into 0 2.909 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.909 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.909 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 2.909 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.910 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.910 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.910 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.910 * [taylor]: Taking taylor expansion of -1 in x 2.910 * [backup-simplify]: Simplify -1 into -1 2.910 * [taylor]: Taking taylor expansion of x in x 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (/ -1 1) into -1 2.910 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.910 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.910 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.910 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.910 * [taylor]: Taking taylor expansion of -1 in x 2.910 * [backup-simplify]: Simplify -1 into -1 2.910 * [taylor]: Taking taylor expansion of x in x 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (/ -1 1) into -1 2.910 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.910 * [taylor]: Taking taylor expansion of 1 in x 2.910 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.911 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.911 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.911 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 2.911 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.911 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.911 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.911 * [taylor]: Taking taylor expansion of -1 in x 2.911 * [backup-simplify]: Simplify -1 into -1 2.911 * [taylor]: Taking taylor expansion of x in x 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (/ -1 1) into -1 2.911 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.911 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 2.911 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.911 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.911 * [taylor]: Taking taylor expansion of -1 in x 2.911 * [backup-simplify]: Simplify -1 into -1 2.911 * [taylor]: Taking taylor expansion of x in x 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (/ -1 1) into -1 2.912 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.912 * [taylor]: Taking taylor expansion of 1 in x 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 2.912 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 2.912 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.912 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 2.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 2.912 * [backup-simplify]: Simplify (+ 0 0) into 0 2.913 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.914 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 2.914 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.916 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 2.919 * [backup-simplify]: Simplify (+ 0 0) into 0 2.920 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 2.920 * * * [progress]: simplifying candidates 2.920 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.920 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 2.921 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 2.922 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 2.922 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 2.922 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 2.923 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 2.923 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 2.924 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 2.924 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 2.925 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 2.925 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 2.925 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 2.925 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 2.925 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 2.925 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 2.925 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 2.925 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 2.925 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 2.925 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 2.925 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 2.926 * [simplify]: Simplifying: (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x)) (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x) (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x) (/ 1 x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) (/ (* (sin x) (sin x)) x) (/ (/ 1 (+ 1 (cos x))) x) (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x) (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (+ 1 (cos x)))) (/ (* x x) (/ (sin x) (+ 1 (cos x)))) (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (/ 1 (+ 1 (cos x)))) (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (/ (* x x) (- 1 (cos x))) (* (* x x) (+ 1 (cos x))) (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (exp 1) (exp (cos x))) (log (+ 1 (cos x))) (exp (+ 1 (cos x))) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) (- (* 1 1) (* (cos x) (cos x))) (- 1 (cos x)) (+ 1 (cos x)) (real->posit16 (+ 1 (cos x))) (* 1/2 (cos (* 2 x))) (- (cos (- x x)) (cos (+ x x))) (+ 1 1) (* (sin x) (sin x)) (+ 1 1) (+ (log (sin x)) (log (sin x))) (log (* (sin x) (sin x))) (exp (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (sqrt (* (sin x) (sin x))) (sqrt (* (sin x) (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))) (* (cbrt (sin x)) (cbrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* 1 1) (* (sin x) (sin x)) (* (sqrt (sin x)) (sqrt (sin x))) (* (sqrt (sin x)) (sqrt (sin x))) (* 2 1) (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (* (sin x) (sqrt (sin x))) (* (sin x) 1) (* (cbrt (sin x)) (sin x)) (* (sqrt (sin x)) (sin x)) (* (sin x) (sin x)) (real->posit16 (* (sin x) (sin x))) (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* (sin x) (sin x))) (- (+ 1 (cos x))) (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (/ (* (sin x) (sin x)) 1) (/ (* (sin x) (sin x)) 1) (/ (+ 1 (cos x)) (sin x)) (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (* (+ 1 (cos x)) 2) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) (+ (cos x) 1) (+ (cos x) 1) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (/ (pow (sin x) 2) (+ (cos x) 1)) (/ (pow (sin x) 2) (+ (cos x) 1)) 2.928 * * [simplify]: iteration 0: 182 enodes 2.972 * * [simplify]: iteration 1: 507 enodes 3.601 * * [simplify]: iteration 2: 2002 enodes 4.340 * * [simplify]: iteration complete: 5001 enodes 4.340 * * [simplify]: Extracting #0: cost 95 inf + 0 4.344 * * [simplify]: Extracting #1: cost 832 inf + 2 4.358 * * [simplify]: Extracting #2: cost 1639 inf + 23106 4.404 * * [simplify]: Extracting #3: cost 1051 inf + 185910 4.501 * * [simplify]: Extracting #4: cost 190 inf + 440064 4.591 * * [simplify]: Extracting #5: cost 8 inf + 495915 4.717 * * [simplify]: Extracting #6: cost 0 inf + 496045 4.892 * * [simplify]: Extracting #7: cost 0 inf + 496005 5.034 * [simplify]: Simplified to: (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (* (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (cbrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)))) (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (sqrt (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (- x) x) (/ 1/2 (+ (* (* x x) (cos x)) (* x x))) (/ (cos (+ x x)) (/ (+ (* (* x x) (cos x)) (* x x)) 1/2)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) (* (cbrt (+ 1 (cos x))) x)) (/ (/ (sin x) (cbrt (+ 1 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(* x x) (- 1 (cos x))) (+ (* (* x x) (cos x)) (* x x)) (real->posit16 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (exp (+ 1 (cos x))) (log (+ 1 (cos x))) (exp (+ 1 (cos x))) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))) (+ (* (cos x) (* (cos x) (cos x))) 1) (+ (- (* (cos x) (cos x)) (cos x)) 1) (* (sin x) (sin x)) (- 1 (cos x)) (+ 1 (cos x)) (real->posit16 (+ 1 (cos x))) (* (cos (+ x x)) 1/2) (- 1 (cos (+ x x))) 2 (* (sin x) (sin x)) 2 (log (* (sin x) (sin x))) (log (* (sin x) (sin x))) (exp (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x))) (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (fabs (sin x)) (fabs (sin x)) (* (sin x) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))) (sin x) (sin x) 1 (* (sin x) (sin x)) (sin x) (sin x) 2 (* (* (sin x) (cbrt (sin x))) (cbrt (sin x))) (* (sqrt (sin x)) (sin x)) (sin x) (* (sin x) (cbrt (sin x))) (* (sqrt (sin x)) (sin x)) (* (sin x) (sin x)) (real->posit16 (* (sin x) (sin x))) (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* (sin x) (sin x))) (- -1 (cos x)) (/ 1/2 (+ 1 (cos x))) (/ (cos (+ x x)) (/ (+ 1 (cos x)) 1/2)) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (sin x) (tan (/ x 2)) (sin x) (tan (/ x 2)) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (* (sin x) (sin x)) (* (sin x) (sin x)) (/ (+ 1 (cos x)) (sin x)) (- (/ 1 (+ (* (cos x) (* (cos x) (cos x))) 1)) (/ (* (cos x) (cos x)) (+ (* (cos x) (* (cos x) (cos x))) 1))) (/ (* (sin x) (sin x)) (* (sin x) (sin x))) (+ 2 (* (cos x) 2)) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ 1/2 (- (* (* (* x x) (* x x)) 1/720) (* 1/24 (* x x)))) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (- (+ (* 1/24 (* (* x x) (* x x))) 2) (* (* x x) 1/2)) (+ (cos x) 1) (+ (cos x) 1) (+ (* (* (* x x) (* x x)) -1/3) (+ (* x x) (* 2/45 (* (* (* x x) (* x x)) (* x x))))) (* (sin x) (sin x)) (* (sin x) (sin x)) (+ (* (* x x) 1/2) (- (* 1/720 (* (* (* x x) (* x x)) (* x x))) (* 1/24 (* (* x x) (* x x))))) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) 5.040 * * * [progress]: adding candidates to table 5.479 * * [progress]: iteration 3 / 4 5.479 * * * [progress]: picking best candidate 5.493 * * * * [pick]: Picked # 5.493 * * * [progress]: localizing error 5.513 * * * [progress]: generating rewritten candidates 5.513 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 5.524 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 5.534 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 5.551 * * * [progress]: generating series expansions 5.551 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 5.552 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 5.552 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 5.552 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 5.552 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.553 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.554 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.554 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.554 * [taylor]: Taking taylor expansion of 1/2 in x 5.554 * [backup-simplify]: Simplify 1/2 into 1/2 5.554 * [taylor]: Taking taylor expansion of x in x 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 1 into 1 5.554 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.555 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.555 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.555 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.555 * [taylor]: Taking taylor expansion of 1/2 in x 5.555 * [backup-simplify]: Simplify 1/2 into 1/2 5.555 * [taylor]: Taking taylor expansion of x in x 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 1 into 1 5.556 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.557 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.558 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.558 * [taylor]: Taking taylor expansion of x in x 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.558 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 5.558 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.559 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.559 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.559 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.559 * [taylor]: Taking taylor expansion of 1/2 in x 5.559 * [backup-simplify]: Simplify 1/2 into 1/2 5.559 * [taylor]: Taking taylor expansion of x in x 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.560 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.560 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.560 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.560 * [taylor]: Taking taylor expansion of 1/2 in x 5.560 * [backup-simplify]: Simplify 1/2 into 1/2 5.560 * [taylor]: Taking taylor expansion of x in x 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 1 into 1 5.561 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.561 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.563 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.563 * [taylor]: Taking taylor expansion of x in x 5.563 * [backup-simplify]: Simplify 0 into 0 5.563 * [backup-simplify]: Simplify 1 into 1 5.563 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.563 * [backup-simplify]: Simplify 1/2 into 1/2 5.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.565 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.566 * [backup-simplify]: Simplify (+ 0) into 0 5.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 5.571 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.573 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 5.574 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 5.574 * [backup-simplify]: Simplify 1/24 into 1/24 5.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.577 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.580 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 5.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 5.588 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 5.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.599 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.601 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 5.603 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 5.603 * [backup-simplify]: Simplify 1/240 into 1/240 5.603 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) 5.604 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 5.604 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 5.604 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 5.604 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.604 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.604 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.604 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.604 * [taylor]: Taking taylor expansion of 1/2 in x 5.604 * [backup-simplify]: Simplify 1/2 into 1/2 5.604 * [taylor]: Taking taylor expansion of x in x 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.605 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.605 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.605 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.605 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.605 * [taylor]: Taking taylor expansion of 1/2 in x 5.605 * [backup-simplify]: Simplify 1/2 into 1/2 5.605 * [taylor]: Taking taylor expansion of x in x 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify 1 into 1 5.605 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.605 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.606 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.606 * [taylor]: Taking taylor expansion of x in x 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.606 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 5.606 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.606 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.606 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.606 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.606 * [taylor]: Taking taylor expansion of 1/2 in x 5.606 * [backup-simplify]: Simplify 1/2 into 1/2 5.606 * [taylor]: Taking taylor expansion of x in x 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.606 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.607 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.607 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.607 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.607 * [taylor]: Taking taylor expansion of 1/2 in x 5.607 * [backup-simplify]: Simplify 1/2 into 1/2 5.607 * [taylor]: Taking taylor expansion of x in x 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.608 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.608 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.608 * [taylor]: Taking taylor expansion of x in x 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 5.608 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.609 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.610 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.610 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.611 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.612 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.612 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.614 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.616 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.616 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.618 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.618 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.621 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 5.621 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 5.621 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 5.621 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 5.621 * [taylor]: Taking taylor expansion of -1 in x 5.622 * [backup-simplify]: Simplify -1 into -1 5.622 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 5.622 * [taylor]: Taking taylor expansion of x in x 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify 1 into 1 5.622 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.622 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.622 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.622 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.622 * [taylor]: Taking taylor expansion of -1/2 in x 5.622 * [backup-simplify]: Simplify -1/2 into -1/2 5.622 * [taylor]: Taking taylor expansion of x in x 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify 1 into 1 5.622 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.623 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.623 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.623 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.623 * [taylor]: Taking taylor expansion of -1/2 in x 5.623 * [backup-simplify]: Simplify -1/2 into -1/2 5.623 * [taylor]: Taking taylor expansion of x in x 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify 1 into 1 5.623 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.623 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.623 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.623 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 5.624 * [taylor]: Taking taylor expansion of -1 in x 5.624 * [backup-simplify]: Simplify -1 into -1 5.624 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 5.624 * [taylor]: Taking taylor expansion of x in x 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.624 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.624 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.624 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.624 * [taylor]: Taking taylor expansion of -1/2 in x 5.624 * [backup-simplify]: Simplify -1/2 into -1/2 5.624 * [taylor]: Taking taylor expansion of x in x 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.625 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.625 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.625 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.625 * [taylor]: Taking taylor expansion of -1/2 in x 5.625 * [backup-simplify]: Simplify -1/2 into -1/2 5.625 * [taylor]: Taking taylor expansion of x in x 5.625 * [backup-simplify]: Simplify 0 into 0 5.625 * [backup-simplify]: Simplify 1 into 1 5.625 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.625 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.625 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.626 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 5.626 * [backup-simplify]: Simplify (* -1 0) into 0 5.626 * [backup-simplify]: Simplify 0 into 0 5.626 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 5.627 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.628 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.628 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 5.628 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 5.630 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 5.630 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 5.633 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 5.633 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 5.637 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 5.642 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 5.642 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 5.646 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 5.646 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 5.649 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 5.649 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 5.650 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 5.650 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 5.650 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 5.650 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 5.650 * [taylor]: Taking taylor expansion of (sin x) in x 5.650 * [taylor]: Taking taylor expansion of x in x 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify 1 into 1 5.650 * [taylor]: Taking taylor expansion of x in x 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify 1 into 1 5.650 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.651 * [backup-simplify]: Simplify (/ 1 1) into 1 5.651 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 5.651 * [taylor]: Taking taylor expansion of (sin x) in x 5.651 * [taylor]: Taking taylor expansion of x in x 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 1 into 1 5.651 * [taylor]: Taking taylor expansion of x in x 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 1 into 1 5.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.652 * [backup-simplify]: Simplify (/ 1 1) into 1 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.654 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 5.654 * [backup-simplify]: Simplify -1/6 into -1/6 5.655 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 5.656 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 5.660 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 5.660 * [backup-simplify]: Simplify 1/120 into 1/120 5.660 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) 5.660 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 5.660 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 5.660 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 5.660 * [taylor]: Taking taylor expansion of x in x 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.660 * [taylor]: Taking taylor expansion of x in x 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [backup-simplify]: Simplify (/ 1 1) into 1 5.660 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.660 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 5.660 * [taylor]: Taking taylor expansion of x in x 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.661 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.661 * [taylor]: Taking taylor expansion of x in x 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify 1 into 1 5.661 * [backup-simplify]: Simplify (/ 1 1) into 1 5.661 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.661 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 5.661 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 5.662 * [backup-simplify]: Simplify 0 into 0 5.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 5.663 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 5.665 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 5.667 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 5.669 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 5.669 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 5.669 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 5.669 * [taylor]: Taking taylor expansion of -1 in x 5.669 * [backup-simplify]: Simplify -1 into -1 5.669 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 5.669 * [taylor]: Taking taylor expansion of x in x 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify 1 into 1 5.669 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.669 * [taylor]: Taking taylor expansion of -1 in x 5.669 * [backup-simplify]: Simplify -1 into -1 5.669 * [taylor]: Taking taylor expansion of x in x 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify 1 into 1 5.669 * [backup-simplify]: Simplify (/ -1 1) into -1 5.669 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.669 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 5.669 * [taylor]: Taking taylor expansion of -1 in x 5.670 * [backup-simplify]: Simplify -1 into -1 5.670 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 5.670 * [taylor]: Taking taylor expansion of x in x 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.670 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.670 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.670 * [taylor]: Taking taylor expansion of -1 in x 5.670 * [backup-simplify]: Simplify -1 into -1 5.670 * [taylor]: Taking taylor expansion of x in x 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.670 * [backup-simplify]: Simplify (/ -1 1) into -1 5.670 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.670 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 5.670 * [backup-simplify]: Simplify (* -1 0) into 0 5.670 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 5.671 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 5.671 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 5.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 5.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 5.672 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 5.674 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 5.674 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 5.676 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 5.676 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 5.681 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 5.686 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 5.686 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 5.691 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 5.691 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 5.691 * * * * [progress]: [ 3 / 3 ] generating series at (2) 5.691 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 5.691 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 5.692 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 5.692 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 5.692 * [taylor]: Taking taylor expansion of (sin x) in x 5.692 * [taylor]: Taking taylor expansion of x in x 5.692 * [backup-simplify]: Simplify 0 into 0 5.692 * [backup-simplify]: Simplify 1 into 1 5.692 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.692 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.692 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.692 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.692 * [taylor]: Taking taylor expansion of 1/2 in x 5.692 * [backup-simplify]: Simplify 1/2 into 1/2 5.692 * [taylor]: Taking taylor expansion of x in x 5.692 * [backup-simplify]: Simplify 0 into 0 5.692 * [backup-simplify]: Simplify 1 into 1 5.692 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.693 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.693 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.693 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.693 * [taylor]: Taking taylor expansion of 1/2 in x 5.693 * [backup-simplify]: Simplify 1/2 into 1/2 5.693 * [taylor]: Taking taylor expansion of x in x 5.693 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify 1 into 1 5.694 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.694 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.695 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.696 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.696 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (* 0 1/2) into 0 5.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.698 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.698 * [backup-simplify]: Simplify (+ 0) into 0 5.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.701 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 5.701 * [backup-simplify]: Simplify (* 1 1) into 1 5.701 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.701 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 5.701 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 5.701 * [taylor]: Taking taylor expansion of (sin x) in x 5.702 * [taylor]: Taking taylor expansion of x in x 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify 1 into 1 5.702 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 5.702 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 5.702 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 5.702 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.702 * [taylor]: Taking taylor expansion of 1/2 in x 5.702 * [backup-simplify]: Simplify 1/2 into 1/2 5.702 * [taylor]: Taking taylor expansion of x in x 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify 1 into 1 5.702 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.703 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.703 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 5.703 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.703 * [taylor]: Taking taylor expansion of 1/2 in x 5.703 * [backup-simplify]: Simplify 1/2 into 1/2 5.703 * [taylor]: Taking taylor expansion of x in x 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.704 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.704 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 5.706 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.706 * [taylor]: Taking taylor expansion of x in x 5.706 * [backup-simplify]: Simplify 0 into 0 5.706 * [backup-simplify]: Simplify 1 into 1 5.706 * [backup-simplify]: Simplify (* 0 1/2) into 0 5.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.708 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.708 * [backup-simplify]: Simplify (+ 0) into 0 5.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.711 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 5.711 * [backup-simplify]: Simplify (* 1 1) into 1 5.711 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.711 * [backup-simplify]: Simplify 1/2 into 1/2 5.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 5.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.720 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 5.720 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.722 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 5.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.723 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.726 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.728 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 5.730 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 5.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.732 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.732 * [backup-simplify]: Simplify -1/24 into -1/24 5.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 5.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 5.739 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 5.740 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.741 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 5.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.742 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.745 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.748 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 5.751 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 5.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 5.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.754 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.754 * [backup-simplify]: Simplify 1/720 into 1/720 5.754 * [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))) 5.754 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 5.754 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 5.754 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 5.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.754 * [taylor]: Taking taylor expansion of x in x 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 5.754 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.754 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.754 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.754 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.754 * [taylor]: Taking taylor expansion of 1/2 in x 5.754 * [backup-simplify]: Simplify 1/2 into 1/2 5.754 * [taylor]: Taking taylor expansion of x in x 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 1 into 1 5.755 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.755 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.755 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.755 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.755 * [taylor]: Taking taylor expansion of 1/2 in x 5.755 * [backup-simplify]: Simplify 1/2 into 1/2 5.755 * [taylor]: Taking taylor expansion of x in x 5.755 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify 1 into 1 5.755 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.755 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.755 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.755 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.755 * [taylor]: Taking taylor expansion of x in x 5.755 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify 1 into 1 5.756 * [backup-simplify]: Simplify (/ 1 1) into 1 5.756 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.756 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 5.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.756 * [taylor]: Taking taylor expansion of x in x 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 1 into 1 5.756 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 5.756 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 5.756 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.756 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 5.756 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.756 * [taylor]: Taking taylor expansion of 1/2 in x 5.756 * [backup-simplify]: Simplify 1/2 into 1/2 5.756 * [taylor]: Taking taylor expansion of x in x 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 1 into 1 5.756 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.756 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 5.756 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 5.756 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.756 * [taylor]: Taking taylor expansion of 1/2 in x 5.756 * [backup-simplify]: Simplify 1/2 into 1/2 5.756 * [taylor]: Taking taylor expansion of x in x 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 1 into 1 5.757 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.757 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 5.757 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5.757 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.757 * [taylor]: Taking taylor expansion of x in x 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 1 into 1 5.757 * [backup-simplify]: Simplify (/ 1 1) into 1 5.757 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.758 * [backup-simplify]: Simplify (* 1 1) into 1 5.758 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.758 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.758 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5.758 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 5.758 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 5.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 5.759 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.760 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 5.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.764 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 5.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 5.766 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.769 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 5.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.775 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 5.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 5.780 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 5.783 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 5.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 5.788 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 5.789 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 5.789 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 5.789 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 5.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.789 * [taylor]: Taking taylor expansion of x in x 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.789 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 5.789 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.789 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.789 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.789 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.789 * [taylor]: Taking taylor expansion of -1/2 in x 5.789 * [backup-simplify]: Simplify -1/2 into -1/2 5.789 * [taylor]: Taking taylor expansion of x in x 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.790 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.790 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.790 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.790 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.790 * [taylor]: Taking taylor expansion of -1/2 in x 5.790 * [backup-simplify]: Simplify -1/2 into -1/2 5.790 * [taylor]: Taking taylor expansion of x in x 5.790 * [backup-simplify]: Simplify 0 into 0 5.790 * [backup-simplify]: Simplify 1 into 1 5.791 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.791 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.791 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.791 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.791 * [taylor]: Taking taylor expansion of -1 in x 5.791 * [backup-simplify]: Simplify -1 into -1 5.791 * [taylor]: Taking taylor expansion of x in x 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify (/ -1 1) into -1 5.792 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.792 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 5.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.792 * [taylor]: Taking taylor expansion of x in x 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 1 into 1 5.792 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 5.792 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 5.792 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.792 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 5.792 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.792 * [taylor]: Taking taylor expansion of -1/2 in x 5.792 * [backup-simplify]: Simplify -1/2 into -1/2 5.792 * [taylor]: Taking taylor expansion of x in x 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 1 into 1 5.793 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.793 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 5.793 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 5.793 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.793 * [taylor]: Taking taylor expansion of -1/2 in x 5.793 * [backup-simplify]: Simplify -1/2 into -1/2 5.793 * [taylor]: Taking taylor expansion of x in x 5.793 * [backup-simplify]: Simplify 0 into 0 5.793 * [backup-simplify]: Simplify 1 into 1 5.793 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.794 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 5.794 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5.794 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.794 * [taylor]: Taking taylor expansion of -1 in x 5.794 * [backup-simplify]: Simplify -1 into -1 5.794 * [taylor]: Taking taylor expansion of x in x 5.794 * [backup-simplify]: Simplify 0 into 0 5.794 * [backup-simplify]: Simplify 1 into 1 5.794 * [backup-simplify]: Simplify (/ -1 1) into -1 5.795 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.795 * [backup-simplify]: Simplify (* 1 1) into 1 5.795 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.796 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.796 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5.796 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 5.796 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 5.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.799 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 5.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 5.801 * [backup-simplify]: Simplify 0 into 0 5.801 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.802 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 5.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 5.805 * [backup-simplify]: Simplify 0 into 0 5.805 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.807 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 5.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 5.810 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.813 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 5.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 5.816 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 5.819 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 5.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 5.823 * * * [progress]: simplifying candidates 5.823 * * * * [progress]: [ 1 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 2 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 3 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 4 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 5 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 6 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 7 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 8 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 9 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 10 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 11 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 12 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 13 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 14 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 15 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 16 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 17 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 18 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 19 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 20 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 21 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 22 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 23 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 24 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 25 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 26 / 117 ] simplifiying candidate # 5.824 * * * * [progress]: [ 27 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 28 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 29 / 117 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 5.825 * * * * [progress]: [ 30 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 31 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 32 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 33 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 34 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 35 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 36 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 37 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 38 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 39 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 40 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 41 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 42 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 43 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 44 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 45 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 46 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 47 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 48 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 49 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 50 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 51 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 52 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 53 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 54 / 117 ] simplifiying candidate # 5.825 * * * * [progress]: [ 55 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 56 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 57 / 117 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 5.826 * * * * [progress]: [ 58 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 59 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 60 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 61 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 62 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 63 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 64 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 65 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 66 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 67 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 68 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 69 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 70 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 71 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 72 / 117 ] simplifiying candidate # 5.826 * * * * [progress]: [ 73 / 117 ] simplifiying candidate # 5.827 * * * * [progress]: [ 74 / 117 ] simplifiying candidate # 5.827 * * * * [progress]: [ 75 / 117 ] simplifiying candidate # 5.827 * * * * [progress]: [ 76 / 117 ] simplifiying candidate # 5.827 * * * * [progress]: [ 77 / 117 ] simplifiying candidate # 5.827 * * * * [progress]: [ 78 / 117 ] simplifiying candidate # 5.828 * * * * [progress]: [ 79 / 117 ] simplifiying candidate # 5.828 * * * * [progress]: [ 80 / 117 ] simplifiying candidate # 5.828 * * * * [progress]: [ 81 / 117 ] simplifiying candidate # 5.828 * * * * [progress]: [ 82 / 117 ] simplifiying candidate # 5.828 * * * * [progress]: [ 83 / 117 ] simplifiying candidate # 5.828 * * * * [progress]: [ 84 / 117 ] simplifiying candidate # 5.828 * * * * [progress]: [ 85 / 117 ] simplifiying candidate # 5.828 * * * * [progress]: [ 86 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 87 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 88 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 89 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 90 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 91 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 92 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 93 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 94 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 95 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 96 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 97 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 98 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 99 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 100 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 101 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 102 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 103 / 117 ] simplifiying candidate # 5.829 * * * * [progress]: [ 104 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 105 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 106 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 107 / 117 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 5.830 * * * * [progress]: [ 108 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 109 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 110 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 111 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 112 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 113 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 114 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 115 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 116 / 117 ] simplifiying candidate # 5.830 * * * * [progress]: [ 117 / 117 ] simplifiying candidate # 5.831 * [simplify]: Simplifying: (- (log (tan (/ x 2))) (log x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ 1 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (/ (tan (/ x 2)) 1) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x))) (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x))) (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x))) (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ 1 (sqrt x))) (* (/ (sin x) x) (/ 1 1)) (* (/ (sin x) x) 1) (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ 1 x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (tan (/ x 2))) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 5.833 * * [simplify]: iteration 0: 166 enodes 5.868 * * [simplify]: iteration 1: 448 enodes 6.081 * * [simplify]: iteration 2: 1577 enodes 7.265 * * [simplify]: iteration complete: 5000 enodes 7.266 * * [simplify]: Extracting #0: cost 101 inf + 0 7.269 * * [simplify]: Extracting #1: cost 665 inf + 1 7.278 * * [simplify]: Extracting #2: cost 1405 inf + 3653 7.310 * * [simplify]: Extracting #3: cost 797 inf + 181541 7.381 * * [simplify]: Extracting #4: cost 74 inf + 411953 7.471 * * [simplify]: Extracting #5: cost 0 inf + 424733 7.572 * * [simplify]: Extracting #6: cost 0 inf + 423005 7.685 * [simplify]: Simplified to: (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (/ (tan (/ x 2)) (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (/ (sqrt x) (cbrt (sin x)))) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (/ (sqrt (sin x)) (cbrt x)) (cbrt x)) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (/ (sin x) (cbrt x)) (cbrt x)) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (log (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (log (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (log (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (log (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (log (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (exp (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (* (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (cbrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (* (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x))) (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (sqrt (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (* (tan (/ x 2)) (sin x)) (* x x) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (/ (sqrt (sin x)) (/ (sqrt x) (sqrt (/ (tan (/ x 2)) x)))) (/ (sqrt (sin x)) (/ (sqrt x) (sqrt (/ (tan (/ x 2)) x)))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (sin x)) (sqrt x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (sin x)) (sqrt x))) (* (cbrt (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (cbrt (/ (tan (/ x 2)) x)))) (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (/ (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (sin x))) x) (/ (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (* (cbrt (tan (/ x 2))) (* (cbrt (tan (/ x 2))) (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (/ (sin x) x) (cbrt x))) (/ (/ (* (sin x) (sqrt (tan (/ x 2)))) (sqrt x)) x) (/ (* (sin x) (sqrt (tan (/ x 2)))) x) (/ (/ (/ (sin x) (cbrt x)) (cbrt x)) x) (/ (/ (sin x) x) (sqrt x)) (/ (sin x) x) (/ (sin x) x) (* (sin x) (/ (tan (/ x 2)) x)) (/ (cbrt (/ (sin x) x)) (/ x (tan (/ x 2)))) (* (/ (tan (/ x 2)) x) (sqrt (/ (sin x) x))) (/ (* (/ (tan (/ x 2)) x) (cbrt (sin x))) (cbrt x)) (/ (cbrt (sin x)) (/ (sqrt x) (/ (tan (/ x 2)) x))) (* (/ (tan (/ x 2)) x) (/ (cbrt (sin x)) x)) (/ (sqrt (sin x)) (/ (cbrt x) (/ (tan (/ x 2)) x))) (/ (* (/ (tan (/ x 2)) x) (sqrt (sin x))) (sqrt x)) (/ (* (/ (tan (/ x 2)) x) (sqrt (sin x))) x) (/ (/ (sin x) (cbrt x)) (/ x (tan (/ x 2)))) (/ (* (sin x) (/ (tan (/ x 2)) x)) (sqrt x)) (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (* (sin x) (/ (tan (/ x 2)) x)) x) (/ (/ (tan (/ x 2)) x) x) (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (/ (* (sin x) (/ (tan (/ x 2)) x)) x)) (+ (* 1/240 (* (* x x) (* x x))) (+ (* x (* x 1/24)) 1/2)) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (/ (sin (* x 1/2)) (* (cos (* x 1/2)) x)) (+ (+ (* (* x x) -1/6) 1) (* 1/120 (* (* x x) (* x x)))) (/ (sin x) x) (/ (sin x) x) (+ (+ 1/2 (* (* x x) (* (* x x) 1/720))) (* (* x x) -1/24)) (* (/ (sin x) (cos (* x 1/2))) (/ (sin (* x 1/2)) (* x x))) (* (/ (sin x) (cos (* x 1/2))) (/ (sin (* x 1/2)) (* x x))) 7.690 * * * [progress]: adding candidates to table 8.165 * * [progress]: iteration 4 / 4 8.165 * * * [progress]: picking best candidate 8.183 * * * * [pick]: Picked # 8.183 * * * [progress]: localizing error 8.221 * * * [progress]: generating rewritten candidates 8.221 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 8.238 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 8.261 * * * [progress]: generating series expansions 8.261 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 8.261 * [backup-simplify]: Simplify (/ (* x x) (tan (/ x 2))) into (/ (pow x 2) (tan (* 1/2 x))) 8.261 * [approximate]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in (x) around 0 8.261 * [taylor]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in x 8.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.261 * [taylor]: Taking taylor expansion of x in x 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify 1 into 1 8.261 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.261 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.261 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.261 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.261 * [taylor]: Taking taylor expansion of 1/2 in x 8.261 * [backup-simplify]: Simplify 1/2 into 1/2 8.261 * [taylor]: Taking taylor expansion of x in x 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify 1 into 1 8.262 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.262 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.262 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.262 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.262 * [taylor]: Taking taylor expansion of 1/2 in x 8.263 * [backup-simplify]: Simplify 1/2 into 1/2 8.263 * [taylor]: Taking taylor expansion of x in x 8.263 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify 1 into 1 8.263 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.264 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.266 * [backup-simplify]: Simplify (* 1 1) into 1 8.266 * [backup-simplify]: Simplify (/ 1 1/2) into 2 8.266 * [taylor]: Taking taylor expansion of (/ (pow x 2) (tan (* 1/2 x))) in x 8.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.266 * [taylor]: Taking taylor expansion of x in x 8.266 * [backup-simplify]: Simplify 0 into 0 8.266 * [backup-simplify]: Simplify 1 into 1 8.266 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.266 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.266 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.267 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.267 * [taylor]: Taking taylor expansion of 1/2 in x 8.267 * [backup-simplify]: Simplify 1/2 into 1/2 8.267 * [taylor]: Taking taylor expansion of x in x 8.267 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify 1 into 1 8.267 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.268 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.268 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.268 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.268 * [taylor]: Taking taylor expansion of 1/2 in x 8.268 * [backup-simplify]: Simplify 1/2 into 1/2 8.268 * [taylor]: Taking taylor expansion of x in x 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify 1 into 1 8.268 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.269 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.271 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.271 * [backup-simplify]: Simplify (* 1 1) into 1 8.271 * [backup-simplify]: Simplify (/ 1 1/2) into 2 8.272 * [backup-simplify]: Simplify 2 into 2 8.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.274 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.274 * [backup-simplify]: Simplify (+ 0) into 0 8.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.276 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0 8.276 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 8.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 8.283 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 8.284 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/6 8.284 * [backup-simplify]: Simplify -1/6 into -1/6 8.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.288 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.291 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 8.294 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ 1/24 1/2)) (* -1/6 (/ 0 1/2)))) into 0 8.294 * [backup-simplify]: Simplify 0 into 0 8.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 8.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 8.307 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 8.309 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 1/240 1/2)) (* 0 (/ 0 1/2)) (* -1/6 (/ 1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/360 8.309 * [backup-simplify]: Simplify -1/360 into -1/360 8.310 * [backup-simplify]: Simplify (+ (* -1/360 (pow x 5)) (+ (* -1/6 (pow x 3)) (* 2 x))) into (- (* 2 x) (+ (* 1/6 (pow x 3)) (* 1/360 (pow x 5)))) 8.310 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (tan (/ (/ 1 x) 2))) into (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) 8.310 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in (x) around 0 8.310 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in x 8.310 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ 1/2 x))) in x 8.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.310 * [taylor]: Taking taylor expansion of x in x 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 1 into 1 8.310 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.310 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.310 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.310 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.310 * [taylor]: Taking taylor expansion of 1/2 in x 8.310 * [backup-simplify]: Simplify 1/2 into 1/2 8.310 * [taylor]: Taking taylor expansion of x in x 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 1 into 1 8.311 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.311 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.311 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.311 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.311 * [taylor]: Taking taylor expansion of 1/2 in x 8.311 * [backup-simplify]: Simplify 1/2 into 1/2 8.311 * [taylor]: Taking taylor expansion of x in x 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.312 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.312 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.312 * [backup-simplify]: Simplify (* 1 1) into 1 8.312 * [backup-simplify]: Simplify (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.312 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) 8.312 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ 1/2 x)))) in x 8.313 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ 1/2 x))) in x 8.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.313 * [taylor]: Taking taylor expansion of x in x 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.313 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.313 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.313 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.313 * [taylor]: Taking taylor expansion of 1/2 in x 8.313 * [backup-simplify]: Simplify 1/2 into 1/2 8.313 * [taylor]: Taking taylor expansion of x in x 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.314 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.314 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.314 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.314 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.314 * [taylor]: Taking taylor expansion of 1/2 in x 8.314 * [backup-simplify]: Simplify 1/2 into 1/2 8.314 * [taylor]: Taking taylor expansion of x in x 8.314 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify 1 into 1 8.314 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.315 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.315 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.315 * [backup-simplify]: Simplify (* 1 1) into 1 8.315 * [backup-simplify]: Simplify (* 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.315 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) 8.316 * [backup-simplify]: Simplify (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) into (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) 8.316 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 8.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0 8.318 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 8.318 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0 8.320 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 8.320 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 8.324 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0 8.328 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 8.328 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0 8.333 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0 8.338 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ 1/2 x)) (sin (/ 1/2 x))) (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) (* 0 (/ 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 8.338 * [backup-simplify]: Simplify 0 into 0 8.338 * [backup-simplify]: Simplify (* (/ (cos (/ 1/2 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (pow (/ 1 (/ 1 x)) 2)) into (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 x))) 8.339 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) into (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) 8.339 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in (x) around 0 8.339 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in x 8.339 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x 8.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.339 * [taylor]: Taking taylor expansion of x in x 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.339 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.339 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.339 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.339 * [taylor]: Taking taylor expansion of -1/2 in x 8.339 * [backup-simplify]: Simplify -1/2 into -1/2 8.339 * [taylor]: Taking taylor expansion of x in x 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.340 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.340 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.340 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.340 * [taylor]: Taking taylor expansion of -1/2 in x 8.340 * [backup-simplify]: Simplify -1/2 into -1/2 8.340 * [taylor]: Taking taylor expansion of x in x 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.340 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.340 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.341 * [backup-simplify]: Simplify (* 1 1) into 1 8.341 * [backup-simplify]: Simplify (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.341 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) 8.341 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (tan (/ -1/2 x)))) in x 8.341 * [taylor]: Taking taylor expansion of (* (pow x 2) (tan (/ -1/2 x))) in x 8.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.341 * [taylor]: Taking taylor expansion of x in x 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 1 into 1 8.341 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.341 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.341 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.341 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.341 * [taylor]: Taking taylor expansion of -1/2 in x 8.341 * [backup-simplify]: Simplify -1/2 into -1/2 8.341 * [taylor]: Taking taylor expansion of x in x 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 1 into 1 8.342 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.342 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.342 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.342 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.342 * [taylor]: Taking taylor expansion of -1/2 in x 8.342 * [backup-simplify]: Simplify -1/2 into -1/2 8.342 * [taylor]: Taking taylor expansion of x in x 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 1 into 1 8.343 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.343 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.343 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.343 * [backup-simplify]: Simplify (* 1 1) into 1 8.343 * [backup-simplify]: Simplify (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.343 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) 8.344 * [backup-simplify]: Simplify (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) into (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) 8.344 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 8.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0 8.345 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 8.345 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 8.348 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 8.348 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 8.351 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 8.352 * [backup-simplify]: Simplify 0 into 0 8.352 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 8.356 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 8.356 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 8.361 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 8.366 * [backup-simplify]: Simplify (- (+ (* (/ (cos (/ -1/2 x)) (sin (/ -1/2 x))) (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) (* 0 (/ 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 8.366 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (/ 1 (- x))) 2)) into (/ (* (cos (* 1/2 x)) (pow x 2)) (sin (* 1/2 x))) 8.367 * * * * [progress]: [ 2 / 2 ] generating series at (2) 8.367 * [backup-simplify]: Simplify (/ (/ (sin x) 1) (/ (* x x) (tan (/ x 2)))) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 8.367 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 8.367 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 8.367 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 8.367 * [taylor]: Taking taylor expansion of (sin x) in x 8.367 * [taylor]: Taking taylor expansion of x in x 8.367 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify 1 into 1 8.367 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.367 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.367 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.367 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.367 * [taylor]: Taking taylor expansion of 1/2 in x 8.367 * [backup-simplify]: Simplify 1/2 into 1/2 8.367 * [taylor]: Taking taylor expansion of x in x 8.367 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify 1 into 1 8.368 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.369 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.369 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.369 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.369 * [taylor]: Taking taylor expansion of 1/2 in x 8.369 * [backup-simplify]: Simplify 1/2 into 1/2 8.369 * [taylor]: Taking taylor expansion of x in x 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 1 into 1 8.369 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.370 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.371 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.371 * [taylor]: Taking taylor expansion of x in x 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 1 into 1 8.372 * [backup-simplify]: Simplify (* 0 1/2) into 0 8.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.374 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.374 * [backup-simplify]: Simplify (+ 0) into 0 8.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.376 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 8.377 * [backup-simplify]: Simplify (* 1 1) into 1 8.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.377 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 8.377 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 8.377 * [taylor]: Taking taylor expansion of (sin x) in x 8.377 * [taylor]: Taking taylor expansion of x in x 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.377 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.378 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.378 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.378 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.378 * [taylor]: Taking taylor expansion of 1/2 in x 8.378 * [backup-simplify]: Simplify 1/2 into 1/2 8.378 * [taylor]: Taking taylor expansion of x in x 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.379 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.379 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.379 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.379 * [taylor]: Taking taylor expansion of 1/2 in x 8.379 * [backup-simplify]: Simplify 1/2 into 1/2 8.379 * [taylor]: Taking taylor expansion of x in x 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify 1 into 1 8.379 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.380 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.381 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.381 * [taylor]: Taking taylor expansion of x in x 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 1 into 1 8.382 * [backup-simplify]: Simplify (* 0 1/2) into 0 8.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.384 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.384 * [backup-simplify]: Simplify (+ 0) into 0 8.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.386 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 8.386 * [backup-simplify]: Simplify (* 1 1) into 1 8.387 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.387 * [backup-simplify]: Simplify 1/2 into 1/2 8.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.389 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 8.390 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 8.392 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 8.393 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.394 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 8.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.402 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.405 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 8.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 8.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 8.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.412 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 8.412 * [backup-simplify]: Simplify -1/24 into -1/24 8.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.418 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 8.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 8.425 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 8.426 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.427 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 8.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 8.429 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.432 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.435 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 8.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 8.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 8.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.442 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 8.442 * [backup-simplify]: Simplify 1/720 into 1/720 8.442 * [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))) 8.442 * [backup-simplify]: Simplify (/ (/ (sin (/ 1 x)) 1) (/ (* (/ 1 x) (/ 1 x)) (tan (/ (/ 1 x) 2)))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 8.442 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 8.442 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 8.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.442 * [taylor]: Taking taylor expansion of x in x 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify 1 into 1 8.442 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 8.442 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.442 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.442 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.442 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.442 * [taylor]: Taking taylor expansion of 1/2 in x 8.442 * [backup-simplify]: Simplify 1/2 into 1/2 8.442 * [taylor]: Taking taylor expansion of x in x 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify 1 into 1 8.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.443 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.443 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.443 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.443 * [taylor]: Taking taylor expansion of 1/2 in x 8.443 * [backup-simplify]: Simplify 1/2 into 1/2 8.443 * [taylor]: Taking taylor expansion of x in x 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 1 into 1 8.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.443 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.443 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.443 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.444 * [taylor]: Taking taylor expansion of x in x 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (/ 1 1) into 1 8.444 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.444 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 8.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.444 * [taylor]: Taking taylor expansion of x in x 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 8.444 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.444 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.444 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.444 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.444 * [taylor]: Taking taylor expansion of 1/2 in x 8.444 * [backup-simplify]: Simplify 1/2 into 1/2 8.444 * [taylor]: Taking taylor expansion of x in x 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.445 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.445 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.445 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.445 * [taylor]: Taking taylor expansion of 1/2 in x 8.445 * [backup-simplify]: Simplify 1/2 into 1/2 8.445 * [taylor]: Taking taylor expansion of x in x 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 1 into 1 8.445 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.445 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.445 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.445 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.445 * [taylor]: Taking taylor expansion of x in x 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 1 into 1 8.445 * [backup-simplify]: Simplify (/ 1 1) into 1 8.445 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.446 * [backup-simplify]: Simplify (* 1 1) into 1 8.446 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 8.446 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 8.446 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 8.446 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 8.446 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 8.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.448 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 8.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 8.450 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.452 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 8.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 8.454 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.456 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 8.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.461 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 8.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 8.463 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.465 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 8.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 8.468 * [backup-simplify]: Simplify (/ (/ (sin (/ 1 (- x))) 1) (/ (* (/ 1 (- x)) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 8.468 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 8.468 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 8.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.468 * [taylor]: Taking taylor expansion of x in x 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 1 into 1 8.468 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 8.468 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.468 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.468 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.468 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.468 * [taylor]: Taking taylor expansion of -1/2 in x 8.468 * [backup-simplify]: Simplify -1/2 into -1/2 8.468 * [taylor]: Taking taylor expansion of x in x 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 1 into 1 8.469 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.469 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.469 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.469 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.469 * [taylor]: Taking taylor expansion of -1/2 in x 8.469 * [backup-simplify]: Simplify -1/2 into -1/2 8.469 * [taylor]: Taking taylor expansion of x in x 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.469 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.469 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.469 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.469 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.469 * [taylor]: Taking taylor expansion of -1 in x 8.469 * [backup-simplify]: Simplify -1 into -1 8.469 * [taylor]: Taking taylor expansion of x in x 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.469 * [backup-simplify]: Simplify (/ -1 1) into -1 8.470 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.470 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 8.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.470 * [taylor]: Taking taylor expansion of x in x 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 1 into 1 8.470 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 8.470 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.470 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.470 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.470 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.470 * [taylor]: Taking taylor expansion of -1/2 in x 8.470 * [backup-simplify]: Simplify -1/2 into -1/2 8.470 * [taylor]: Taking taylor expansion of x in x 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 1 into 1 8.470 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.470 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.470 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.470 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.470 * [taylor]: Taking taylor expansion of -1/2 in x 8.470 * [backup-simplify]: Simplify -1/2 into -1/2 8.470 * [taylor]: Taking taylor expansion of x in x 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 1 into 1 8.471 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.471 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.471 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.471 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.471 * [taylor]: Taking taylor expansion of -1 in x 8.471 * [backup-simplify]: Simplify -1 into -1 8.471 * [taylor]: Taking taylor expansion of x in x 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify 1 into 1 8.471 * [backup-simplify]: Simplify (/ -1 1) into -1 8.471 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.471 * [backup-simplify]: Simplify (* 1 1) into 1 8.472 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 8.472 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 8.472 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 8.472 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 8.472 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 8.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.473 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 8.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 8.475 * [backup-simplify]: Simplify 0 into 0 8.475 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.476 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 8.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.480 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 8.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 8.483 * [backup-simplify]: Simplify 0 into 0 8.483 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.486 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 8.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 8.489 * [backup-simplify]: Simplify 0 into 0 8.490 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.492 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 8.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 8.496 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 8.497 * * * [progress]: simplifying candidates 8.497 * * * * [progress]: [ 1 / 182 ] simplifiying candidate # 8.497 * * * * [progress]: [ 2 / 182 ] simplifiying candidate # 8.497 * * * * [progress]: [ 3 / 182 ] simplifiying candidate # 8.497 * * * * [progress]: [ 4 / 182 ] simplifiying candidate # 8.497 * * * * [progress]: [ 5 / 182 ] simplifiying candidate # 8.497 * * * * [progress]: [ 6 / 182 ] simplifiying candidate # 8.497 * * * * [progress]: [ 7 / 182 ] simplifiying candidate # 8.497 * * * * [progress]: [ 8 / 182 ] simplifiying candidate # 8.497 * * * * [progress]: [ 9 / 182 ] simplifiying candidate # 8.498 * * * * [progress]: [ 10 / 182 ] simplifiying candidate # 8.498 * * * * [progress]: [ 11 / 182 ] simplifiying candidate # 8.498 * * * * [progress]: [ 12 / 182 ] simplifiying candidate # 8.498 * * * * [progress]: [ 13 / 182 ] simplifiying candidate # 8.498 * * * * [progress]: [ 14 / 182 ] simplifiying candidate # 8.498 * * * * [progress]: [ 15 / 182 ] simplifiying candidate # 8.498 * * * * [progress]: [ 16 / 182 ] simplifiying candidate # 8.498 * * * * [progress]: [ 17 / 182 ] simplifiying candidate # 8.498 * * * * [progress]: [ 18 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 19 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 20 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 21 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 22 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 23 / 182 ] simplifiying candidate #real (real->posit16 (/ (* x x) (tan (/ x 2)))))))> 8.499 * * * * [progress]: [ 24 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 25 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 26 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 27 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 28 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 29 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 30 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 31 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 32 / 182 ] simplifiying candidate # 8.499 * * * * [progress]: [ 33 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 34 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 35 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 36 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 37 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 38 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 39 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 40 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 41 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 42 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 43 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 44 / 182 ] simplifiying candidate # 8.500 * * * * [progress]: [ 45 / 182 ] 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8.508 * * * * [progress]: [ 154 / 182 ] simplifiying candidate # 8.508 * * * * [progress]: [ 155 / 182 ] simplifiying candidate # 8.508 * * * * [progress]: [ 156 / 182 ] simplifiying candidate # 8.508 * * * * [progress]: [ 157 / 182 ] simplifiying candidate # 8.508 * * * * [progress]: [ 158 / 182 ] simplifiying candidate # 8.508 * * * * [progress]: [ 159 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 160 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 161 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 162 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 163 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 164 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 165 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 166 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 167 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 168 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 169 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 170 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 171 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 172 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 173 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 174 / 182 ] simplifiying candidate # 8.509 * * * * [progress]: [ 175 / 182 ] simplifiying candidate # 8.510 * * * * [progress]: [ 176 / 182 ] simplifiying candidate #real (real->posit16 (/ (/ (sin x) 1) (/ (* x x) (tan (/ x 2)))))))> 8.510 * * * * [progress]: [ 177 / 182 ] simplifiying candidate # 8.510 * * * * [progress]: [ 178 / 182 ] simplifiying candidate # 8.510 * * * * [progress]: [ 179 / 182 ] simplifiying candidate # 8.510 * * * * [progress]: [ 180 / 182 ] simplifiying candidate # 8.510 * * * * [progress]: [ 181 / 182 ] simplifiying candidate # 8.510 * * * * [progress]: [ 182 / 182 ] simplifiying candidate # 8.515 * [simplify]: Simplifying: (- (+ (log x) (log x)) (log (tan (/ x 2)))) (- (log (* x x)) (log (tan (/ x 2)))) (log (/ (* x x) (tan (/ x 2)))) (exp (/ (* x x) (tan (/ x 2)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (cbrt (/ (* x x) (tan (/ x 2)))) (cbrt (/ (* x x) (tan (/ x 2))))) (cbrt (/ (* x x) (tan (/ x 2)))) (* (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))) (/ (* x x) (tan (/ x 2)))) (sqrt (/ (* x x) (tan (/ x 2)))) (sqrt (/ (* x x) (tan (/ x 2)))) (- (* x x)) (- (tan (/ x 2))) (/ x (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x 1) (/ x (tan (/ x 2))) (/ 1 (tan (/ x 2))) (/ (tan (/ x 2)) (* x x)) (/ (* x x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (/ (* x x) (sqrt (tan (/ x 2)))) (/ (* x x) 1) (/ (tan (/ x 2)) x) (/ (* x x) (sin (/ x 2))) (real->posit16 (/ (* x x) (tan (/ x 2)))) (- (- (log 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[simplify]: iteration 0: 350 enodes 8.684 * * [simplify]: iteration 1: 1030 enodes 9.067 * * [simplify]: iteration 2: 3280 enodes 9.786 * * [simplify]: iteration complete: 5019 enodes 9.786 * * [simplify]: Extracting #0: cost 102 inf + 0 9.790 * * [simplify]: Extracting #1: cost 1272 inf + 205 9.806 * * [simplify]: Extracting #2: cost 1613 inf + 34523 9.834 * * [simplify]: Extracting #3: cost 1033 inf + 133203 9.885 * * [simplify]: Extracting #4: cost 431 inf + 300837 9.972 * * [simplify]: Extracting #5: cost 43 inf + 449246 10.038 * * [simplify]: Extracting #6: cost 0 inf + 467914 10.133 * [simplify]: Simplified to: (log (/ x (/ (tan (/ x 2)) x))) (log (/ x (/ (tan (/ x 2)) x))) (log (/ x (/ (tan (/ x 2)) x))) (exp (/ x (/ (tan (/ x 2)) x))) (* (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))) (/ (* x x) (tan (/ x 2)))) (* (* (/ (* x x) (tan (/ x 2))) (/ (* x x) (tan (/ x 2)))) (/ (* x x) (tan (/ x 2)))) (* (cbrt (/ x (/ (tan (/ x 2)) x))) (cbrt (/ x (/ (tan (/ x 2)) x)))) (cbrt 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x 2)))) (* (/ x (sin x)) (/ x (tan (/ x 2)))) (* (/ x (sin x)) (/ x (tan (/ x 2)))) (* (/ x (sin x)) (/ x (tan (/ x 2)))) (* (/ x (sin x)) (/ x (tan (/ x 2)))) (/ x (/ (tan (/ x 2)) x)) (/ (sin x) (* x x)) (/ x (/ (tan (/ x 2)) x)) (real->posit16 (* (/ (sin x) (* x x)) (tan (/ x 2)))) (- (- (* 2 x) (* 1/6 (* (* x x) x))) (* 1/360 (pow x 5))) (/ (* x x) (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (/ (* x x) (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (+ (- 1/2 (* (* x x) 1/24)) (* (* (* x x) (* x x)) 1/720)) (/ (/ (sin x) (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (* x x)) (/ (/ (sin x) (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (* x x)) 10.161 * * * [progress]: adding candidates to table 10.935 * [progress]: [Phase 3 of 3] Extracting. 10.935 * * [regime]: Finding splitpoints for: (# # # # #) 10.937 * * * [regime-changes]: Trying 1 branch expressions: (x) 10.937 * * * * [regimes]: Trying to branch on x from (# # # # #) 10.983 * * * [regime]: Found split indices: #